Exam Syllabus Previous Year Question Paper Try Free Mock Test

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Q. 1.

A, B and C can individually complete a piece of work in 24 days, 15 days and 12 days, respectively. B and C started the work and worked for 3 days and left. The number of days required by A alone to complete the remaining work, is

Select the correct answer

15 $\frac{1}{2}$

13 $\frac{1}{5}$

Correct Answer is: D

Solution:

Q. 2.

Select the correct answer

-2

Correct Answer is: A

Solution:

Q. 3.

If x - y = 4 and xy = 45, then the value of x³ - y³ is

Select the correct answer

604

822

151

Correct Answer is: A

Solution:

Q. 4.

The radius of a circular garden is 42 m. The distance (in m) covered by running 8 rounds around it, is (take $\pi$ = 22/7)

Select the correct answer

1124

2112

3248

4262

Correct Answer is: B

Solution:

Q. 5.

The given table shows the number (in thousands) of cars of five different models A, B, C, D and E produced during Years 2012- 2017. Study the table and answer the question that follow.

In the year 2015, which type of car constitutes exactly 20% of the total number of cars produced that year?

Correct Answer is: A

Solution:

Q. 6. A person sells an article at 10% below its cost price. Had he sold it for Rs. 332 more, he would have made a profit of 20%. What is the original Selling price (in Rs) of the article?

Select the correct answer

1028

1328

996

896

Correct Answer is: C

Solution:

Q. 7.

Select the correct answer

$\frac{15}{9}$

$-\frac{5}{3}$

$-\frac{15}{19}$

$\frac{5}{3}$

Correct Answer is: C

Solution:

Q. 8.

The given table shows the number (in thousands) of cars of five different models A, B, C, D and E produced during Years 2012- 2017. Study the table and answer the question that follows.

In 2013 and 2014 are put together, which type of cars constitute exactly 25% of the total number of cars produced in those 2 yr?

Correct Answer is: D

Solution:

Q. 9.

A,B and C are three points on a circle such that the angles subtended by the chord AB and AC at the center O are 110^° and 130^°, respectively. Then, the value of $\angle$ BAC is

Select the correct answer

65^°

60^°

70^°

75^°

Correct Answer is: B

Solution:

Q. 10.

A train crosses a pole in 12 sec and a bridge of length 170 m in 36 sec. Then, the speed of the train is

Select the correct answer

30.75 km/h

10.8 km/h

25.5 km/h

32.45 km/h

Correct Answer is: C

Solution:

Q. 11. The ratio of the number of boys to the number of girls in a school of 640 students is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted, so that the ratio of boys to that of the girls, becomes 14 : 9 ?

Select the correct answer

Correct Answer is: C

Solution:

Q. 12.

Select the correct answer

3ac

3ab

3bc

Correct Answer is: B

Solution:

Q. 13. If the length of a rectangle is increased by 405 and the breadth is decreased by 20%, then the area of the rectangle increases by x%. Then the value of x is

Select the correct answer

Correct Answer is: D

Solution:

Q. 14. Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6th number. If their average is 136, then the 6th number is

Select the correct answer

102

116

Correct Answer is: A

Solution:

Q. 15. If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be

Select the correct answer

Correct Answer is: B

Solution:

Q. 16.

If A + B = 45^°, then the value of 2(1 + tanA)(1 + tanB) is

Select the correct answer

Correct Answer is: A

Solution:

Q. 17.

In triangle ABC, MN parallel to BC, then area of quadrilateral MBCN = 130 cm². If AN : NC = 4 : 5, then the area of triangle MAN is

Select the correct answer

45 cm²

65 cm²

32 cm²

40 cm²

Correct Answer is: C

Solution:

Q. 18. A shopkeeper marks the price of the article in such a way that after allowing 28% discount, he wants a gain of 12%. If the marked price is Rs. 224, then the cost price of the article is

Select the correct answer

Rs. 144

Rs. 168

Rs. 120

Rs. 196

Correct Answer is: A

Solution:

Q. 19.

If the base radius of two cylinders is in the ratio 3 : 4 and their heights are in the ratio 4 : 9, then the ratio of their volumes is

Select the correct answer

1 : 2

2 : 1

4 : 1

1 : 4

Correct Answer is: D

Solution:

Q. 20.

The given table shows the number (in thousands) of cars of five different models A, B, C, D and E produced during Years 2012- 2017. Study the table and answer the question that follow.

The percentage increase in the total cars in 2016 over 2012, is

33.33%

45%

50%

62.33%

Correct Answer is: C

Solution:

Q. 21.

Select the correct answer

7/5

18/11

Correct Answer is: D

Solution:

Q. 22.

The area of triangle ABC is 44 cm². If D is the mid-point of BC and E is the mid-point of AB, then the area (in cm²) of triangle BDE is

Select the correct answer

5.5

Correct Answer is: A

Solution:

Q. 23. Rs. 4300 becomes Rs. 4644 in 2 yr at simple interest. What is the principal amount that will become Rs. 10104 in 5 yr at the same rate of interest.

Select the correct answer

Rs. 8420

Rs. 9260

Rs. 5710

Rs. 7200

Correct Answer is: A

Solution:

Q. 24.

If x = 4 cos A + 5 sinA and y = 4 sin A - 5cos A, then the value of x² + y² is

Select the correct answer

Correct Answer is: D

Solution:

Q. 25.

The given table shows the number (in thousands) of cars of five different models A, B, C, D and E produced during Years 2012- 2017. Study the table and answer the question that follow.

The percentage decrease in the production of which type of car In 2017, with reference to 2016, was the maximum?

Correct Answer is: C

Solution:

Q. 26. The average of five consecutive even numbers is M. If the next five even numbers are also included, the average of ten numbers will be

Select the corrrect answer

M + 5

M + 10

Correct Answer is: A

Solution:

Q. 27.

The value of -5/2 + 3/2 $\div$ 6 x 1/2 is equal to

Select the corrrect answer

-1/3

-1/12

-19/18

-9/8

Correct Answer is: C

Solution:

Q. 28.

(a + b - c + d)² - (a - b + c - d)² =?

Select the corrrect answer

4a(b + d - c)

2a( a + b - c)

2a(b + c - d)

4a(b - d + c)

Correct Answer is: A

Solution:

Q. 29.

Select the corrrect answer

Correct Answer is: D

Solution:

Q. 30. Two racers run at a speed of 100 m/min and 120 m/min, respectively. If the second racer takes 10 minutes less than the first to complete the run, then how long is the race?

Select the corrrect answer

2 km

4 km

6 km

1 km

Correct Answer is: C

Solution:

Q. 31.

The table below shows income (in rupees) for a particular month, together with their sources in respect of 5 employees A, B, C, D, and E.

How many employees have their salary more than four times their other incomes?

Correct Answer is: B

Solution:

Q. 32.

As per data in the table, what is the percentage of students who got 20 or more marks?

Select the corrrect answer

14%

58%

54%

42%

Correct Answer is: D

Solution:

Q. 33.

Select the corrrect answer

Correct Answer is: C

Solution:

Q. 34.

Select the corrrect answer

17/18

15/17

15/8

8/15

Correct Answer is: C

Solution:

Q. 35. A can finish a work in 20 days and B can finish the same work in 25 days. They begin together, but B left the work after 5 days. How many more days will A take to finish the remaining work?

Select the corrrect answer

Correct Answer is: A

Solution:

Q. 36.

The curved surface area of a hemisphere with a radius 7 cm is (Take $\pi$ = 22/7 )

Select the corrrect answer

616 cm²

385 cm²

462 cm²

308 cm²

Correct Answer is: D

Solution:

Q. 37.

Select the corrrect answer

7.5

8.5

1/7

Correct Answer is: A

Solution:

Q. 38.

From the following table, how many patients were in the age group 40-60?

Select the corrrect answer

Correct Answer is: D

Solution:

Q. 39.

The number of students enrolled in different faculties in a school is as follows

The percentage of students studying in Science and Vocational subjects is

93%

50%

37.20%

25%

Correct Answer is: C

Solution:

Q. 40.

In triangle ABC, if AB = AC and $\angle$ BAC = 40^°, then the measure of $\angle$ B is

Select the corrrect answer

60^°

40^°

70^°

50^°

Correct Answer is: C

Solution:

Q. 41. What should replace * in the number 94*2357, so that number is divisible by 11?

Select the corrrect answer

Correct Answer is: D

Solution:

Q. 42. Two numbers are in the ratio 5 : 7. If the first number is 20, then the second number will be

Select the corrrect answer

Correct Answer is: C

Solution:

Q. 43. If the difference between 62% and 80% of a number is 198, then the difference between 92% and 56% of the number will be

Select the corrrect answer

1100

3564

396

360

Correct Answer is: C

Solution:

Q. 44.

In the given figure, AP bisects angle BAC. If AB = 4 cm, AC = 6 cm and BP = 3 cm, then the length of CP is

Select the corrrect answer

3 cm

7 cm

5 cm

4.5 cm

Correct Answer is: D

Solution:

Q. 45. A dealer sold 6 sewing machines for Rs. 63,000 with a profit of 5%. For how much should he sells 8 machines if he intends to earn 15% profit?

Select the corrrect answer

Rs. 88200

Rs. 69300

Rs. 92000

Rs. 92400

Correct Answer is: C

Solution:

Q. 46.

In the given figure, AP and BP are tangents to a circle with center O. If $\angle$ APB = 62^° then the measure of $\angle$ AQB is

Select the corrrect answer

28^º

118^°

31^°

59^°

Correct Answer is: D

Solution:

Q. 47.

Select the corrrect answer

Correct Answer is: C

Solution:

Q. 48. In a circle with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is

Select the corrrect answer

3 cm

7 cm

8 cm

2 cm

Correct Answer is: C

Solution:

Q. 49. A person marked his goods at a price that would give him 40% profit but he declared a sale and allowed 20% discount on the marked price. What is the profit percentage of the person in the whole transaction ?

Select the corrrect answer

12%

32%

30%

20%

Correct Answer is: A

Solution:

Q. 50. The simple interest on a certain sum at the end of 3 yr at 5% per annum is Rs. 1200. The compound interest on the same sum for the same period at the same rate is (interest compounded yearly)

Select the corrrect answer

Rs. 180

Rs. 1261

Rs. 820

Rs. 1260

Correct Answer is: B

Solution:

Q. 51.

The given table represents the production of different types of motorcycles (in thousands)over a period of six years. Study the table carefully and answer the question that follows.

During 2015, the production of which type of motorcycle was more than 25% of the total production of all types of motorcycles in 2017?

Correct Answer is: D

Solution:

Q. 52. The average age of a number of persons in a group was calculated as 35 years, which was 2.5 years more than the correct average as there was an error in recording the age of two persons as 38.5 yr and 40 yr instead of 29 yr and 22 yr respectively. The number of persons in the group was

Select the correct answer

Correct Answer is: A

Solution:

Q. 53.

Select the correct answer

Correct Answer is: B

Solution:

Q. 54. The chords AB and CD of a circle intersect at E. If AE = 12 cm, BE = 20.25 cm and CE = 3 DE, then the length (in cm) of CE is

Select the correct answer

25.5

28.5

Correct Answer is: A

Solution:

Q. 55.

If x + y + z = 3, and x² + y² + z² = 101, then what is the value of $\sqrt{x^{3}+y^{3}+z^{3}-3xyz}$ ?

Select the correct answer

Correct Answer is: B

Solution:

Q. 56.

If 12x² - 21x + 1 = 0, then what is the value of 9x² + (16x²)^-1?

Select the correct answer

429/8

465/16

417/16

453/8

Correct Answer is: C

Solution:

Q. 57. A sum of Rs. x was divided between A, B, C and D in the ratio 1/3 : 1/5 : 1/6 : 1/9. If the difference between the shares of B and D is Rs. 832, then the value of x is

Select the correct answer

Rs. 7592

Rs. 7384

Rs. 7696

Rs. 7488

Correct Answer is: A

Solution:

Q. 58.

The area of a field in the shape of a regular hexagon is $2400\sqrt{3}$ m?. The cost of fencing the field at Rs. 16.80/m is

Select the correct answer

Rs. 4536

Rs. 3024

Rs. 4032

Rs. 3528

Correct Answer is: C

Solution:

Q. 59. Places A and B are 144 km apart. Two cars start simultaneously, one from A and the other from B. If they move in the same direction, they meet after 12 h, but if they move towards each other they meet after 9/8 h. The speed (in km/h)of the car moving at a faster speed, is

Select the correct answer

Correct Answer is: A

Solution:

Q. 60. A, B and C donate 8%, 7% and 9%,of their salaries,respectively to a charitable trust. The salaries of A and B are same and the difference between their donations is Rs. 259. The total donation of A and B is Rs. 1185 more than that of C. The total donation of A and C is what percentage of the total salaries of A, B and C? (Correct to one decimal place)

Select the correct answer

6.20%

5.80%

6.40%

7.10%

Correct Answer is: B

Solution:

Q. 61. Four men and 6 women can complete a certain piece of work in 5 days whereas three men and 4 women can complete it in 7 days. How many men should assist 25 women to complete 2 1/2 times the same work in 5 days?

Select the correct answer

Correct Answer is: D

Solution:

Q. 62.

In triangle ABC, angle B = 72^° and C = angle 44^°. Side BC is produced to D. The bisectors of angle B and angle ACD meet at E. What is the measure of angle BEC?

Select the correct answer

58^°

46^°

32^°

36^°

Correct Answer is: C

Solution:

Q. 63. In triangle ABC, AC = 8.4cm and BC = 14cm. P is a point on AB such that CP= 11.2 cm and angle ACP = angle B. What is the length (in cm) of BP?

Select the correct answer

4.12

2.8

3.78

3.6

Correct Answer is: C

Solution:

Q. 64.

If 2x² + y² + 8z² - $2\sqrt{2}$ xy + $4\sqrt{2}$ yz - 8zx = (Ax + y + By)², then the value of (A² + B² - AB) is

Select the correct answer

Correct Answer is: B

Solution:

Q. 65. How many numbers are there from 200 to 800 which are neither divisible by 5 nor by 7?

Select the correct answer

407

410

413

411

Correct Answer is: D

Solution:

Q. 66.

Select the correct answer

17/8

8/3

16/170

2/17

Correct Answer is: B

Solution:

Q. 67.

The given table represents the production of different types of motorcycles (in thousands) over a period of six years. Study the table carefully and answer the question that follows.

What is the percentage increase in the total production of all types of motorcycles from 2014 to 2018?

14 3/7

17 1/3

16 2/3

14 2/7

Correct Answer is: C

Solution:

Q. 68.

The given table represents the production of different types of motorcycles (in thousands) over a period of six years. Study the table carefully and answer the question that follows.

By what percentage is the total production of type A motorcycles over six years, less than the total production of all types of motorcycles in 2013 and 2016?

32.2

32.8

31.6

30.5

Correct Answer is: D

Solution:

Q. 69.

Two circles of radii 7 cm and 5 cm intersect each other at A and B, and the distance between their centres is 10 cm. The length (in cm) of the common chord AB is

Select the correct answer

Correct Answer is: B

Solution:

Q. 70. If the selling price of an article is 8% more than the cost price and the discount offered is 10% on the marked price of the article, then what is the ratio of the cost price to the marked price?

Select the correct answer

5 : 6

8 : 9

3 : 4

4 : 5

Correct Answer is: A

Solution:

Q. 71.

The given table represents the production of different types of motorcycles (in thousands) over a period of six years. Study the table carefully and answer the question that follows.

What is the ratio of the total number of motorcycles of type B produced in 2016 and 2018 to the total number of motorcycles of type D produced in 2013, 2015 and 2016?

1 : 2

3 : 4

3 : 5

2 : 3

Correct Answer is: C

Solution:

Q. 72. A sum of Rs. 8,000 invested at 10% p.a. amounts to Rs. 9,261 in a certain time, interest compounded half-yearly. What will be the compound interest (in Rs) on the same sum for the same time at double the earlier rate of interest, when interest is compounded annually?

Select the correct answer

Rs. 2520

Rs. 2480

Rs. 2560

Rs. 2500

Correct Answer is: C

Solution:

Q. 73.

A sells an article to B at a loss of 20%, B sells it to C at a profit of 12.5% and C sells it to D at a loss of 8%. If D buys it for Rs. 248.40, then what is the difference between the loss incurred by A and C?

Select the correct answer

Rs. 36.80

Rs. 38.40

Rs. 42.60

Rs. 39.20

Correct Answer is: B

Solution:

Q. 74.

Select the correct answer

52/27

26/15

28/27

49/45

Correct Answer is: A

Solution:

Q. 75.

Select the correct answer

1/2

4/3

Correct Answer is: B

Solution:

Q. 76.

In triangle ABC, angle B = 90^°, If the points D and E are on the side BC such that BD = DE = EC then which of the following is true?

Select the correct answer

5AE² = 2AC² + 3AD²

8AE² = 5AC² + 3AD²

8AE² = 3AC² + 5AD²

5AE² = 3AC² + 2AD²

Correct Answer is: C

Solution:

Q. 77. When a positive integer is divided by d, the remainder is 15. When ten times of the same number is divided by d. the remainder is 6. The least possible value of d is

Select the correct answer

Correct Answer is: B

Solution:

Q. 78. Reema sold 48 articles for Rs. 2,160 and suffered a loss of 10%. How many articles should she sell for Rs. 2,016 to earn a profit of 12%?

Select the correct answer

Correct Answer is: A

Solution:

Q. 79. A and B together borrowed a sum of Rs. 51,750 at an interest rate of 7% per annum compound interest in such a way that to settle the loan, A paid as much amount after 3 yr as paid by B after 4 yr from the day of borrowing. The sum (in Rs) borrowed by A was

Select the correct answer

25650

26750

25000

24860

Correct Answer is: B

Solution:

Q. 80.

Select the correct answer

Correct Answer is: C

Solution:

Q. 81. The marked price of an item is 25% above its cost price. A shopkeeper sells it, allowing a discount of x % on the marked price. If he incurs a loss of 8%, then the value of x is

Select the correct answer

25.60%

26.80%

26.40%

25.20%

Correct Answer is: C

Solution:

Q. 82. What x is added to each of 10, 16, 22 and 32, the numbers so obtained in this order are in proportion? What is the mean proportional between the numbers (x + 1) and (3x + 1)?

Select the correct answer

Correct Answer is: C

Solution:

Q. 83.

Select the correct answer

-1

Correct Answer is: B

Solution:

Q. 84. The average of some numbers is 54.6. If 75% of the numbers are increased by 5.6 each, and the rest are decreased by 8.4 each, then what is the average of the numbers so obtained?

Select the correct answer

55.6

55.8

56.7

56.3

Correct Answer is: C

Solution:

Q. 85. Diameter AB of a circle with centre O is produced to a point P such that PO = 16.8 cm. PQR is a secant which intersects the circle at Q and R such that PQ = 12 cm and PR = 19.2 cm. The length of AB (in cm) is

Select the correct answer

14.2

15.2

15.8

14.4

Correct Answer is: D

Solution:

Q. 86. A boat can go 3.6 km upstream and 5.4 km downstream in 54 minutes, while it can go 5.4 km upstream and 3.6 km downstream in 58.5 minutes. The time (in min) taken by the boat in going 10 km downstream is

Select the correct answer

Correct Answer is: B

Solution:

Q. 87.

Select the correct answer

5/4

3/2

3/4

5/2

Correct Answer is: B

Solution:

Q. 88.

The given table represents the sale (in thousands) of cars by four companies A, B, C and D in six years. Study the table and answer the question that follows.

The total number of cars sold by companies A in 2017 and C in 2013 is what percentage of the total number of cars sold by all four companies in 2013 and 2016? (correct to one decimal place)

23.8

24.2

25.6

23.3

Correct Answer is: D

Solution:

Q. 89.

Select the correct answer

Correct Answer is: A

Solution:

Q. 90. If the radius of a right circular cylinder is decreased by 10%, and the height is increased by 20%, then the percentage increase/decrease in its volume is

Select the correct answer

increase by 2.8%

decrease by 1.8%

increase by 1.8%

decrease by 2.8%

Correct Answer is: D

Solution:

Q. 91.

ABCD is a cyclic quadrilateral in which sides AD and BC are produced to meet at P and sides DC and AB meet at Q when produced. If angle A = 60^° and angle ABC = 72^°, then angle DPC - angle BQC = ?

Select the correct answer

36^°

30^°

24^°

40^°

Correct Answer is: A

Solution:

Q. 92.

The given table represents the sale (in thousands) of cars by four companies A, B, C and D in six yr. Study the table and answer the question that follows.

The Total number of cars sold by company C in 2018 exceeds the average number of cars sold by company A during 2014 to 2018 by

15000

14000

16000

12000

Correct Answer is: C

Solution:

Q. 93. A and B spend 60% and 75% of their incomes, respectively. If the savings of A are 20% more than that of B. then by what percentage is the income of A less than the income of B?

Select the correct answer

Correct Answer is: D

Solution:

Q. 94.

The given table represents the sale (in thousands) of cars by four companies A, B, C and in six years. Study the table and answer the question that follows.

The total number of cars sold by company B during 2015, 2017 and 2018 is what percentage less than the total number of cars sold by company C in 2013, 2015, 2017 and 2018?

16 2/3

33 1/3

Correct Answer is: B

Solution:

Q. 95. To complete a certain task, X is 40 % more efficient than Y, and Z is 40% less efficient than Y. Working together, they can complete the task in 21 days. Y and Z together worked for 35 days. The remaining work will be completed by X alone in

Select the correct answer

8 days

4 days

6 days

5 days

Correct Answer is: D

Solution:

Q. 96.

The given table represents the sale (in thousands) of cars by four companies A, B. C and D in six years. Study the table and answer the question that follows.

What is the ratio of the total number of cars sold by companies A, B and D in 2017 to the total number of cars sold by all four companies in 2018?

3 : 4

6 : 13

9 : 14

18 : 23

Correct Answer is: C

Solution:

Q. 97.

Select the correct answer

4 1/3

5 5/6

5 1/6

4 1/8

Correct Answer is: C

Solution:

Q. 98.

In triangle PQR, PQ = 24 cm and angle Q = 58^° S and T are the points on side PQ and PR, respectively, such that angle STR = 122^° . If PS = 14 cm and PT = 12 cm, then the length of RT is

Select the correct answer

14.8 cm

16 cm

15 cm

16.4 cm

Correct Answer is: B

Solution:

Q. 99.

Select the correct answer

Correct Answer is: A

Solution:

Q. 100.

If 20x² - 30x + 1 = 0, then what is the value of 25x² + 1/16x² ?

Select the correct answer

58 3/4

53 3/4

53 1/2

58 1/2

Correct Answer is: B

Solution:

Q. 101.

Two tangents PA and PB are drawn to a circle with center O from an external point P. If angle OAB = 30^°, then angle APB is

Select the correct answer

120^°

30^°

15^°

60^°

Correct Answer is: D

Solution:

Q. 102. ABC is an equilateral triangle. P,Q and R are the midpoints of sides AB,BC and CA, respectively. If the length of the side of the triangle triangle ABC is 8 cm, then the area of triangle PQR is

Select the correct answer

Correct Answer is: C

Solution:

Q. 103.

Select the correct answer

-2

-1

Correct Answer is: B

Solution:

Q. 104. The average of the marks of 30 boys is 88, and when the top two scores were excluded, the average marks reduced to 87.5. If the top two scores differ by 2, then the highest mark is

Select the correct answer

Correct Answer is: B

Solution:

Q. 105.

If x cos A - y sin A = 1 and x sin A + y cos A = 4, then the value of 17x² + 17y² is

Select the correct answer

289

Correct Answer is: D

Solution:

Q. 106.

A circular disc of area 0.64 $\pi$ m² rolls down a length of 1.408 km. The number of revolutions it makes is (Take Pie = 22/7)

Select the correct answer

280

360

140

180

Correct Answer is: A

Solution:

Q. 107. An article was sold at a gain of 18%. If it had been sold for Rs. 49 more, then the gain would have been 25%. The cost price of the article is

Select the correct answer

Rs. 700

Rs. 570

Rs. 650

Rs. 890

Correct Answer is: A

Solution:

Q. 108.

Select the correct answer

18/120

18/10

33/10

17/120

Correct Answer is: C

Solution:

Q. 109.

If a + b + c = 9 and ab + bc + ca = -22, then the value of a³ + b³ + c³ - 3abc is

Select the correct answer

783

1323

1571

487

Correct Answer is: B

Solution:

Q. 110. A shopkeeper marks the price of an article in such a way that after allowing a discount of 22%, he gets a gain of 11%.If the marked price is Rs. 888, then the cost price of the article is

Select the correct answer

Rs. 624

Rs. 782

Rs. 550

Rs. 895

Correct Answer is: A

Solution:

Q. 111.

In the following table, the production of various crops (in tonnes) is given from 2015 to 2019. Study the table and answer the questions that follow.

The percentage growth of maize in the year 2019 over the year 2015 is(correct to two decimal places)

65.12%

71.43%

77.77%

60.28%

Correct Answer is: B

Solution:

Q. 112.

If the area of an equilateral triangle is $36\sqrt{3}$ cm², then the perimeter of the triangle is

Select the correct answer

40 cm

36 cm

$18\sqrt{3}$ cm

12 cm

Correct Answer is: B

Solution:

Q. 113.

Select the correct answer

Correct Answer is: C

Solution:

Q. 114.

Select the correct answer

Correct Answer is: B

Solution:

Q. 115.

In the following table, the production of various crops (in tonnes) is given from 2015 to 2019. Study the table and answer the questions that follow.

The average production of wheat (in tonnes) in the period given in the table is

3600

3482

3300

4218

Correct Answer is: A

Solution:

Q. 116. A, B and C can individually complete a task in 24 days, 20 days and 18 days, respectively. B and C start the task, and they work for 6 days and leave. The number of days required by A alone to finish the remaining task, is

Select the correct answer

15 2/3 days

12 1/2 days

8 1/4 days

10 days

Correct Answer is: C

Solution:

Q. 117. What will be the difference in compound interest on a sum of Rs. 7,800 at 8% for 1 yr, when the interest is paid yearly and half yearly?

Select the correct answer

Rs. 29.18

Rs. 12.48

Rs. 24.72

Rs. 19.46

Correct Answer is: B

Solution:

Q. 118.

In the following table, the production of various crops(in tonnes) is given from 2015 to 2019. Study the table and answer the questions that follow.

The difference (in tonnes) between the average production of barley and average production of rice is

231

780

549

471

Correct Answer is: A

Solution:

Q. 119.

Select the correct answer

-2

-1

Correct Answer is: A

Solution:

Q. 120. A student takes 1.25 hours to travel from home to school at a speed of 4 km/h. By what percentage should he increase his speed to reduce the time by 25% to cover the same distance from school to home?

Select the correct answer

33 1/3%

50%

45%

25%

Correct Answer is: A

Solution:

Q. 121.

If a sum of Rs. 1,180 is to be divided among A, B, and C, such that 2 times A's share, 5 times B's share, and 7 times C's share, are equal, then A's share is

Select the correct answer

Rs. 500

Rs. 750

Rs. 650

Rs. 700

Correct Answer is: D

Solution:

Q. 122. If the number 687x29 is divisible by 9, then the value of 2x is

Select the correct answer

Correct Answer is: A

Solution:

Q. 123.

The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11050, then the population 2 years ago was

Select the correct answer

10000

99500

99000

10050

Correct Answer is: A

Solution:

Q. 124.

In the following table, the production of various crops(in tonnes) is given from 2015 to 2019. Study the table and answer the questions that follow.

The highest growth of sugarcane production over its previous year is recorded in the year

2018

2016

2019

2017

Correct Answer is: B

Solution:

Q. 125. A metallic sphere of diameter 40 cm is melted into smaller spheres of radius 0.5 cm. How many such small balls can be made?

Select the correct answer

32000

3200

64000

6400

Correct Answer is: C

Solution:

Q. 126.

Select the correct answer

-1

-2

Correct Answer is: D

Solution:

Q. 127.

From the given table, what is the percentage of students scoring 40 or more, but less then 70.

Select the correct answer

48%

96%

56%

Correct Answer is: A

Solution:

Q. 128.

The value of 3 - (9 - 3 x 8 $\div$ 2) is

Select the correct answer

-21

21/2

Correct Answer is: B

Solution:

Q. 129.

The coefficient of y in the expansion of (2y - 5)³, is

Select the correct answer

150

-30

-150

Correct Answer is: A

Solution:

Q. 130.

In a school, a distribution of teachers is as follows

The total number of teachers of age less than 40 yr is

Correct Answer is: A

Solution:

Q. 131.

Ten men or twelve women can finish the same work in 10 days. If 5 men and 2 women undertake the work together, how many days will they take to complete the work?

Select the correct answer

Correct Answer is: A

Solution:

Q. 132. In an examination, Anita scored 31% marks and failed by 16 marks. Sunita scored 40% marks and obtained 56 marks more than those required to pass. Find the minimum marks required to pass.

Select the correct answer

316

264

394

910

Correct Answer is: B

Solution:

Q. 133. If the given number 925x85 is divisible by 11, then the smallest value of x is

Select the correct answer

Correct Answer is: D

Solution:

Q. 134. Two cars A and B leave Delhi at 8:30 am and at 9 am for Shimla, respectively. They travel at the speeds of 40 km/h and 50 km/h, respectively. How many kilometers away from Delhi will the two cars be together?

Select the correct answer

45 km

100 km

200 km

5 km

Correct Answer is: B

Solution:

Q. 135.

What is the value of sin30^° + cos30^° - tan 45^° ?

Select the correct answer

Correct Answer is: A

Solution:

Q. 136.

While selling an article of marked price Rs. 5040 at a discount of 40%, if a trader gains 20%, then the profit (in Rs) is

Select the correct answer

Rs. 642

Rs. 504

Rs. 720

Rs. 2520

Correct Answer is: B

Solution:

Q. 137. By selling 18 table fans for Rs. 11664 a man incurs a loss of 10%. How many fans should he sell for Rs. 17424 to earn 10% profit?

Select the correct answer

Correct Answer is: B

Solution:

Q. 138.

Select the correct answer

5/13

12/13

5/12

12/5

Correct Answer is: A

Solution:

Q. 139.

In the givne figure, MP is tangent to a circle with centre A and NQ is a tangent to a circle with centre B. If MP = 15 cm, NQ = 8 cm, PA = 17 cm and BQ = 10 cm, then AB is

Select the correct answer

28 cm

14 cm

13.5 cm

23 cm

Correct Answer is: B

Solution:

Q. 140.

In the given figure, the measure of angle BAC is

Select the correct answer

56^°

62^°

58^°

48^°

Correct Answer is: D

Solution:

Q. 141.

The simple interest on a sum of Rs.50000 at the end of two years is Rs. 4000. What would be the compound interest on the same sum at the same rate for the same period?

Select the correct answer

Rs. 4040

Rs. 4080

Rs. 4008

Rs. 8000

Correct Answer is: B

Solution:

Q. 142.

If 1 - 64x³ - 12x + px² = (1 - 4x)³, then the value of p is

Select the correct answer

-12

-48

Correct Answer is: A

Solution:

Q. 143.

In the figure, if angle A = 100^°, then angle C = ?

Select the correct answer

50^°

90^°

80^°

100^°

Correct Answer is: C

Solution:

Q. 144.

The value of 151² - 149² is

Select the correct answer

600

300

400

Correct Answer is: A

Solution:

Q. 145.

In the given figure, triangle ABC is an isosceles triangle, in which AB = AC, AD perpendicular to BC, BC = 6 cm and AD = 4 cm. The length of AB is

Select the correct answer

7 cm

6 cm

5 cm

4 cm

Correct Answer is: C

Solution:

Q. 146.

The area of the four walls of a room having length 6 m, breadth 4 m and height 4 m, is

Select the correct answer

50 m²

60 m²

40 m²

80 m²

Correct Answer is: D

Solution:

Q. 147. If A : B = 3 : 5, and B : C = 2 : 3, then A : B : C is equal to

Select the correct answer

3 : 8 : 6

3 : 7 : 3

6 : 10 : 15

6 : 15 : 10

Correct Answer is: C

Solution:

Q. 148.

Study the givne table carefully and answer the question that follows.

The percentage of students who have passed with distinction in the year 2012, is

25%

20%

22%

27%

Correct Answer is: A

Solution:

Q. 149. The average of five consecutive odd numbers is m. If the next three odd numbers are also included, then what is the increase in the average?

Select the correct answer

Correct Answer is: A

Solution:

Q. 150.

In a particular year, the number of student s enrolled in different streams in a college is as follows.

The percentage of girls students is

46%

50%

135%

54%

Correct Answer is: D

Solution:

Q. 151.

In the given figure, if angle KLN = 58^°, then angle KMN = ?

Select the correct answer

42^°

32^°

58^°

26^°

Correct Answer is: C

Solution:

Q. 152.

If x - 1/x = 11, then x³ - 1/x³ is

Select the correct answer

1474

1188

1364

1298

Correct Answer is: C

Solution:

Q. 153.

The distance between two stations, A and B, is 428 km. A train starts from station A at 6:00 a.m. and moves towards station B at an average speed of 48 km/h. Another train starts from station B at 6:20 a.m. and moves towards station A at an average speed of 55 km/h. At what time will the trains meet?

Select the correct answer

10:00 am

10:40 am

9:40 am

10:20 am

Correct Answer is: D

Solution:

Q. 154. A certain amount is divided among Sunita, Amit and Vibha in the ratio of 2 : 3 : 4. If Vibha gets Rs. 14416, then the total amount is

Select the correct answer

Rs. 16219

Rs. 32436

Rs. 3604

Rs. 43248

Correct Answer is: B

Solution:

Q. 155.

(a + b+ c - d)² - (a - b - c + d)² = ?

Select the correct answer

2a(b + c + d)

4a(b + c - d)

2a(b + c - d)

4a(b + c + d)

Correct Answer is: B

Solution:

Q. 156.

In the given figure, if DE parallel to BC, AD = 2.5 cm, DB = 3.5 cm and EC = 4.2 cm, then the measure of AC is

Select the correct answer

7.2 cm

3.2 cm

7.4 cm

3 cm

Correct Answer is: A

Solution:

Q. 157.

The following table shows the number of students enrolled in different faculties in a college.

The percentage of students studying in faculties other than Science is

80%

60%

20%

75%

Correct Answer is: A

Solution:

Q. 158.

The perimeter of a square is 64 cm. Its area will be

Select the correct answer

128 cm²

256 cm²

32 cm²

8 cm²

Correct Answer is: B

Solution:

Q. 159.

If angles of a triangle are in the ratio of 2 : 3 : 4, then the measure of the smallest angle is

Select the correct answer

20^°

30^°

40^°

50^°

Correct Answer is: C

Solution:

Q. 160.

The following table shows the income (in Rs) for a particular month, together with their source, in respect of 5 employees (A, B, C, D and E).

How many employees got more arrears than the average arrears received by all the employees?

Correct Answer is: B

Solution:

Q. 161.

The value of -1 + 1/4 $\div$ 1/2 x 2 + 5 is

Select the correct answer

17/4

-7/2

Correct Answer is: A

Solution:

Q. 162. Sixteen men can finish a work in 8 days. Eight men and nine women working together can finish the same work in 10 days. In how many days will twenty women finish the same work?

Select the correct answer

Correct Answer is: A

Solution:

Q. 163.

Select the correct answer

Correct Answer is: C

Solution:

Q. 164.

The value of cos0^° cos30^° cos45^° cos60^° cos90^° is

Select the correct answer

Correct Answer is: C

Solution:

Q. 165. The greatest number which should be replace '*' in the number 146*48 to make it divisible by 8 is

Select the correct answer

Correct Answer is: D

Solution:

Q. 166. A certain amount of money at compound interest grows to Rs. 66550 in 3 yr and Rs. 73205 in 4 yr. The rate per cent per annum is

Select the correct answer

10%

11%

Correct Answer is: A

Solution:

Q. 167.

The heights of some girls in a school were noted and the date obtained are as shown in the table.

How many girls have a height of 135 cm or more but less than 150 cm?

Correct Answer is: C

Solution:

Q. 168.

Select the correct answer

Correct Answer is: B

Solution:

Q. 169. The average height of 5 boys is 175 cm. A sixth boy joined the group and the average height of all increased by 1 cm. The height of the sixth boy is

Select the correct answer

180 cm

181 cm

179 cm

175 cm

Correct Answer is: B

Solution:

Q. 170. The following table shows the monthly salaries (in Rs) of 50 families.

How many families have a monthly salary less than Rs. 40000?

Correct Answer is: D

Solution:

Q. 171.

The coefficient of x² in (2x + y)³ is

Select the correct answer

12y²

12y

Correct Answer is: B

Solution:

Q. 172. The price of sugar is increased by 20%. What percentage must one cut down on the consumption of sugar, so that no extra amount has to be incurred on sugar?

Select the correct answer

16 2/3%

20%

83 1/3%

80%

Correct Answer is: A

Solution:

Q. 173.

In the figure, two circles with centres P and Q touch extremely at R. Tangents AT and BT meet the common tangent TR at T. If AP = 6 cm and PT = 10 cm, then BT = ?

Select the correct answer

8 cm

10 cm

6 cm

12 cm

Correct Answer is: A

Solution:

Q. 174. A furniture shopkeeper allows a discount of 16% on the marked price on the goods to his customers and still gains 20%. What is the marked price of a dining table, which costs the shopkeeper Rs. 11900?

Select the correct answer

Rs. 12376

Rs. 15000

Rs. 17000

Rs. 16000

Correct Answer is: C

Solution:

Q. 175. Sudhir purchased a laptop for Rs. 42000 and a scanner-cum-printer for Rs. 8000. He sold the laptop for 10% profit and the scanner-cum-printer for a 5% profit. What is his profit percentage?

Select the correct answer

7 1/2%

9 1/5%

15%

9 2/5%

Correct Answer is: B

Solution:

Q. 176. In a wallet, there are notes of the denominations Rs. 10 and Rs. 50. The total number of notes is 12. the number of Rs. 10 and Rs. 50 notes are in the ratio of 1 : 2. Total money in the wallet is

Select the correct answer

Rs. 440

Rs. 280

Rs. 360

Rs. 110

Correct Answer is: A

Solution:

Q. 177. The following table shows the income (in Rs) for a particular month, together with their source, in respect of 5 employees (A,B,C,D and E.)

How many employees got more than a total Rs. 10000 as income other than salary?

Correct Answer is: A

Solution:

Q. 178. 24 students collected money for donation. The average contribution was Rs. 50. Later on, their teacher also contributed some money. Now, the average contribution is Rs. 56. The teacher's contribution is

Select the correct answer

Rs. 106

Rs. 56

Rs. 200

Rs. 194

Correct Answer is: C

Solution:

Q. 179.

The length of the diagonals of a rhombus are 16 cm and 12 m. Its are is

Select the correct answer

28 cm²

69 cm²

48 cm²

96 cm²

Correct Answer is: D

Solution:

Q. 180.

Select the correct answer

$2\sqrt{2}$

Correct Answer is: A

Solution:

Q. 181. The number of students enrolled in different streams in a college is shown in the following table.

The ratio of the total number of boys to that of girls in the college is

13 : 12

23 : 27

27 : 23

1 : 1

Correct Answer is: C

Solution:

Q. 182.

In the given figure, if angle APO = 35^°, then which of the following options is correct?

Select the correct answer

Angle BPO = 55^°

Angle APB = 60^°

Angle BPO= 35^°

Angle APB = 80^°

Correct Answer is: C

Solution:

Q. 183. Two cyclists X and Y start at the same time from place A and go towards place B at a speed of 6 km/h and 8 km/h, respectively. Despite stopping for 15 min during the journey, Y reaches 10 min earlier than X. The distance between the places A and B is

Select the correct answer

6 km

16.5 km

10 km

8 km

Correct Answer is: C

Solution:

Q. 184. During a medical check-up, the heights of 40 students in a class were recorded as shown in the following table.

How many students have a height of 165 cm or more?

Correct Answer is: A

Solution:

Q. 185. solve the following

113 x 87 = ?

Select the correct answer

10000

10026

9831

10169

Correct Answer is: C

Solution:

Q. 186.

If a + 1/a = 5, then a³ + 1/a³ is

Select the correct answer

140

110

Correct Answer is: D

Solution:

Q. 187. In the given figure, If AB = 10 cm, CD = 7 cm, SD = 4 cm and AS = 5 cm, then BC = ?

Select the correct answer

8 cm

7.5 cm

9 cm

6 cm

Correct Answer is: A

Solution:

Q. 188. Amit and Sunil together can complete a work in 9 days, Sunil and Dinesh together can complete the same work in 12 days, and Amit and Dinesh together can complete the same work in 18 days. In how many days will they complete the work if Amit, Sunil and Dinesh work together?

Select the correct answer

16 days

8 days

12 days

14 days

Correct Answer is: B

Solution:

Q. 189. In a school, 4 % of the students did not appear for the annual exams. 10% of the students who appeared for the exams could not pass the exam. Out of the remaining students, 50% got distinction marks and 432 students passed the exam but could not get distinction marks. The total number of students in the school is

Select the correct answer

878

1200

1000

960

Correct Answer is: B

Solution:

Q. 190.

In the given figure, if Ab = 8 cm, AC = 10 cm, angle ABD = 90^° and AD = 17 cm, then the measure of CD is

Select the correct answer

10 cm

11 cm

9 cm

8 cm

Correct Answer is: C

Solution:

Q. 191. Amit borrowed a sum of Rs. 25000 on simple interest. Bhola borrowed the same amount on compound interest(interest compounded yearly). At the end of 2 yr, Bhola had to pay Rs. 160 more interest than Amit. The rate of interest charged per annum is

Select the correct answer

16/25%

8/25%

3 1/8%

Correct Answer is: B

Solution:

Q. 192. In a triangle, if the measure of two sides are 5 cm and 8 cm, then the third side can be

Select the correct answer

2 cm

3 cm

4 cm

14 cm

Correct Answer is: C

Solution:

Q. 193.

The coefficient of x in (x - 3y)² is

Select the correct answer

-3y²

27y²

-27y²

3y²

Correct Answer is: B

Solution:

Q. 194.

Select the correct answer

60^°

45^°

90^°

30°

Correct Answer is: B

Solution:

Q. 195.

Solve the following

4/3 $\div$ 1/6 x 2 - 1 = ?

Select the correct answer

-2

Correct Answer is: D

Solution:

Q. 196. A manufacturer sells cooking gas stoves to shopkeepers at 10% profit, and in turn they sell the cooking gas stoves to customer to earn 15% profit. If a customer gets a cooking gas stove for Rs. 7590, then what is its manufacturing cost?

Select the correct answer

Rs. 5000

Rs. 6000

Rs. 5090

Rs. 6500

Correct Answer is: B

Solution:

Q. 197. A shopkeeper marked a computer table for Rs. 7200. He allows a discount of 10% on it and yet makes profit of 8%. What will be his gain percentage, if he does not allow any discount?

Select the correct answer

20%

18%

Correct Answer is: C

Solution:

Q. 198.

solve the following

sin0^° sin30^° sin45^° sin60^° sin90^° = ?

Select the correct answer

1/2

Correct Answer is: B

Solution:

Q. 199. The following table shows the daily earnings of 45 skilled workers.

How many workers earn less than Rs. 1100 in a day?

Correct Answer is: C

Solution:

Q. 200. The largest number which should replace * in the number 2365*4 to make the number divisible by 4 is

Select the correct answer

Correct Answer is: D

Solution:

Q. 201. The average of 60 student's result is 38. If the average of the first 22 students is 36, and that of the last 32 student is 32, then the average result of the remaining students is

Select the correct answer

77.33

65.3

81.9

52.12

Correct Answer is: A

Solution:

Q. 202. The rate of simple interest on a sum of money is 5% p.a. for the first 4 yr, 8% p.a. for the next 3 yr and 10% p.a. for the period beyond 7 yr. If the interest accrued by the sum over a period of 10 yr is Rs. 1850, then the sum is

Select the correct answer

Rs. 1500

Rs. 22750

Rs. 1650

Rs. 2500

Correct Answer is: D

Solution:

Q. 203. A, B and C can individually complete a task in 20 days, 16 day and 30 days, respectively. If A and B started working on the task and they worked for 4 days and left, then the number of days required by C to finish remaining task is

Select the correct answer

16 1/2 days

12 1/2 days

13 days

10 days

Correct Answer is: A

Solution:

Q. 204. A shopkeeper fixes the price of an article in such a way that after allowing 32% discount, he wants a gain of 14%. If the marked price is Rs. 342, then the cost price of the article is

Select the correct answer

Rs. 204

Rs. 218

Rs. 212

Rs. 196

Correct Answer is: A

Solution:

Q. 205. The following table gives the details of five commodities A,B,C,D and E with quantity required and their costs for a family in a month. Study the table and answer the question that follow.

The ratio of the total amount spent on A and D commodities in the year 2019 is

3 : 8

15 : 17

6 : 17

1 : 1

Correct Answer is: C

Solution:

Q. 206. In a triangle ABC, DE is parallel to BC, AD = a, DB = a + 4, AE = 2a + 3, EC = 7a. What is the value of 'a', if a > 0?

Select the correct answer

Correct Answer is: A

Solution:

Q. 207. The following table gives the details of five commodities A,B,C,D and E with quantity required and their costs for a family in a month. Study the table and answer the question that follow.

The percentage of increase (per kg) in the rate of Commodity D from 2016 to 2019 is

38.24%

13.33%

22.17%

Correct Answer is: C

Solution:

Q. 208. Two circles of radii 8 cm and 6 cm touch each other externally. The length of the direct common tangent is

Select the correct answer

13.86

10.12

Correct Answer is: A

Solution:

Q. 209. The following table gives the details of five commodities A,B,C,D and E with quantity required and their costs for a family in a month. Study the table and answer the question that follow.

The amount spent extra on commodities B and C in the year 2019 as compared to that in the year 2016, is

Rs. 260

Rs. 192

Rs. 248

Rs. 110

Correct Answer is: A

Solution:

Q. 210. An article was sold at a gain of 16%. If it had been sold for Rs. 36 more, the gain would have been 20%. The cost price of the article is

Select the correct answer

Rs. 862

Rs. 900

Rs. 720

Rs. 810

Correct Answer is: B

Solution:

Q. 211. The sum of the squares of 3 natural numbers is 1029, and they are in the proportion 1 : 2 : 4. The difference between greatest number and smallest number is

Select the correct answer

Correct Answer is: A

Solution:

Q. 212. 25 L of a mixture contains 30% of spirit and rest water. If 5 L of water be mixed in it, the percentage of spirit in the new mixture is

Select the correct answer

12 1/2%

33 1/3%

45%

25%

Correct Answer is: D

Solution:

Q. 213. The following table gives the details of five commodities A,B,C,D and E with quantity required and their costs for a family in a month. Study the table and answer the question that follow.

The total amount spent on the five commodities by the family in the year 2019 is

Rs. 6856

Rs. 7248

Rs. 8122

Rs. 5400

Correct Answer is: A

Solution:

Q. 214.

In triangle ABC, if the ratio of angles is in the proportion 3 : 5 : 4, then the difference between the biggest and the smallest angles (in degrees) is

Select the correct answer

35^°

25^°

30^°

20^°

Correct Answer is: C

Solution:

Q. 215.

If a³ + 1/a³ = 52, then the value of 2(a + 1/a) is

Select the correct answer

Correct Answer is: B

Solution:

Q. 216.

Select the correct answer

Correct Answer is: A

Solution:

Q. 217.

The inner and outer radius of a circular track are, respectively, 29 m and 23 m. The cost of leveling the track at Rs. 7/m² is

Select the correct answer

Rs. 3284

Rs. 5300

Rs. 7215

Rs. 6864

Correct Answer is: D

Solution:

Q. 218. What is the smallest integer, that is divisible by 3, 7 and 18?

Select the correct answer

252

126

Correct Answer is: D

Solution:

Q. 219.

If 0 < A, B < 45^°, cos(A + B) = 24/25 and sin(A - B) = 15/17, then tan2A is

Select the correct answer

213/4

416/87

Correct Answer is: D

Solution:

Q. 220.

Select the correct answer

89/127

89/106

141/127

141/106

Correct Answer is: D

Solution:

Q. 221.

Select the correct answer

127/16

127

255/16

255

Correct Answer is: D

Solution:

Q. 222.

A, B, and C are three points on a circle such that the angles subtended by the chords AB and AC at the center O are 80^° and 120^° respectively. The value of angle BAC is

Select the correct answer

75^°

85^°

70^°

80^°

Correct Answer is: D

Solution:

Q. 223. A train crosses platform 180 m long in 60 sec at a speed of 72 km/h. The time taken by the train to cross an electric pole is

Select the correct answer

5.1 sec

51 sec

5.1 min

0.51 min

Correct Answer is: B

Solution:

Q. 224.

Select the correct answer

1/9

1/3

Correct Answer is: C

Solution:

Q. 225.

Select the correct answer

5/29

-65/29

-13/12

Correct Answer is: C

Solution:

Q. 226. If radius of a circle is decreased by 11%, then the total decrease in the area of the circle is given as

Select the correct answer

20.79%

19.50%

20.50%

21%

Correct Answer is: A

Solution:

Q. 227. If 7 divided a positive integer n, the remainder is 2. Which of the following numbers gives a remainder of '0' when divided by 7?

Select the correct answer

n + 2

n + 5

n - 5

n + 1

Correct Answer is: B

Solution:

Q. 228.

Select the correct answer

Correct Answer is: B

Solution:

Q. 229. A contract is to be completed in 75 days and 187 men are to work 15 h per day. After 65 days 3/5 of the work is completed. How many additional men may be employed, so that the work may be completed in time, each man now working 17 h per day?

Select the correct answer

514

532

528

495

Correct Answer is: C

Solution:

Q. 230.

If a² + b² + c² = 300 and ab + bc + ca = 50, then what is the value of a + b + c? (given that a,b, and c are all positive).

Select the correct answer

Correct Answer is: C

Solution:

Q. 231. The perimeter of an isosceles triangle is 50 cm. If the base is 18 cm, then find the length of the equal sides.

Select the correct answer

25 cm

32 cm

18 cm

16 cm

Correct Answer is: D

Solution:

Q. 232. If 18 men can cut a field in 35 days, then in how many days can 21 men cut the same field?

Select the correct answer

Correct Answer is: B

Solution:

Q. 233. A sum lent out compound interest amounts to Rs. 1250 in 1 yr and to Rs. 1458 in 3 yr at a certain rate percentage p.a. What is the simple interest on the same sum for 5 2/5 yr at the same rate of interest?

Select the correct answer

Rs. 520

Rs. 600

Rs. 500

Rs. 480

Correct Answer is: C

Solution:

Q. 234. The two trains leave Varanasi for Lucknow at 11:00 a.m. and at 11:30 a.m. respectively and travel at a speed of 110 km/h and 140 km/h, respectively. How many kilometers from Varanasi will both trains meet?

Select the correct answer

246 1/3 km

238 2/3 km

255 1/3 km

256 2/3 km

Correct Answer is: D

Solution:

Q. 235.

Select the correct answer

1 1/2

1 1/4

3 1/8

3 1/2

Correct Answer is: A

Solution:

Q. 236. The following table shows the age-wise brand ownership of mobile phone handsets.

If a total of 5000 'C' mobile phone sets are sold till date, then how many are more than 1 yr old?

4000

4200

4500

4350

Correct Answer is: C

Solution:

Q. 237.

In quadrilateral PQRS ,RM perpendicular to QS, PN perpendicular to QS and QS = 6 cm. If RM = 3 cm and PN = 2 cm, then the area of PQRS is

Select the correct answer

15 cm²

13 cm²

14 cm²

11 cm²

Correct Answer is: A

Solution:

Q. 238. The cost price of goods, for a shopkeeper, was X. He marked them at 15% above the cost price. Finally, he sold the goods at a discount of 25%. What is his profit/loss percentage?

Select the correct answer

13.5% Profit

13% Loss

12% Profit

13.75% Loss

Correct Answer is: D

Solution:

Q. 239.

Select the correct answer

1/5

5/12

-5

Correct Answer is: A

Solution:

Q. 240. The following table shows the annual profit of a company (In Rs. Lakh).

The period which has the maximum percentage increase in profit over the previous year is

2015-2016

2018-2019

2016-2017

2017-2018

Correct Answer is: A

Solution:

Q. 241. The following table shows the number of employees working in various departments of an organisation from 2016 to 2019.

In which year were the maximum number of employees working in the organisation?

2016

2017

2019

2018

Correct Answer is: C

Solution:

Q. 242. In triangle ABC, D, E and F are the mid-point of sides AB, BC and CA, respectively. If AB = 12 cm, BC = 20 cm and CA = 15 cm, then the value of 1/2(DE + EF + DF) is

Select the correct answer

23.5 cm

11.75 cm

5.88 cm

15.67 cm

Correct Answer is: B

Solution:

Q. 243.

Select the correct answer

Correct Answer is: C

Solution:

Q. 244. Anu spends 68% of her monthly income. If her monthly income increases by 20% and her monthly savings increase by 9 3/8%, then the percentage increase in her monthly expenditure is

Select the correct answer

20%

32%

25%

22%

Correct Answer is: C

Solution:

Q. 245. If the perimeter of a certain rectangle is 50 units and its area is 15 sq units, then how many units is the length of its shorter side?

Select the correct answer

Correct Answer is: C

Solution:

Q. 246. A man buys two watches 'A' and 'B' at a total cost of Rs. 800. He sells both watches at the same selling price, and earns a profit of 18% on watch 'A' and incurs a loss of 22% on watch 'B'. What are the cost prices of the two watches? (two place after decimal).

Select the correct answer

A = Rs. 350.32 and B = Rs. 450.68

A = Rs. 318.37 and B = Rs. 481.63

A = Rs. 220 and B = Rs. 580

A = Rs. 317 and B = Rs. 483

Correct Answer is: B

Solution:

Q. 247. The following table shows the percentage of marks obtained by seven students in six different subjects in an examination.

What are the average marks obtained by all the seven students in physics? (rounded off to two digits after the decimal)

89.14

80.15

75.9

85.12

Correct Answer is: A

Solution:

Q. 248. If in 13 yr fixed sum doubles at simple interest, what will be the interest rate per year? (Correct to two decimal place)

Select the correct answer

7.69%

7.92%

8.69%

7.29%

Correct Answer is: A

Solution:

Q. 249.

AB is the diameter of a circle with center O, The tangent at point C on the circle meets AB produced at Q, If angle CAB = 42^°, then what is the measure of angle CQA?

Select the correct answer

17^°

6^°

5^°

7^°

Correct Answer is: B

Solution:

Q. 250.

If x + y + z = 10 and xy + yz + zx = 15, then find the value of x³ + y³ + z³ - 3xyz.

Select the correct answer

525

575

550

660

Correct Answer is: C

Solution:

Q. 251.

The following table shows the percentage distribution of the population of five states, A, B, C, D and E on the basis of the poverty line and also on the basis of sex.

If the male population above the poverty line for State B is 2.5 million, then what is the total population of State B?

8 2/3 million

8 1/3 million

7 2/3 million

10 5/3 million

Correct Answer is: B

Solution:

Q. 252. A can do a piece of work in 6 days. B can do it in 9 days. With the assistance of C they completed the work in 3 days. In how many days can C alone do the work?

Select the correct answer

Correct Answer is: A

Solution:

Q. 253. The following table shows the items of expenditure of a company (in Rs. lakh per annum), from 2015 to 2019

What is the average amount of interest per year which the company had to pay during this period?

Rs. 35 lakh

Rs. 30.7 lakh

Rs. 34.7 lakh

Rs. 25 lakh

Correct Answer is: C

Solution:

Q. 254. The total number of students in a class is 65. If the total number of girls in the class is 35, then the ratio of the total number of boys to the total number of girls is

Select the correct answer

7 : 6

6 : 7

13 : 7

7 : 13

Correct Answer is: B

Solution:

Q. 255. By what number must the given number be multiplied to increase the number by 25%.

Select the correct answer

3/4

5/4

2/5

Correct Answer is: B

Solution:

Q. 256.

Select the correct answer

Correct Answer is: C

Solution:

Q. 257. In a stream running at 3 km/h, a motorboat goes 12 km upstream and back to the starting point in 60 min. Find the speed of the motorboat in still water. (in km/h)

Select the correct answer

Correct Answer is: C

Solution:

Q. 258. The following table showing the percentage of the total population of a state in different age groups.

Out of every 50000 people, find the approximate number of persons below the age of 35.

26260

26250

25230

25250

Correct Answer is: D

Solution:

Q. 259. In triangle ABC, D is a point on BC such that AD is the bisector of angle A, AB = 11.7 cm, AC = 7.8 cm and BC = 13 cm. What is the length (in cm) of DC?

Select the correct answer

5.6

7.8

5.2

6.5

Correct Answer is: C

Solution:

Q. 260. The average score in Mathematics of 90 students of sections A and B together is 49. The number of students in A was 25% more than that of B and the average score of the students in B was 20% higher than that of the students in A. What is the average score of the students in A?

Select the correct answer

45.5

44.5

Correct Answer is: A

Solution:

Q. 261. A man sold two gifts at Rs. 30 each. On one gift he gained 18% and on the other gift he lost 18%. What is his overall gain/loss (in Rs) ?

Select the correct answer

Loss of Rs. 2.00

Gain of Rs. 2.00

Loss of Rs. 2.50

Gain of Rs. 1.75

Correct Answer is: A

Solution:

Q. 262. In the given figure, a circle inscribed in Triangle PQR touches its sides PQ, QR and RP at points S, T and U, respectively. If PQ = 15 cm, QR = 10 cm, and RP = 12 cm, then find the lengths of PS, QT and RU?

Select the correct answer

PS = 3.5 cm, QT = 6.5 cm and RU = 8.5 cm

PS = 6.5 cm, QT = 8.5 cm and RU = 3.5 cm

PS = 8.5 cm, QT = 3.5 cm and RU = 6.5 cm

PS = 8.5 cm, QT = 6.5 cm and RU = 3.5 cm

Correct Answer is: D

Solution:

Q. 263.

What is the area of triangle whose sides are 3 cm, 5 cm and 4 cm?

Select the correct answer

6 cm²

8 cm²

3 cm²

2 cm²

Correct Answer is: A

Solution:

Q. 264.

Select the correct answer

-1

Correct Answer is: B

Solution:

Q. 265.

Select the correct answer

Correct Answer is: C

Solution:

Q. 266.

Select the correct answer

Correct Answer is: B

Solution:

Q. 267.

25a² - 9 is factored as

Select the correct answer

(5a + 3)(5a - 3)

(5a - 3)²

(25a + 1)(a - 9)

(5a + 1)(5a - 9)

Correct Answer is: A

Solution:

Q. 268.

Find the product of (a + b + 2c) (a² + b² + 4c² - ab - 2bc - 2ca).

Select the correct answer

a³ + b³ + 8c³ - abc

a³ + b³ + 8c³ - 6abc

a³ + b³ + 8c³ - 2abc

a³ + b³ + 6c³ - 6abc

Correct Answer is: B

Solution:

Q. 269.

The length of each equal side of an isosceles triangle is 15 cm and the included angle between those two sides is 90^°. Find the area of the triangle.

Select the correct answer

225/2 cm²

225 cm²

255/2 cm²

125/2 cm²

Correct Answer is: A

Solution:

Q. 270.

Select the correct answer

Correct Answer is: D

Solution:

Q. 271. When two equal amounts are deposited for 5 yr and 3 yr at the rate of 7% and 9% per annum respectively, and the difference of their simple interest is Rs. 475. Then find the deposited amount.

Select the correct answer

Rs. 5937.5

Rs. 5837.5

Rs. 6037.5

Rs. 5992.5

Correct Answer is: A

Solution:

Q. 272.

Find the area and circumference of a circle if the radius is 14 cm. (Take $\pi$ = 22/7)

Select the correct answer

Area = 44 cm²; Circumference = 308 cm

Area = 308 cm²; Circumference = 44 cm

Area = 88 cm²; Circumference = 616 cm

Area = 616 cm²; Circumference = 88 cm

Correct Answer is: D

Solution:

Q. 273. The following table shows the percentage distribution of the population of five states, A, B, C, D and E on the basis of the poverty line and also on the basis of sex.

If the population of males below the poverty line for state C is 3 million, then what is the total population of State C?

23.361 million

24.486 million

26.316 million

25.617 million

Correct Answer is: C

Solution:

Q. 274. Solve the following expression,

5.6 - {2 + 0.6 of(2.1 - 2.6 x 1.12)}

Select the correct answer

4.0871

4.0872

7.7113

7.7112

Correct Answer is: B

Solution:

Q. 275. A trader marks his goods at 60% above the cost price and allows a discount of 25%. What is his gain percents?

Select the correct answer

30%

25%

20%

40%

Correct Answer is: C

Solution:

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