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Q. 1. The difference between the compound interest and simple interest on Rs. x at 8.5% per annum for 2 yr is Rs. 28.90. The value of x is

Select the correct answer

Rs. 3500

Rs. 3800

Rs. 4000

Rs. 4500

Correct Answer is: C

Solution:

Q. 2.

then find the value of

Select the correct answer

$-\frac{1}{20}$

$\frac{4}{19}$

$\frac{1}{20}$

$\frac{1}{15}$

Correct Answer is: D

Solution:

Q. 3.

The following table indicates the number fo students studying in three disciplines in five colleges.

What is the ratio of the total number of students studying in the science stream to that of studying in commerce stream in all five colleges taken together?

16 : 15

16 : 19

14 : 15

19 : 15

Correct Answer is: A

Solution:

Q. 4.

The following table indicates the number fo students studying in three disciplines in five colleges.

What percentage of total students are studying in the commerce stream in all five colleges together?

28%

30%

32%

33%

Correct Answer is: B

Solution:

Q. 5. if a : b = 5 : 3, then (8a - 5b) : (8a + 5b) is equal to

Select the correct answer

3 : 13

2 : 5

3 : 11

5 : 11

Correct Answer is: D

Solution:

Q. 6. The average marks of 45 students was found to be 66. If the marks of two students were incorrectly entered as 28 and 64 instead of 82 and 46 respectively, then what is the correct average?

Select the correct answer

67.2

66.8

66.4

66.6

Correct Answer is: B

Solution:

Q. 7.

If , then is equal to

Select the correct answer

Correct Answer is: B

Solution:

Q. 8. The price of sugar is increased by 22%. A person wants to increse his expenditure by 12% only. By what per cent should he decrease his consumption, nearest to one decimal place?

Select the correct answer

10%

7.80%

8.20%

8.60%

Correct Answer is: C

Solution:

Q. 9. An article is sold for Rs. 657.90 after successive discounts of 15% and 10%. What is the marked price of the article?

Select the correct answer

Rs. 920

Rs. 860

Rs. 900

Rs. 880

Correct Answer is: B

Solution:

Q. 10.

The radii of two circular faces of the frustum of a cone of height 21 cm are 3 cm and 2 cm respectively. What is the volume of the frustum of the cone in cm? ( MathML (base64):PG1hdGg+CiAgICA8bWkgbWF0aHNpemU9IjE1Ij4mI3gzQzA7PC9taT4KPC9tYXRoPg== = ) ?

Select the correct answer

154

286

345

418

Correct Answer is: D

Solution:

Q. 11. The value of

2.8 + (5.2 ? 1.3 x 2) - 6 x 3 ? 8 + 2

Select the correct answer

6.45

4.55

8.45

10.55

Correct Answer is: D

Solution:

Q. 12.

The value of sec² 28° - cot² 62^° + sin² 60^° + cosec² 30^° is equal to

Select the correct answer

$\frac{4}{23}$

$\frac{19}{4}$

$\frac{23}{4}$

Correct Answer is: D

Solution:

Q. 13. Two articles are sold for Rs. 10005 each. On one, the seller gains 15% and on the other, he loses 13%. What is his overall gain or loss per cent, correct to two different decimal places?

Select the correct answer

1.42% gain

1.42% loss

0.94% loss

0.94% gain

Correct Answer is: C

Solution:

Q. 14.

In triangle ABC, AD is a median and P is a point on AD such that AP : PD = 3 : 4. Then area of $\Delta$ APB : area of $\Delta$ ABC is equal to

Select the correct answer

2 : 7

3 : 4

3 : 7

3 : 14

Correct Answer is: D

Solution:

Q. 15.

If a + b + c = 8 and ab + bc + ca = 12, then a³ + b³ + c³ - 3abc is equal to

Select the correct answer

192

224

144

400

Correct Answer is: B

Solution:

Q. 16.

The following table indicates the number fo students studying in three disciplines in five colleges.

If a pie chart is drawn representing the number of students in all five colleges, what is the central angle (correct to the nearest whole number) of the sector representing the students of College B?

80^°

82^°

84^°

86^°

Correct Answer is: D

Solution:

Q. 17. Chords AB and CD of a circle, when produced, meet at a point P outside the circle. If AB = 6 cm, CD = 3 cm and PD = 5 cm, then PB is equal to

Select the correct answer

6 cm

6.25 cm

5 cm

4 cm

Correct Answer is: D

Solution:

Q. 18. A is 40% more efficient than B and C is 20% less efficient than B. Working together, they can finish a task in 15 days. In how many days, will B alone complete 75% of the task?

Select the correct answer

Correct Answer is: A

Solution:

Q. 19.

In a circle with center O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If angle BAC = 25^°, then angle CAD is equal to

Select the correct answer

45^°

65°

40°

25°

Correct Answer is: C

Solution:

Q. 20.

If tan4 $\theta$ =cot(2 $\theta$ +30^°), then $\theta$ is equal to.

Select the correct answer

15°

10°

20°

25°

Correct Answer is: B

Solution:

Q. 21.

If a + b = 5 and ab = 3, then (a³ + b³) is equal to

Select the correct answer

Correct Answer is: C

Solution:

Q. 22. What is the least value of x such that 517x324 is divisible by 12?

Select the correct answer

Correct Answer is: D

Solution:

Q. 23. A train without stoppage travels with an average speed of 65 km/h and with stoppage, it travels with an average speed of 52 km/h. For how many minutes does the train stop on an average per hour?

Select the correct answer

Correct Answer is: C

Solution:

Q. 24.

The following table indicates the number fo students studying in three disciplines in five colleges.

What percentage of students in College B is studying in the science stream, (correct to one decimal place)?

29.40%

29.20%

29.60%

29.80%

Correct Answer is: B

Solution:

Q. 25.

$\Delta$ ABC ~ $\Delta$ QRP and PQ = 6 cm, QR = 8 cm and PR = 10 cm. If area of $\Delta$ ABC : area of $\Delta$ PQR = 1 : 4, then AB is equal to

Select the correct answer

2 cm

5 cm

3 cm

4 cm

Correct Answer is: D

Solution:

Q. 26.

The value of sin² 48^° + sin² 42° - sec² 30° + tan² 60° is equal to

Select the correct answer

$\frac{8}{3}$

$\frac{7}{3}$

$\frac{5}{3}$

Correct Answer is: A

Solution:

Q. 27. If a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to

Select the correct answer

15 : 24 : 28

5 : 6 : 8

15 : 24 : 32

5 : 8 : 6

Correct Answer is: C

Solution:

Q. 28.

The value of 5.8 + (7.4 $\div$ 3.7 x 5) - 6 x 2 $\div$ 2.5

Select the correct answer

Correct Answer is: B

Solution:

Q. 29. A train without stoppage travels with an average speed of 80 km/h and with stoppage, it travels with an average speed of 72 km/h. For how many minutes does the train stop on an average per hour?

Select the correct answer

Correct Answer is: B

Solution:

Q. 30. The difference between the compound interest and simple interest on Rs. x at 12% per annum for 2 yr is Rs. 18. What is the value of x?

Select the correct answer

1250

1280

1340

1300

Correct Answer is: A

Solution:

Q. 31. The price of sugar is increasing by 21%. A person wants to increse expenditure by 12% only. By what percent, correct to one decimal place, should he reduce his consumption?

Select the correct answer

7.40%

7.20%

7.60%

7.80%

Correct Answer is: A

Solution:

Q. 32.

$\Delta$ ABC ~ $\Delta$ QPR and AB = 8 cm, BC = 12 cm and AC = 6 cm. If area $\Delta$ ABC): area $\Delta$ PQR) = 16 : 25, then RQ is equal to

Select the correct answer

12.5 cm

10 cm

15 cm

7.5 cm

Correct Answer is: D

Solution:

Q. 33.

This table shows the number of students studying in various streams in different colleges.

The number of students in the science stream of College C is approximately what percentage of students studying in that college?

42%

43%

44%

45%

Correct Answer is: D

Solution:

Q. 34. In a class of 50 students, 46% are girls and the remaining are boys. The average of the boys marks is 58 and that of the girls is 62. What are the average marks of the whole class?

Select the correct answer

59.84

60.65

60.38

60.12

Correct Answer is: A

Solution:

Q. 35. In triangle ABC, P is a point on BC such that BP : PC = 1 : 2 and Q is the mid-point of BP. Then, ar(angle ABQ) : ar(angle ABC) is equal to

Select the correct answer

1 : 3

1 : 6

1 : 4

1 : 5

Correct Answer is: B

Solution:

Q. 36.

Select the correct answer

121/65

118/65

23/13

124/65

Correct Answer is: A

Solution:

Q. 37.

The radii of the two circular faces of the frustum of a cone height 14 cm are 5 cm and 2 cm. What is its volume in cm³? ( $\pi$ = 22/7)

Select the correct answer

572

560

520

540

Correct Answer is: A

Solution:

Q. 38. A is 50% more efficient than B and C is 40% less efficient than B. Working together, they can complete a task in 10 days. In how many days will A alone complete 150% of that task?

Select the correct answer

Correct Answer is: D

Solution:

Q. 39.

If a + b = 8 and ab = 32/3, then (a³ + b³) is equal to

Select the correct answer

256

128

320

384

Correct Answer is: A

Solution:

Q. 40. Two articles are sold for Rs. 2508 each. On one, there is a gain of 14% and on the other, there is a loss of 12%. What is the overall gain or loss per cent to nearest one decimal place?

Select the correct answer

0.7% gain

0.7% loss

0.5% gain

0.5% loss

Correct Answer is: B

Solution:

Q. 41.

If sin5 $\theta$ =cos(50^°-3 $\theta$ ), then $\theta$ is equal to.

Select the correct answer

20^°

25^°

30^°

15^°

Correct Answer is: A

Solution:

Q. 42.

Select the correct answer

140

130

120

110

Correct Answer is: D

Solution:

Q. 43.

If a + b + c = 4 and ab + bc + ca = 2, then a³ + b³ + c³ - 3abc is equal to

Select the correct answer

Correct Answer is: D

Solution:

Q. 44.

This table shows the number of students studying in various streams in different colleges.

What is the ratio of the number of students studying science in Colleges A and B together to the number of students studying Commerce in Colleges D and E together?

21 : 17

23 : 15

13 : 8

26 : 17

Correct Answer is: D

Solution:

Q. 45. Two chords AB and CD of a circle intersect at a point P inside the circle. If AB = 7 cm, PC = 2 cm and AP = 4 cm, then CD is equal to

Select the correct answer

6 cm

8 cm

4 cm

5 cm

Correct Answer is: B

Solution:

Q. 46.

This table shows the number of students studying in various streams in different colleges.

What is the average of the number of students in the arts streammm in all the colleges taken together?

450

470

440

460

Correct Answer is: C

Solution:

Q. 47.

In a circle with center O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If $\angle$ BAC = 24^°, then $\angle$ CAD is equal to

Select the correct answer

24^°

42^°

36^°

48^°

Correct Answer is: B

Solution:

Q. 48.

This table shows the number of students studying in various streams in different colleges.

If the data about students of the Commerce stream in all colleges is represented by a pie-chart, what is the central angle of the sector representing College D, to the nearest degree?

80^°

82^°

88^°

85^°

Correct Answer is: D

Solution:

Q. 49. For what value of x is the seven digit number 46393x8 divisible by 11?

Select the correct answer

Correct Answer is: B

Solution:

Q. 50. An article is sold for Rs. 535.50 after two successive discounts of 25% and 15%. What is the marked price of the article?

Select the correct answer

Rs. 800

Rs. 830

Rs. 820

Rs. 840

Correct Answer is: D

Solution:

Q. 51. A person sold an article at a loss of 8%. Had he sold it at a gain of 10.5%, he would have recived Rs. 92.50 more. To gain 12%, he should have sold it for.

Select the correct answer

Rs. 540.50

Rs. 560

Rs. 580

Rs. 537.40

Correct Answer is: B

Solution:

Q. 52. A sum of Rs. 15000 is lent at 16% p.a. compound interest. What is the difference between the compound interest for the second year and the third year?

Select the correct answer

Rs. 544

Rs. 445.44

Rs. 454.88

Rs. 548

Correct Answer is: B

Solution:

Q. 53.

The value of (5 + 3 $\div$ 5 x 5) (3 $\div$ 3 of 6) of (4 x 4 $\div$ 4 of 4 + 4 $\div$ 4 x 4) is

Select the correct answer

8 $\frac{1}{5}$

7 $\frac{1}{3}$

9 $\frac{3}{5}$

6 $\frac{2}{3}$

Correct Answer is: C

Solution:

Q. 54. The average of thirteen numbers is 80. The average of the first five numbers is 74.5 and that of the next five numbers is 82.5. The 11th number is 6 more than the 12th number and the 12th number is 6 less than the 13th number. What is the average of the 11th and the 13th numbers ?

Select the correct answer

86.5

87.5

Correct Answer is: A

Solution:

Q. 55. A shopkeeper marks his goods at 40% more than their cost price and allows a discount of 25% on the marked price. His gain or loss per cent is

Select the correct answer

5% loss

15% gain

10% loss

5% gain

Correct Answer is: D

Solution:

Q. 56.

If ab + bc + ca = 8 and a² + b² + c² = 20, then possible value of 1/2(a + b + c)[(a - b)² + (b - c)² + (c - a)²] is

Select the correct answer

Correct Answer is: A

Solution:

Q. 57.

$\frac{sin\theta -cos\theta +1}{sin\theta +cos\theta -1}=?$

Select the correct answer

sec $\theta$ sin $\theta$

sec $\theta$ tan $\theta$

sec $\theta$ +tan $\theta$

sec $\theta$ -tan $\theta$

Correct Answer is: C

Solution:

Q. 58. The income of A is 50% more than that of B. If the income of A is increased by 40% and the income of B is increased by 90%, then the percentage increase in their combined income will be

Select the correct answer

Correct Answer is: C

Solution:

Q. 59. A circle is inscribed in triangle ABC, touching AB at P, BC at Q and AC at R. If AR = 5 cm, RC = 6 cm and AB = 12 cm, then the perimeter of triangle ABC is

Select the correct answer

40 cm

32 cm

37 cm

36 cm

Correct Answer is: D

Solution:

Q. 60.

If (8x³ - 27y³) $\div$ (2x - 3y) = (Ax² + Bxy + Cy²), then the value of (2A + B - C) is

Select the correct answer

Correct Answer is: C

Solution:

Q. 61. If the 8-digit number 2074x4y2 is divisible by 88, then the value of (4x + 3y) is

Select the correct answer

Correct Answer is: D

Solution:

Q. 62.

Pipes A and B can fill a tank in one hour and two hour respectively while pipe C can empty the filled up tank in 1 h and 15 min. A and C are turned on together at 9 am. After 2 h, only A is closed and B is turned on. When will the tank be emptied?

Select the correct answer

12 : 10 pm

11 : 30 am

10 : 30 am

12 : 20 pm

Correct Answer is: D

Solution:

Q. 63.

ABCD is a cyclic quadrilateral whose diagonals intersect at P. If AB = BC, $\angle$ DBC = 70^° and angle BAC = 30^°, then the measure of $\angle$ PCD is

Select the correct answer

35^°

50^°

55^°

30^°

Correct Answer is: B

Solution:

Q. 64.

The table shows the production of different types of cars by a company (in thousands) in 5 yr.

If the data related to the production of cars in 2018 is represented by pie chart, then the central angle of the sector representing the production of type C cars will be

72^°

59^°

93^°

91^°

Correct Answer is: A

Solution:

Q. 65. When x is substracted from each of 21, 22, 60 and 64, the number so obained, in this order, are in proportion. What is the mean proportional between (x + 1) and (7x + 8)?

Select the correct answer

Correct Answer is: C

Solution:

Q. 66.

The table shows the production of different types of cars by a company (in thousands) in 5 yr.

The average production of type D cars in 5 yr is what percent less than the production of type E cars in 2018? (Correct to one decimal place)

18.6

16.8

15.9

17.4

Correct Answer is: A

Solution:

Q. 67. The table shows the production of different types of cars by a company (in thousands) in 5 yr.

The total production of type B cars in all the five years is what percent more than the total production of type A, B and D cars in 2017?

49.5

47.5

57.3

32.2

Correct Answer is: B

Solution:

Q. 68.

G is the centroid of the triangle ABC, where AB, BC and CA are 7 cm, 24 cm and 25 cm respectively, then BG is

Select the correct answer

6 $\frac{1}{3}$ cm

8 $\frac{1}{3}$ cm

5 $\frac{1}{2}$ cm

4 $\frac{1}{6}$ cm

Correct Answer is: B

Solution:

Q. 69.

if x = a + $\frac{1}{a}$ and y = a - $\frac{1}{a}$ , then find the value of $\sqrt{x^4+y^4-2x^2y^2}$

Select the correct answer

Correct Answer is: D

Solution:

Q. 70.

The volume of a metallic cylindrical pipe is 7480 cm³. If its length is 1.4 m and its external radius is 9 cm, then its thickness (given $\pi$ = 22/7) is

Select the correct answer

1 cm

0.8 cm

0.9 cm

1.2 cm

Correct Answer is: A

Solution:

Q. 71.

If $\sqrt{sec^2\theta+cosec^2\theta }\times \sqrt{tan^2\theta -sin^2\theta }$ is equal to

Select the correct answer

$cosec\theta\sec^2\theta$

$sin\theta\sec^2\theta$

$sin\theta\ cosec^2\theta$

$cosec\theta cos^2\theta$

Correct Answer is: B

Solution:

Q. 72.

ABCD is trapezium in which AB $\left | \right |$ DC and its diagonals intersect at P. If AP = (3x - 1) cm. PC = (5x - 3) cm, BP = (2x + 1) cm and PD = (6x - 5) cm, then the length of DB is

Select the correct answer

14 cm

12 cm

10 cm

16 cm

Correct Answer is: B

Solution:

Q. 73.

Select the correct answer

Correct Answer is: A

Solution:

Q. 74.

A and B are travelling towards each other from the points P and Q respectively. After crossing each other, A and B take 6 $\frac{1}{8}$ h and 8 h, respectively, to reach their destinations Q and P, respectively. If the speed Of B is 16.8 km/h, then the speed (in km/h) of A is

Select the correct answer

20.8

19.8

19.2

20.4

Correct Answer is: C

Solution:

Q. 75. The table shows the production of different types of cars by a company (in thousands) in 5 yr.

What is the ratio of the total production of Type C car in 2015 and Type D cars in 2017 taken together to the total production of Type B cars in 2016 and Type A cars in 2017 taken together?

12 : 11

13 : 10

11 : 9

4 : 3

Correct Answer is: D

Solution:

Q. 76. A sum of Rs.x was borrowed and paid back in two equal yearly installments, each of Rs. 35280. If the rate of interest was 5%, compounded annually, then the value of x is

Select the correct answer

Rs. 64400

Rs. 65600

Rs. 64800

Rs. 65400

Correct Answer is: B

Solution:

Q. 77.

In triangle ABC, angle A is a right angle. The lengths of AC and BC are 6 cm and 10 cm respectively. Point D is on AB such that BD = 4 cm. What is the length of CD?

Select the correct answer

Correct Answer is: A

Solution:

Q. 78.

ABCD is a quadrilateral whose side AB is the diameter of a circle through A, B, C and D. If $\angle$ ADC = 130^°, then the measure of $\angle$ BAC is

Select the correct answer

40^°

45^°

35^°

50^°

Correct Answer is: A

Solution:

Q. 79. In triangle ABC, AD bisects angle A which meets BC at D. If BC = a, AC = b and AB = c, then DC = ___ .

Select the correct answer

ab/ b+c

ac/ a+c

bc/ a+c

ac/ a+b

Correct Answer is: A

Solution:

Q. 80.

If 9a² + 4b² + c² + 21 = 4(3a + b - 2c), then the value of (9a + 4b - c) is

Select the correct answer

Correct Answer is: D

Solution:

Q. 81.

Select the correct answer

Correct Answer is: A

Solution:

Q. 82.

The table shows the production of different types of cars (in thousands).

What is the ratio of the total production of type B cars in 2011 and type E cars in 2013 taken together to the total production of type C cars in 2014 and type D cars in 2012 taken together?

8 : 9

6 : 5

5 : 6

16 : 11

Correct Answer is: B

Solution:

Q. 83. A is 20% less than B while C is 20% more than D. If D is 25% less than A, then which of the following is true?

Select the correct answer

B = 0.675 C

C = 0.72 B

B = 0.72 C

C = 0.675 B

Correct Answer is: B

Solution:

Q. 84.

A person can row a distance of 4 km upstream in one hour 20 minutes and can row back to the starting point in just 24 minutes. How much time (in hours) will he take to row 13 km in still water?

Select the correct answer

3.5

2.5

Correct Answer is: A

Solution:

Q. 85. A person sold 25 articles for Rs. 2,500 and incurred a loss of 10%. How many articles should he sell for Rs. 2,400 to make a profit of 20%?

Select the correct answer

Correct Answer is: D

Solution:

Q. 86.

The table shows the production of different types of cars (in thousands).

If the data related to the production of type C cars is represented by a pie-chart, then the central angle of the sector representing production of cars in 2012 will be

72^°

73 $\frac{1}{3}$ ^°

60^°

80^°

Correct Answer is: C

Solution:

Q. 87.

Select the correct answer

Correct Answer is: C

Solution:

Q. 88. In a circle of radius 10 cm and centre O, PQ and PR are two equal chords, each of length 12 cm. What is the length (in cm) of chord QR?

Select the correct answer

18.6

20.4

18.4

19.2

Correct Answer is: D

Solution:

Q. 89. If the 10-digit number 897359y7x2 is divisible by 72, then what is the value of(3x-y), for the possible greatest value of y ?

Select the correct answer

Correct Answer is: C

Solution:

Q. 90. The area of a field in the shape of a triangle with each side x m is equal to the area of another triangular field having sides 50 m, 70 m and 80 m. The value of x is closest to

Select the correct answer

65.5

63.2

62.4

61.8

Correct Answer is: B

Solution:

Q. 91.

Select the correct answer

$\frac{1}{2}$

$\frac{1}{10}$

$\frac{3}{10}$

1.5

Correct Answer is: D

Solution:

Q. 92.

If x² - 3x - 1 = 0, then the value of (x² + 8x - 1)(x³ + x^-1)^-1 is

Select the correct answer

$\frac{3}{8}$

Correct Answer is: C

Solution:

Q. 93.

The table shows the production of different types of cars (in thousands).

The average production of all type of cars in 2014 is approximately what percent less than the total production of type B cars in 2013 and type D cars in 2010 taken together?

41.80%

44.90%

43.20%

44.40%

Correct Answer is: A

Solution:

Q. 94.

To do a certain work, A and B work on alternate days, with B beginning the work on the first day. A can finish the work alone in 48 days. If the work gets completed in 11 $\frac{1}{3}$ days, then B alone can finish 4 times the same work in

Select the correct answer

24 days

32 days

27 days

30 days

Correct Answer is: C

Solution:

Q. 95.

Select the correct answer

Correct Answer is: A

Solution:

Q. 96.

Select the correct answer

Correct Answer is: A

Solution:

Q. 97.

The table shows the production of different types of cars (in thousands).

The total production of type A cars in 2011, and type C cars and type E cars in 2012 taken together is what percent of the total production of type B cars during 2010 to 2014?

60.40%

54.70%

62.50%

58.80%

Correct Answer is: C

Solution:

Q. 98. The total number of students in section A and B of a class is 110. The number of students in section A is 10 more than that of section B. The average score of the students in B, in a test, is 20% more than that of students in A. If the average score of all the students in the class is 72, then what is the average score of the students in A ?

Select the correct answer

Correct Answer is: A

Solution:

Q. 99.

A shopkeeper sells an item for Rs. 492 after allowing 18% discount on its marked price. Had he not allowed any discount, he would have earned a profit of 20% on the cost price. What is the cost price of the item?

Select the correct answer

Rs. 500

Rs. 640

Rs. 540

Rs. 600

Correct Answer is: A

Solution:

Q. 100. The prices of two articles are in the ratio 4 : 5. If the price of the first article is increased by x% and that of the other is decreased by 30%, then the new prices of A and B will be in the ratio 10 : 7. The value of x is

Select the correct answer

24.5

22.5

Correct Answer is: C

Solution:

Q. 101.

The table shows the production of different types of cars (in thousands).

The average production of type A cars during the five years is what percent of the total production of type C cars during the five years?

22.4

20.6

21.8

18.7

Correct Answer is: A

Solution:

Q. 102.

If 4x² - 6x + 1 = 0, then the value of 8x³ + (8x³)^-1 is

Select the correct answer

Correct Answer is: C

Solution:

Q. 103.

The table shows the production of different types of cars (in thousands).

What is the ratio of the total production of type C and D cars in 2012 to the total production of type A cars in 2014 and type E cars in 2015?

5 : 6

9 : 11

3 : 4

11 : 12

Correct Answer is: C

Solution:

Q. 104. The average of 12 numbers is 55.5. The average of the first four numbers is 53.4 and that of the next 4 numbers is 54.6. The 10th number is greater than the 9th number by 3 but lesser than the 11th and 12th numbers by 2 and 3, respectively. What is the average of the 10th and the 12th numbers ?

Select the correct answer

59.5

57.5

Correct Answer is: A

Solution:

Q. 105.

The table shows the production of different types of cars (in thousands).

The total production of Type B cars in 2015 and type D cars 2016 is what percent less than the total production of type E cars in five years?

50 $\frac{1}{3}$

52 $\frac{2}{3}$

46 $\frac{2}{3}$

53 $\frac{1}{3}$

Correct Answer is: D

Solution:

Q. 106. The speed of train A is 25 km/h more than the speed of train B. A takes 4 hours less time to travel a distance of 300 km than what train B takes to travel 250 km. what is the speed (in km/h) of A?

Select the correct answer

Correct Answer is: B

Solution:

Q. 107. A circle touches the side PQ of a triangle APQ at the point R and sides AP and AQ produced at the points B and C, respectively. If the perimeter of triangle APQ = 30 cm, then the length of AB is

Select the correct answer

20 cm

10 cm

12 cm

15 cm

Correct Answer is: D

Solution:

Q. 108. The income of A is 40% more than that of B. If A got a 25% rise in his income and B got a 40% rise in his income, then the percentage increase in the combined incomes of A and B is

Select the correct answer

31.25

34.5

28.25

24.5

Correct Answer is: A

Solution:

Q. 109. A sum of Rs. 12000 amounts to Rs. 20736 in 3 years at a certain rate percent per annum, interest compounded annually. What will amount of the same sum to in 2 yr at the same rate on compound interest?

Select the correct answer

Rs. 15640

Rs. 17820

Rs. 17280

Rs. 14520

Correct Answer is: C

Solution:

Q. 110. The marked price of an article is Rs. 550. A shopkeeper allows a discount of 20% and still gets a profit of 10%. If he sells it for Rs. 470, his profit percent will be

Select the correct answer

16.8

17.5

Correct Answer is: C

Solution:

Q. 111.

Select the correct answer

1 $\frac{5}{6}$

1 $\frac{2}{3}$

3 $\frac{1}{2}$

4 $\frac{5}{6}$

Correct Answer is: C

Solution:

Q. 112. In a triangle ABC, right angled at B, AB = 7 cm and (AC - BC) = 1 cm. The value of (sec C + cot A) is

Select the correct answer

19/24

4/3

3/4

Correct Answer is: B

Solution:

Q. 113.

The curved surface area and the volume of a cylinder are 264 cm² and 924 cm³, respectively. What is the ratio of its radius to height? (Take $\pi$ = 22/7)

Select the correct answer

4 : 3

5 : 4

7 : 6

3 : 2

Correct Answer is: C

Solution:

Q. 114. The ratio of the efficiencies of A, B and C, to do a certain work is 7 : 3 : 5. Working together, they can complete the work in 21 days. A and C worked together for 15 days. The remaining work will be completed by B alone in

Select the correct answer

54 days

45 days

60 days

63 days

Correct Answer is: B

Solution:

Q. 115.

The table shows the production of different types of cars (in thousands).

If the data related to the production of type B cars is represented by a pie chart, then the central angle of the sector representing the production of cars in 2016 is

56^°

81^°

75^°

73^°

Correct Answer is: B

Solution:

Q. 116.

A bought an article for Rs. 5400 and sold it at a loss of 30%. With this amount, he bought another article and sold it at a gain of 60%, What was his overall percentage gain or percentage loss?

Select the correct answer

Gain, 1.2%

Gain, 12%

Loss, 12%

Loss 1.2%

Correct Answer is: B

Solution:

Q. 117.

In triangle PQR, QT is perpendicular to PR and S is a point on QR such that $\angle$ PSQ = p^°. If $\angle$ TQR = 46^° and $\angle$ SPR = 32^°,then the value of p is

Select the correct answer

78^°

82^°

76^°

72^°

Correct Answer is: C

Solution:

Q. 118.

Select the correct answer

-2

$-\frac{7}{3}$

$\frac{7}{3}$

Correct Answer is: B

Solution:

Q. 119.

Select the correct answer

Correct Answer is: B

Solution:

Q. 120.

If x + y + z = 0, then the value of (x² + y² + z²) $\div$ (z² - xy) is

Select the correct answer

-2

-1

Correct Answer is: B

Solution:

Q. 121. What is the ratio of the mean proportional between 4.8 and 10.8 and the third proportional to 0.4 and 2.4?

Select the correct answer

2 : 1

3 : 2

1 : 2

2 : 3

Correct Answer is: C

Solution:

Q. 122.

In $\Delta$ ADC, E and B are the points on the sides AD and AC, respectively such that $\angle$ ABE = $\angle$ ADC. If AE = 6 cm,BC = 2 cm, BE = 3 cm and CD = 5 cm, then (AB + DE)is equal to

Select the correct answer

14 cm

16 cm

$\frac{49}{3}$ cm

$\frac{46}{3}$ cm

Correct Answer is: D

Solution:

Q. 123.

Let O be the centre of a circle and AC be its diameter. BD is a chord intersecting AC at E. Point A is joined to B and D. If $\angle$ BOC 50^° and $\angle$ AOD = 110^°, then $\angle$ BEC = ?

Select the correct answer

80^°

70^°

55^°

90^°

Correct Answer is: A

Solution:

Q. 124.