Exam Syllabus Previous Year Question Paper Try Free Mock Test

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Q. 1.

A solid metallic hemisphere of radius 6.3 cm is melted and recast into a right circular cylinder of radius 9 cm. What is the height (in cm, correct to one decimal place) of the cylinder?

Select the correct answer

1.9

2.7

2.5

2.1

Correct Answer is: D

Solution:

Q. 2.

If cos $θ$ = $\frac{4 x}{1 + 4 x^{2}}$ , then what is the value of sin $θ$ = ?

Select the correct answer

$\frac{1 + 4 x^{2}}{1 - 4 x^{2}}$

$\frac{1 + 4 x^{2}}{4 x^{2}}$

$\frac{1 - 4 x^{2}}{1 + 4 x^{2}}$

$\frac{1 - 4 x^{2}}{4 x^{2}}$

Correct Answer is: C

Solution:

Q. 3. In a triangle ∆ABC, ∠BAC = 90∘ and AD is perpendicular to BC. If AD = 8.4 cm and BD = 4.8 cm, then the length of BC is:

Select the correct answer

19.5 cm

15 cm

18 cm

18.5 cm

Correct Answer is: A

Solution:

Q. 4. Tap P can fill a cistern in 6 hours and tap Q can empty the full cistern in 10 hours. If both taps P and Q are kept open simultaneously, then in how many hours will the empty cistern be completely full?

Select the correct answer

Correct Answer is: A

Solution:

Q. 5.

One dozen notebooks quoted at ₹125 are available at a 20% discount. How many notebooks can be bought for ₹75?

Select the correct answer

Correct Answer is: C

Solution:

Q. 6. A man invests ₹7,000 at 8% per annum simple interest for 2 years and ₹10,000 at compound interest at the same rate for the same period, compounded annually. What will be the total interest and the total amount (in ₹) respectively, on maturity?

Select the correct answer

19,748 and 2,874

2,748 and 19,784

19,784 and 2,784

2,784 and 19,784

Correct Answer is: D

Solution:

Q. 7.

If (sin A − cos A) = 0, then what is the value of cot A?

Select the correct answer

$\frac{π}{6}$

$\frac{π}{4}$

Correct Answer is: C

Solution:

Q. 8.

A boat can travel at a speed of 19 km/h in still water. If the speed of the stream is 3 km/h, then what will be the total time (in hours) taken by the boat to go 88 km downstream and 24 km upstream?

Select the correct answer

4.5 hrs

5 hrs

4 hrs

5.5 hrs

Correct Answer is: D

Solution:

Q. 9. A is 150% of B and B is 40% of C. If A + B + C = 20, then the value of 2B + 3C - 4A is equal to:

Select the correct answer

Correct Answer is: B

Solution:

Q. 10. The following histogram represents the distribution of household expenditure (in ₹) of 200 manual workers in a city.

The ratio of the number of workers whose household expenditure is less than 2200 to the number of workers whose household expenditure is ₹300 and above is:

3 : 5

2 : 5

4 : 5

3 : 4

Correct Answer is: A

Solution:

Q. 11.

Using algebraic identities, simplify the following expression.

$\frac{x^{4} + x^{2} + 1}{x^{2} + x + 1}$

Select the correct answer

$x^{2} - 2 x + 1$

$x^{2} + x + 1$

$x^{2} + 2 x + 1$

$x^{2} - x + 1$

Correct Answer is: D

Solution:

Q. 12. Students of Primary. Middle, Secondary and Sr. Secondary classes collected donation for a Relief Fund as shown in the pie chart. If the donation collected from Middle classes was ₹6,750, then how much money was collected by the Primary classes?

Select the correct answer

₹4,050

₹4,005

₹4,500

₹3,960

Correct Answer is: A

Solution:

Q. 13.

One-quarter of a circular pizza of diameter 28 cm was removed from the whole pizza. What is the perimeter(in cm) of the remaining pizza? (Take π = $\frac{22}{7}$ )

Select the correct answer

Correct Answer is: B

Solution:

Q. 14.

The inner and outer radii of two concentric circles are 6.7 cm and 9.5 cm, respectively. What is the difference between their circumferences (in cm)? (Take π = $\frac{22}{7}$ )

Select the correct answer

20.5

10.4

6.5

17.6

Correct Answer is: D

Solution:

Q. 15.

Study the given graph and answer the question that follows.

The average production of paper by company B in 2014, 2017 and 2018 was $13 \frac{1}{3}$ % less than the production of paper by company A in the year:

2016

2018

2017

2019

Correct Answer is: D

Solution:

Q. 16.

What is the perimeter (in cm)of an equilateral triangle whose height is 3.46 cm? (Take $\sqrt{3}$ = 1.73)

Select the correct answer

10.4

Correct Answer is: D

Solution:

Q. 17. Read the following question carefully and answer it.

Select the correct answer

Correct Answer is: A

Solution:

Q. 18.

The string of a kite is 158 m long and it makes an angle of 30° with the horizontal. What is the height (in m)of the kite? Assume there is no slack in the string.

Select the correct answer

100

Correct Answer is: C

Solution:

Q. 19.

Read the following question carefully and answer it.

If ${(x + \frac{1}{x})}^{3} = 27, t h a n w h a t i s t h e v a l u e o f (x^{2} + \frac{1}{x^{2}}) = ?$

given that x is real.

Select the correct answer

Correct Answer is: C

Solution:

Q. 20.

Study the given pie-chart and answer the question that follows.

The pie chart represents the consumption of fuel (in million liters) by various modes of transport of country X in the year 2015. The total consumption of fuel by various modes of transport in the country is 800 million liters.(The data shown here is only

To obtain fuel, energy is required to run the machinery, which is to be produced by burning coal. If 1 tonne of coal is burnt to produce 0.4 million liters of oil, then approximately what is the requirement of coal (in tonnes) for the Trains sector?

A.

417

B.

415

C.

418

D.

420

Correct Answer is: A

Solution:

Q. 21. One-fifth of a journey is covered at a speed of 30 km/h, one-fourth of the journey at a speed of 25 km/h and the rest at 60 km/h. What is the average speed (in km/h, correct to one decimal place) for the whole journey?

Select the correct answer

A.
38.7

B.
30.6

C.
40.5

D.
25.4

Correct Answer is: A

Solution:

Q. 22.
If a + b = p, ab = q, then (a⁴ + b⁴) is equal to:

Select the correct answer

A.

p⁴ - 2p²q² + q²

B.

p⁴ - 4p²q² + 2q²

C.

p⁴ - 4p²q + q²

D.

p⁴ - 2p²q + 2q²

Correct Answer is: D

Solution:

Q. 23.
What is the greatest five-digit number that is completely divisible by 8, 15, 16, 21, and 5?

Select the correct answer

A.

92680

B.

99120

C.

95760

D.

98320

Correct Answer is: B

Solution:

Q. 24.
By selling an article for ₹1,170. Elisa suffers as much loss as she would have gained by selling it at a profit of 22%. If she sells it for ₹1,450, then her profit/loss percent (correct up to one decimal place) is:

Select the correct answer

A.

Profit, 3.3

B.

Loss, 3.3

C.

Loss, 26.2

D.

Profit, 26.2

Correct Answer is: B

Solution:

Q. 25. If A : B = 11 : 7 and B : C = 5 : 19, then what is A : B : C?

Select the correct answer

A.
55 : 35 : 133

B.
35 : 55 : 133

C.
35 : 133 : 55

D.
55 : 133 : 35

Correct Answer is: A

Solution:

Q. 26. A sum of money lent ar simple interest amounts to ₹9,920 after 2 years and to ₹12,800 after 5 years. Find the rate of interest per annum.

Select the correct answer

A.
6.57%

B.
12%

C.
18%

D.
9.68%

Correct Answer is: B

Solution:

Q. 27. Read the following question carefully and answer it.

Select the correct answer

A.
1/2

B.
1/64

C.
-1/2

D.
-1/64

Correct Answer is: B

Solution:

Q. 28. Study the given bar graph and answer the question that follows.

A tea plantation company produces three varieties of tea - black tea, green tea and herbal tea. The production of three varieties (in million tonnes) over a period of six years from 2014 to 2019. has been shown in the bar graph here. The X-axis represents

The total production of green tea in 2016 and 2018 is what percent of the total production of herbal tea in 2015 and 2017 ?

A.
83.4

B.
85.6

C.
79.7

D.
81.8

Correct Answer is: D

Solution:

Q. 29. A reduction of 20%, in the rate of sugar enables Sudhir to get 6 kg more sugar for ₹960. What is the reduced rate of sugar per kg?

Select the correct answer

A.
₹35

B.
₹36

C.
₹32

D.
₹40

Correct Answer is: C

Solution:

Q. 30.
D, E, and F are the feet of the perpendiculars from the vertices A, B, and C, respectively of a triangle ABC. If ∠BED and ∠BFE (in degrees) are 24 and 110, respectively, what is the measure (in degrees) of ∠EBF?

Select the correct answer

A.

55 $°$

B.

67 $°$

C.

86 $°$

D.

46 $°$

Correct Answer is: D

Solution:

Q. 31. In △PQR, points T and S are on PQ and PR, respectively, such that TS is parallel to QR. If TQ = 7.2 cm, PS = 1.8 cm and SR = 5.4 cm, then find the length of PT.

Select the correct answer

A.
2 cm

B.
2.4 cm

C.
1.35 cm

D.
3.6 cm

Correct Answer is: B

Solution:

Q. 32. A pair of jeans marked at ₹960 is offered in a departmental store for ₹816. What is the percentage of discount given by the shopkeeper?

Select the correct answer

A.
17.64

B.
17

C.
15

D.
15

Correct Answer is: C

Solution:

Q. 33. If a : b = 5 : 7, b : c = 8 : 15, then find the value of 8c : 5a

Select the correct answer

A.
24 : 5

B.
21 : 5

C.
176 : 65

D.
8 : 21

Correct Answer is: B

Solution:

Q. 34. The line graph shows the production (in tonnes) and the sales (in tonnes) of a company.

What is the percentage of maximum increase or reduction in the production of the company in comparison to the previous year?

A.
46.67% reduction

B.
33.33% reduction

C.
50% increase

D.
29% increase

Correct Answer is: B

Solution:

Q. 35.
Ravi can row a boat in still water at the speed of 14 km/h. If a river is flowing at the speed of 2 km/h and Ravi takes 3 hours to cover a certain distance upstream, then how much time will he take to cover the same distance downstream?

Select the correct answer

A.

2 hr 20 m

B.

2 hr

C.

2 hr 15 m

D.

2 hr 30 m

Correct Answer is: C

Solution:

Q. 36. Read the following question carefully and answer it.

Select the correct answer

A.
19/45

B.
-2/9

C.
-13/5

D.
17/15

Correct Answer is: A

Solution:

Q. 37. PA and PB are tangents drawn to a circle with centre O from an external point P. If A and B are points on the circle and ∠OBA = 42°, then ∠APB is:

Select the correct answer

A.
78°

B.
84°

C.
76°

D.
86°

Correct Answer is: B

Solution:

Q. 38. Simplify the following expression - (2a − b − 3c)(4a² + b² + 9c² + 2ab + 6ac − 3bc)

Select the correct answer

A.
−8a³ + b³ + 27c³

B.
8a³ + b³ + 27c³

C.
8a³ − b³ − 27c³ − 18abc

D.
8a³ − b³ − 27c³ + 18abc

Correct Answer is: C

Solution:

Q. 39.
A soft drink company prepares drinks of three different flavors - A, B, and C. The production of the three flavors over a period of five years from 2010 to 2014 has been expressed in the given bar graph. Study the graph and answer the question that follows.

The difference between the average production of flavor A in 2012, 2013, and 2014 and the average production of flavor C in 2012, 2013, and 2014 is:

A.

10 lakh bottles

B.

12 lakh bottles

C.

18 lakh bottles

D.

15 lakh bottles

Correct Answer is: D

Solution:

Q. 40. If x − y = 4 and xy = 3, then what is the value of x³ − y³ ?

Select the correct answer

A.
88

B.
28

C.
100

D.
64

Correct Answer is: C

Solution:

Q. 41.
In a rectangular park having dimensions of 60 m? 40 m, two circular flower beds with a radius of 7 m are developed. What is the area of the remaining portion of the park?(Use π = 22/7 )

Select the correct answer

A.

1196 m²

B.

1749 m²

C.

2092 m²

D.

2246 m²

Correct Answer is: C

Solution:

Q. 42. Joseph bought two woollen jackets for ₹2,100 and ₹3,150, respectively. By selling the first at a gain of k% and the second at a loss of k%, he found that the selling price of both is the same. What is the value of k?

Select the correct answer

A.
20

B.
22.64

C.
15

D.
25

Correct Answer is: A

Solution:

Q. 43. If the number 34k56k is divisible by 6, then what will be the largest value of k?

Select the correct answer

A.
6

B.
8

C.
9

D.
4

Correct Answer is: A

Solution:

Q. 44. Read the following question carefully and answer it.

Select the correct answer

A.
7/3

B.
3

C.
19/17

D.
-12

Correct Answer is: B

Solution:

Q. 45. Two chords PQ and RS of a circle meet at A when produced. AT is a tangent to the circle meeting it at T. The ratio PA : SA is equal to which of the following?

Select the correct answer

A.
RQ : QT

B.
AQ : AT

C.
AQ : QR

D.
RA : AQ

Correct Answer is: D

Solution:

Q. 46. The average weight of 3 persons A, B and C is 60 kg. When D joins the group, the average weight becomes 65 kg. When another person E whose weight is 3 kg less than that of D replaces A. the average weight of B, C, D and E becomes 67 kg. What is the weight of A ?

Select the correct answer

A.
60 kg

B.
69 kg

C.
72 kg

D.
65 kg

Correct Answer is: B

Solution:

Q. 47. Read the following question carefully and answer it.

Select the correct answer

A.
25/12

B.
3/2

C.
18/5

D.
5

Correct Answer is: A

Solution:

Q. 48.
Geeta can assemble a toy in 10 minutes. whereas Sudha can assemble the same toy in 15 minutes. If they work together how much time will they take to assemble 60 toys?

Select the correct answer

A.

6 hr

B.

5 hr

C.

7 hr

D.

7 hr 30 min

Correct Answer is: A

Solution:

Q. 49. The given line graph shows the production (in tonnes) and the sales (in tonnes) of a company.

How much more is the production in 2015 and 2017 taken together than the sales in 2016 and 2018 taken together (in tonnes)?

A.
425

B.
328

C.
434

D.
178

Correct Answer is: A

Solution:

Q. 50. If cosec² θ(cos θ − 1)(1 + cos θ) = k, then what is the value of k?

Select the correct answer

A.
1

B.
-1

C.
1/2

D.
0

Correct Answer is: B

Solution:

Q. 51. A solid metallic sphere of radius 10 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?

Select the correct answer

A.
64

B.
216

C.
100

D.
125

Correct Answer is: D

Solution:

Q. 52. There are 3 groups of persons - male, female and children. There are 20 males and the number of females and children taken together is 4 more than that of the males. The average weight of males is 54 kg, that of females is 49 kg and that of children is 30 kg. If the average weight of the whole group is 48.25 kg. then what is the difference between the number of females and the number of children?

Select the correct answer

A.
17

B.
10

C.
7

D.
14

Correct Answer is: B

Solution:

Q. 53. Read the following question carefully and answer it.

Select the correct answer

A.
237.6

B.
376.2

C.
273.6

D.
367.2

Correct Answer is: A

Solution:

Q. 54. Simplify the given expression.

Select the correct answer

A.
(a)

B.
(b)

C.
(c)

D.
(d)

Correct Answer is: A

Solution:

Q. 55. Study the given graph and answer the question that follows.

By what percentage is the average expenditure of the company in 2014, 2016 and 2018 less than the revenue in 2017?

A.
37.50%

B.
56.25%

C.
63.27%

D.
38.75%

Correct Answer is: D

Solution:

Q. 56. Evaluate the following expression.

Select the correct answer

A.
-1

B.
1

C.
-2

D.
2

Correct Answer is: A

Solution:

Q. 57. Nalini's younger brother is 12 years old. If the ratio of the age of Nalini to that of her brother is 7 : 6, then what will be ratio in their ages 6 years hence?

Select the correct answer

A.
10 : 9

B.
13 : 12

C.
17 : 15

D.
10 : 6

Correct Answer is: A

Solution:

Q. 58. Read the following question carefully and answer it.

Select the correct answer

A.
6

B.
4

C.
5

D.
3

Correct Answer is: C

Solution:

Q. 59. The number of students enrolled in different streams at Senior Secondary level in five schools is shown in the bar graph.

What is the ratio of the number of students of science stream of schools A, B and D taken together to the number of students of vocational stream in schools B, D and E taken together?

A.
94 : 65

B.
178 : 125

C.
7 : 5

D.
89 : 65

Correct Answer is: D

Solution:

Q. 60.
ABC is a triangle inscribed in a circle and ∠ACB is equal to 35 $°$ . P is a point on the circle on the side AB, opposite to C. What is the value of ∠APB in degrees?

Select the correct answer

A.

72.5 $°$

B.

145 $°$

C.

175 $°$

D.

70 $°$

Correct Answer is: B

Solution:

Q. 61.
Let O be the center of a circle and AC be the diameter. BD is a chord intersecting AC at E. AD and AB are joined. If 40° and ∠AOD = 120°, then ∠BEC is equal to.

Select the correct answer

A.

55°

B.

80°

C.

90°

D.

70°

Correct Answer is: B

Solution:

Q. 62. The simple interest on a sum of ₹12,000 at the end of 5 years is ₹6,000. What would have been the compound interest on the same sum at the same rate for 3 years when compounded annually?

Select the correct answer

A.
₹3,970

B.
₹3,972

C.
₹3,600

D.
₹2,520

Correct Answer is: B

Solution:

Q. 63. 10 men or 15 women can complete a work in 30 days. In how many days can 15 men and 27 women complete the work?

Select the correct answer

A.
6 1/11

B.
5 1/11

C.
11 1/11

D.
9 1/11

Correct Answer is: D

Solution:

Q. 64. A person saves 25% of his income.If his income increases by 20% and his saving remains the same, then what will be the increased percentage of his expenditure?

Select the correct answer

A.
20

B.
26

C.
30

D.
26 2/3

Correct Answer is: D

Solution:

Q. 65. Study the given bar graph and answer the question that follows.

The bar graph shows the exports of cars of types A and B (in ₹ million).

What is the ratio of the total exports of cars of type A in 2016 and 2018 to the total exports of cars of type B in 2015 and 2017?

A.
23 : 21

B.
15 : 29

C.
18 : 23

D.
21 : 23

Correct Answer is: A

Solution:

Q. 66. Read the following question carefully and answer it.

Select the correct answer

A.
27

B.
42

C.
36

D.
18

Correct Answer is: C

Solution:

Q. 67. Students of Primary, Middle, Secondary and Sr. Secondary classes collected donation for a Relief Fund as shown in the given pie chart.

If the donation collected from Middle classes was 26,750, then how much more money was collected by Middle classes as compared to Secondary classes?

A.
₹6,075

B.
₹₹1,125

C.
₹675

D.
₹2,025

Correct Answer is: C

Solution:

Q. 68.
For θ : 0° < θ < 90°

3 secθ + 4 cosθ = 4 $\sqrt{3}$ , find the value of (1-sinθ + cosθ).

Select the correct answer

A.

$\frac{1 + 2 \sqrt{3}}{2}$

B.

$\frac{1 + \sqrt{3}}{2}$

C.

$\frac{1 - \sqrt{3}}{2}$

D.

$\frac{1 - 2 \sqrt{3}}{2}$

Correct Answer is: B

Solution:

Q. 69.
An article is sold at a certain price. If it is sold at $33 \frac{1}{3}$ % of this price, there is a loss of $33 \frac{1}{3}$ %. What is the percentage profit or percentage loss when it is sold at 40% of the original selling price?

Select the correct answer

A.

Loss 12%

B.

Profit 18%

C.

Loss 20%

D.

Profit 15%

Correct Answer is: C

Solution:

Q. 70.
In ∆ABC. AD is the internal bisector of $∠$ A meeting BC at D. If BD = 3.6 cm and BC = 8 cm, then the ratio of AB to AC will be:

Select the correct answer

A.

11 : 9

B.

7 : 13

C.

13 : 7

D.

9 : 11

Correct Answer is: D

Solution:

Q. 71. In ∆ABC, points D and E are on AB and AC, respectively, such that DE is parallel to BC. If AD = 3 cm, BD = 6 cm and AE = 2 cm, then find the length of CE.

Select the correct answer

A.
6 cm

B.
16 cm

C.
8 cm

D.
4 cm

Correct Answer is: D

Solution:

Q. 72. After allowing a discount of 15% on the marked price of an article, it was sold for ₹425. Had the discount not been given, the profit would have been 25%. What was the cost price (in ₹) of the article?

Select the correct answer

A.
325

B.
450

C.
500

D.
400

Correct Answer is: D

Solution:

Q. 73. What is the sum of all the possible values of k for which a seven-digit number 23k567k is divisible by 3?

Select the correct answer

A.
15

B.
3

C.
109

D.
16

Correct Answer is: A

Solution:

Q. 74. Sunil can row a boat 20 km upstream in 1 hour 15 minutes. If the speed of the current of the river is 2 km/h, then how much time will he take to row the boat 30 km downstream?

Select the correct answer

A.
1 h 10 m

B.
1 h 45 m

C.
1 h 30 m

D.
1 h 20 m

Correct Answer is: C

Solution:

Q. 75. Read the following question carefully and answer it.

Select the correct answer

A.
72

B.
36

C.
18

D.
100

Correct Answer is: A

Solution:

Q. 76. Vijay bought a fridge and a washing machine together for ₹38,200. He sold the fridge at a profit of 15% and washing machine at a loss of 24% and both are sold at the same price. The cost price of the washing machine is:

Select the correct answer

A.
₹26,000

B.
₹24,000

C.
₹23,000

D.
₹22,000

Correct Answer is: C

Solution:

Q. 77.
Solve for θ : 3 cosec θ + 4 sin θ − 4 $\sqrt{3}$ = 0, where θ is an acute angle.

Select the correct answer

A.

45°

B.

30°

C.

60°

D.

15°

Correct Answer is: C

Solution:

Q. 78. Study the following graph and answer the question that follows.

Number of students that appeared and qualified, from various colleges, at a scholarship examination.

The number of students that appeared for the scholarship exam from College X is what percentage of the total number of students that appeared for the exam from all the colleges together?

A.
20

B.
30

C.
25

D.
35

Correct Answer is: C

Solution:

Q. 79. The given bar graph shows the production of table fans in a factory during one week. Study the bar graph and answer the question that follows.

The average production of table fans from Monday to Wednesday is approximately what percentage more than the average production of table fans from Thursday to Saturday? (correct to one decimal place)

A.
25%

B.
28%

C.
27.50%

D.
26.70%

Correct Answer is: D

Solution:

Q. 80.
If the volume of sphere is 697 4/21 cm³, then the radius is (Take π = 22/7)

Select the correct answer

A.

6 cm

B.

5 cm

C.

4.5 cm

D.

5.5 cm

Correct Answer is: D

Solution:

Q. 81. x,y are two positive numbers such that x > y. If x⁴ + y⁴ = 706 and xy = 15, then the value of 2x + 3y is

Select the correct answer

A.
19

B.
20

C.
18

D.
15

Correct Answer is: A

Solution:

Q. 82.
The marked price of an article is 1,360. If a shopkeeper sold the article at a 15% loss after giving a 25% discount, then the cost price of the article is.

Select the correct answer

A.

₹1,200

B.

₹1,600

C.

₹1,400

D.

₹1,500

Correct Answer is: A

Solution:

Q. 83. A completes 20% of a work in 5 days and B completes one-third of the work in 5 days. They began the work together but B leaves after 3 days. The total number of days needed for completion of the work is:

Select the correct answer

A.
18

B.
24

C.
20

D.
30

Correct Answer is: C

Solution:

Q. 84.
If the radius of a circle is equal to the diagonal of a square whose area is 12 cm², then the area of the circle is.

Select the correct answer

A.

248π cm²

B.

32π cm²

C.

24π cm²

D.

36π cm²

Correct Answer is: C

Solution:

Q. 85.
Study the given bar graph which shows the lifetime (in hours) of neon lamps and the number of neon lamps and answer the question that follows.

The number of neon lamps having a life of 500 hours or more but less than 700 hours is what percent of the total number of neon lamps shaving life of 800 hours or more?

A.

57.75%

B.

61.55%

C.

56.25%

D.

51.85%

Correct Answer is: C

Solution:

Q. 86.
A, B, and C are three positive numbers such that A is 70% of B, and B is 40% of C. If the sum of all three numbers is 336, then 15% of the sum of B and C is.

Select the correct answer

A.

42

B.

44

C.

48

D.

32

Correct Answer is: A

Solution:

Q. 87.
The smallest six-digit number that is exactly divisible by 53 is.

Select the correct answer

A.

100011

B.

100042

C.

100008

D.

100064

Correct Answer is: A

Solution:

Q. 88.
A soft drink company prepares drinks of three different flavors - A, B, and C. The production of the three flavours over a period of five years from 2010 to 2014 has been expressed in the given bar graph. Study the graph and answer the question that follows.

Production of three different flavours A, B and (in lakh bottles) by a company over five years.

What was the approximate percentage decline in the production of flavour A in 2013 as compared to the production of flavour A in 2011?

A.

30%

B.

24%

C.

20%

D.

25%

Correct Answer is: D

Solution:

Q. 89.
A, B, and C are three positive numbers such that the average of three-fifths of A and 30% of B is 13.5, and the average of $\frac{3}{8}$ times of B and 25% of C is 15. If A is equal to $\frac{5}{12}$ times of C, then the sum of all three numbers A, B, and is.

Select the correct answer

A.

125

B.

135

C.

145

D.

120

Correct Answer is: A

Solution:

Q. 90. In a triangle ∆ABC,the length of side AC is 4 cm less than five times the length of side AB. The length of side BC exceeds four times the length of side AB by 4 cm.If the perimeter of △ABC is 90 cm, then its area is:

Select the correct answer

A.
160 cm²

B.
164 cm²

C.
180 cm²

D.
148 cm²

Correct Answer is: C

Solution:

Q. 91. Read the following question carefully and answer it.

Select the correct answer

A.
45

B.
56

C.
60

D.
65

Correct Answer is: D

Solution:

Q. 92. If a - b = 7, and a² + b² = 169 where a, b > 0, then the value of 3a + b is

Select the correct answer

A.
44

B.
41

C.
38

D.
46

Correct Answer is: B

Solution:

Q. 93. Read the following question carefully and answer it.

Select the correct answer

A.
3

B.
6

C.
4

D.
6

Correct Answer is: C

Solution:

Q. 94.
A sum of money is distributed among A, B, C, and D in the ratio 5 : 7 : 11 : 15, respectively. If C gets ₹2,480 more than B, then the difference between the shares of B and D is.

Select the correct answer

A.

₹6,490

B.

₹4,950

C.

₹4,690

D.

₹4,960

Correct Answer is: D

Solution:

Q. 95.
A certain sum of money amounts to ₹9,766 in 3 years at simple interest at R% per annum and to ₹10,849 in 4.5 yr at the same rate of simple interest. The value of R is.

Select the correct answer

A.

8

B.

9

C.

9.5

D.

8.5

Correct Answer is: C

Solution:

Q. 96. Ajit Singh left from place P at 9.30 a.m. for place Q. and David Raj left place Q at 1.30 p.m. for place P. The distance between them is 416 km. If Ajit Singh's speed is 44 km/h and David Raj's speed is 52 km/h, then at what time will they meet each other?

Select the correct answer

A.
4.30 p.m.

B.
5 p.m.

C.
6 p.m.

D.
4 p.m.

Correct Answer is: D

Solution:

Q. 97. The sum of three sides of an isosceles triangle is 20 cm, and the ratio of an equal side to the base is 3 : 4. The altitude of the triangle is:

Select the correct answer

A.
3 √3 cm

B.
3 √5 cm

C.
4 √5 cm

D.
2 √5 cm

Correct Answer is: D

Solution:

Q. 98. Read the following question carefully and answer it.

Select the correct answer

A.
7

B.
21

C.
11

D.
14

Correct Answer is: A

Solution:

Q. 99. If cot²θ + cot⁴θ = 2, then the value of 2 sin⁴θ + sin²θ is

Select the correct answer

A.
3

B.
5

C.
1

D.
2

Correct Answer is: C

Solution:

Q. 100. A,B, and C are three points on a circle whose centre is O. If angle BOC is equal to 124°, then what is the value of angle BAC (in degrees).

Select the correct answer

A.
72°

B.
62°

C.
66°

D.
34°

Correct Answer is: B

Solution:

Q. 101. What is the value of x, if 25% of 480 + 30% of 500 + x% of 90 = 35% of 900 ?

Select the correct answer

A.
45

B.
50

C.
55

D.
40

Correct Answer is: B

Solution:

Q. 102.
If the number A9257B684 is divisible by 11, then what is the least value of A - B?

Select the correct answer

A.

14

B.

0

C.

- 8

D.

3

Correct Answer is: C

Solution:

Q. 103.
If cot² x − 7 cosec² x + 7 = 0, then the value of x (0° <= x <= 90°) is:

Select the correct answer

A.

30°

B.

0°

C.

90°

D.

60°

Correct Answer is: C

Solution:

Q. 104. Study the following graph and answer the question that follows.

Marks scored by five students A, B, C, D and E in three subjects (Maths, English and Physics). Total marks for each subject are 100.

What is the percentage marks obtained by E in all three subjects together? (Assuming maximum marks for each subject are 100.)

A.
40

B.
50

C.
70

D.
60

Correct Answer is: D

Solution:

Q. 105.
Find the area (incm²) and the diameter (in cm), respectively, of a circle whose circumference is 40π cm.

Select the correct answer

A.

400π and 40

B.

40 and 400π

C.

400 and 40

D.

40 and 400

Correct Answer is: A

Solution:

Q. 106. Study the given bar graph and answer the question that follows.

The given bar graph represents the Sales Turnover (in 2 crore) of five automobile companies A. B. C.D and E during 2014-2015 and 2015-2016. The X-axis represents the Companies, and the Y-axis shows the Sales Turnover (in 2 crore).(The data shown here is

If there was an increase of 25% in the average of the sales turnover of all the companies together in 2014-2015 from that in 2013-2014, then what was the average (in 2 crore, up to two decimal places) of the sales turnover of all the companies together in

A.
848.64

B.
588.96

C.
806.21

D.
985.67

Correct Answer is: A

Solution:

Q. 107.
If the difference between two numbers is 5 and the difference between the in cubes is 1850, then the difference between their squares is:

Select the correct answer

A.

5 $\sqrt{484}$

B.

5 $\sqrt{482}$

C.

5 $\sqrt{485}$

D.

5 $\sqrt{483}$

Correct Answer is: C

Solution:

Q. 108. If (a + b + c) = 0 and (abc) = 12, then what is the value of (a³ + b³ + c³) ?

Select the correct answer

A.
6

B.
12

C.
72

D.
36

Correct Answer is: D

Solution:

Q. 109. In General store. an item with an MRP of ₹.35,600 is on the discount counter with a special price of ₹.34,888. What is the percentage of discount given for that item?

Select the correct answer

A.
3%

B.
4%

C.
1%

D.
2%

Correct Answer is: D

Solution:

Q. 110. The compound interest (in ₹., to the nearest integer) on ₹ 8,950 for 2 years at the rate of 9% per annum, compounded annually, is:

Select the correct answer

A.
1,523

B.
1,683

C.
1,685

D.
1,468

Correct Answer is: B

Solution:

Q. 111.
AB and AC are tangents to a circle with center O from an external point A. The tangents AB and AC touch the circle at B and C, respectively, such that ∠BAC = 118°. Find the measure of ∠OCB.

Select the correct answer

A.

59°

B.

62°

C.

60°

D.

54°

Correct Answer is: A

Solution:

Q. 112. Varun and Syan can do a work in 3 days, Syan and Anil can do it in 4 days. and Anil and Varun can do it in 6 days. How many days will Anil alone take to do the work?

Select the correct answer

A.
22

B.
18

C.
20

D.
24

Correct Answer is: D

Solution:

Q. 113. What is the value of sin² 60° + tan² 45° + sec² 45° − cosec²30° ?

Select the correct answer

A.
4

B.
1/4

C.
-1/4

D.
-4

Correct Answer is: C

Solution:

Q. 114. Two trains start at the same time from two stations and proceed towards each other at speeds of 90 km/h and 70 km/h, respectively. When they meet, it is found that one train has travelled 140 km more than the other, What is the distance (in km) between the two stations?

Select the correct answer

A.
1100

B.
1120

C.
980

D.
1200

Correct Answer is: B

Solution:

Q. 115.
What is the area (in m², up to 1 place of decimal) of an equilateral triangular field of sides 8.5 m?

Select the correct answer

A.

$\frac{18.1}{\sqrt{3}}$

B.

18.1 $\sqrt{3}$

C.

$\frac{72.25}{\sqrt{3}}$

D.

72.25 $\sqrt{3}$

Correct Answer is: B

Solution:

Q. 116. A's salary increases in the ratio 8 : 11. If his new salary is ₹33,000, then what was his original salary (in ₹)?

Select the correct answer

A.
20,000

B.
18,000

C.
22,000

D.
24,000

Correct Answer is: D

Solution:

Q. 117. Students of Primary, Middle, Secondary and Sr. Secondary classes collected donation for a Relief Fund as shown in the pie chart. If the donation collected from Middle classes was ₹6,750, then what would be the total amount of money collected by Secondary and Sr. Secondary classes?

Select the correct answer

A.
₹9,675

B.
₹11,700

C.
₹9,450

D.
₹12,825

Correct Answer is: B

Solution:

Q. 118. The sum of two numbers is 59 and their product is 1150. Find the sum of their squares.

Select the correct answer

A.
1183

B.
1178

C.
1176

D.
1181

Correct Answer is: D

Solution:

Q. 119. A shopkeeper sells two refrigerator sets at the same price. He gains 40% on one refrigerator and loses 40% on the other. What is his net loss percentage in the whole transaction?

Select the correct answer

A.
18%

B.
14%

C.
12%

D.
16%

Correct Answer is: D

Solution:

Q. 120. If 2 tan x + 3 cot x = 5, then the value of 4 tan²x + 9 cot²x is:

Select the correct answer

A.
11

B.
15

C.
17

D.
13

Correct Answer is: D

Solution:

Q. 121. The length of a rectangle is five times of its breadth. If the area of the rectangle is 3125 cm² , then what is the length of the rectangle?

Select the correct answer

A.
125 cm

B.
20 cm

C.
135 cm

D.
130 cm

Correct Answer is: A

Solution:

Q. 122.
The centroid of an equilateral triangle △ABC is O. If AB = 27 cm, then the length of AO is:

Select the correct answer

A.

9 $\sqrt{3}$ cm

B.

6 $\sqrt{3}$ cm

C.

7 $\sqrt{3}$

D.

8 $\sqrt{3}$

Correct Answer is: A

Solution:

Q. 123.
30 people went to a restaurant for a dinner party. 20 of them paid ₹880 each and each of the rest of them paid ₹110 more than the average of total expenses. What was the total expense (in ₹) for the dinner?

Select the correct answer

A.

27,840

B.

29,360

C.

28,050

D.

24,580

Correct Answer is: C

Solution:

Q. 124. What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600 ?

Select the correct answer

A.
-118.6

B.
181.6

C.
-181.6

D.
118.6

Correct Answer is: A

Solution:

Q. 125. The given pie charts represent the distribution of candidates who enrolled for a bank clerical examination and the candidates (out of those enrolled) who passed the examination. from five different institutes P, Q, R, S and T.Study the pie charts and answer the question that follows.

The average number of candidates passed from institutes P and Q together is what percentage of the total number of candidates enrolled from institutes P and Q together?

A.
30%

B.
25.20%

C.
25.80%

D.
24.60%

Correct Answer is: B

Solution:

Q. 126. The given pie chart shows the distribution of money spent by Aditya through credit cards of different banks A, B, C, D and E. The total money spent by him through credit cards in a year is ₹3,60,000.

What is his combined spending through credit cards of bank A and bank C?

A.
₹60,000

B.
₹1,00,000

C.
₹1,80,000

D.
₹1,40,000

Correct Answer is: D

Solution:

Q. 127.
The side BC of a triangle ∆ABC is extended to a point D. If ∠ACD = 117∘ and ∠ABC = $\frac{5}{8}$ ∠BAC, then what is the measure of ∠ABC?

Select the correct answer

A.

45°

B.

72°

C.

36°

D.

54°

Correct Answer is: A

Solution:

Q. 128. The perimeter and the area of a rectangular sheet are 42 m and 108 m², respectively. The length of the diagonal is:

Select the correct answer

A.
15 m

B.
10 m

C.
14 m

D.
12 m

Correct Answer is: A

Solution:

Q. 129.
Read the following question carefully and answer it.

Select the correct answer

A.

$\frac{\sqrt{3}}{2}$

B.

1/ $\sqrt{2}$

C.

$\frac{1}{4}$

D.

$\frac{1}{2}$

Correct Answer is: D

Solution:

Q. 130. If the number 583p2310q² is divisible by 11, then what is the value of p x q, where p > q?

Select the correct answer

A.
4

B.
2

C.
6

D.
0

Correct Answer is: C

Solution:

Q. 131.
P, Q, and R are three points on the circumference of a circle such that QR is a diameter and PQ = PR. If the radius of the circle is 7 cm, then the length of PQ is:

Select the correct answer

A.

14 $\sqrt{2}$ cm

B.

7 cm

C.

7 $\sqrt{3}$ cm

D.

7 $\sqrt{2}$ cm

Correct Answer is: D

Solution:

Q. 132.
Solve the following equation 2cos²θ + (4 + $\sqrt{3}$ ) sinθ - 2(1 + $\sqrt{3}$ ) = 0 where θ is an acute angle.

Select the correct answer

A.

30°

B.

45°

C.

15°

D.

60°

Correct Answer is: D

Solution:

Q. 133.
A sum of money amounts to ₹28,224 in 2 years and to ₹29,635.20 in 3 years when invested on compound interest, compounded annually. What is the sum of money?

Select the correct answer

A.

₹26,880

B.

₹26,095

C.

₹26,000

D.

₹25,600

Correct Answer is: D

Solution:

Q. 134. If x³ + y³ = 468 and x + y = 12, then the value of x⁴ + y⁴ will be

Select the correct answer

A.
3620

B.
2036

C.
3025

D.
3026

Correct Answer is: D

Solution:

Q. 135.
A circle touches all four sides of a quadrilateral PQRS. If PQ = 11 cm, QR = 12 cm, and PS = 8 cm, then what is the length of RS?

Select the correct answer

A.

9 cm

B.

7.3 cm

C.

7 cm

D.

15 cm

Correct Answer is: A

Solution:

Q. 136. The given histogram shows the marks scored by 40 students in a test of maximum 30 marks.

What is the percentage of students who scored less than 50% marks?

A.
25

B.
17

C.
62.5

D.
42.5

Correct Answer is: D

Solution:

Q. 137. Read the following question carefully and answer it.

Select the correct answer

A.
1

B.
5

C.
4

D.
2

Correct Answer is: A

Solution:

Q. 138. How many isosceles triangles with integer sides are possible such that the sum of two of the sides is 16 cm?

Select the correct answer

A.
18

B.
15

C.
9

D.
24

Correct Answer is: D

Solution:

Q. 139. If 4p = 6q = 9r, then p : q : r is equal to:

Select the correct answer

A.
9 : 6 : 4

B.
4 : 6 : 9

C.
15 : 13 : 10

D.
16 : 36 : 81

Correct Answer is: A

Solution:

Q. 140. A man buys 400 oranges for ₹2,000. How many oranges can be sold for ₹260 so that he gets a profit of 30%?

Select the correct answer

A.
35

B.
30

C.
45

D.
40

Correct Answer is: D

Solution:

Q. 141. If k - 3/k = 5, then what is the value of k² + 9/k² ?

Select the correct answer

A.
31

B.
25

C.
11

D.
19

Correct Answer is: A

Solution:

Q. 142.
What number should be subtracted from 4(sin⁴ 60° + cos⁴ 30°) − (tan² 45° − cot² 30°) + cos² 45° − cosec² 45° + sec² 60° to get 2?

Select the correct answer

A.

5

B.

4

C.

7

D.

3

Correct Answer is: C

Solution:

Q. 143.
A merchant announces a 25% discount on the price of a shirt. If one needs to have a total rebate of ₹875 and the price of each shirt is ₹250, then how many shirts should the person purchase?

Select the correct answer

A.

15

B.

12

C.

9

D.

14

Correct Answer is: D

Solution:

Q. 144. Study the given pie charts and answer the question that follows.

The pie charts show the distribution of students of graduate and postgraduate levels in five different institutes P, Q, R, S and T in a town.

The ratio of the number of students of graduate level in Institutes P and S together to that of post graduate level in institutes P and S is:

A.
33 : 25

B.
31 : 23

C.
28 : 25

D.
31:24:00

Correct Answer is: D

Solution:

Q. 145.
In an examination of 180 marks of a subject, 75% of marks are allocated for theory and the rest for project work. Veena scored 60% in theory. What percentage of marks must she score in the project to achieve an overall 62% mark in the subject?

Slect the correct answer

A.

65

B.

66

C.

68

D.

64

Correct Answer is: C

Solution:

Q. 146.
If a² + b² + c² + 170 = 2(8a + 5b − 9c), then the value of $\sqrt{4 a + 8 b - c}$ will be:

Slect the correct answer

A.

15

B.

12

C.

9

D.

8

Correct Answer is: C

Solution:

Q. 147.
A can do a work in 7.5 hr and B can do the same work in 10.5 hr. If they work together for 3.5 hr, then what part of the work will be left out?

Slect the correct answer

A.

$\frac{3}{5}$

B.

$\frac{4}{5}$

C.

$\frac{1}{5}$

D.

$\frac{2}{5}$

Correct Answer is: C

Solution:

Q. 148.
The average of the numbers a, b. c and d is 2d + 4. Also, the averages of the numbers a and b; b and c; c and d are 8, 5 and 4, respectively, If e = a + d + 1, then what is the average of the numbers d and e?

Slect the correct answer

A.

8

B.

8.5

C.

3

D.

7

Correct Answer is: A

Solution:

Q. 149.
Study the given pie chart and table and answer the question that follows.

The pie chart represents the percentage-wise distribution of 300 students of class X in a school in six different sections A, B, C, D, E, and F.

The difference between the central angles of the sectors corresponding to the sections A and F is:

A.

28.4°

B.

38.8°

C.

26.8°

D.

28.8°

Correct Answer is: D

Solution:

Q. 150.
A person moved from place A to place B at 2 p.m. at a speed of 4.5 km/h, stayed at place B for 1.5 hours, and returned to place A at a speed of 6 km/h. He came back to place A at 7 p.m. What is the distance between places A and B (in km)?

Select the correct answer

A.

$8 \frac{1}{3}$

B.

$8 \frac{2}{5}$

C.

9

D.

$9 \frac{6}{11}$

Correct Answer is: C

Solution:

Q. 151. 24% of Reena's salary is equal to 38% of Sunita's salary. Veena's salary is two-third of the total salary of Reena and Sunita. If Veena's salary is ₹62,000, then Sunita's salary is:

Select the correct answer

A.
₹35,000

B.
₹32,000

C.
₹38,000

D.
₹36,000

Correct Answer is: D

Solution:

Q. 152. Study the given bar graphs and answer the question that follows.

The bar graphs represent the amount invested in raw materials (in ₹ crore) and the sale of the products, by a textile company in the years 2007 - 2012. The X-axis represents the years. The Y-axis represents the amount invested in raw materials (in ₹ crore

In which year was there a maximum percentage increase in the sales of products as compared to the previous year?

A.
2008

B.
2010

C.
2009

D.
2011

Correct Answer is: C

Solution:

Q. 153. A man invests an amount of ₹1,05,750 at simple interest in the name of his son, daughter and his wife in such a way that they get the same interest after 3, 4 and 5 years, respectively.If the rate of interest is 5% per annum, then the amount invested for the wife is:

Select the correct answer

A.
₹27,000

B.
₹28,000

C.
₹25,000

D.
₹30,000

Correct Answer is: A

Solution:

Q. 154. Read the following question carefully and answer it.

Select the correct answer

A.
√3/4

B.
√2

C.
1/4

D.
1/2

Correct Answer is: D

Solution:

Q. 155.
The sum of all the three sides of an equilateral triangle is 15 $\sqrt{3}$ cm. The height of the triangle is:

Select the correct answer

A.

7 cm

B.

8 cm

C.

7.5 cm

D.

9 cm

Correct Answer is: C

Solution:

Q. 156. Anu can complete a piece of work in 22 days. Shama is 60% more efficient than Anu. How many days does Shama alone take to complete the same piece of work?

Select the correct answer

A.
36 2/3

B.
35 1/3

C.
13 1/5

D.
13 3/4

Correct Answer is: D

Solution:

Q. 157. Study the given bar graph and answer the question that follows.

A tea plantation company produces three varieties of tea-black tea, green tea and herbal tea. The production of three varieties (in million tonnes) over a period of six years from 2014 to 2019, has been shown in the bar graph here. The X-axis represents t

The average production of black tea in 2014, 2015 and 2018 is how much more or less(in million tonnes) than the average production of green tea in 2016, 2017 and 2019?

A.
More, 12.33

B.
Less, 12.33

C.
Less, 13.33

D.
More, 13.33

Correct Answer is: C

Solution:

Q. 158.
Two numbers A and B are in the ratio 13 : 17. If A is increased by 15% and B is increased by 30%, then the new ratio of A to B will be:

Select the correct answer

A.

21 : 29

B.

21 : 31

C.

23 : 34

D.

23 : 33

Correct Answer is: C

Solution:

Q. 159. In △ABC, AC = BC, and the length of the base AB is 10 cm. If CG = 8 cm, where G is the centroid, then what is the length of AC ?

Select the correct answer

A.
13 cm

B.
15 cm

C.
√91 cm

D.
12 cm

Correct Answer is: A

Solution:

Q. 160.
A,B, C and D are four positive numbers such that A is $\frac{3}{4}$ times of B, B is $\frac{4}{5}$ times of C, and C is $\frac{3}{8}$ times of D. If the average of 4 times of A and 7 times of D is 316, then the average of all the four numbers A, B, C and D is:

Select the correct answer

A.

36

B.

38

C.

28

D.

34

Correct Answer is: B

Solution:

Q. 161. A car takes 50 minutes to cover a certain distance at a speed of 54 km/h. If the speed is increased by 25%, then how long will it take to cover three-fourth of the same distance?

Select the correct answer

A.
35 min

B.
40 min

C.
30 min

D.
25 min

Correct Answer is: C

Solution:

Q. 162.
The given pie charts represent the distribution of candidates who enrolled for a bank clerical examination and the candidates (out of those enrolled) who passed the examination, from five different institutes P, Q, R, S, and T. Study the pie charts and answer the question that follows.

(i) Total number of candidates who enrolled for the examination from five institutes = 5500, (ii) Total number of candidates who passed the examination from five institutes = 3300,

Which institute(s) has/have the highest percentage of candidates passed to the candidates enrolled?

A.

P

B.

S

C.

Q and T

D.

R

Correct Answer is: D

Solution:

Q. 163. A rectangle with perimeter 50 cm has its sides in the ratio 1 : 4. What is the perimeter of a square whose area is the same as that of the rectangle?

Select the correct answer

A.
36 cm

B.
50 cm

C.
40 cm

D.
45 cm

Correct Answer is: C

Solution:

Q. 164.
Read the following question carefully and answer it.

If $x^{2} + \frac{1}{x^{2}} = 83, t h e n t h e v a l u e o f x^{3} - \frac{1}{x^{3}} = ?$ $(x > 0)$

Select the correct answer

A.

756

B.

675

C.

576

D.

746

Correct Answer is: A

Solution:

Q. 165.
Two equal circles of radius 8 cm intersect each other such that each passes through the centre of the other. The length of the common chord is:

Select the correct answer

A.

8 cm

B.

4 $\sqrt{3}$ cm

C.

8 $\sqrt{3}$ cm

D.

8 $\sqrt{2}$ cm

Correct Answer is: C

Solution:

Q. 166.
If tan A + sec A = $\frac{3}{2}$ and A is on acute angle, then the value of $\frac{10 c o t A + 13 \cos A}{12 \tan A + 5 \cos e c A}$ is

Select the correct answer

A.

5

B.

1

C.

4

D.

2

Correct Answer is: D

Solution:

Q. 167. Two circles with centres O and P and radii 17 cm and 10 cm. respectively, intersect each other at A and B. The length of the common chord AB is 16 cm. What is the perimeter of the triangle OAP (in cm)?

Select the correct answer

A.
33

B.
25

C.
48

D.
40

Correct Answer is: C

Solution:

Q. 168.
If $x + \frac{1}{x} = \sqrt{13}$ , then one of the values of $x^{3} - \frac{1}{x^{3}}$ is

Select the correct answer

A.

4 $\sqrt{11}$

B.

32

C.

4 $\sqrt{13}$

D.

36

Correct Answer is: D

Solution:

Q. 169. The number of students enrolled in different streams at Senior Secondary level in five schools is shown in the given bar graph.

What is the total number of students enrolled in the Science stream in all the schools?

A.
267

B.
268

C.
263

D.
257

Correct Answer is: C

Solution:

Q. 170. If the nine-digit number '8475639AB' is divisible by 99, then what is the value of A and B?

Select the correct answer

A.
A = 4, B = 6

B.
A = 5, B = 3

C.
A = 3, B = 9

D.
A = 4, B = 8

Correct Answer is: D

Solution:

Q. 171. If secθ - cosecθ = 0 is an acute angle, then what is the value of sec²θ + cosec²θ ?

Select the correct answer

A.
4

B.
1

C.
2

D.
0

Correct Answer is: A

Solution:

Q. 172. What will be the selling price of an article if two successive discounts of 15% and 12% are offered on its marked price of ₹25,500?

Select the correct answer

A.
₹19,074

B.
₹25,041

C.
₹21,165

D.
₹18,615

Correct Answer is: A

Solution:

Q. 173. A shopkeeper sold an article for ₹3,750. If he had charged 24%less, even then he would have earned a profit of 14%. What is the original cost of the article?

Select the correct answer

A.
₹2,850

B.
₹2,717

C.
₹3,289

D.
₹2,500

Correct Answer is: D

Solution:

Q. 174.
Read the following question carefully and answer it.

If $x^{2} + (4 - \sqrt{3}) x - 1 = 0, t h e n w h a t i s t h e v a l u e o f x^{2} + \frac{1}{x^{2}} = ?$

Select the correct answer

A.

9 - 8 $\sqrt{3}$

B.

20 - 12 $\sqrt{3}$

C.

21 - 8 $\sqrt{3}$

D.

17 - 8 $\sqrt{3}$

Correct Answer is: C

Solution:

Q. 175.
Read the following question carefully and answer it.

Select the correct answer

A.

$\frac{7}{41}$

B.

0

C.

15

D.

-4

Correct Answer is: B

Solution:

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