SSC CHSL

Q. 1.

Length and breadth of rectangular field are in the ratio 5 : 2. If the perimeter of the field is 238 m. Find the length of the field. 

Select the correct answer

A.

84 m  

B.

85 m

C.

82 m 

D.

83 m 

Correct Answer is: B

Q. 2.

A man divided his journey into three parts of distances of 18 km, 20 km, and 27 km. He traveled the distances at speeds of 6 km/h, 5 km/h, and 9 kn/h, respectively. What was his average speed during the entire journey?

Select the correct answer

A.

6.5 km/h 

B.

4.5 km/h

C.

7.5 km/h

D.

5.5 km/h

Correct Answer is: A

Q. 3.

The given graph represents the percentage distribution of the total expenditure of a company. Study the graph and answer the question that follows. 

What is the ratio of the total expenditure on 'Infrastructure' and 'Transport' to the total expenditure on 'Taxes' and Interest on Loans'?

A.

16 : 13 

B.

15 : 13

C.

17 : 13

D.

14 : 13

Correct Answer is: C

Q. 4. In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 15 cm, PB = 9 cm, CP = 3 cm, then find the length of PD.

Select the correct answer

A.

20 cm

B.

22 cm

C.

16 cm

D.

18 cm

Correct Answer is: D

Q. 5. On selling a bike for ₹2500 a seller incurs a loss of 20%. What price would have caused him to lose 30%?

Select the correct answer

A.

₹2186.5

B.

₹2187.5

C.

₹2188.5

D.

₹2185.5

Correct Answer is: B

Q. 6.

If a − b = 4 and a³ − b³ = 88, then find the value of a² − b².

Select the correct answer

A.

7 6

B.

9 6

C.

6 6

D.

8 6

Correct Answer is: D

Q. 7. If x + y + z = 10, x³ + y³ + z³ = 75 and xyz = 15, then find the value of x² + y² + z² -xy - yz - zx.

Select the correct answer

A.

3

B.

5

C.

6

D.

4

Correct Answer is: A

Q. 8. Mohan offers to sell his articles at a discount of 20%, but he marks his articles by increasing the price of each by 35%. What percentage would his gain be?

Select the correct answer

A.

9%

B.

7%

C.

8%

D.

10%

Correct Answer is: C

Q. 9.

Read the following question carefully and answer it.

Select the correct answer

A.

32

B.

1

C.

12

D.

12

Correct Answer is: B

Q. 10.

If 3 sec² x − 4 = 0, then the value of x (0° < x < 90°).

Select the correct answer

A.

15°

B.

45°

C.

30°

D.

60°

Correct Answer is: C

Q. 11. Find the value of 2.1 + 2.25 ÷ [63 − 7.5 × 8 + (13 − 2.5)].

Select the correct answer

A.

3.0 ,

B.

2.9

C.

3.1

D.

2.8

Correct Answer is: A

Q. 12. The given graph represents the percentage distribution of the total expenditure of a company. Study the graph and answer the question that follows.

The expenditure on 'Interest on loans' is what percentage more than the expenditure on 'Transport'?

A.

5%

B.

2%

C.

4%

D.

3%

Correct Answer is: A

Q. 13.

A runner is running at a speed of 40 km/h. If he runs at a speed of 30 km/h, then what will the decrease in the percentage of his speed be?

Select the correct answer

A.

30%

B.

25%

C.

20%

D.

15%

Correct Answer is: B

Q. 14. In the figure, L is the centre of the circle, and ML is the perpendicular to LN. If the area of the triangle MLN is 36, then the area of the circle is:

Select the correct answer

A.

68π cm²

B.

70π cm²

C.

66π cm²

D.

72π cm²

Correct Answer is: D

Q. 15.

If 4cos²θ − 3sin²θ + 2 = 0, then the value of tanθ is (where 0° < θ < 90°)

Select the correct answer

A.

1

B.

6

C.

2

D.

13

Correct Answer is: B

Q. 16.

In how many years will the simple interest on a sum of money be equal to the principal at a rate of 1224% p.a.?

Select the correct answer

A.

7 yr

B.

8 yr

C.

6 yr

D.

5 yr

Correct Answer is: B

Q. 17. ₹3, 600 is divided between Seema, Komal and Rita, such that the ratios of the shares of Seema : Komal = 1.5 : 2 and Komal : Rita = 2 : 2.5. Find Rita's share.

Select the correct answer

A.

₹1, 400

B.

₹1, 200

C.

₹1, 300

D.

₹1, 500

Correct Answer is: D

Q. 18. The average of the runs of a cricket player in 20 matches is 35. If the average of the first 12 matches is 45, find the average of the last 8 matches.

Select the correct answer

A.

20

B.

16

C.

22

D.

18

Correct Answer is: A

Q. 19. When (77⁷⁷ + 77) is divided by 78, the remainder is:

Select the correct answer

A.

74

B.

77

C.

75

D.

76

Correct Answer is: D

Q. 20. The following graph shows the performance in aggregate marks of 2 board examinations of a group of friends. On the basis of the graph, identify the girl who has shown the maximum improvement from class X to class XII.

Select the correct answer

A.

Veena

B.

Alka

C.

Meena

D.

Madhu

Correct Answer is: B

Q. 21. 30 men working 8 hours per day can dig a pond in 16 days. By working how many hours per day can 32 men dig two same ponds, in 20 days?

Select the correct answer

A.

6 hours per day

B.

7 hours per day

C.

5 hours per day

D.

8 hours per day

Correct Answer is: A

Q. 22. If a + b = 11 and ab = 15 and a² + b² is equal to

Select the correct answer

A.

91

B.

92

C.

93

D.

90

Correct Answer is: A

Q. 23. XYZ is a triangle. If the medians ZL and YM intersect each other at G, then (Area of △ GLM: Area of △ XYZ) is:

Select the correct answer

A.

1 : 12

B.

1 : 14

C.

1 : 11

D.

1 : 10

Correct Answer is: A

Q. 24. PQR is an isosceles triangle such that PQ = QR = 10 cm and △PQR = 90°. What is the length of the perpendicular drawn from Q on PR?

Select the correct answer

A.

6√2

B.

7√2

C.

5√2

D.

4√2

Correct Answer is: C

Q. 25. The given graph represents the percentage distribution of the total expenditure of a company. Study the graph and answer the question that follows.

The total expenditure of the company is how many times the total expenditure on 'Research and Development and 'Salary'?

A.

5.75

B.

8.75

C.

7.75

D.

6.75

Correct Answer is: A

Q. 26. Sohan sold a plot for ₹255000 at a 15% loss. At what price should he sell the plot to gain a 10% profit?

Select the correct answer

A.

₹333000

B.

₹330000

C.

₹333300

D.

₹300000

Correct Answer is: B

Q. 27. The difference between two numbers is 43 and their product is 50. Find the sum of their squares.

Select the correct answer

A.

1947

B.

1946

C.

1948

D.

1949

Correct Answer is: D

Q. 28. Two sides of a triangle are of length 3 cm and 8 cm. if the length of the third side is 'x' cm, then

Select the correct answer

A.

5 < x

B.

5 < x < 11

C.

0 < x < 11

D.

x > 11

Correct Answer is: B

Q. 29. A dealer marks his goods at 30% above the cost price. Then, he allows 35% discount on it. What will be his loss percentage?

Select the correct answer

A.

16.50%

B.

17.50%

C.

18.50%

D.

15.50%

Correct Answer is: D

Q. 30.

Which of the following numbers will completely divide the following question-

781+ 782+ 783= ?

Select the correct answer

A.

399

B.

389

C.

387

D.

397

Correct Answer is: A

Q. 31. The difference of simple interest on a sum of money for 8 yr and 10 yr is ₹200. If the rate of intrest 10% p.a., then what is the sum of money?

Select the correct answer

A.

₹1000

B.

₹1400

C.

₹1600

D.

₹1200

Correct Answer is: A

Q. 32.

If M is the mid-point of the side BC of ∆ABC, and the area of ∆ABM is 18 cm², then the area of ∆ABC is.

Select the correct answer

A.

30 cm²

B.

34 cm²

C.

36 cm²

D.

32 cm²

Correct Answer is: C

Q. 33. If a³ + b³ = 20 and a + b = 5, then find the value of a⁴ + b⁴.

Select the correct answer

A.

25

B.

26

C.

24

D.

23

Correct Answer is: D

Q. 34.

Read the following question carefully and answer it.

 

  1. Find the value of cos30°-sin30°cos60°+sin60°

Select the correct answer

A.

2 + 3

B.

2 - 3

C.

1 + 3

D.

1 -3

Correct Answer is: B

Q. 35.

The given bar graph represents the percentage of non-electrified villages in 6 states A, B, C, D, E, and F. Study the graph and answer the question that follows.

How many states have at most 30 % or less non-electrified village?

A.

3

B.

4

C.

1

D.

2

Correct Answer is: A

Q. 36.

The following bar graph shows the number of deaths from road accidents that occurred during the rainy season in the year 1992. Study the graph carefully and answer the question.

Between which two consecutive weeks was the fall in the number of deaths the greatest?

A.

7 July to 14 July

B.

28 July to 4 August

C.

30 June to 7 July

D.

21 July to 28 July

Correct Answer is: A

Q. 37. How much should be added to each term of 4 : 7 so that it becomes 2 : 3 ?

Select the correct answer

A.

3

B.

4

C.

2

D.

1

Correct Answer is: C

Q. 38. X and Y together can finish a piece of work in 15 days, while Y alone can finish it in 40 days. X alone can finish the work in

Select the correct answer

A.

24 days

B.

26 days

C.

25 days

D.

23 days

Correct Answer is: A

Q. 39. If x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and zx = 4, then find the value of x³ + y³ + z³ - 3xy.

Select the correct answer

A.

150.75

B.

152.75

C.

151.75

D.

153.75

Correct Answer is: D

Q. 40.

A man walks from point X to Y at a speed of 20 km/h but comes back from point Y to X at a speed of 25 km/h. Find his average speed.

Select the correct answer

A.

2229 km/h

B.

2329 km/h

C.

2529 km/h

D.

2429km/h

Correct Answer is: A

Q. 41.

If sec²x - 3sec x + 2 = 0, then the value of x (0° < x < 90°) is

Select the correct answer

A.

45°

B.

15°

C.

60°

D.

30°

Correct Answer is: C

Q. 42.

Study the following graph and answer the question.

In which year was the value per tone the minimum?

A.

2005

B.

2007

C.

2009

D.

2006

Correct Answer is: A

Q. 43. The perimeter of a rectangle is 50 cm. Its area and length are in the ratio of 5 : 1. Find the length of the rectangle.

Select the correct answer

A.

15 cm

B.

20 cm

C.

18 cm

D.

22 cm

Correct Answer is: B

Q. 44.

Sachin's income is 25% more than Dilip's income. By how much percentage is Dilip's income less than Sachin's income?

Select the correct answer

A.

15%

B.

20%

C.

18%

D.

22%

Correct Answer is: B

Q. 45. Read the following question carefully and answer it.

Select the correct answer

A.

2

B.

4

C.

3

D.

1

Correct Answer is: D

Q. 46. The following bar graph shows the number of deaths from road accidents occurred during the rainy season in the year 1992. Study the graph carefully and answer the question.

Between which two consecutive weeks was the rise in the number of deaths the greatest?

A.

1 July to 28 July

B.

14 July to 21 July

C.

4 August to 11 August

D.

30 June to 7 July

Correct Answer is: D

Q. 47.

A 5cm long perpendicular is drawn from the center of a circle to a 24cm long chord. Find the diameter of the circle.

Select the correct answer

A.

31 cm

B.

13 cm

C.

30 cm

D.

26 cm

Correct Answer is: D

Q. 48.

In the given figure, chords AB and CD intersect each other at point E. Find the length of AB.

Select the correct answer

A.

22.5 cm

B.

21.5cm

C.

24.5 cm

D.

23.5 cm

Correct Answer is: B

Q. 49. A batsman in his 11th inning makes a score of 77 runs, thereby increasing his average scores by 3. What is his average score after the 11th inning?

Select the correct answer

A.

46

B.

49

C.

47

D.

48

Correct Answer is: C

Q. 50. If cosesθ + cotθ = 2, then sinθ is

Select the correct answer

A.

3/5

B.

2/5

C.

3/4

D.

4/5

Correct Answer is: D

Q. 51.

Read the following question carefully and answer it.

if x = 1+2, then find the value of x+1x

Select the correct answer

A.

2.1014

B.

2.1973

C.

1.9876

D.

1.9996

Correct Answer is: B

Q. 52. The length and breedth of a rectangle are in the ratio 3 : 2. If its perimeter is 730 cm, what is the area of the rectangle?

Select the correct answer

A.

31974 cm²

B.

24452 cm²

C.

20567 cm²

D.

28976 cm²

Correct Answer is: A

Q. 53.

The ratio of tables and chairs in a room is 7 : 9. If there are 560 tables and chairs in the room, then what is the number of chairs?

Select the correct answer

A.

367

B.

315

C.

463

D.

489

Correct Answer is: B

Q. 54. Ram deposited an amount of ₹8000 in a bank's savings account with interest 6.5% compounded monthly. What amount will he get at the end of 18 months?

Select the correct answer

A.

₹8816.97

B.

₹8788.98

C.

₹8790.54

D.

₹8907.56

Correct Answer is: A

Q. 55. The given chart shows the number of students in Class 4, Class 5, Class 6 and Class 7 who got first class, second class and failed in the final examinations.

What is the pass percentage of Class 4?

A.

94.66%

B.

91.23%

C.

95%

D.

90.45%

Correct Answer is: C

Q. 56. Find one-fifth of three-eight of one-third of 11760.

Select the correct answer

A.

598

B.

294

C.

645

D.

467

Correct Answer is: B

Q. 57. The difference between a number and one-third of that number is 228. What is 20% of that number?

Select the correct answer

A.

68.4

B.

58.9

C.

61.8

D.

72.5

Correct Answer is: A

Q. 58. Smith and Ajit can complete a task in 12 days and 18 days, respectively. If they work together on the task for 4 days, then the fraction of the task that will be left is

Select the correct answer

A.

5/9

B.

2/9

C.

1/9

D.

4/9

Correct Answer is: D

Q. 59. The given chart shows the number of students in Class 4, Class 5, Class 6 and Class 7 who got first class, second class and failed in the final examinations.

Which class has the highest number of students who passed?

A.

Class 4

B.

Class 5

C.

Class 6

D.

Class 7

Correct Answer is: A

Q. 60.

Find x if 2sin² x - 1 = 0.

Select the correct answer

A.

π4

B.

π2

C.

0

D.

π

Correct Answer is: A

Q. 61.

A product, whose MRP is ₹978, is sold for ₹925 by a wholesale shop owner. What is the percentage of discount given by him?

Select the correct answer

A.

6.50%

B.

9.20%

C.

5.40%

D.

7.80%

Correct Answer is: C

Q. 62. The given chart shows the number of students in Class 4, Class 5, Class 6 and Class 7 who got first class, second class and failed in the final examinations.

Which class has the least number of students who passed?

A.

Class 4

B.

Class 6

C.

Class 7

D.

class 5

Correct Answer is: C

Q. 63. Which of the following numbers is divisible by 9?

Select the correct answer

A.

897342

B.

594327

C.

346217

D.

734895

Correct Answer is: D

Q. 64.

What is the equation of a circle with a centre of origin and radius is 6 cm?

Select the correct answer

A.

x² + y² - x - y = 36

B.

x² + y² - x = 36

C.

x² + y² - y = 36

D.

x² + y² - 36 = 0

Correct Answer is: D

Q. 65. The sum of two numbers is 59 and their product is 840. Find the sum of their squares.

Select the correct answer

A.

2961

B.

1754

C.

1801

D.

1875

Correct Answer is: C

Q. 66. Two cars start from the same place at the same time at right angles, to each other. Their speed are 54 km/h and 72 km/h, respectively. After 20 sec the distance between them will be.

Select the correct answer

A.

480 m

B.

540 m

C.

720 m

D.

500 m

Correct Answer is: D

Q. 67.

The average age of 16 students in a college is 20. Out of them, the average age of 5 students is 20 and the average age of the other 10 students is 20.4. Find the age of the 16th college student.

Select the correct answer

A.

24

B.

16

C.

20

D.

22

Correct Answer is: B

Q. 68. The given chart shows the number of students in Class 4, Class 5, Class 6 and Class 7 who got first class, second class and failed in the final examinations.

What is the pass percentage of Class 6?

A.

87.83%

B.

90.12%

C.

86.66%

D.

89.96%

Correct Answer is: C

Q. 69.

If cotθ = 8039, find the value fo cosecθ.

Select the correct answer

A.

3980

B.

8939

C.

3989

D.

8980

Correct Answer is: B

Q. 70. A chord of length 24 cm is at a distance of 5 cm from the centre of a circle. What is its area?

Select the correct answer

A.

120 cm²

B.

48067 cm²

C.

531.14 cm²

D.

38928 cm²

Correct Answer is: D

Q. 71. If the height of an equilateral triangle is 12 cm, then what is the area of the triangle?

Select the correct answer

A.

89.567 cm²

B.

96.897 cm²

C.

67.9843 cm²

D.

83.1384 cm²

Correct Answer is: D

Q. 72. If the difference between two numbers is 6 and the difference between their squares is 60, what is the sum of their cubes?

Select the correct answer

A.

678

B.

945

C.

894

D.

520

Correct Answer is: D

Q. 73. What is the area of a trangle whose sides measures 5 cm, 6 cm and 7 cm?

Select the correct answer

A.

10.9797 cm²

B.

12.8484 cm²

C.

16.4545 cm²

D.

14.6969 cm²

Correct Answer is: D

Q. 74.

If sinθ =45, find the value of sin3θ.

Select the correct answer

A.

3245

B.

44125

C.

64125

D.

12125

Correct Answer is: B

Q. 75. By selling an article for ₹600, a shopkeeper makes a profit of 20%. At what price should he sell the article to incur a loss of 20%?

Select the correct answer

A.

₹600

B.

₹400

C.

₹300

D.

₹500

Correct Answer is: B

Q. 76.

The given bar graph represents the production and sales of a certain crop in quintals by the Farmers F1, F2, F3, and F4.

What is the epercentage less in the production by Farmer F1 with respect to the production by Farmer F2?

A.

21733 %

B.

23733 %

C.

22733 %

D.

24733 %

Correct Answer is: A

Q. 77.

If a = 2b, then the value of a+ba-b is

Select the correct answer

A.

5

B.

4

C.

3

D.

6

Correct Answer is: C

Q. 78. Ravi, Mohan and Govind can complete a task in 12 days, 10 days and 15 days, respectively. In how many days can Ravi, Mohan and Govind together complete the same task?

Select the correct answer

A.

8 days

B.

4 days

C.

2 days

D.

6 days

Correct Answer is: B

Q. 79. The given bar graph reprents the production and sales of a certain crop in quintals by the Farmers F1, F2, F3 and F4.

Which farmer recorded the highest percentage of sales with respect to the production?

A.

F3

B.

F1

C.

F2

D.

F4

Correct Answer is: D

Q. 80. Which of the following numbers is divisible by both 7 and 11?

Select the correct answer

A.

16324

B.

12235

C.

16257

D.

16452

Correct Answer is: A

Q. 81.

The marked price of a book is ₹900. What is the selling price of the book after giving two successive discounts each of 10% on it?

Select the correct answer

A.

₹800

B.

₹749

C.

₹729

D.

₹820

Correct Answer is: C

Q. 82.

The radius of a circular cone is R and its height is H. The volume of cone is

Select the correct answer

A.

23πR2H

B.

πR2H3

C.

πR2H

D.

πRH2

Correct Answer is: B

Q. 83.

In a ∆ABC, DE is parallel to BC, AD = 3 cm, AE = 4 cm and AC = 10 cm, then the value of BD (in cm) is

Select the correct answer

A.

3.5 cm

B.

7.5 cm

C.

4.5 cm

D.

5.5 cm

Correct Answer is: C

Q. 84. In a certain time, a sum of money becomes five times itself, if the rate of the interest is 16% p.a. Then the certain time (in yr) is

Select the correct answer

A.

32

B.

38

C.

25

D.

30

Correct Answer is: C

Q. 85. The average of the ages of a group of 65 men is 32 yr. If 5 men join the group, the average of the ages of 70 men is 34 yr. Then the average of the ages of those 5 men joined later (in yr) is

Select the correct answer

A.

50

B.

55

C.

65

D.

60

Correct Answer is: D

Q. 86.

Read the following question carefully and answer it.

Select the correct answer

A.

13

B.

3

C.

2

D.

14

Correct Answer is: D

Q. 87.

Read the following question carefully and answer it.

Select the correct answer

A.

6135

B.

6160

C.

3561

D.

6061

Correct Answer is: B

Q. 88. A motorboat goes 24 km in 2 h along the stream and 10 km in 1 h against the stream. The speed of the motorboat (in km/h) is

Select the correct answer

A.

14

B.

10

C.

11

D.

12

Correct Answer is: C

Q. 89. Ravi sells a chair to Mohan at a profit 10% and Mohan sells it to Govind at profit 20%. If Govind pays ₹1320 for it. Then, the cost price for Ravi is

Select the correct answer

A.

₹980

B.

₹1000

C.

₹900

D.

₹800

Correct Answer is: B

Q. 90.

The value of 18% of 15% of 259 of 3800 is.

Select the correct answer

A.

285

B.

582

C.

583

D.

385

Correct Answer is: A

Q. 91. The given bar graph represents the production and sales of a certain crop in quintals by the Farmers F1, F2, F3, F4.

What is the ratio between the total sales and total production by all farmers?

A.

4 : 5

B.

5 : 6

C.

3 : 4

D.

6 : 7

Correct Answer is: A

Q. 92. The length of tangents drawn from an external point to the circle are

Select the correct answer

A.

not equal

B.

perpendicular

C.

parallel

D.

equal

Correct Answer is: D

Q. 93. If x : y = 3 : 2 and x + y = 90, then the value (x - y ) is

Select the correct answer

A.

12

B.

18

C.

16

D.

14

Correct Answer is: B

Q. 94.

If sin x = 35, 0°  x  90°, then the value of cotx, secx is.

Select the correct answer

A.

35

B.

53

C.

45

D.

34

Correct Answer is: B

Q. 95. If ∆ABC is a right angled triangle with angle ABC = 90°, and AC = 10 cm, BC = 8 cm, then the length of AB is

Select the correct answer

A.

12 cm

B.

2 cm

C.

18 cm

D.

6 cm

Correct Answer is: D

Q. 96. The value of [(a² - b²)³ + (b² - c²)³ + (c² - a²)³] ÷ [(a - b)³ + (b - c)³ + (c - a)³] is equal to (Given a ≠ b ≠ c)

Select the correct answer

A.

(a + b) (b + c) (c + a)

B.

(a² - b²) (b² - c²) (c² - a²)

C.

(a² + b²) (b² + c²) (c² + a²)

D.

(a - b) (b - c) (c - a)

Correct Answer is: A

Q. 97. The given bar graph represents the production and sales of a certain crop in quintals by the Farmers F1, F2, F3, F4.

What is the average of a crop in quintals, sold by the all farmers?

A.

470

B.

490

C.

510

D.

530

Correct Answer is: B

Q. 98. If kx³ + 4x² + 3x - 4 and x³ - 4x + k leave the same remainder when divided by (x-3), then the value of k is

Select the correct answer

A.

2

B.

-1

C.

1

D.

0

Correct Answer is: B

Q. 99. The value of 8 - [8-(5 + 8) - {8 - (8 - (8 - 5 + 8)} + 10] is

Select the correct answer

A.

5

B.

20

C.

0

D.

10

Correct Answer is: C

Q. 100. A pair of tangents AB and AC are drawn from a point which is at a distance of 10 cm from the centre O of a circle of radius 6 cm, then the area (in cm²) of quadrilateral ABOC is

Select the correct answer

A.

52

B.

72

C.

60

D.

48

Correct Answer is: C

Q. 101.

Find the value of given question-

cos230° - sin230°sin215° + cos215°

Select the correct answer

A.

12

B.

1

C.

1-3

D.

0

Correct Answer is: A

Q. 102.

Rita's income is 15% less than Richa's income. By what percent in Richa's income more than Rita's income?

Select the correct answer

A.

151117%

B.

171117%

C.

161117%

D.

141117%

Correct Answer is: B

Q. 103.

if secθ - tanθ = 3, then cosθ is equal to

Select the correct answer

A.

37

B.

25

C.

35

D.

49

Correct Answer is: C

Q. 104.

Observe the following bar graph carefully and answer the following questions.

The birth rate of Country C is approximately what percentage of the birth rate of Country E?

A.

70%

B.

65%

C.

75%

D.

60%

Correct Answer is: D

Q. 105. In the figure, 'G' is the centre of the circle, Find the ∠ACB when ∠AGB = 150°

Select the correct answer

A.

50°

B.

60°

C.

65°

D.

75°

Correct Answer is: D

Q. 106.

The ratio of the areas of two squares is 16 : 1. Find the ratio between their perimeters.

Select the correct answer

A.

8 : 1

B.

3 : 1

C.

4 : 1

D.

12 : 1

Correct Answer is: C

Q. 107. Read the following question carefully and answer it.

Select the correct answer

A.

222

B.

221

C.

223

D.

244

Correct Answer is: B

Q. 108. In the given bar graph the white bar shows the income and the black company. Study the grah and answer the qrestion that follows.

The income in 2001 was equal to the expenditure in the year

A.

2002

B.

2003

C.

2000

D.

2004

Correct Answer is: D

Q. 109. If 2a + 3b = 8 and ab = 5, then find the value of 4a² + 9b².

Select the correct answer

A.

2

B.

4

C.

8

D.

6

Correct Answer is: B

Q. 110.

In the given bar graph the white bar shows the income and the black bar shows the expenditure of a company. Study the graph and answer the question that follows.

The income in 2000 was how much percent more than that of expenditure?

A.

3313%

B.

3513%

C.

3613%

D.

3413%

Correct Answer is: A

Q. 111. A man sold his furniture at a 25% gain. Had he sold it at 15% loss, he would have received ₹800 less. Find the cost price of the furniture.

Select the correct answer

A.

₹2500

B.

₹1500

C.

₹2000

D.

₹3000

Correct Answer is: C

Q. 112. The fourth proportional to 10, 12, 15 is

Select the correct answer

A.

24

B.

22

C.

18

D.

20

Correct Answer is: C

Q. 113. Which of the following numbers is divisible by 3?

Select the correct answer

A.

8703572

B.

8703541

C.

8703593

D.

8765001

Correct Answer is: D

Q. 114.

If tan²x - sec²x + 3 = 0, then the value of x (0° x 90°) is.

Select the correct answer

A.

60°

B.

C.

30°

D.

45°

Correct Answer is: B

Q. 115. If x + y = 15 and xy = 14, then the value of x - y is

Select the correct answer

A.

11

B.

12

C.

14

D.

13

Correct Answer is: D

Q. 116. Given that the mean of five numbers is 28. If one of them is excluded , the mean gets reduced by 5. Determine the excluded number.

Select the correct answer

A.

46

B.

48

C.

47

D.

45

Correct Answer is: B

Q. 117.

A blanket is sold for ₹680 at the discounts of 15% and 20%. Find the printed price of the blanket.

Select the correct answer

A.

₹800

B.

₹950

C.

₹900

D.

₹1000

Correct Answer is: D

Q. 118. The area of the largest triangle that can be inscribed in a semi-circle of radius 4 cm (in cm²)

Select the correct answer

A.

16 cm²

B.

14 cm²

C.

12 cm²

D.

18 cm²

Correct Answer is: A

Q. 119. In ∆XYZ, if G is the centroid and XL is the medians with length 18 cm, then the length of XG is

Select the correct answer

A.

14 cm

B.

16 cm

C.

12 cm

D.

10 cm

Correct Answer is: C

Q. 120. Rakesh walking at the speed of 8 km/h crosses a bridge in 30 min. What is the length of the bridge (in km)?

Select the correct answer

A.

4 km

B.

2 km

C.

3 km

D.

5 km

Correct Answer is: A

Q. 121. In how many years will a sum of ₹5000 yield a simple interest of ₹2000 at an interest rate of 10% p.a?

Select the correct answer

A.

5 yr

B.

3 yr

C.

4 yr

D.

6 yr

Correct Answer is: C

Q. 122. In the given figure XYZ is a secant and ZT is a tangent. What is the value of x?

Select the correct answer

A.

9

B.

5

C.

8

D.

7

Correct Answer is: B

Q. 123. How many men will be required to plough 50 acres of land in 10 days. If 15 men required 6 days to plough 10 acres of land?

Select the correct answer

A.

45

B.

40

C.

55

D.

50

Correct Answer is: A

Q. 124.

In the given bar graph , the white bar shows the income and the black bar shows th expenditure of company (in ₹ lakhs). Study the graph and answer the question that follows.

Select the correct answer

A.

18%

B.

2413%

C.

1623 %

D.

22%

Correct Answer is: C

Q. 125. If a = 355, b = 356, c = 357, then find the value of a³ + b³ + c³ - 3abc

Select the correct answer

A.

3208

B.

3202

C.

3206

D.

3204

Correct Answer is: D

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