SSC CGL

Q. 1.

A, B, and C can work together for Rs. 550. A and B together are to do711 the work. The share of C should be?

Select the correct answer

A.

Rs. 200

B.

Rs. 300

C.

Rs. 400

D.

Rs. 450

Correct Answer is: A

Q. 2. In triangle ABC, the height CD intersects AB at D. The midpoints of AB and BC are P and Q respectively. If AD = 8 cm and CD = 6 cm, then the length of PQ is?

Select the correct answer

A.

3 cm

B.

7 cm

C.

9 cm

D.

5 cm

Correct Answer is: D

Q. 3. The price of a chair is Rs. 500. It has been sold at two succesive discounts of 10% each. What is its selling price?

Select the correct answer

A.

Rs. 400

B.

Rs. 405

C.

Rs. 415

D.

Rs. 425

Correct Answer is: B

Q. 4. The percent profit made when an article is sold for Rs. 78 is twice as much as when it is sold for Rs. 69, the cost price of the article is?

Select the correct answer

A.

Rs. 60

B.

Rs. 51

C.

Rs. 55.50

D.

Rs. 70

Correct Answer is: A

Q. 5.

In a Village panchayat society, 574 names are enlisted as 'below poverty level'. If 14% of the villagers are below the poverty level, what is the total number of villagers?

Select the correct answer

A.

4100

B.

4200

C.

4000

D.

3800

Correct Answer is: A

Q. 6. A train 240 meters in length crosses a telegraph post in 16 seconds. The speed of the train is?

Select the correct answer

A.

50 Km/hr

B.

52 Km/hr

C.

54 Km/hr

D.

56 Km/hr

Correct Answer is: C

Q. 7. Read the given question carefully and answer the qestion.

Select the correct answer

A.

0

B.

1

C.

-1

D.

2

Correct Answer is: C

Q. 8.

Read the given question carefully and answer the question.

Select the correct answer

A.

18

B.

12

C.

14

D.

4

Correct Answer is: A

Q. 9. From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

Select the correct answer

A.

36°

B.

72°

C.

108°

D.

144°

Correct Answer is: C

Q. 10. Length of three line segments is given. Is construction of a triangle possible with the segments in the given cases?

Select the correct answer

A.

8 cm, 7 cm, 18 cm

B.

8 cm, 15 cm, 17cm

C.

10 cm, 6 cm, 4 cm

D.

8 cm, 10 cm, 20 cm

Correct Answer is: B

Q. 11.

Read the following question carefully and answer the question.

                                             If sinθ+cosecθ=2, then the value of sin7θ+cosec7θ is

A.

1

B.

3

C.

2

D.

0

Correct Answer is: C

Q. 12. A man has some hens and some cows. If the total number of heads of hens and cows together is 50 and the number of feet of hens and cows together is 142, then the number of cows is

Select the correct answer

A.

21

B.

25

C.

27

D.

29

Correct Answer is: A

Q. 13.

In a class, average height of all students is 'a' cms. Among them, average height of 10 students is 'b' cms and the average height of the remaining students is 'c' cms. Find the number of students in the class. (Here a>c and b>c )

Select the correct answer

A.

a(b-c)(a-c)

B.

(b-c)(a-c)

C.

(b-c)10(a-c)

D.

10(b-c)(a-c)

Correct Answer is: D

Q. 14. The simplified value of the given question is-

Select the correct answer

A.

0

B.

1

C.

5

D.

6

Correct Answer is: A

Q. 15. Read the following question carefully and answer the question.

Select the correct answer

A.

7

B.

6

C.

3.5

D.

2.5

Correct Answer is: C

Q. 16.

Two circles of radii 17 cm and 8 cm are concentric. The length of a chord of the greater circle which touches the smaller circle is

Select the correct answer

A.

15 cm

B.

16 cm

C.

30 cm

D.

34 cm

Correct Answer is: C

Q. 17. The least six digit number which is a perfect square is

Select the correct answer

A.

100489

B.

100000

C.

100256

D.

100225

Correct Answer is: A

Q. 18.

The percentage change of a number when it is first decreased by 10% and then increased by 10% is

Select the correct answer

A.

0.1% increase

B.

1% decrease

C.

0.1% decrease

D.

no changes

Correct Answer is: B

Q. 19.

Find the angular elevation of the sum when the shadow of the long pole is153 metres

Select the correct answer

A.

45°

B.

60°

C.

30°

D.

90°

Correct Answer is: B

Q. 20. Read the following question carefully and answer the question.

Select the correct answer

A.

4

B.

1

C.

2

D.

5

Correct Answer is: A

Q. 21. The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. The rate of interest per annum is?

Select the correct answer

A.

6%

B.

7%

C.

8%

D.

9%

Correct Answer is: C

Q. 22.

In the given Pie-chart, the comparative study of the production of Rice, Wheat, Sugar, and Tea in a country is given. Study the Pie-Chart and answer the following

From this diagram, the ratio of the sum of wheat and sugar production to the difference in the production of rice and tea is

A.

4 : 5

B.

5 : 4

C.

6 : 1

D.

1 : 6

Correct Answer is: A

Q. 23.

In the given Pie-chart, the comparative study of the production of Rice, Wheat, Sugar, and Tea in a country is given. Study the Pie-Chart and answer the following

The production of rice and tea is more/greater than production of wheat by

A.

50%

B.

100%

C.

75%

D.

66.60%

Correct Answer is: B

Q. 24.

In the given Pie-chart, the comparative study of the production of Rice, Wheat, Sugar, and Tea in a country is given. Study the Pie-Chart and answer the following

The Central angle of Wheat % is

A.

48°

B.

98°

C.

110°

D.

108°

Correct Answer is: D

Q. 25.

In the given Pie-chart, the comparative study of the production of Rice, Wheat, Sugar, and Tea in a country is given. Study the Pie-Chart and answer the following

The total production of Rice, Wheat, sugar, and Tea (In Kgs) is 500000 Kgs. The production of Rice in the country is

A.

175000 KG

B.

395000 KG

C.

275000 KG

D.

27500 KG

Correct Answer is: C

Q. 26. A canteen requires 56 kgs of rice for seven days . The quantity of rice required for the months of April and May together is

Select the correct answer

A.

468 kg

B.

488 kg

C.

498 kg

D.

508 kg

Correct Answer is: B

Q. 27. A shopkeeper earns a profit of 15% after selling a book at 20% discount on the printed price . The ratio of the cost price and printed price of the book is

Select the correct answer

A.

20:23

B.

23:20

C.

16:23

D.

23:16

Correct Answer is: C

Q. 28.

A car travels 80 km in 2 hours and a train travels 180 km in 3 hours. The ratio of speed of the car to the train is

Select the correct answer

A.

2:3

B.

3:2

C.

3:4

D.

4:3

Correct Answer is: A

Q. 29. A shopkeeper offers 2.5% discount on cash purchases . What cash amount would Rohit pay for a cycle, the marked price of which is Rs 3600?

Select the correct answer

A.

Rs. 3490

B.

Rs. 3500

C.

Rs. 3510

D.

Rs. 3520

Correct Answer is: C

Q. 30.

Due to a price hike of 20%, 4 kg less sugar is available for Rs 120. What is the initial price per kg of sugar?

Select the correct answer

A.

Rs. 5 

B.

Rs. 4

C.

Rs. 6

D.

Rs. 5.5

Correct Answer is: A

Q. 31. A man walks 1 km on 1st day , 2 km on 2nd day , 3 km on 3rd day and so on . The total distance the man covers in 10 days is

Select the correct answer

A.

40 km

B.

50 Km

C.

55 Km

D.

58 Km

Correct Answer is: C

Q. 32. The rate of simple interest for which a sum of money becomes 5 times in 8 years is

Select the correct answer

A.

30%

B.

40%

C.

50%

D.

55%

Correct Answer is: C

Q. 33. Read the following question carefully and answer the question.

Choose the correct answer

A.

69

B.

70

C.

71

D.

72

Correct Answer is: C

Q. 34. Read the following question carefully and answer the question.

Choose the correct answer

A.

2

B.

4

C.

6

D.

8

Correct Answer is: C

Q. 35.

T is a point on the common tangents at P of two circles and if TA and TB are respectively the other tangents at A and B to the two circles drawn from the point T then

Choose the correct answer

A.

TA = 2 TB

B.

TA = TB

C.

TA =12 TB

D.

3TA = TB

Correct Answer is: B

Q. 36. In a triangle XYZ , which of the following conditions is true

Choose the correct answer

A.

XY - YZ > ZX

B.

XY + YZ < ZX

C.

XY - YZ < XZ

D.

XY + ZX < YZ

Correct Answer is: C

Q. 37.

If (3x - 20) = cos (3y + 20), then find the value of (x + y).

Choose the correct answer

A.

90°

B.

60°

C.

120°

D.

30°

Correct Answer is: D

Q. 38.

If 12 is added to a number and the sum is multipled by 3, the result is 21. Then the number is

Choose the correct answer

A.

6.5

B.

5.5

C.

4.5

D.

7.5

Correct Answer is: A

Q. 39.

The average temperature for Monday, Tuesday, Wednesday and Thursday was 48°. The average temperature for Tuesday, Wednesday, Thursday, and Friday was 52°, If the temperature on Monday was 42°, then the temperature on Friday was (in degrees).

Choose the correct answer

A.

58°

B.

56°

C.

52°

D.

50°

Correct Answer is: A

Q. 40.

Read the following question carefully and answer the question.

If p=9, q=17 then the value of p2-q2-13 is equal to

A.

1856

B.

1658

C.

1586

D.

1568

Correct Answer is: D

Q. 41.

If angles of measure (5y + 62°) and (22° + y) are supplementary, then value of y is

Choose the correct answer

A.

16°

B.

32°

C.

8°

D.

1°

Correct Answer is: B

Q. 42.

From the circumcentre I of the triangle ABC, perpendicular ID is drawn on BC. If angle BAC 60° then the value of angle BID is

Choose the correct answer

A.

60°

B.

80°

C.

75°

D.

45°

Correct Answer is: A

Q. 43.

Read the following question carefully and answer it.

                               cosαcosβ=m and cosαsinβ=n, then the value of m2+n2cos2β is equal to

Choose the correct answer

A.

m2

B.

n2

C.

mn2

D.

1

Correct Answer is: B

Q. 44. The ratio of the weights of two spheres is 8 : 27 and the ratio of weights per 1 cc of materials of two is 8 : 1 . The ratio of the radii of the spheres is

Choose the correct answer

A.

2 : 3

B.

1 : 3

C.

3 : 1

D.

3 : 2

Correct Answer is: B

Q. 45.

On the ground, there is a vertical tower with a flagpole on its top. At a point 9 m away from the foot of the tower, the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively. The height of the flagpole is

A.

53m

B.

63m

C.

52m

D.

65m

Correct Answer is: B

Q. 46.

Shown below is the multiple bar diagram depicting the changes in the student strength of a college in four faculties from 1990 - 91 to 1992 - 93. (scale 1 cm = 100)

A regular decrease in student's strength was in the faculty of

A.

Arts

B.

Science

C.

Commerce

D.

Law

Correct Answer is: A

Q. 47. Shown below is the multiple bar diagram depicting the changes in the students strength of a college in four faculties from 1990 - 91 to 1992 - 93. (scale 1 cm = 100)

How much percent was the increase in science students in 1992 - 93 over 1990 - 91 ?

A.

50%

B.

150%

C.

66%

D.

75%

Correct Answer is: A

Q. 48. Shown below is the multiple bar diagram depicting the changes in the students strength of a college in four faculties from 1990 - 91 to 1992 - 93. (scale 1 cm = 100)

Ratio of the number of commerce students to the number of law students from 1990 - 91 to 1992 - 93 is

A.

6 : 7

B.

7 : 6

C.

14 : 1

D.

2 : 8

Correct Answer is: B

Q. 49. Shown below is the multiple bar diagram depicting the changes in the students strength of a college in four faculties from 1990 - 91 to 1992 - 93. (scale 1 cm = 100)

During which year the strength of arts faculty was minimum ?

A.

1990-91

B.

1991-92

C.

1992-93

D.

1993-94

Correct Answer is: C

Q. 50. Ram and Hari can cut 12 kgs nuts in 2 days. After 5 days, Hari left the work. Ram took 8 more days to cut the rest of the nuts. If total of 58 kgs of nuts were cut, the time taken by Hari to cut 10 kg of nuts is

Choose the correct answer

A.

1 day

B.

2 day

C.

3 day

D.

4 day

Correct Answer is: D

Q. 51. A trader marks his goods in such a way that after allowing a discount of 10% he gains 15%. If an article costs him Rs. 720, his marked price is

Choose the correct answer

A.

Rs. 920

B.

Rs. 900

C.

Rs. 820

D.

Rs. 950

Correct Answer is: A

Q. 52.

If a certain amount is fully distributed among A, B & C in such a way that A receives 12 of the amount, B receives 13 of the amount and C receives Rs.1200, then how much money would A receive?

Choose the correct answer

A.

4000

B.

1600

C.

3600

D.

1800

Correct Answer is: C

Q. 53.

The selling price of an article is 85that of its cost price. Then the gain percentage is

Choose the correct answer

A.

20%

B.

28%

C.

60%

D.

68%

Correct Answer is: C

Q. 54.

If the salary of Manoj is 40% less than that of Subhash, then by how much percentage is the salary of Subhash more than that of Manoj?

Choose the correct answer

A.

60%

B.

66 14%

C.

66 23%

D.

65%

Correct Answer is: C

Q. 55.

A passenger train running at the speed of 80 km/hr leaves the railway station 6 hours after a goods train leaves and overtakes it in 4 hours. What is the speed of the goods train?

Choose the correct answer

A.

32 km/hr

B.

50 km/hr

C.

45 km/hr

D.

64 km/hr

Correct Answer is: A

Q. 56. How much simple interest will Rs. 4000 earn in 18 months at 12% per annum?

Choose the correct answer

A.

Rs. 216

B.

Rs. 360

C.

Rs. 720

D.

Rs. 960

Correct Answer is: C

Q. 57.

If a+1a=2, then the value of a5+1a5=?

Choose the correct answer

A.

0

B.

1

C.

3

D.

2

Correct Answer is: D

Q. 58.

The value of

 2+32-3-432 is

Choose the correct answer

A.

36

B.

363

C.

49

D.

49 + 3

Correct Answer is: C

Q. 59. The mid points of AB and AC of the triangle ABC are P and Q respectively. If PQ = 6 cm, then the side BC is

Choose the correct answer

A.

10 cm

B.

12 cm

C.

8 cm

D.

14 cm

Correct Answer is: B

Q. 60.

The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5: 3: 10 is

Choose the correct answer

A.

20°

B.

30°

C.

50°

D.

70°

Correct Answer is: D

Q. 61.

If sinθ=32, 0°<θ<90° then find the value of tanθ-15°

Choose the correct answer

A.

1

B.

3

C.

13

D.

2

Correct Answer is: A

Q. 62. Find the greatest number that will divide 390, 495 and 300 without leaving a remainder

Choose the correct answer

A.

5

B.

15

C.

25

D.

35

Correct Answer is: B

Q. 63. The average age of 30 boys in a class is 10 years. If the age of their teacher is also included, the average increases by one year. The teacher's age in years is

Choose the correct answer

A.

38

B.

40

C.

30

D.

41

Correct Answer is: D

Q. 64.

Find the value of

1p-nn-q+1n-qq-p+1q-pp-n

Choose the correct answer

A.

1

B.

0

C.

p + q + n

D.

2np+q

Correct Answer is: B

Q. 65.

If a2b+c=b2c+a=c2a+bthen the value of 11+a+11+b+11+cis

Choose the correct answer

A.

1

B.

2

C.

3

D.

4

Correct Answer is: A

Q. 66.

If O is the centroid and AD, BE, and CF are the three medians of triangle ABC with an area of 96 cm2 then the area of BOD in cm2 is

Choose the correct answer

A.

8

B.

12

C.

16

D.

24

Correct Answer is: C

Q. 67. Two chords AB and PQ of a circle intersect at D inside a circle. If AD = 4 cm, DB = 6 cm, QD = 3 cm, the length of PQ is equal to

Choose the correct answer

A.

11 cm

B.

8 cm

C.

9 cm

D.

10 cm

Correct Answer is: A

Q. 68.

If cosecθ+sinθcosecθ-sinθ=53 then the value of sinθ is 

Choose the correct answer

A.

12

B.

12

C.

32

D.

1

Correct Answer is: A

Q. 69.

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is dipped into the water until it is completely immersed. The water level in the vessel will rise by

Choose the correct answer

A.

3.5 cm

B.

2.25 cm

C.

2 cm

D.

3.8 cm

Correct Answer is: B

Q. 70.

The angle of elevation of the top of a tower from two horizontal points (on opposite sides) at distances of 25 meters and 64 meters from the base of the tower are x and 90° - x respectively. The height of the tower will be

Choose the correct answer

A.

39 m

B.

89 m

C.

1.6 m

D.

40 m

Correct Answer is: D

Q. 71. The bar-chart is showing the number of accidents in a city during the first six month of a year. Examine the bar chart and answer the following questions-

What is the % of accidents in the month of April to the total accidents in the city ?

A.

15%

B.

20%

C.

22%

D.

24%

Correct Answer is: D

Q. 72. The bar-chart is showing the number of accidents in a city during the first six month of a year. Examine the bar chart and answer the following questions-

Compared to the month of January, what is the percentage of decrease in accidents in the month of February ?

A.

25

B.

24

C.

30

D.

27

Correct Answer is: B

Q. 73. The bar-chart is showing the number of accidents in a city during the first six month of a year. Examine the bar chart and answer the following questions-

By what number, is the number of accidents that occurred in April is greater than the average number of accidents that occurred during the 6 months period ?

A.

13.17

B.

8

C.

9

D.

11

Correct Answer is: A

Q. 74.

The bar-chart is showing the number of accidents in a city during the first six month of a year. Examine the bar chart and answer the following questions-

Percentage of decrease in the number of accidents from May to June is :

A.

15 47%

B.

27 37%

C.

22 67%

D.

18 57%

Correct Answer is: C

Q. 75.

A and B together can finish a work in 30 days. They worked for it for 20 days and then B left the work. The remaining work was done by A alone in 20 days more. In how many days can A alone finish the work?

Choose the correct answeer

A.

 48 days

B.

 50 days

C.

 54 days

D.

 60 days

Correct Answer is: D

Q. 76.

The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is

Choose the correct answeer

A.

3 cm

B.

23 cm

C.

32 cm

D.

22 cm

Correct Answer is: B

Q. 77.

A merchant changed his trade discount from 25% to 15%. This would increase selling price by

Choose the correct answeer

A.

313%

B.

616%

C.

1313%

D.

613%

Correct Answer is: C

Q. 78.

If 177 is divided into 3 parts in the ratio12:23:45, then the second part is

Choose the correct answeer

A.

75

B.

45

C.

72

D.

60

Correct Answer is: D

Q. 79.

If percentage of profit made, when an article is sold for Rs.78, is twice as when it is sold for Rs 69, the cost price of the article is

Choose the correct answeer

A.

 Rs.49

B.

Rs.51

C.

Rs.57

D.

Rs.60

Correct Answer is: D

Q. 80.

The ratio between Ram's age and Rahim's age is 10:11. What is the age of Rahim in the percentage of Ram's age?

Choose the correct answeer

A.

109 111%

B.

110%

C.

111 19%

D.

111%

Correct Answer is: B

Q. 81.

Gautam travels 160 kms at 32 kmph and returns at 40 kmph. Then average speed is

Choose the correct answeer

A.

 72 kmph

B.

71.11 kmph

C.

 36 kmph

D.

35.55 kmph

Correct Answer is: D

Q. 82.

If x=32 then find the value of 27x3-54x2+36x-11

Choose the correct answeer

A.

1138

B.

1158

C.

1238

D.

1258

Correct Answer is: D

Q. 83. If a + b + c = 6 and ab + bc + ca = 1, then the value of bc(b + c) + ca(c + a) +ab(a + b) + 3abc is

Choose the correct answeer

A.

33

B.

66

C.

55

D.

23

Correct Answer is: B

Q. 84.

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

Choose the correct answeer

A.

20°

B.

30°

C.

40°

D.

50°

Correct Answer is: C

Q. 85.

In triangle ABC, angle A=90°, AD Quardilator BC and AD = BD = 2 cm. The length of the CD is

Choose the correct answeer

A.

3 cm

B.

3.5 cm

C.

3.2 cm

D.

2 cm

Correct Answer is: D

Q. 86.

If tan45°=cotθ, then find the value of θ, in radians is

Choose the correct answeer

A.

π

B.

π9

C.

π4

D.

π12

Correct Answer is: B

Q. 87.

The average of 12 numbers is 9. If each number is multiplied by 2 and  3 is added to them, the average of the new set of numbers is

Choose the correct answeer

A.

9

B.

21

C.

27

D.

18

Correct Answer is: B

Q. 88.

Read the following question carefully and answer the question.

Choose the correct answeer

A.

127

B.

58

C.

124

D.

23

Correct Answer is: C

Q. 89.

Read the following question carefully and answer the question.

Choose the correct answeer

A.

1

B.

3

C.

0

D.

2

Correct Answer is: C

Q. 90.

Read the following question carefully and answer the question.

Choose the correct answeer

A.

45

B.

35

C.

85

D.

15

Correct Answer is: C

Q. 91. The perimeter of two similar triangles ABC and PQR are 36 cms and 24 cms respectively. If PQ = 10 cm then the length of AB is

Choose the correct answeer

A.

18 cm

B.

12 cm

C.

15 cm

D.

30 cm

Correct Answer is: C

Q. 92.

In a triangle ABC, AB = 8 cm, AC = 10 cm and angle B = 90°, then the area of triangle ABC is

Choose the correct answeer

A.

49 sq.cm

B.

36 sq.cm

C.

25 sq. cm

D.

24 sq.cm

Correct Answer is: D

Q. 93.

Read the following question carefully and answer the question.

Choose the correct answeer

A.

12

B.

0

C.

12

D.

32

Correct Answer is: C

Q. 94. The compound interest on Rs. 64,000 for 3 years, compounded annually at 7.5% p.a. is

Choose the correct answeer

A.

Rs. 14,400

B.

Rs. 15,705

C.

Rs. 15,507

D.

Rs. 15,075

Correct Answer is: C

Q. 95.

The angles of elevation of the top of a temple, from the foot and the top of a building 30 m high, are 60°and 30° respectively. Then the height of the temple

Choose the correct answeer

A.

50 m

B.

43 m

C.

40 m

D.

45 m

Correct Answer is: D

Q. 96.

Study the pie-chart given and answer the following questions.

If the miscellaneous charges are Rs. 6000, then the advertisement charges are

A.

Rs. 12000

B.

Rs. 27000

C.

Rs. 90000

D.

Rs. 25000

Correct Answer is: B

Q. 97.

Study the pie-chart given and answer the following questions.

The central angle of printing charge is x more than that of advertisement charge. Then the value of x is

A.

72?

B.

61.2?

C.

60?

D.

54.8?

Correct Answer is: B

Q. 98.

Study the pie-chart given and answer the following questions.

What should be the central angle of the sector 'cost of paper'?

A.

22.5?

B.

54.8?

C.

36?

D.

16?

Correct Answer is: C

Q. 99.

Study the pie-chart given and answer the following questions.

The ratio between royalty and binder's charges is

A.

5 : 6

B.

5 : 8

C.

6 : 5

D.

8 : 13

Correct Answer is: A

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