SSC Exam Maths

1. A reduction of 20% in the price of an apple enables a man to buy 10 apples more for Rs. 54. The reduced price of apple per dozen is

(A) Rs. 4.32 (B) Rs. 12.96 (C) Rs. 10.80 (D) Rs. 14.40 2. Price of a commodity has increased by 60%. By what per cent must a consumer

reduce the consumption of the commodity so as not to increase the expenditure? (A) 37 (B) 37.5 (C) 40.5 (D) 60

3. Walking 6/7th of his usual speed, a man is 12 min too late. The usual time taken by him to cover that distance is

(A) 1 hr (B) 1 hr 12 min (C) 1 hr 15 min (D) 1 hr 20 min

4. If the difference between S.I. and C.I. for 2 years on a sum of money lent at 5% is Rs. 6, then the sum is (A) Rs. 2200 (B) Rs. 2400 (C) Rs. 2600 (D) Rs. 2000

5. When 223 is divided by 10, the remainder will be

(A) 2 (B) 3 (C) 4 (D) 8

6. In a school there are 800 students out of whom 12 percent are girls. Each boy’s monthly fee is Rs. 220 & each girl’s monthly fee is Rs. 25 % less than a boy. What is the total monthly fee of girls & boys together in Rs.?

(A) 170720 (B) 130220 (C) 12320 (D) none of these

7. If tan A = 2/3 find the value of (3sin A + 4 cos A)/ (3sin A – 4 cosA) (A) -3 (B) - 4 (C) - 5 (D) none of these

8. sin21 + sin23 + sin25 + sin27 + ……… + sin289 = (A) 22.5 (B) 23 (C) 24 (D) 25

9. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is

(A) 0 (B) 1 (C) 2 (D) 3

10. What is the least number which, when divided by 4, 5, 6, 7, 8 gives the remainder 3 but is divisible by 9? (A) 1463 (B) 1573 (C) 1683 (D) 1793

11. If the radius of a circle is increased by 50%, its area is increased by

(A) 125% (B) 100% (C) 75% (D) 50% 12. A and B together can do a work in 10 days. B and C together can do the same

work in 6 days. A and C together can do the work in 12 days. Then A, B and C together can do the work in

(A) 28 days (B) 14 days (C) 40/7 days (D) 58/ 7 days

13. A bicycle wheel makes 5000 revolution in moving 11 km. The diameter of the wheel, in cm, is

(A) 35 (B) 55 (C) 65 (D) 70

14. Water is flowing at the rate of 3km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10m and depth 2 m. In how much time will the cistern be filled?

(A) 1 hr (B) 1 hr 40 min (C) 1 hr 20 min (D) 2 hrs 40 min

15. The single discount equal to three consecutive discounts of 10%, 12% and 5% is (A) 26.27% (B) 24.76% (C) 9% (D) 11%

16. An article is marked 40% above the cost price and discount of 30% is allowed.

What is the gain or loss percentage? (A) 10 % gain (B) 5% gain (C) 2% loss (D) 12% loss

17. The average age of 11 players of a cricket team is increased by 2 months when two of them aged 18 years and 20 years are replaced by two new players. The

average age of the new players is (A) 19 years 1 month (B) 19 years 6 month

(C) 19 years 11 month (D) 19 years 5 month 18. From a point P on a level ground, the angle of elevation of the top tower is 30º.

If the tower is 100 m high, the distance of point P from the foot of the tower is:

(A) 100 3 (B) 100/ 3 (C) 200 3 (D) 200/ 3

19. Walking at 5 km/hr a student reaches his school from his house 15 minutes early and walking at 3 km/hr he is late by 9 minutes. What is the distance between

his school and his house? (A) 5 km (B) 8 km (C) 3 km (D) 2 km

20. If 1720 is divided by 18, the remainder is (A) 1 (B) 2 (C) 16 (D) 17

21. If the cost price of 15 articles is equal to the selling price of 12 articles, find

gain % (A) 20% (B) 25% (C) 16 (D) 17

22. A man can row at the rate of 91

3 km/hr in still water and he finds that it takes

him thrice as much time to row up than as to row down the same distance in the river. The speed of water in kmph is? (A) 4 (B) 5 (C) 6 (D) none of these

23. A train overtakes two persons who are walking in the same direction in which

the train is going, at the rate of 2 km/hr and 4 km/hr and passes them completely in 9 and 10 seconds respectively. The length of the train (m) is (A) 40 (B) 50 (C) 60 (D) none of these

24. The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.?

(A) 8 (B) 12 (C) 24 (D) 35

25. A number when divided by 49 leaves 32 as remainder. This number when divided by 7 will have the remainder as (A) 4 (B) 3 (C) 2 (D) 5

26. The volume (in m3) of rain water that can be collected from 1.5 hectares of

ground in a rainfall of 5 cm is (A) 75 (B) 750 (C) 7500 (D) 75000

27. The part of a room is of size 4 m × 3 m and its height is 3 m. The walls and ceiling of the room require painting. The area to be painted is

(A) 66 m2 (B) 54 m2 (C) 43 m2 (D) 33 m2 28. The ratio of the volumes in water and glycerin in 240 cc of a mixture is 1: 3.

The quantity of water (in cc) that should be added to the mixture so that the new ratio of the volumes of water and glycerin becomes 2: 3 is

(A) 55 (B) 60 (C) 62.5 (D) 64

29. At what time between 4pm & 5pm, both hands of clock i.e. minute hand & hour

hand will coincide?

(A) 4: 219

11pm (B) 4: 22

9

11 pm (C) 4: 23

9

11 pm (D) none of these

30. If the sum of the interior angles of a regular polygon measures up to 1080

degrees, how many sides does the polygon have? (A) 10 (B) 8 (C) 12 (D) 9

31. What is angle between hour hand & minute hand at 8:30 pm? (A) 30 (B) 45 (C) 90 (D) none of these

32. The average age of a husband and wife was 27 years when they married 4 year

ago. The average age of the husband, wife & a new born child is 21 years now. The present age of the child is (A) 3.2 yr (B) 3 yr (C) 2 yr (D) 1 yr

33. The current of stream runs at 1kmph. A motor boat goes 35km upstream and

back again to the starting point in 12hours. The speed of the motor boat in still water is (A) 2kmph (B) 3kmph (C) 4kmph (D) 6kmph

34. If sin A + sin B + sin C + sin D = 4, what is the value of cos A + cos B + cos C

+ cos D? (A) 0 (B) 1 (C) 2 (D) 4

35. What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 5, 12 and 13?

(A) 6 (B) 4 (C) 24.5 (D) 6.5

36. The diagonals of a rhombus are 64 cm and 48 cm. The height of the rhombus is (A) 30.5 cm (B) 36.5 cm (C) 38.4 cm (D) 58.6cm

37. A 5 cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic

centimeter cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted? (A) 9 (B) 61 (C) 98 (D) 54

38. If HCF of two numbers is 13 and their product is 2028 then how many possible

solutions are there of these type of numbers? (A) 1 (B) 2 (C) 3 (D) 4

39. Two vessels contain milk and water mixed in the ratio of 2 : 3 and 3 : 4. Find the ratio in which these two are to be mixed to get a new mixture in which the ratio

of milk to water is 7 : 10. (A) 10:7 (B) 7:10 (C) 10:3 (D) 3:10

40. If sin A + cos B = x and cos A + sin B = y, then what is the value of sin A cos B + cos A sin B?

(A) x2 – y2 – 2 (B) x2 – y2 + 2 (C) (x2 + y2 – 2) /2 (D) (x2 – y2 – 2) /2

41. What is the value of (cosec A – sin A) (sec A – cos A) (tan A + cot A)? (A) 0 (B) 1 (C) 2 (D) 3

42. Consider the following: 1. cos6 A + sin6 A = 1 – 3 sin2 A cos2 A

2. cos4 A + sin4 A = 1 – 2 sin2 A cos2 A 3. cos4A – sin4A = 2cos2 A – 1 Which of the statements given above are correct?

(A) 1 and 2 (B) 2 and 3 (C) 1 and 3 (D) 1, 2 and 3

43. When two numbers are separately divided by 33, the remainders are 21 & 28 respectively. If the sum of the two numbers is divided by 33, the remainder will be (A) 10 (B) 12 (C) 14 (D) 16

44. Find the total number of factors of a number N = 2 212 13 14

(A) 64 (B) 192 (C) 108 (D) 16

45. How many prime factors are there in expressions N = 610× 717× 1127?

(A) 46 (B) 64 (C) 78 (D) none of these 46. How many zeroes are there in the end of 100!?

(A) 20 (B) 10 (C) 22 (D) 24

47. A bag contains rupee, 50p, 25p coins in the ratio 5 : 3 : 2. If the total amount is Rs.70. Find the total number of coins.

(A) 120 (B) 100 (C) 130 (D) 140

48. If (3a + 1)2 + (b – 1)2 + (4c + 3)2 = 0; then find the value of 3a + b + 4c =? (A) -2 (B) -3 (C) 4 (D) 5

49. 1

3 +

1

15 +

1

35+

1

63+

1

99 =?

(A) 10/11 (B) 5/11 (C) 9/11 (D) 7/11

50. If 4b2+ 1

𝑏2 = 2 then 8b3+

1

𝑏3 =?

(A) 1 (B) 0 (C) 12 (D) 11

1. B 2. B 3. B 4. B 5. D 6. A 7. A 8. A 9. C 10. C

11. A 12. C 13. D 14. B 15. B 16. C 17. C 18. A 19. C 20. A

21. B 22. D 23. B 24. D 25. A 26. B 27. B 28. B 29. A 30. B

31. D 32. D 33. D 34. D 35. D 36. C 37. D 38. B 39. A 40. C

41. D 42. A 43. D 44. C 45. B 46. D 47. B 48. B 49. B 50. B