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SSC CHSL (10+2) Exam Mock Test -4 "Arithmetic"

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1. The value of (256)0.16 × (256)0.09 is :

(a) 256.25
(b) 64
(c) 16
(d) 4

2. Simplify :

3.

4. 1 – [5 – {2 + (–5 + 6 – 2) 2}] is equal to :

(a) –4
(b) 2
(c) 0
(d) –2

5
.

(a) 1.64
(b) 2.64
(c) 1.764
(d) 0.1764

6

7.

(a) 6
(b) 10
(c) 14
(d) 16

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8. The square root of :

(a) 4
(b) 3
(c) 2
(d) 1

9. Find the value of

(a) 12
(b) 8
(c) 4
(d) –4

10. If 3x + 8 = 272x + 1, the value of x is :

11. is equal

12. If log102 = 0.3010 and log107 = 0.8451, then the value of log102.8 is :

(a) 0.4471
(b) 1.4471
(c) 2.4471
(d) 1.4471

13. Which of the following fractions is the smallest?

14. (49)15 – 1 is exactly divisible by:

(a) 50
(b) 51
(c) 29
(d) 8

15.

16.

17. The LCM of two numbers is 495 and their HCF is 5. If the sum of numbers is 100, then their difference is :

(a) 10
(b) 46
(c) 70
(d) 90

18. LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be :

(a) 5
(b) 25
(c) 45
(d) 225

19.

20. If we write 45 as sum of four numbers so that when 2 is added to first number, 2 subtracted from second number, third multiplied by 2 and fourth divided by 2, we get the same result, then the four numbers are:

(a) 1, 8, 15, 21
(b) 8, 12, 5, 20
(c) 8, 12, 10, 15
(d) 2, 12, 5, 26

21. Four numbers are in the ratio 1 : 2 : 3 : 4. Their sum is 16. The sum of the first and fourth number is equal to :

(a) 5
(b) 8
(c) 10
(d) 80

22.

(a) 25
(b) 35
(c) 45
(d) 60

23.

(a) 6
(b) 18
(c) 27
(d) 36

24. The sum of three consecutive odd natural numbers is 147. Then, the middle number is :

(a) 47
(b) 48
(c) 49
(d) 51

25. If 5432*2 is divisible by 9, then the digit in place of * is :

(a) 0
(b) 1
(c) 6
(d) 9

26. By which smallest number 1323 must be multiplied, so that it becomes a perfect cube?

(a) 2
(b) 3
(c) 5
(d) 7

27. The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case, is :

(a) 450
(b) 454
(c) 540
(d) 544

28.

29. Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12.00 O’clock. At what time will they again ring simultaneously ?

(a) 12 hrs. 2 min. 48 sec.
(b) 12 hrs. 3 min.
(c) 12 hrs. 3 min. 20 sec.
(d) 12 hrs. 3 min. 44 sec.

30.

(a) Rs. 5040
(b) Rs. 3520
(c) Rs. 4890
(d) Rs. 4458

31. A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?

(a) 6
(b) 3.5
(c) 8
(d) None of these

32. A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be:

(a) 10
(b) 5
(c) 4
(d) 2

33.

(a) 7.2
(b) 8.5
(c) 10
(d) 12

34. Which of the following is the biggest?

35. If 120 is 20% of a number, then 120% of that number will be:

(a) 20
(b) 120
(c) 480
(d) 720

36. If 8% of x is the same as 4% of y, then 20% of x is the same as:

(a) 10% of y
(b) 16% of y
(c) 80% of y
(d) 50% of y

37. If x is less than y by 25% then y exceed x by:

38
 

(a) 44%
(b) 34%
(c) 54%
(d) 64%

39.

(a) 2 : 3
(b) 3 : 2
(c) 3 : 4
(d) 4 : 3

40. The income of C is 20% more than B’s and the income of B is 25% more than A’s. Find by how much per cent is C’s income more than A’s?

(a) 150%
(b) 50%
(c) 25%
(d) 35%

41. In the given figure, AB || CD and EF || GH. Find the relation between a and b.

(a) 2a + b=180°
(b) a + b = 180°
(c) a – b = 180°
(d) a + 2b = 180°

42. In the given figure, if l || m, find the value of x in degree.

(a) 105°
(b) 100°
(c) 110°
(d) 115°

43
.
(a) 20°
(b) 30°
(c) 24°
(d) 32°

44. Find the equation of the line which cuts off equal and positive intercepts on the axes and their sum is 12.

(a) x – y = 12
(b) x + y = 6
(c) x – y = 6
(d) None of these

45. The equation of the line passing through (1, 2) and parallel to 3x + 4y + 7 = 0.

(a) 3x – 4y = 11
(b) 3x + 4y =11
(c) 3x + 4y = 0
(d) None of these

46. The equation of the straight line parallel to ax + by + c = 0 and passing through the origin is

(a) ax – by = 0
(b) –bx + ay = 0
(c) ax + by = 0
(d) None of these

47. The equation of a straight line passing through (1, 2) and perpendicular to the line 3x + 4y = 7 is

(a) 4x – 3y + 2 = 0
(b) 3x + 4y = 7
(c) 4x – 3y + 7 = 0
(d) None of these

48. Which of the following is a root of the polynomial f(x) = x3 – 2x2 – x + 2?

(a) x = –2
(b) x = 1
(c) x = 3
(d) x = –3

49. If x = 2 is a root of the polynomial f (x) = 5x3 – 3x2 + kx – 10, find the value of k.

(a) – 9
(b) 3
(c) 9
(d) – 3

50. If x = 1 and –1 are the roots of the polynomial f(x) = 22 + x2 – ax + b. Find the values of a and b.

(a) 2, – 2
(b) – 2, – 1
(c) 2, – 1
(d) 1, – 2
 

ANSWERS

1. (d) 2. (c) 3. (c) 4. (a) 5. (d) 6. (c) 7. (c) 8. (c) 9. (c) 10. (d) 11. (b) 12. (a) 13. (l) 14. (d) 15. (a) 16. (b) 17. (a) 18. (c) 19. (a) 20. (b) 21. (b) 22. (l) 23. (b) 24. (c) 25. (c) 26. (d) 27. (c) 28. (b) 29.(a) 30. (a) 31. (c) 32. (b) 33. (c) 34. (a) 35. (d) 36. (d) 37. (a) 38. (d) 39. (d) 40. (b) 41. (b) 42. (a) 43. (b) 44. (b) 45. (b) 46. (c) 47. (a) 48. (b) 49. (a) 50. (c)

 

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