SSC Mathematics Topic Wise Solved Papers – Simplification and Square & Cube Root
Contents
SSC Mathematics Previous Year Question Papers English Reasoning General Awareness
1.
2. The sum of the series
3.
4. The square root of 0.09 is (SSC CGL 1st Sit. 2010)
(a) 0.30 (b) 0.03
(c) 0.81 (d) 0.081
5.
6.
By what least number should 675 be multiplied so as to obtain a perfect cube number ? (SSC CGL 2nd Sit. 2010)
(a) 3 (b) 5
(c) 24 (d) 40
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
Out of six consecutive natural numbers, if the sum of first three is 27, what is the sum of the other three ? (SSC CGL 2nd Sit. 2010)
(a) 36 (b) 35
(c) 25 (d) 24
19.
20.
21.
22.
23.
24.
25.
26.
27.
If the sum of two numbers be multiplied by each number separately, the products so obtained are 247 and 114. The sum of the numbers is (SSC CGL 2nd Sit. 2011)
(a) 19 (b) 20
(c) 21 (d) 23
28. Find a number, one-seventh of which exceeds its eleventh part by 100. (SSC CGL 2nd Sit. 2011)
(a) 1925 (b) 1825
(c) 1540 (d) 1340
29.
30.
31.
32.
A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been (SSC CGL 2nd Sit. 2011)
(a) 124 (b) 122
(c) 118 (d) 114
33.
Last year my age was a perfect square number. Next year it will be a cubic number. What is my present age? (SSC Sub. Ins. 2012)
(a) 25 years (b) 27 years
(c) 26 years (d) 24 years
34.
35.
36.
37.
38.
From 9.00 AM to 2.00 PM, the temperature rose at a constant rate from 21°C to 36°C. What was the temperature at noon ? (SSC CHSL 2012)
(a) 27°C (b) 30°C
(c) 32°C (d) 28.5°C
39.
40.
41.
42.
A farmer divides his herd of n cows among his four sons, so that the first son gets one-half the herd, the second one fourth, the third son 1/5 and the fourth son 7 cows. Then the value of n is (SSC CGL 2012)
(a) 240 (b) 100
(c) 180 (d) 140
43.
By what least number should 675 be multiplied to obtain a number which is a perfect cube? (SSC CGL 2012)
(a) 7 (b) 8
(c) 5 (d) 6
44.
45.
46.
47.
If 21 is added to a number, it becomes 7 less than thrice of the number. Then the number is (SSC CGL 2012)
(a) 14 (b) 16
(c) 18 (d) 19
48.
49.
50.
51.
52.
53.
54.
55.
56.
If a number is as much greater than 31 as it is less than 75, then the number is (SSC CGL 1st Sit. 20130)
(a) 53 (b) 106
(c) 44 (d) 74
57.
58.
Number of digits in the square root of 62478076 is: (SSC CGL 2013)
(a) 3 (b) 4
(c) 5 (d) 6
59.
60.
61.
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction. (SSC CGL 2013)
62.
63.
64.
The smallest positive integer which when multiplied by 392, gives a perfect square is (SSC CGL 2nd Sit. 2013)
(a) 2 (b) 3
(c) 5 (d) 7
65.
The fourth root of 24010000 is (SSC CGL 2nd Sit. 2013)
(a) 7 (b) 49
(c) 490 (d) 70
66.
The greatest 4 digit member which is a perfect square, is (SSC CGL 2nd Sit. 2013)
(a) 9999 (b) 9909
(c) 9801 (d) 9081
67.
68.
Which one of the following is the minimum value of the sum of two integers whose product is 24? (SSC CGL 2nd Sit. 2013)
(a) 25 (b) 11
(c) 8 (d) 10
69.
70.
71.
72.
73.
74.
75.
Ram left 1/3 of his property to his widow and 3/5 of the remainder to his daughter. He gave the rest to his son who received ? 6,400. How much was his original property worth? (SSC CHSL 2014)
(a) ₹ 16,000 (b) ₹ 32,000
(c) ₹ 24,000 (d) ₹ 1,600
76.
Which on of the following is true? (SSC CHSL 2014)
77.
Arrange the following in ascending order 334, 251, 717, we get (SSC CGL 1st Sit. 2014)
(a) 334 > 251 > 717 (b) 717>251 >334
(c) 334 >717>251 (d) 251 > 334> 717
78.
2km 5m is equal to: (SSC Sub. Ins. 2015)
(a) 2.005 km (b) 2.0005 km
(c) 2.5 km (d) 2.05 km
79.
The simplified value of
80.
81.
82.
The simplified value of following is:
83.
In an exam the sum of the scores of A and B is 120, that of B and C is 130 and that of C and A is 140. Then the score of C is: (SSC CHSL 2015)
(a) 65 (b) 60
(c) 70 (d) 75
84.
The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 & 7 are subtracted from the 3rd & 4th, the numbers will be equal. The numbers are (SSC CGL 1st Sit. 2015)
(a) 4,12,12,20 (b) 5,11,13,19
(c) 6,10,14,18 (d) 9,7,15,17
85.
86.
Choose the incorrect relation(s) from the following:
87.
88.
89.
90.
91.
92.
93.
94.
95.
Hints & Solutions
1. (c)
2. (a)
3. (b)
4. (a)
5. (c)
6. (b)
7. (a)
8. (b)
9. (a)
10. (b)
11. (b)
12. (a)
13. (c)
14. (d)
15. (b)
16. (c)
17. (d)
18. (a)
19. (d)
20. (b)
21. (a)
22. (a)
23. (b)
24. (b)
25. (b)
26. (b)
27. (a)
28. (a)
29. (d)
30. (a)
31. (b)
32. (b)
33.
(c) By going options, 26 years is the present age. Present age be 26, then last year age was 25 which represents a perfect square and next year age would be 27 which represents a cubic number.
34. (a)
35. (b)
36. (d)
37. (a)
38. (b)
39. (a)
40. (a)
41. (b)
42. (d)
43. (c)
44. (d)
45. (c)
46. (b)
47. (a)
48. (c)
49. (b)
50. (c)
51. (c)
52. (d)
53. (d)
54. (d)
55. (b)
56. (a)
57. (d)
58. (b)
When no. of digit in a no. is 7 or 8 then in square root will be 4.
59. (b)
60. (d)
61. (d)
62. (d)
63. (b)
64. (a)
65. (d)
66. (c)
67. (a)
68. (d)
Product of 2 no is =24
possible pair of factor =(1,24) (2,12)(3,8) (4,6)
i,e.,4+6 is minimum = 10
69. (d)
70. (b)
71. (b)
72. (d)
73. (a)
74. (d)
75. (c)
76. (a)
77. (b)
78. (a)
79. (d)
80. (c)
81. (c)
82. (c)
83. (d)
84. (c)
85. (c)
86. (c)
By squaring the given relations, we get (i) and (iii) are incorrect relations from the given statement.
87. (d)
88. (d)
89. (d)
90. (d)
91. (c)
92. (a)
93. (b) Here,
94. (b)
95. (b) According to question.
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