SSC Reasoning Topic Wise Previous Year Solved Papers – Mathematical Operation and Arithmetical Reasoning
SSC Reasoning Previous Year Question Papers Mathematics English General Awareness
1. After interchanging = and +, 12 and 18, which one of the following equations becomes correct?
(SSC CGL 1st Sit. 2010)
(a) (90x 18)+18 = 60
(b) (18 + 6)-12 = 2
(c) (72-18)x 18 = 72
(d) (12 + 6)x 18 = 36
2. Find out the correct answer for the unsolved equation on the basis of the given equation
If 6 * 5 = 91
8 * 7 = 169
10 * 7 = 211
then 11 * 10 = ? (SSC CGL 1st Sit. 2010)
(a) 331
(b) 993
(c) 678
(d) 845
3. In the following question, Δ stands for any of the mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which when substituted makes the question. Select the choice with the correct sequence of signs which when substituted makes the question as a correct equation.
24 Δ 4 Δ 5 Δ 4 (SSC CGL 1st Sit. 2010)
(a) x + =
(b) = x +
(c) + x =
(d) = + x
4. Little wooden cubes each with a side of one inch are put together to form a solid cube with a side of three inches. This big cube is then painted red all over on the outside. When the big cube is broken up into the original little ones, how many cubes will have paint on two sides ?
(SSC CGL 1st Sit. 2010)
(a) 4
(b) 8
(c) 12
(d) 0
5. Ashok’s mother was 3 times as old as Ashok 5 years ago.
After 5 years she will be twice as old as Ashok How old is Ashok today ? (SSC CGL 1st Sit. 2010)
(a) 10 years
(b) 15 years
(c) 20 years
(d) 25 years
6. A bus leaves Delhi with half the number of women as men, At Meerut, ten men get down and five women get in. Now there are equal number of men and women. How many passengers boarded the bus initially at Delhi ?
(SSC CGL Ist Sit. 2010)
(a) 36
(b) 45
(c) 15
(d) 30
7. A bus left with some definite number of passengers. At the first stop, half the passengers left the bus and 35 boarded the bus. At the second stop – the of the passengers left and 40 boarded the bus. Then, the bus moved with 80 passengers towards its destination without stopping any where. How many passengers were there originally ?
(SSC CGL 2nd Sit. 2010)
(a) 25
(b) 30
(c) 40
(d) 50
8. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, what is the present age of the wife ? (SSC CGL 2nd Sit. 2010)
(a) 60 years
(b) 51 years
(c) 48 years
(d) 45 years
9. If 841 =3, 633 =5, 425 = 7 then 217 = ?
(SSC CGL 2nd Sit. 2010)
(a) 6
(b) 7
(c) 8
(d) 9
10. The following equations follow a common property. Find out the correct value to complete D :
A = 51 (714) 14:
B = 61 (915) 15:
C = 71 (1136)16:
D = 81 (?) 17 (SSC CGL 2nd Sit. 2010)
(a) (1377)
(b) (1378)
(c) (1356)
(d) (1346)
11. After interchanging ÷ and =, 2 and 3 which one of the following statements becomes correct ?
(SSC CGL 2nd Sit. 2010)
(a) 15 = 2÷ 3
(b) 5÷ 15 = 2
(c) 2=15÷ 3
(d) 3 = 2÷ 15
12. 25*2*6 = 4*11*0
Which set of symbols can replace * ?
(SSC CGL 2nd Sit. 2010)
(a) x,-x,+
(b) +,-, x,+
(c) x,+,x,-
(d) x,+,+,x
13. Find the missing number from the given responses:
(SSC CGL 2nd Sit. 2010)
(a) 4
(b) 5
(c) 3
(d) 6
14. Ravi has spent a quarter (1/4) of his life as a boy, one-fifth(1/5) as a youth, one-third (1/3) as man and thirteen (13) years in old age. What is his present age?
(SSC CGL 1st Sit. 2011)
(a) 70 years
(b) 80 years
(c) 60 years
(d) 65 years
15. Out of 100 families in the neighbourhood, 50 have radios, 75 have TVs and 25 have VCRs. Only 10 families have all three and each VCR owner also has a TV. If some families have radio only, how many have only TV?
(SSC CGL 1st Sit. 2011)
(a) 30
(b) 35
(c) 40
(d) 45
16. In a certain office, 1/3 of the workers are women, 1/2 of the women are married and – of the married women have children. If 1/3 of the men are married and 2/3 of the married men have children, then what part of workers are without children? (SSC CGL 1st Sit. 2011)
17. If ‘-‘ stands for ‘÷ ‘ ‘+’ stands for ‘x’, ‘÷’ for ‘-‘ and ‘x’ for’+’, which one of the following equations in correct?
(SSC CGL Ist Sit. 2011)
(a) 30 – 6 + 5 x 4 – 2 = 27
(b) 30 + 6 – 5 – 4 x 2 = 30
(c) 30 x 6 – 5 – 4 + 2 = 32
(d) 30 – 6 x 5 + 4 – 2 = 40
18. Some equations have been solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis. If 9 * 7 = 32, 13 * 7= 120, 17 * 9 = 208, then 19 *11=? (SSC CGL 1st Sit. 2011)
(a) 150
(b) 180
(c) 210
(d) 240
19. Forecast the Growth Rate for the year 1995 from the following data: (SSC CGL 1st Sit. 2011)
(a) 7.8
(b) 8.6
(c) 9.7
(d) 9.9
20. The population of rats is increasing year after year in a village.
Find out the missing population from the following information: (SSC CGL 2nd Sit. 2011)
Years 1990 1991 1992 1993 1994 1995
Population 4 8 16 ? 44 64
(a) 22
(b) 32
(c) 28
(d) 34
21. Shan is 55 years old, Sathian is 5 years junior to Shan and 6 years senior to Balan. The youngest brother of Balan is Devan and he is 7 years junior to him. So what is the age difference between Devan and Shan? (SSC CGL 2nd Sit. 2011)
(a) 18 years
(b) 15 years
(c) 13 years
(d) 7 years
22. There are 80 families in a small extension area. 20 per cent of these families own a car each. 50 per cent of the remaining families own a motor cycle each. How many families in that extension do not own any vehicle?(SSC CGL 2nd Sit. 2011)
(a) 30
(b) 32
(c) 23
(d) 36
23. Some equations have been solved on the basis of certain system. Find the correct answer for the unsolved equation on that basis. (SSC CGL 2nd Sit 2011)
If 94 + 16 = 42,89 + 23 = 78, then 63 + 45 = ?
(a) 18
(b) 28
(c) 38
(d) 48
24. Some relationships have been expressed through symbols which are explained below:
0 = greater than
Δ = not equal to
x = not less than
+ = equal to
∅ = not greater than
∇ = less than
a ∇ b ∇ c implies (SSC CGL 1st Sit. 2012)
(a) a Δ b ∅ c
(b) a ∅ b + c
(c) a 0 b + c
(d) a 0 b x c
25. If 54 + 43 =2,60 +51 = 10, then 62 + 72 = ?
(SSC CGL 1st Sit. 2012)
(a) 30
(b) 18
(c) 20
(d) 9
26. If L denotes x M denotes ÷ ; P denotes + ; Q denotes – then 16 P 24 M 8 Q 6 M 2 L 3 = ? (SSC CGL 1st Sit. 2012)
(a) 10
(b) 9
(c) 12
(d) 11
27. If 16 – 2 = 2, 9 – 3 = 0, 81 – 1=8, then what is 64 – 4?
(SSC CGL 1st Sit. 2012)
(a) 4
(b) 2
(c) 6
(d) 8
28. Volume of a sphere is equal to the volume of a hemisphere. If the radius of the hemisphere is 3 3√2 cm, then the radius of the sphere is equal to (SSC CGL 1st Sit. 2012)
(a) 9 3√2 cm
(b) 6 3√2 cm
(c) 27 cm
(d) 3 cm
29. If 64 ÷ 14 = 5, 92 ÷ 31 =7, 26 ÷ 11 =6, then 56 ÷ 22= ?
(SSC CGL 2nd Sit. 2012)
(a) 11
(b) 39
(c) 7
(d) 36
30. If P denotes ÷ , Q denotes x, R denotes +, and S denotes -, then, 18 Q 12 P 4 R 5 S 6=? (SSC CGL 2nd Sit.2012)
(a) 95
(b) 53
(c) 51
(d) 57
31. If 25 ÷ 5 = 15, 30 ÷ 6 = 20, then 35 ÷ 7 =_?_
(SSC CGL 2nd Sit. 2012)
(a) 75
(b) 20
(c) 50
(d) 25
32. If 33 +45 = 30, 90+ 26 = 40, then 30+ 45= ?
(SSC CGL 2nd Sit. 2012)
(a) 15
(b) 14
(c) 16
(d) 18
33. The average age of 25 sub-oridinates in an office is 30 years. If the age of Manager is added, the average increases to 31 years. What is the age of the Manager?
(SSC CGL 1st Sit. 2012)
(a) 26
(b) 36
(c) 46
(d) 56
34. Class A has students twice that of class B. After adding 20 students to class A and 30 students to class B, the total number of students in both the classes is 140. What is the number of students in class A in the beginning?
(SSC CGL 1st Sit. 2012)
(a) 30
(b) 60
(c) 80
(d) 140
35. Find the lowest number which when divided by 8, 12, 15 and 20 leaves the remainder 2. (SSC CGL 1st Sit. 2012)
(a) 360
(b) 242
(c) 122
(d) 82
36. If 38+15 = 66 and 29 + 36 = 99,then 82 + 44=?
(SSC CGL 1st Sit. 2012)
(a) 77
(b) 88
(c) 80
(d) 94
37. If ÷ means +, – means x, x means +, ÷ means – give the value for 45 + 9 – 3 x 15 ÷ 2 (SSC CGL 1st Sit. 2012)
(a) 40
(b) 36
(c) 56
(d) 28
38. From the given details, estimate the number of people affected by Tuberculosis in particular locality in the year 1994. (SSC CGL 1st Sit. 2012)
1994 1995 1996 1997 1998
? 92 113 141 176
(a) 99
(b) 85
(c) 71
(d) 78
39. A boy’s age is one fourth of his father’s age. The sum of the boy’s age and his father’s age is 35. What will be father’s age after 8 years? (SSC CGL 2nd Sit. 2012)
(a) 15
(b) 28
(c) 35
(d) 36
40. If + means ÷ , – means x, x means +, ÷ means -, then 90 + 18 – 6 x 30 ÷ 4 = ? (SSC CGL 2nd Sit. 2012)
(a) 64
(b) 65
(c) 56
(d) 48
41. If 73+46 = 42 and 95+ 87 = 57, then 62 + 80 = ?
(SSC CGL 2nd Sit. 2012)
(a) 32
(b) 48
(c) 64
(d) 36
42. Based on the given data, estimate the number of ‘Television – buyers’ for the year 1990. (SSC CGL 2nd Sit. 2012)
1982 1984 1986 1988 1990
447 458 489 540 ?
(a) 611
(b) 591
(c) 571
(d) 601
43. A car travels 20 miles in the same time as another car, travelling 20 MPH faster, covers 30 miles. How long does the journey take? (SSC Sub. Ins. 2012)
(a) 31 minutes
(b) 29 minutes
(c) 30 minutes
(d) 28 minutes
44. Complete the third equation on the basis of a certain system followed in the first two equations.
1. 1 x 8x 5 x 3 x7 = 73581
2. 5 x 7 x 6 x 2 x 4 = 42675
3. 9 x 4 x 3 x 2 x 8 = ? (SSC Sub. Ins. 2012)
(a) 83924
(b) 82349
(c) 28394
(d) 28934
45. If 64 + 53 = 4,86 + 42 = 4, then
83 + 72 = ? (SSC Sub. Ins. 2012)
(a) 12
(b) 10
(c) 15
(d) 18
46. If Q means add to, J means multiply by, T means subtract from, K means divided by, then
30 K 2 Q 3 J 6 T 5 = ? (SSC Sub. Ins. 2012)
(a) 18
(b) 28
(c) 31
(d) 103
47. If l means ‘x’, You means ‘÷’, We means and He means ‘+’, then what will be the value of 8112 He 16 You 2 We 10?
(SSC Sub. Ins. 2012)
(a) 45
(b) 94
(c) 96
(d) 112
48. At present, the ratio between the ages of Arun and Deepak is 4: 3. After 6 years, Arun’s age will be 26 years. What is the age of Deepak at present? (SSC Sub. Ins. 2013)
(a) 15 years
(b) 19 years
(c) 24 years
(d) 12 years
DIRECTIONS (49-50) : In each of the following questions,, some equations are solved on the basis of a certain system. On the same basis, find out the correct answer for the unsolved equation.
(SSC Sub. Ins. 2013)
49. If 235 = 38 and 452 = 45, then 345 =?
(a) 49
(b) 66
(c) 72
(d) 50
50. 2 x 3=49, 5 x 6 = 2536, 1 x 9= 181, 4 x 7=?
(a) 1628
(b) 1649
(c) 2549
(d) 1219
51. If ‘x’ means ‘+’, ‘÷ ‘ means ‘-‘, + means ‘÷ ‘ and ‘-‘ means ‘x’ then what should be the value of the given equation?
14 x 4 ÷ 70 + 10 – 2 = ?
(a) 33
(b) 15
(c) 30
(d) 4
52. Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 5 * 5 * 5 * 3 * 10
(a) x + = x
(b) + – x =
(c) + ÷ = x
(d) +÷ x =
53. If ‘+’ means ‘÷’; ‘÷’ means ‘-’; ‘-‘ means ‘x’; ‘x’ means ‘+’, then
8 + 2 = 3 – 4 x 6=? (SSC CHSL 2012)
(a) -12
(b) -2
(c) -10
(d) -15
54. Choose the appropriate combination of signs to solve.
16 * 8 * 1 * 8 (SSC CHSL 2012)
(a) = – +
(b) – + =
(c) + – =
(d) + = –
55. The percentage of Laptop users are increasing year after year in India. Find out the percentage of Laptop users for the year. 2011 from the following information.
(SSC CHSL 2012)
(a) 62
(b) 64
(c) 66
(d) 60
56. If 4 x 2 x 6 = 1626, 3 x 7 x 4 = 974, then 5 x 6 x 8 = ?
(SSC Multitasking 2013)
(a) 3658
(b) 2568
(c) 5664
(d) 6456
57. If ‘+’ means ‘÷’ , ‘x’ means ‘+’, means ‘x’ and ‘÷’ means ‘-‘ then which of the following equations is correct?
(SSC Multitasking 2013)
(a) 36 + 6 – 3 x 2 = 20
(b) 36 x 6 + 3 – 2 < 20
(c) 36×6 + 3 x2>20
(d) 36 + 6×3+2 = 20
58. A father is 5 times as old as his son. His son is 6 years old.
After how many years, will the father be 4 times as old as his son? (SSC Multitasking 2013)
(a) 2 years
(b) 5 years
(c) 6 years
(d) 4 years
59. What is the least number to be subtracted from 2486 to make it a perfect square ? (SSC CGL 1st Sit. 2013)
(a) 80
(b) 85
(c) 90
(d) 95
60. In a question paper, there are 12 questions in all out of which only six are to be answered. Six questions have an alternative each. Each question has four parts. How many questions including parts are there in the question paper?
(SSC CGL 1st Sit. 2013)
(a) 24
(b) 48
(c) 72
(d) 96
61. If x stands for addition, < for subtraction, + stands for division, stands for multiplication, – stands for equal, ÷ stands for greater than, and = stands for less than, state which of the following is true ? (SSC CGL 1st Sit. 2013)
(a) 3 x 2 < 4 ÷ 16 > 2 + 4
(b) 5 > 8 + 4 = 10 < 4 x 8
(c) 3 x 4 > 2 – 9 + 3 < 3
(d) 5 x 3 < 3 ÷ 8 + 4 x 1
62. If 55 + 66 = 33 and 22 + 99 = 33, what is 44 + 88 ?
(SSC CGL 1st Sit. 2013)
(a) 33
(b) 36
(c) 38
(d) 40
63. Pipe A can fill a tank completely in 5 hours. However, on account of a leak at the tank, it takes 3 more hours to fill the tank. How long will the leak take to empty the frill tank when pipe A is closed/shut ? (SSC CGL 1st Sit. 2013)
(a) 13 hours 20 minutes
(b) 7.5 hours
(c) 14 hours 40 minutes
(d) 12 hours 20 minutes
64. If ‘+’ stands for ‘multiplication’, ‘<‘ stands for ‘division’, ‘÷’ stands for ‘subtraction’, ‘-’ stands for ‘addition’ and ‘x’ stands for ‘greater than’, identify which expression is correct.
(SSC CGL 2nd Sit. 2013)
(a) 20 – 4 ÷ 4 + 8 < 2 x 26
(b) 20 x 8 + 15 < 5 ÷ 9 – 8
(c) 20 < 2 + 10 ÷ 4 – 6 x 100
(d) 20 < 5 + 25 ÷ 10 – 2 x 96
65. Which of the following interchanges of numbers would make the given equation correct?
8 x 20 – 3 + 9 – 5 = 38 (SSC CGL 1st Sit. 2013)
(a) 8,9
(b) 3,5
(c) 3,9
(d) 3,8
66. Put the correct mathematical signs in the following equation from the given alternatives.
33 ? 11 ? 3 ? 6 = 115 (SSC CGL 1st Sit. 2013)
(a) x , ÷, –
(b) ÷, x , x
(c) -, x , +
(d) +, – , x
67. Select the correct combination of mathematical signs to replace * signs and to balance the given equation. 15 * 24 * 3 * 6 * 17 (SSC CGL 1st Sit. 2013)
(a) + x = –
(b) – x = +
(c) – + + =
(d) ++- =
68. If ‘-’ stand for addition, “+’ stands for subtraction, ‘÷’ stands for multiplication and ‘x’ stands for division, then which one of the following equations is correct?
(SSC CGL 1st Sit. 2013)
(a) 25 x 5 – 20 – 27 + 7 = 120
(b) 25 + 5 x 20 – 27 – 7 = 128
(c) 25 + 5 – 20 + 27 x 7 = 95
(d) 25 – 5 + 20 x 27 – 7 = 100
69. In the following question, some relationship have been expressed through symbols which are
x = greater than θ = not less than
÷ = less than β = not greater than
+ = equal to ∅ = not equal to,
then A θ B x C implies (SSC CGL 1st Sit. 2013)
(a) B θ C
(b) A÷ C
(c) A ∅ C
(d) B β C
70. If 63 – 30 = 30, 72 -10 = 40, then 81-60 = ?
(SSC CGL 1st Sit. 2013)
(a) 50
(b) 35
(c) 15
(d) 20
71. The average age of father and his son is 22 years. The ratio of their ages is 10 : 1 respectively. What is the age of the son ?
(SSC CGL 1st Sit. 2013)
(a) 24
(b) 4
(c) 40
(d) 14
72. In a certain code, LONDON is coded as 24-30-28-8-30-28. How will FRANCE be coded?
(SSC CGL 1st Sit. 2013)
(a) 10-24-6-28-6-12
(b) 12-26-6-28-8-10
(c) 12-36-2-28-6-10
(d) 12-26-2-28-8-10
73. If 29 x 48 = 576, 35 x 16 = 90, 22 x 46 = 96, then
42 x 17 = ? (SSC CGL 1st Sit. 2013)
(a) 56
(b) 286
(c) 48
(d) 64
74. If ‘P’denotes’ ‘multiplied by’, T denotes ‘subtracted from’, ‘M’ denotes ‘added to’ and ‘B’ denotes ‘divided by’ then : what should be the correct response of
12 P 6 M 15 T 16 B 4? (SSC CGL 1st Sit 2013)
(a) 70
(b) 75
(c) 83
(d) 110
75. If + = Greater than, ∅ = Not greater than, – = Not less than, x = Equal to, | = Less than and L = Not equal to, then of A | B x C which of the following is true ? (SSC CGL 1st Sit. 2013)
(a) B + C | A
(b) C- B + A
(c) B | A | C
(d) A ∅ B | C
76. Identify one response which would be a correct inference from the given premises stated according to the following symbols :
‘A’ stands for not greater than
‘B’ stands for equal to
‘C’ stands for less than
‘D’ stands for not less than
‘E’ stands for not equal to (SSC CGL 1st Sit. 2013)
‘F’ stands for greater than Premises (2 M B N) and (2N A 3K)
(a) 2M D 3K
(b)2M B 3K
(c) 2M C 3K
(d)2K B 3N
77. Rahim and his uncle differ in their ages by 30 years. After 7 years, if the sum of their ages is 66, what will be the age of the uncle? (SSC CHSL 2013)
(a) 39
(b) 41
(c) 51
(d) 49
DIRECTIONS: In questions no. 78 and 79, some equations are solved on the basis of a certain system. On the same basis, find out the correct answer for the unsolved equation. (SSC CHSL 2013)
78. If 782=20 and 671= 17, then
884 = ?
(a) 26
(b) 23
(c) 32
(d) 19
79. 5 x 6 x 4 = 456, 3 x 6 x 5 = 536,
4 x 8 x 7 = ?
(a) 847
(b) 784
(c) 748
(d) 478
80. Select the correct combination of mathematical signs to
replace * signs and to balance the given equation. 9 * 7 * 2 * 3 * 10 (SSC CHSL 2013)
(a) + – x =
(b) – ÷ x =
(c) ÷ x + =
(d) – + ÷ =
81. If ‘+’ denotes ÷,’-‘ denotes x, ‘x’ denotes – and ‘÷’ denotes +, then
35 + 7 – 5 ÷ 5 x 6 = ? (SSC CHSL 2013)
(a) 20
(b) 14
(c) 36
(d) 24
82. 3 daily wage workers A, B and C are distributed Rs. 178 in such a way that A gets Rs. 4 less than C, B gets ? 15 more than A and C gets Rs. 11 less than B. What is the ratio of their shares?
(SSC CHSL 2013)
(a) 53:68:57
(b) 57:53:68
(c) 50:51:52
(d) 53:56:68
83. A Woman has only 25 p and 50 p coins in her bag. If in all she has 40 coins which total rupees 12.75, then the number of 50 p coins is (SSC Steno. 2013)
(a) 15
(b) 17
(c) 11
(d) 13
84. The age of Sunita’s father today is four times as that of her age. After 8 years, the age of her father will be three times that of her age. What is Sunita’s age today?
(SSC Steno. 2013)
(a) 24 years
(b) 20 years
(c) 18 years
(d) 16 years
85. If 5 + 7 = 21 and 9 + 4 = 31, what is 7 + 9 = ?
(SSC Steno. 2013)
(a) 41
(b) 51
(c) 61
(d) 71
86. If 532 + 781 = 21 and 862 + 910 = 21, then what is the value of
796 + 355 = ? (SSC Steno. 2013)
(a) 21
(b) 30
(c) 31
(d) 22
87. If ‘-‘ stands + ;’+’ stands for ‘x’; ‘÷’ stands for and ‘x’ stands for ‘+’, which one of the following is correct?
(SSC Steno. 2013)
(a) 10 + 5 – 5 ÷ 5 x 5=10
(b) 10 – 5 + 5 ÷ 5 x 5 = 25
(c) 10 x 5 ÷ 5 + 5 – 5 = 0
(d) 10 ÷ 5 x 5 + 5 = 5
88. Praveen is twice as old as Roopa and 6 years older than Deepak. IfDeepak is 12 years, How old is Roopa?
(SSC Steno. 2013)
(a) 9
(b) 8
(c) 11
(d) 6
89. If p means -, q means +, r means ÷ and s means x, then 18 p 6 q 4 s 6 r 2 = ? (SSC Steno. 2014)
(a) 24
(b) 12
(c) 26
(d) 128
90. If 9 – 8 – 7 = 876, 6 – 4 – 2 = 531, then 8 – 5 – 3 = ?
(SSC Steno. 2014)
(a) 647
(b) 741
(c) 742
(d) 572
91. If ‘-‘ denotes ‘+’
‘÷’ denotes ‘x’
‘+’ denotes ‘-‘
‘x’ denotes ‘÷’
then 27 x 3 + 6 + 9 – 8 = ? (SSC Steno. 2016)
(a) 53
(b) 3.5
(c) 15
(d) 14.5
92. What will be the correct mathematical signs that can be inserted in the following ?
4_6_2_4_8 = 30 (SSC Steno. 2016)
(a) + + – x
(b) x + – +
(c) – x + +
(d) + + x –
93. Select the correct combination of mathematical signs to replace * signs and to balance the following equation :
35 * 7 * 25 * 15 * 2
(SSC Multitasking 2014)
(a) + ÷ = x
(b) ÷ + = x
(c) x = ÷ +
(d) ÷ = + x
94. Some equations are solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis.
If 7 x 9 x 6 x 5 = 5 x 7 x 4 x 5, then 8 x 4 x 14 x 12 = ? (SSC Multitasking 2014)
(a) 5 x 3 x 7 x 10
(b) 6 x 3 x 9 x 11
(c) 6 x 2 x 12 x 10
(d) 6 x 4 x 8 x 9
95. An insect is walking in a straight line. It covers a distance of 15 cm per minute. It comes back 2.5 cm after every 15 cm. How long will it take to cover a distance of 1 metre ?
(SSC CGL 2014)
(a) 6.5 min
(b) 8 min
(c) 10 min
(d) 12 min
96. If 1 candle in box number 1 is placed in box number 2, then box-2 has twice the number of candles that box 1 has.
If 1 candle from box-2 is placed in box-1, the box-2 and box-1 have the same number of candles.
How many candles were there in box-1 and box-2 ?
Box-1 Box-2 Box-1 Box-2
(SSC CGL 2014)
97. Which of the following interchange of signs would make the equation correct ?
6 x 4 + 2 = 16 (SSCCGL2014)
(a) + and x, 2 & 4
(b) + and x, 4 & 6
(c) + and x, 2 & 6
(d) + and x, 3 & 4
98. Select the correct combination of mathematical sings to replace the * signs and to balance the following equation :
45 *3*6*2*16 (SSC CGL 2014)
(a) + x ÷ =
(b) + ÷ x =
(c) + x – =
(d) + + – =
99. Select the correct combination of mathematical signs to replace * signs and to balance the following equation :
8 * 5 * 10 * 2 * 25 (SSC CGL 2014)
(a) + x = =
(b) + = – =
(c) x+= x
(d) x- = x
100. On one side of a street are even numbers and on the other side are odd numbers. No. 1 is exactly in front of No. 2. My House is No. 9. From my house, a man comes up from No. 2 and knocks at the door, five doors beyond the house infront of me. What is the No. of that house ?
(SSC CGL 2014)
(a) 18
(b) 20
(c) 22
(d) 26
101. Govind is 48 years old. He is twice as old as his son Prem is now. How old was Prem seven years before ?(SSC Sub. Ins. 2014)
(a) 16
(b) 17
(c) 13
(d) 18
102. If ‘-‘ stands for’+’,’+’ stands for ‘x’, ‘x’ stands for’-‘ then which one of the following is not correct ?
(SSC Sub. Ins. 2014)
(a) 22 + 7- 3 x 9 = 148
(b) 33 x 5 – 10 + 20 = 228
(c) 7 + 28 – 3 x 52 = 127
(d) 44 – 9 + 6 x 11 = 87
103. Some equations are solved on the basis of a certain system.
Find the correct answer for the unsolved-equation on that ‘ basis. (SSC Sub. Ins. 2014)
5 *6 = 35,8 *4 = 28,6* 8 = ?
(a) 46
(b) 34
(c) 23
(d) 38
104. Select the correct combination of mathematical signs to replace * signs and to balance the following equation.
12 * 3 * 4 = 6 * 8 * 8 (SSC Sub. Ins. 2014)
(a) +,x,-,x
(b) x, +,- , x
(c) x,+,x,-
(d) x,- , x, +
105. Mani is double the age ofPrabhu. Ramona is half the age of Prabhu. If Mani is sixty, find out the age of Ramona.
(SSC CHSL 2014)
(a) 20
(b) 15
(c) 10
(d) 24
106. Let
N= 11 0=13 P= 17
Find the letter to be in the box in the relation given :
(a) L
(b) P
(c) J
(d) O
107. Some equations are solved on the basis of a certain system.
On the same basis, find out the correct answer for the unsolved equation. (SSC CHSL 2014)
5 x 6 x 7 = 765, 2 x 5 x 7=?
(a) 572
(b) 752
(c) 725
(d) 257
108. The overall rainfall in certain region of India decreases year after year. Find out from the data the trend in decrease.
(SSC CHSL 2014)
(a) 6 mm
(b) 7 mm
(c) 5 mm
(d) 8 mm
109. A train starts from station A and reaches B 15 minutes late when it moves with 40 km/hr and 24 minutes late when it goes 30 km/hr. The distance between the two stations is
(SSC CGL 1st Sit. 2015)
(a) 16 km
(b) 18 km
(c) 21 km
(d) 24 km
110. If, + stands for division; x stands for addition ; – stands for multiplication; ÷ stands for subtraction, which of the following is correct ? (SSC CGL 1st Sit. 2015)
A. 46 x 6 ÷ 4 – 5 + 3 = 74
B. 46 – 6 + 4 x 5 ÷ 3 = 71
C. 46 ÷ 6 x 4 – 5 + 3 = 75.5
D. 46 x 6 – 4 + 5 ÷ 3 = 70.1
(a) D
(b) B
(c) A
(d) C
111. If += x, – = ÷, x = +,÷ = -, then which is the correct equation out of the following? (SSC CGL 1st Sit. 2015)
(a) 18 ÷ 6 + 4 – 2 ÷ 3 = 22
(b) 18 + 6 – 4 x 2 ÷ 3 =26
(c) 18 x 6 – 4 + 7 x 8 = 47
(d) 18 – 6 x 7 ÷ 2 + 8 = 63
112. Find the number that is common for all of the clue’s given below: (SSC CGL 1st Sit. 2015)
(A) Virgo
(B) Volleyball
(C) Highest scoring shot of a particular sport
(D) Extra sensory perceptions.
(a) 8
(b) 4
(c) 2
(d) 6
113. To identify the correct response from the given premises stated according to following symbols.
‘A’ stands for not less that (≤)
‘B’ stands for not equal to (≠)
‘C’ stands for not greater than (≥)
‘D’ stands for greater than (>)
‘E’ stands for less than (<)
‘F’ stands for equal to (=)
Premises 4 Y F 3 x and 3 x F 6 Z (SSC CGL 1st Sit. 2015)
(a) 2 Y F 3 Z
(b) 4 Y B 5 Z
(c) 2 Y D 3 Z
(d) 2 Y E 3 Z
114. If ‘+’ means ‘x’,’-‘ means ‘÷’, ‘x’ means ‘-‘ and ‘÷’ means ‘+’ then what will be the value of 16 ÷ 64 – 8 x 4 + 2 ?
(SSC CGL 1st Sit. 2015)
(a) 12
(b) 24
(c) 16
(d) 18
115. Two persons A and B get the same salary. Their Basic pay are different. The allowances are 65% and 80% of the basic pay respectively. What is the ratio of the basic pay ?
(SSC Sub. Ins. 2015)
(a) 7:5
(b) 17:15
(c) 12:11
(d) 11:10
116. A man climbing up a wall of 24 metres high, climbs 16 m on one day but slipped back by 3 m 40 cms in the evening. How far had the man reached on that day? (SSC Sub. Ins. 2015)
(a) 12.6 m
(b) 19 m, 40 cm
(c) 12 m, 40 cm
(d) 11.4 m
117. Two horses A and B run at a speed of 3:2 ratio in the first lap; during the second lap the ratio differs by 4:7; during the third lap the ratio differs by 8:9. What is the difference in ratio of speed altogether between the two horses.
(SSC Sub. Ins. 2015)
(a) 3
(b) 2
(c) 4
(d) 1
118. If ‘a’ represents ÷, ‘b’ represents +, ‘c’ represents – and ‘d’ represents x then 24a 6d 4b 9c 8 = ? (SSC Sub. Ins. 2015)
(a) 6
(b) 17
(c) 20
(d) 19
119. Some equations are solved on the basis of certain system, find out the correct answer for the unsolved equation on that basis: 7 x 6 x 4 = 674, 8 x 5 x 3 = 583, 9 x 1 x 2 = ?
(SSC Sub. Ins. 2015)
(a) 727
(b) 292
(c) 192
(d) 462
120. Change the symbol and solve accordingly to find out correct answer from the alternatives given below 9 x 8 x 7 = 24, 4 x 7 x 3 = 14, 2 x 1 x 9 = ? (SSC Sub. Ins. 2015)
(a) 12
(b) 11
(c) 18
(d) 10
121. If ‘-‘ stands for addition,’+’ stands for multiplication, ‘÷’ stands for subtraction and ‘x’ stands for division, which one of the following equations is correct? (SSC CHSL 2015)
(a) 5 + 2 – 12 x 6 + 2=10
(b) 5 + 2+12 x 6 – 2 = 4
(c) 5 – 2+12 x 6 + 2 = 27
(d) 5 + 2 – 12 + 6 x 2=13
122. If P denotes ÷, Q denotes x ( R denotes + and S denotes -, then 16 Q 12 P 6 R 5 S 4? (SSC CHSL 2015)
(a) 32
(b) 33
(c) 30
(d) 31
123. Some equations have been solved on the basis of certain system. Find the correct answer for the unsolved equations on that basis ? (SSC CHSL 2015)
If 72 x 19 = 23,13 x 48 = 35 and 16 x 43 = 18 then 39 x 22 = ?
(a) 27
(b) 51
(c) 31
(d) 21
124. If + means ÷, ÷ means x, and x means +, then following will be:
64 + 8 x 32 + 4
(a) 128
(b) 160
(c) 136
(d) 144
125. If ‘x’ means ‘addition’, means ‘division’, ‘/’ means ‘subtraction’ and ‘+’ means ‘multiplication’, then which of the equation is correct (SSC CG L 1st Sit. 2016)
(a) 25 + 10 – 5 / 10 x 3 = 43
(b) 25 – 10 x 5 + 10 / 3 = 72
(c) 25 x 10 / 5 + 10 – 3 = 12
(d) 25 / 10 + 5 x 10 / 3 = 18
126. In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.
53 – 34 = 5334, 65 – 46 = 6456
75 – 24 = ? (SSC CGL Ist Sit. 2016)
(a) 7542
(b) 7524
(c) 7452
(d) 7254
127. If ‘+’ means ‘/’, ‘/’ means ‘-’ means ‘x’, ‘x’ means ‘+’, then 24 + 8 / 2 – 6 x 6 = ? (SSC CGL Is* Sit. 2016)
(a) -10
(b) -3
(c) 12
(d) 21
128. In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.
7 x 6 x 8 = 678
8 x 9 x 7 = 987
6 x 5 x 7 = 567
5 x 4 x 6 = ? (SSC CGL 1st Sit. 2016)
(a) 456
(b) 564
(c) 645
(d) 654
129. If ‘x’ means addition,’-‘ means division,’÷’ means subtraction and ‘+’ means multiplication, then which of the equations is correct? (SSC CGL 1st Sit. 2016)
(a) 16 x 5 + 10 + 4 – 3 = 19
(b) 16 + 5 + 10 x 4 – 3 = 9
(c) 16 + 5- 10 x 4 + 3 = 9
(d) 16 – 5 x 10 + 4 + 3 = 12
130. If 4 x 5 x 2 = 524, 3 x 7 x 2 = 723 and 6 x 8 x 7 = 876 then 9 x 4 x 5 = ? (SSC CGL Ist Sit. 2016)
(a) 495
(b) 459
(c) 549
(d) 954
131. If ‘ +’ means minus,’ -‘ means multiplication,’ ÷’ means plus , and ‘x’ means division , then 15 – 3 + 10 x 5 ÷ 5
(SSC CGL 1st Sit. 2016)
(a) 52
(b) 48
(c) 22
(d) 5
132. A certain system is followed to solve the problem. Accordingly find out the correct answer from the alternatives for the unsolved equations.
7 x 4 x 9 = 479
9 x 5 x 2 = 592
6 x 9 x 5 = 965
8 x 6 x 2 = ? (SSC CGL Ist Sit. 2016)
(a) 286
(b) 682
(c) 628
(d) 268
133. The age of Dr. Pandey is four times the age of his son. After 10 years, the age of Dr. Pandey will be twice the age of his son . The present age of Dr. Pandey’s son is (SSC CGL 1st Sit. 2016)
(a) 4 years
(b) 5 years
(c) 6 years
(d) 8 years
134. Mona is 6 years younger to her husband and he is 5 times as old as his daughter Rina. If Rina was 5 years old 3 years back, what is the present age of Mona? (SSC SI 2016)
(a) 34
(b) 35
(c) 40
(d) 30
135. If 678 = 83, 476 = 75 and 567 = 80, what is 369 = ?
(SSC SI 2016)
(a) 18
(b) 40
(c) 72
(d) 99
136. In a peculiar mathematical operation, plus means multiplication, minus means plus, divided means minus and multiplication means sum of digits of two numbers. Follow these rules and solve the following example.(SSC SI 2016) (6 x 7) – (8 x 9) – (10 x 11) = ?
(a) 04
(b) 51
(c) 224
(d) 33
137. Rakhi got engaged 10 years ago. Rakhi’s present age is 5/3 of her age at the time of engagement. If the present age of Rakhi’s mother is twice that of present age of Rakhi, then what was her mother’s age (in years) at the time of her engagement. (SSC CGL 2017)
(a) 50
(b) 40
(c) 30
(d) 60
138. In the following question, correct the equation by interchanging two signs. (SSC CGL 2017)
9 x 3 + 8 + 4 – 7 = 28
(a) x and –
(b) + and –
(c) + and +
(d) x and +
139. If 4 * 5 % 3 = 8000 and 2 * 3 % 2 = 36, then 4 * 3 % 3 =?
(SSC CGL 2017)
(a) 432
(b) 1728
(c) 36
(d) 144
140. Nine years later, age of B will be equal to the present age of A. Sum of A’s age 3 years later and B’s age 4 years ago is 76. IfC is half of the present age of B, then what will be C’s age (in years) after 10 years? (SSC CGL 2017)
(a) 32
(b) 36
(c) 27
(d) 31
141. In the following question, correct the equation by interchanging two signs. (SSC CGL 2017)
4 x 3 – 6 ÷ 2 + 7=8
(a) – and +
(b) x and –
(c) ÷ and x
(d) x and +
142. If 3 # 4 % 8 = 6 and 9 % 4 # 3 = 12, then 12 % 6 # 24 = ?
(SSC CGL 2017)
(a) 4
(b) 3
(c) 5
(d) 6
143. In the following question, by using which mathematical operator will the expression become correct?
18 ? 6 ? 9 ? 27 (SSC CGL 2017)
(a) x, ÷ and =
(b) ÷, x and =
(c) x, + and =
(d) +, – and =
144. If 18(9)3 and 36(30)5,then what is the value of A in 19(A)18? (SSC CGL 2017)
(a) 33
(b) 57
(c) 75
(d) 96
145. The ratio of present ages of P and Q is 5 : 8. Three years later their ages will be in ratio 8:11. What is the present age (in years) of Q? (SSC CGL 2017)
(a) 5
(b) 11
(c) 14
(d) 8
146. If “P”denotes “multiplied by”, “R”denotes “subtracted from”, “S” denotes “added to “ and “Q” denotes “divided by”, “then which of the following equation is true?
(SSC CGL 2017)
(a) 18 R 60 Q 15 S 2 = 8
(b) 15 S 16 Q 2 P 4 = 47
(c) 3 P 5 R 18 Q 3 = 6
(d) 15 S 28 Q 4 P 2 = 27
147. If 4 * 7 * 2 = 361 and 5 *9* 1 =480, then 2 * 1 * 3 = ?
(SSC CGL 2017)
(a) 312
(b) 324
(c) 210
(d) 102
148. If “+” means “minus”, “x” means “divided by”, “ ÷ ” means “plus” and means “multiplied by”, then
126 x 14 + 7 – 3 + 2 = ? (SSC CHSL 2017)
(a) -10
(b) -12
(c) -17
(d) -41
149. Some equations are solved on the basis of certain system.
Find out the correct answer for the unsolved equation on that basis. (SSC MTS 2017)
If 12 x 9 = 810 and 15 x 9= 513 then 13 x 8 = ?
(a) 104
(b) 410
(c) 411
(d) 401
150. The total age of a mother and her daughter is 60 years. The difference between their ages is 30 years. Find out the age of mother. (SSC MTS 2017)
(a) 40 years
(b) 55 years
(c) 45 years
(d) 50 years
151. If P denotes’÷’, Q denotes ‘x’, R denotes ’+’ and S denotes then 18 Q 12 P 4 R 5 S 6 is equal to: (SSC MTS 2017)
(a) 65
(b) 36
(c) 53
(d) 34
152. In the following question, by using which mathematical operators will the expression become correct? 14 ? 2 ? 4 ? 6 ? 4 (SSC Sub. Ins. 2017)
(a) x,÷, >and x
(b) ÷, x, > and x
(c) ÷, +, = and x
(d) ÷, +, > and x
153. In the following question, correct the equation by inter-changing two signs. (SSC Sub. Ins. 2017)
43 + 9 – 6 + 3 x 8 = 50
(a) + and x
(b) + and +
(c) – and +
(d) – and x
154. If 4 * 9 % 2 =47 and 9 * 0 % 6 = 84, then 5 * 3 % 7 = ?
(SSC Sub. Ins. 2017)
(a) 38
(b) 51
(c) 42
(d) 46
155. If 1/4/3 = 254 and 3/6/8 = 479, then 5/2/7 = ?
(SSC Sub. Ins. 2017)
(a) 416
(b) 461
(c) 368
(d) 638
156. If 85 x 5 – 3 = 20 and 18 x 2 – 1 = 10, then 100 x 20 – 5 =?
(SSC Steno. 2017)
(a) 15
(b) 20
(c) 10
(d) 13
157. By interchanging which two signs the equation will be correct?
25+ 18 ÷ 2 – 4 = 20 (SSC Steno. 2017)
(a) + and +
(b) + and –
(c) + and –
(d) None of these
158. Present ages of A and B are in ratio 3:5:7 years later B’s age will be twice the age of C. If C celebrated his 10th birthday 4 years ago, then what is the present age (in years) of A?
(SSC Steno. 2017)
(a) 14
(b) 21
(c) 28
(d) 42
HINTS & SOLUTIONS