SSC CPO Exam Paper - 2017 "held on 03 July 2017" Shift-1 (Quantitative Aptitude)
SSC CPO Exam Paper - 2017 "held on 03 July 2017" Shift-1
(Quantitative Aptitude)
QID : 101 - If 1/N = (√6 + √5)/(√6 - √5), then what is the value of N?
Options:
1) 6 - √30
2) 6 + √30
3) 11 - 2√30
4) 11 + 2√5
Correct Answer: 11 - 2√30
QID : 102 - What is the value of positive square root of 69 + 28√5?
Options:
1) 7 + 2√5
2) 7 - 2√5
3) 2 + 7√5
4) 2 - 7√5
Correct Answer: 7 + 2√5
QID : 103 - 311 + 312 + 313 + 314 is divisible by _____.
Options:
1) 7
2) 8
3) 11
4) 14
Correct Answer: 8
QID : 104 - A boy added all natural numbers from 1 to 12, however he added one number twice due to which the sum becomes 80. What is the number which he added twice?
Options:
1) 3
2) 2
3) 7
4) 8
Correct Answer: 2
QID : 105 - What smallest value must be added to 508, so that the resultant is a perfect square?
1) 6 - √30
2) 6 + √30
3) 11 - 2√30
4) 11 + 2√5
Correct Answer: 11 - 2√30
QID : 102 - What is the value of positive square root of 69 + 28√5?
Options:
1) 7 + 2√5
2) 7 - 2√5
3) 2 + 7√5
4) 2 - 7√5
Correct Answer: 7 + 2√5
QID : 103 - 311 + 312 + 313 + 314 is divisible by _____.
Options:
1) 7
2) 8
3) 11
4) 14
Correct Answer: 8
QID : 104 - A boy added all natural numbers from 1 to 12, however he added one number twice due to which the sum becomes 80. What is the number which he added twice?
Options:
1) 3
2) 2
3) 7
4) 8
Correct Answer: 2
QID : 105 - What smallest value must be added to 508, so that the resultant is a perfect square?
Options:
1) 4
2) 9
3) 18
4) 21
Correct Answer: 21
QID : 106 - Raman is 25% more efficient than Aman. If Aman can complete a piece of work in 25 days, then Raman can complete the same work in how many days?
Options:
1) 12
2) 15
3) 16
4) 20
Correct Answer: 20
QID : 107 - A and B together can complete a work in 30 day. They started together but after 6 days A left the work and the work is completed by B after 36 more days. A alone can complete the entire work in how many days?
Options:
1) 45
2) 90
3) 60
4) 120
Correct Answer: 90
QID : 108 - The marked price of an article is 40% more than its cost price. If 10% discount is given, then what is the profit percentage?
Options:
1) 10
2) 20
3) 26
4) 32
Correct Answer: 26
QID : 109 - What will be the net discount (in percent) after giving three successive discounts of 10%, 20% and 30%?
Options:
1) 50.4
2) 49.6
3) 45.3
4) 48.4
Correct Answer: 49.6
QID : 110 - The ratio of two numbers is 3 : 5. If both numbers are increased by 8, the ratio becomes 13 : 19. What is the sum of the two numbers?
Options:
1) 32
2) 48
3) 40
4) 72
Correct Answer: 48
QID : 111 - If 3A = 5B, then what is the value of (A + B)/B?
Options:
1) 8/3
2) 8/5
3) 5/8
4) 5/3
Correct Answer: 8/3
QID : 112 - What is the average of first 29 even numbers?
1) 4
2) 9
3) 18
4) 21
Correct Answer: 21
QID : 106 - Raman is 25% more efficient than Aman. If Aman can complete a piece of work in 25 days, then Raman can complete the same work in how many days?
Options:
1) 12
2) 15
3) 16
4) 20
Correct Answer: 20
QID : 107 - A and B together can complete a work in 30 day. They started together but after 6 days A left the work and the work is completed by B after 36 more days. A alone can complete the entire work in how many days?
Options:
1) 45
2) 90
3) 60
4) 120
Correct Answer: 90
QID : 108 - The marked price of an article is 40% more than its cost price. If 10% discount is given, then what is the profit percentage?
Options:
1) 10
2) 20
3) 26
4) 32
Correct Answer: 26
QID : 109 - What will be the net discount (in percent) after giving three successive discounts of 10%, 20% and 30%?
Options:
1) 50.4
2) 49.6
3) 45.3
4) 48.4
Correct Answer: 49.6
QID : 110 - The ratio of two numbers is 3 : 5. If both numbers are increased by 8, the ratio becomes 13 : 19. What is the sum of the two numbers?
Options:
1) 32
2) 48
3) 40
4) 72
Correct Answer: 48
QID : 111 - If 3A = 5B, then what is the value of (A + B)/B?
Options:
1) 8/3
2) 8/5
3) 5/8
4) 5/3
Correct Answer: 8/3
QID : 112 - What is the average of first 29 even numbers?
Options:
1) 30
2) 31
3) 32
4) 33
Correct Answer: 30
QID : 113 - The average of 5 consecutive odd numbers is 27. What is the product of the first and the last number?
1) 30
2) 31
3) 32
4) 33
Correct Answer: 30
QID : 113 - The average of 5 consecutive odd numbers is 27. What is the product of the first and the last number?
Options:
1) 621
2) 667
3) 713
4) 725
Correct Answer: 713
QID : 114 - A man bought 9 pens for a rupee. How many pens should he sell for a rupee to gain 50%?
Options:
1) 3
2) 6
3) 7
4) 8
Correct Answer: 6
QID : 115 - On an article the profit is 210% of the cost price. If the cost price increase by 40% but the selling price remains constant, then approximately what percentage of selling price will be the profit?
Options:
1) 55
2) 62
3) 74
4) 85
Correct Answer: 55
QID : 116 - If the price of apple increases from Rs 80/kg to Rs 100/kg, then by what percentage a person should decrease the consumption of apple so that his expenditure remains same?
Options:
1) 25
2) 22
3) 20
4) 18
Correct Answer: 20
QID : 117 - If 25% of a number is 6, then what is the number which is 50% more than the initial number?
Options:
1) 36
2) 24
3) 30
4) 18
Correct Answer: 36
3) 713
4) 725
Correct Answer: 713
QID : 114 - A man bought 9 pens for a rupee. How many pens should he sell for a rupee to gain 50%?
Options:
1) 3
2) 6
3) 7
4) 8
Correct Answer: 6
QID : 115 - On an article the profit is 210% of the cost price. If the cost price increase by 40% but the selling price remains constant, then approximately what percentage of selling price will be the profit?
Options:
1) 55
2) 62
3) 74
4) 85
Correct Answer: 55
QID : 116 - If the price of apple increases from Rs 80/kg to Rs 100/kg, then by what percentage a person should decrease the consumption of apple so that his expenditure remains same?
Options:
1) 25
2) 22
3) 20
4) 18
Correct Answer: 20
QID : 117 - If 25% of a number is 6, then what is the number which is 50% more than the initial number?
Options:
1) 36
2) 24
3) 30
4) 18
Correct Answer: 36
QID : 118 - A boat travels 60 kilometers downstream and 20 kilometers upstream in 4 hours. The same boat travels 40 kilometers downstream and 40 kilometers upstream in 6 hours. What is the speed (in km/hr) of the stream?
Options:
1) 24
2) 16
3) 18
4) 20
Correct Answer: 16
QID : 119 - 50 trees are standing in a line such that distance between any two consecutive trees is same. A car takes 18 seconds to travel from 13th tree to 34th tree. How much time (in seconds) will it take to reach from 1st tree to 50th tree?
Options:
1) 42
2) 42.85
3) 45
4) 49
Correct Answer: 42
QID : 120 - What will be the amount on Rs 12500 at the rate of 20% per annum compounded yearly for 3 years?
Options:
1) 21080
2) 21560
3) 20600
4) 21600
Correct Answer: 21600
QID : 121 - A certain sum becomes 7 times in 8 years, at simple interest, then in how many years it will become 19 times?
Options:
1) 15
2) 18
3) 28
4) 24
Correct Answer: 24
QID : 122 -
What is the difference between total runs scored by A and B in four matches?
Options:
1) 24
2) 16
3) 18
4) 20
Correct Answer: 16
QID : 119 - 50 trees are standing in a line such that distance between any two consecutive trees is same. A car takes 18 seconds to travel from 13th tree to 34th tree. How much time (in seconds) will it take to reach from 1st tree to 50th tree?
Options:
1) 42
2) 42.85
3) 45
4) 49
Correct Answer: 42
QID : 120 - What will be the amount on Rs 12500 at the rate of 20% per annum compounded yearly for 3 years?
Options:
1) 21080
2) 21560
3) 20600
4) 21600
Correct Answer: 21600
QID : 121 - A certain sum becomes 7 times in 8 years, at simple interest, then in how many years it will become 19 times?
Options:
1) 15
2) 18
3) 28
4) 24
Correct Answer: 24
QID : 122 -
What is the difference between total runs scored by A and B in four matches?
Options:
1) 111
2) 123
3) 98
4) 135
Correct Answer: 123
QID : 123 -
1) 111
2) 123
3) 98
4) 135
Correct Answer: 123
QID : 123 -
Runs scored by C in match II is how much percent more than the runs scored by C in match I?
Options:
1) 11.76
2) 16.66
3) 17.12
4) 13.33
Correct Answer: 13.33
QID : 124 -
Runs scored by A in match II is what percent of the total runs scored by these five players in match II?
Options:
1) 11.76
2) 16.66
3) 17.12
4) 13.33
Correct Answer: 13.33
QID : 124 -
Runs scored by A in match II is what percent of the total runs scored by these five players in match II?
Options:
1) 71.07
2) 35.14
3) 28.92
4) 55.13
Correct Answer: 28.92
QID : 125 -
What is the correct order of averages of the given players in the 4 matches?
Options:
1) E > A > C > D > B
2) E > A > D > C > B
3) A > E > C > D > B
4) A > E > B > C > D
Correct Answer: E > A > C > D > B
QID : 126 - A solid metallic sphere of radius 21 cm is melted and recast into a cone with diameter of the base as 21 cm. What is the height (in cm) of the cone?
Options:
1) 336
2) 112
3) 224
4) 66
Correct Answer: 336
QID : 127 - The radius of a wheel is 3.5 cm. What is the distance (in cm) travelled by the wheel in 20 revolutions?
Options:
1) 220
2) 440
3) 880
4) 1320
Correct Answer: 440
QID : 128 - If the perimeter of a square is 44 cm, then what is the diagonal (in cm) of the square?
Options:
1) 11√2
2) 2√11
3) 11
4) 44√2
Correct Answer: 11√2
QID : 129 - What is the curved surface area (in cm2) of a cylinder having radius of base as 14 cm and height as 10 cm?
Options:
1) 440
2) 880
3) 220
4) 1320
Correct Answer: 880
QID : 130 - Three circles of radius 63 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles?
Options:
1) 7938√3 - 4158
2) 3969√3 - 4158
3) 7938√3 - 6237
4) 3969√3 - 6237
Correct Answer: 3969√3 - 6237
QID : 131 - If (x/y)5a-3 = (y/x)17-3a, then what is the value of a?
Options:
1) -7
2) -5
3) 0
4) 3
Correct Answer: -7
QID : 132-
1) 71.07
2) 35.14
3) 28.92
4) 55.13
Correct Answer: 28.92
QID : 125 -
What is the correct order of averages of the given players in the 4 matches?
Options:
1) E > A > C > D > B
2) E > A > D > C > B
3) A > E > C > D > B
4) A > E > B > C > D
Correct Answer: E > A > C > D > B
QID : 126 - A solid metallic sphere of radius 21 cm is melted and recast into a cone with diameter of the base as 21 cm. What is the height (in cm) of the cone?
Options:
1) 336
2) 112
3) 224
4) 66
Correct Answer: 336
QID : 127 - The radius of a wheel is 3.5 cm. What is the distance (in cm) travelled by the wheel in 20 revolutions?
Options:
1) 220
2) 440
3) 880
4) 1320
Correct Answer: 440
QID : 128 - If the perimeter of a square is 44 cm, then what is the diagonal (in cm) of the square?
Options:
1) 11√2
2) 2√11
3) 11
4) 44√2
Correct Answer: 11√2
QID : 129 - What is the curved surface area (in cm2) of a cylinder having radius of base as 14 cm and height as 10 cm?
Options:
1) 440
2) 880
3) 220
4) 1320
Correct Answer: 880
QID : 130 - Three circles of radius 63 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles?
Options:
1) 7938√3 - 4158
2) 3969√3 - 4158
3) 7938√3 - 6237
4) 3969√3 - 6237
Correct Answer: 3969√3 - 6237
QID : 131 - If (x/y)5a-3 = (y/x)17-3a, then what is the value of a?
Options:
1) -7
2) -5
3) 0
4) 3
Correct Answer: -7
QID : 132-
Options:
1) 1
2) (x - 3)/(x + 3)
3) (x + 4)/(x - 3)
4) (x - 3)(x + 4)
Correct Answer: 1
QID : 133 -
Options:
1) (3√3)/5
2) (3√15)/5
3) (3√15)/8
4) (3√5)/8
Correct Answer: (3√15)/8
QID : 134 -
Options:
1) 18
2) 34
3) 40
4) 62
Correct Answer: 62
QID : 135 -
QID : 136 - If P is the circum-center in ΔABC, ∠BPC = 30°, then what is the value (in degrees) of ∠BAC?
Options:
1) 30
2) 60
3) 75
4) 105
Correct Answer: [ No Correct Answer ]
1) 1
2) (x - 3)/(x + 3)
3) (x + 4)/(x - 3)
4) (x - 3)(x + 4)
Correct Answer: 1
QID : 133 -
Options:
1) (3√3)/5
2) (3√15)/5
3) (3√15)/8
4) (3√5)/8
Correct Answer: (3√15)/8
QID : 134 -
Options:
1) 18
2) 34
3) 40
4) 62
Correct Answer: 62
QID : 135 -
QID : 136 - If P is the circum-center in ΔABC, ∠BPC = 30°, then what is the value (in degrees) of ∠BAC?
Options:
1) 30
2) 60
3) 75
4) 105
Correct Answer: [ No Correct Answer ]
QID : 137 - In ΔPQR, ∠PQR = 90°, PQ = 5 cm and QR = 12. What is the radius (in cm) of the circum-circle of ΔPQR?
Options:
1) 6.5
2) 7.5
3) 13
4) 15
Correct Answer: 6.5
QID : 138 -
Options:
1) 6.5
2) 7.5
3) 13
4) 15
Correct Answer: 6.5
QID : 138 -
Options:
1) 150
2) 110
3) 160
4) 130
Correct Answer: 150
QID : 139 -
Options:
1) 200(1 + √3)
2) 300(2 + √3)
3) 200(2 + √3)
4) 100(3 + 2√3)
Correct Answer: 200(2 + √3)
QID : 140 - If ΔABC is right angled at B, AB = 30 and ∠ACB = 60°, then what is the value of AC?
Options:
1) 20
2) 20√3
3) 40
4) 60
Correct Answer: 20√3
QID : 141 - If sin θ + cos θ = √3 cos(90 - θ), then what is the value of tan θ?
Options:
1) √3 - 1
2) √3 + 1
3) (√3 + 1)/2
4) (√3 - 1)/2
Correct Answer: (√3 + 1)/2
1) 150
2) 110
3) 160
4) 130
Correct Answer: 150
QID : 139 -
Options:
1) 200(1 + √3)
2) 300(2 + √3)
3) 200(2 + √3)
4) 100(3 + 2√3)
Correct Answer: 200(2 + √3)
QID : 140 - If ΔABC is right angled at B, AB = 30 and ∠ACB = 60°, then what is the value of AC?
Options:
1) 20
2) 20√3
3) 40
4) 60
Correct Answer: 20√3
QID : 141 - If sin θ + cos θ = √3 cos(90 - θ), then what is the value of tan θ?
Options:
1) √3 - 1
2) √3 + 1
3) (√3 + 1)/2
4) (√3 - 1)/2
Correct Answer: (√3 + 1)/2
QID : 142 -
Options:
1) 8/15
2) 6/13
3) 37/115
4) 23/14
Correct Answer: 23/14
QID : 143 - What is the simplified value of [(1 + sec 2θ) tan2 θ] + 1?
Options:
1) cos2 θ
2) 1
3) sec 2θ
4) cosec θ
Correct Answer: sec 2θ
1) 8/15
2) 6/13
3) 37/115
4) 23/14
Correct Answer: 23/14
QID : 143 - What is the simplified value of [(1 + sec 2θ) tan2 θ] + 1?
Options:
1) cos2 θ
2) 1
3) sec 2θ
4) cosec θ
Correct Answer: sec 2θ
QID : 144 - What is the simplified value of [(1 - cos2 θ) cosec4 θ] - cot2 θ?
Options:
1) -1
2) 0
3) 1
4) 3
Correct Answer: 1
QID : 145 - If cos (θ + 31°) = sin 47°, then what is the value of sin 5θ?
Options:
1) 1/2
2) 1/√2
3) √3/2
4) 0
Correct Answer: √3/2
QID : 146 -
Options:
1) -1
2) 0
3) 1
4) 3
Correct Answer: 1
QID : 145 - If cos (θ + 31°) = sin 47°, then what is the value of sin 5θ?
Options:
1) 1/2
2) 1/√2
3) √3/2
4) 0
Correct Answer: √3/2
QID : 146 -
What was the total expenditure (in Rs crores) of the company Q, R and T together?
Options:
1) 19.2
2) 28.8
3) 24.3
4) 31.4
Correct Answer: 28.8
QID : 147 -
By how much percent expenditure of company Q and R together greater than that of company P?
Options:
1) 33.33
2) 60
3) 66.67
4) 75
Correct Answer: 66.67
QID : 148 -
What is the respective ratio between the total expenditure of company P, Q and S together to the total expenditure?
Options:
1) 31 : 60
2) 50 : 31
3) 60 : 31
4) 31 : 50
Correct Answer: 31 : 50
QID : 149 -
Total amount spent by company S is what percent of total amount spent by company T and R?
Options:
1) 42.1
2) 43
3) 39.68
4) 41
Correct Answer: 42.1
QID : 150 -
The profit earned by company R is equal to the 1/4th of the expenditure of company Q. What is the profit (in Rs crores) of company R?
Options:
1) 3.24
2) 4.84
3) 2.64
4) 5.66
Correct Answer: 2.64
By how much percent expenditure of company Q and R together greater than that of company P?
Options:
1) 33.33
2) 60
3) 66.67
4) 75
Correct Answer: 66.67
QID : 148 -
What is the respective ratio between the total expenditure of company P, Q and S together to the total expenditure?
Options:
1) 31 : 60
2) 50 : 31
3) 60 : 31
4) 31 : 50
Correct Answer: 31 : 50
QID : 149 -
Total amount spent by company S is what percent of total amount spent by company T and R?
Options:
1) 42.1
2) 43
3) 39.68
4) 41
Correct Answer: 42.1
QID : 150 -
The profit earned by company R is equal to the 1/4th of the expenditure of company Q. What is the profit (in Rs crores) of company R?
Options:
1) 3.24
2) 4.84
3) 2.64
4) 5.66
Correct Answer: 2.64
