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SSC CPO Exam Paper - 2017 "held on 05 July 2017" Shift-1

(Quantitative Aptitude)

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QID : 101 - The sum of three consecutive odd numbers is always divisible by ____.

Options:

1) 3
2) 9
3) 15
4) 21

Correct Answer: 3

QID : 102 - A boy added all natural numbers from 1 to 20. However he added one number twice, due to which the sum becomes 215. What is the number which he added twice?

Options:

1) 5
2) 7
3) 11
4) 15

Correct Answer: 5

QID : 103 - 6/7 part of a tank is filled with oil. After taking out 60 litres of oil the tank is 4/5 part full. What is the capacity (in litres) of the tank?

Options:

1) 350
2) 700
3) 360
4) 1050

Correct Answer: 1050

QID : 104 - For what value of N, 34N will be a perfect cube, where 34N is a 3 digit number?

Options:

1) 2
2) 3
3) 4
4) 5

Correct Answer: 3

QID : 105 -

QID : 106 - P, Q and R together can complete a work in 40 days. P and Q together can complete the same work in 90 days. Then R alone can complete the same work in how many days?

Options:

1) 40
2) 72
3) 84
4) 90

Correct Answer: 72

QID : 107 - A alone can complete the work in 10 days, B alone can do same work in 12 days and C alone can do the same work in 15 days. They jointly complete the work and earn Rs 4500. What is the share of C?

Options:

1) 1800
2) 900
3) 1200
4) 1500

Correct Answer: 1200

QID : 108 - 3/4 of marked price is equal to 5/6 of selling price. What is the discount percent?

Options:

1) 12.5
2) 10
3) 15
4) 11.11

Correct Answer: 10

QID : 109 - An article having marked price Rs 2400 is sold for Rs 1872. What is the discount percentage?

Options:

1) 21
2) 22
3) 24
4) 26

Correct Answer: 22

QID : 110 - If 3P = 2Q and 2Q = 3R, then what is P : Q : R?

Options:

1) 6 : 9 : 1
2) 2 : 3 : 2
3) 4 : 6 : 9
4) 4 : 6 : 1

Correct Answer: 2 : 3 : 2

QID : 111 - The ratio of the speed of Aman, Kamal and Manan is 4 : 5 : 6 respectively. What is the ratio of the time taken by Aman, Kamal and Manan respectively to cover the same distance?

Options:

1) 10 : 12 : 15
2) 6 : 5 : 4
3) 4 : 5 : 6
4) 15 : 12 : 10

Correct Answer: 15 : 12 : 10

QID : 112 - Average of 36 results is 18. If 2 is subtracted from each result, then what will be the new average of the results?

Options:

1) 9
2) 16
3) 17
4) 17.5

Correct Answer: 16

QID : 113 - The average marks obtained by 140 students in an examination is 90. If the average marks of passed students is 120 and the number of students who failed the examination are 90, then what is the average marks of students who failed the examination?

Options:

1) 60
2) 73.33
3) 85.66
4) 88

Correct Answer: 73.33

QID : 114 - A shopkeeper professes to sell his goods at cost price but uses a 930 gm weight instead of 1 kilogram weight. What will be the profit percentage of the shopkeeper?

Options:

1) 3.76
2) 7.52
3) 9.85
4) 10.36

Correct Answer: 7.52

QID : 115 -

Options:

1) 50
2) 66.66
3) 75
4) 87.5

Correct Answer: 87.5

QID : 116 - If the radius of a circle is increased by 50%, then what will be the percentage increase in the area of circle?

Options:

1) 225
2) 125
3) 150
4) 175

Correct Answer: 125

QID : 117 - If the height of cylinder is increased by 35% and radius is increased by 10%, then what will be the percentage increase in curved surface area of cylinder?

Options:

1) 46.5
2) 45
3) 48.5
4) 49.7

Correct Answer: 48.5

QID : 118 - A boat goes 2 km upstream and 3 km downstream in 20 minutes. It goes 7 km upstream and 2 km downstream in 53 minutes. What is speed (in km/h) of the boat in still water?

Options:

1) 75/7
2) 120/7
3) 135/7
4) 150/7

Correct Answer: 135/7

QID : 119 - A train can travel 25% faster than a car. Both start from point A at the same time and reach point B 165 km away at the same time. On the way the train takes 40 minutes for stopping at the stations. What is the difference in the speeds (in km/hr) of train and car?

Options:

1) 6.375
2) 7.635
3) 9.75
4) 12.375

Correct Answer: 12.375

QID : 120 - An amount was lent for one year at the rate of 18% per annum compounding annually. Had the compounding been done half yearly, the interest would have increased by 324. What was the amount (in Rs) lent?

Options:

1) 32000
2) 36000
3) 40000
4) 72000

Correct Answer: 40000

QID : 121 - A certain sum becomes 5 times in 3 years, at simple interest, then in how many years it will become 13 times?

Options:

1) 6
2) 15
3) 9
4) 12

Correct Answer: 9

QID : 122 -

What is the total runs scored by Kohli against 5 teams?

Options:

1) 5000
2) 4800
3) 4700
4) 4500

Correct Answer: 4800

QID : 123 -

What is the difference between the total runs scored by Kohli against the teams Q and R and total runs scored by Sharma against the teams Q and R?

Options:

1) 200
2) 400
3) 900
4) 800

Correct Answer: 800

QID : 124 -

Runs scored by Kohli against team S is how much percent less than the runs scored by Sharma against team S?

Options:

1) 70.21
2) 68.33
3) 58.33
4) 41.66

Correct Answer: 58.33

QID : 125 -

Total runs scored by Sharma against 5 teams is what percent of total runs scored by Kohli against 5 teams?

Options:

1) 104.16
2) 96
3) 98.13
4) 108.24

Correct Answer: 104.16

QID : 126 - If the height of a given cone becomes four times and the radius of the base becomes twice, then what is the ratio of the volume of the given cone and the volume of the new cone?

Options:

1) 1 : 4
2) 1 : 8
3) 1 : 16
4) 1 : 32

Correct Answer: 1 : 16

QID : 127 - Parallel sides of a trapezium are 26 cm and 40 cm and the area is 792 cm2. What is the value of the distance (in cm) between parallel sides?

Options:

1) 24
2) 48
3) 12
4) 36

Correct Answer: 24

QID : 128 - The area of a circle is same as the area of a square. What is the ratio of the diameter of the circle and diagonal of the square?

Options:

1) 1 : √π
2) 2 : √π
3) √2 : √π
4) 1 : π

Correct Answer: √2 : √π

QID : 129 - If the perimeter of a rhombus is 40 cm and one of its diagonal is 16 cm, then what is the area (in cm²) of the rhombus?

Options:

1) 72
2) 48
3) 96
4) 192

Correct Answer: 96

QID : 130 - Two identical circles intersects so that their centres and the points at which they intersect form a square of side 2 cm. What is the area (in cm²) of the portion that is common to the two circles?

Options:

1) 2π - 4
2) 4π - 8
3) 3π - 4
4) π - 2

Correct Answer: 2π - 4

QID : 131 - If x - y = 3, then what is the value of x³ - y³ - 9xy?

Options:

1) 3
2) 9
3) 18
4) 27

Correct Answer: 27

QID : 132 -

Options:

1) 54
2) 108
3) 702
4) 810

Correct Answer: 702

QID : 133 -

Options:

1) 0
2) 1
3) 3
4) 6

Correct Answer: 0

QID : 134 -

Options:

1) 0
2) 1
3) -1
4) 3

Correct Answer: -1

QID : 135 - What is the simplified value of (x¹²⁸ + 1)(x³² + 1)(x⁶⁴ + 1)(x¹⁶ + 1)(x⁸ + 1)(x⁴ + 1)(x² + 1)(x + 1)?

Options:

QID : 136 - DEF is an isosceles triangle with such that DE = DF = 60 cm and EF = 96 cm. DG is a median to base EF. What is the length (in cm) of DG?

Options:

1) 22
2) 36
3) 24
4) 32

Correct Answer: 36

QID : 137 - In ΔABC, AD and AE are bisectors of ∠BAC and ∠BAD respectively. If ∠BAE = 30°, AE = 9 cm and EC = 15 cm, what is the area (in cm²) of ΔAEC?

Options:

1) 36
2) 54
3) 72
4) 216

Correct Answer: 54

QID : 138 - Circum-centre of ΔPQR is O. If ∠QPR = 55° and ∠QRP = 75°, what is the value (in degrees) of ∠OPR?

Options:

1) 45
2) 40
3) 65
4) 70

Correct Answer: 40

QID : 139 - A chord of length 120 cm is at a distance of 32 cm from the centre of a circle. What is the radius (in cm) of the circle?

Options:

1) 96
2) 34
3) 72
4) 68

Correct Answer: 68

QID : 140 - ABC is a equilateral triangle. O is the point of intersection of altitudes AL, BM and CN. If OA = 16 cm, then what is the semi-perimeter (in cm) of the triangle ABC?

Options:

1) 8√3
2) 12√3
3) 16√3
4) 24√3

Correct Answer: 24√3

QID : 141 -

Options:

1) 1/2
2) √3/2
3) 1
4) 1/√2

Correct Answer: √3/2

QID : 142 -

Options:

1) 0
2) 1
3) 1/√3
4) √3

Correct Answer: √3

QID : 143 - If 3 cot θ = 4 cos θ, then what is the value of cos 2θ?

Options:

1) 2/16
2) - 1/8
3) 7/16
4) 9/16

Correct Answer: - 1/8

QID : 144 - A person observes that the angle of elevation of the top of a pole of height 15 m is 30°. What is the distance (in metres) of the person from the pole?

Options:

1) 15
2) 15√3
3) 15/√3
4) 30

Correct Answer: 15√3

QID : 145 - If cosec² θ + cot² θ = 7, then what is the value (in degrees) of θ?

Options:

1) 15
2) 30
3) 45
4) 60

Correct Answer: 30

QID : 146 -

If the total salary of the person is Rs 50000, then what will be the expenditure (in Rs) on Rent?

Options:

1) 16000
2) 12000
3) 7000
4) 8000

Correct Answer: 8000

QID : 147 -

What is the central angle (in degrees) made by the sector of expenditure on Education?

Options:

1) 93.6
2) 88.2
3) 84.3
4) 95.2

Correct Answer: 93.6

QID : 148 -

The expenditure on food is how much percent more than the expenditure on Savings?

Options:

1) 12.21
2) 15
3) 13.04
4) 11

Correct Answer: 15

QID : 149 -

If the expenditure incurred on Clothes is Rs 3000, then what is the expenditure (in Rs) incurred on Education?

Options:

1) 4300
2) 5050
3) 5200
4) 5600

Correct Answer: 5200

QID : 150 -

The central angle made by the sector of expenditure on Fuel is how much more (in degrees) than the central angle made by the sector of expenditure on Clothes, if the ratio of the expenditure on Fuel and Clothes is 4 : 3 respectively?

Options:

1) 18
2) 32
3) 36
4) 45

Correct Answer: 18

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