# 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 -**3

^{11}+ 3

^{12}+ 3

^{13}+ 3

^{14}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?

**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?

**Options**:

1) 621

2) 667

3) 713

4) 725

1) 3

2) 6

3) 7

4) 8

1) 55

2) 62

3) 74

4) 85

1) 25

2) 22

3) 20

4) 18

1) 36

2) 24

3) 30

4) 18

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) 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?

1) 11.76

2) 16.66

3) 17.12

4) 13.33

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 cm

^{2}) 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 ]

**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) 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

^{2}θ) tan

^{2}θ] + 1?

**Options:**

1) cos

^{2}θ

2) 1

3) sec

^{2}θ

4) cosec θ

**Correct Answer:**sec

^{2}θ

**QID : 144 -**What is the simplified value of [(1 - cos

^{2}θ) cosec

^{4}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 -**

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

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