# SSC CPO Exam Paper - 2017 "held on 02 July 2017" Shift-1 (Quantitative Aptitude)

## SSC CPO Exam Paper - 2017 "held on 02 July 2017" Shift-1

## (Quantitative Aptitude)

**QID : 101 -** If N = (√6 - √5)/(√6 + √5), then what is the value of N + (1/N)?

**Options:**

1) 10

2) 11

3) 12

4) 22**Correct Answer:** 22

**QID : 102 -** What is the simplified value of (3 + 1)(32 + 1)(34 + 1)(38 + 1)(316 + 1)?

**Options:**

1) (332 - 1)/2

2) (316 - 1)/2

3) (364 - 1)/2

4) (3128 - 1)/2**Correct Answer:** (332 - 1)/2

**QID : 103 -** Which value among √11 + √5, √14 + √2, √8 + √8 is the largest?

**Options:**

1) √11 + √5

2) √14 + √2

3) √8 + √8

4) All are equal

**Correct Answer:** √8 + √8

**QID : 104 - **

**Options:**

1) 0.1

2) 0.4

3) 0.5

4) 0.6**Correct Answer:** 0.4

**QID : 105 -** How many positive factors of 36 are there?

**Options:**

1) 4

2) 6

3) 9

4) 12**Correct Answer:** 9

**QID : 106 -** Two taps A and B can fill a tank in 10 hours and 12 hours respectively. If the two taps are opened at 10 a.m., then at what time (in p.m.) should the tap A be closed to completely fill the tank at exactly 4 p.m.?

**Options:**

1) 2

2) 3

3) 1

4) 1:30**Correct Answer:** 3

**QID : 107 -** Vijay and Sahil together complete a piece of work in 40 days, Sahil and Ranjit can complete the same work in 48 days and Ranjit and Vijay can complete the same work in 60 days. In how many days can all the three complete the same work while working together?

**Options:**

1) 16

2) 24

3) 32

4) 38**Correct Answer:** 32

**QID : 108 -** The marked price of an article is 50% more than its cost price. If 20% discount is given, then what will be the profit percentage?

**Options:**

1) 20

2) 25

3) 30

4) 50**Correct Answer:** 20

**QID : 109 -** After giving 40% discount on an article there is still a profit of 20%. What will be the profit percentage when no discount is given?

**Options:**

1) 60

2) 68

3) 78

4) 100**Correct Answer:** 100

**QID : 110 -** The ratio of two numbers is 4 : 5. If both numbers are increased by 4, the ratio becomes 5 : 6. What is the sum of the two numbers?

**Options:**

1) 9

2) 18

3) 27

4) 36**Correct Answer:** 36

**QID : 111** - If 2A = 3B, then what is the value of (A + B)/A?

**Options:**

1) 5/4

2) 2/3

3) 5/2

4) 5/3**Correct Answer:** 5/3

**QID : 112 -** The average marks obtained by 180 students in an examination is 50. If the average marks of passed students is 80 and that of the failed students is 40, then what is the number of students who failed the examination?

**Options:**

1) 90

2) 135

3) 100

4) 45**Correct Answer:** 135

**QID : 113 -** The average age of four members of a family is 32 years. If the age of a guest is included, then the average age increases by 12.5%. What is the age (in years) of the guest?

**Options:**

1) 52

2) 56

3) 44

4) 12**Correct Answer:** 52

**QID : 114 -** If the selling price of 318 articles is equal to the cost price of 212 articles, then what is the loss percentage?

**QID : 115 -** Profit obtained on selling an article for Rs 310 is equal to the loss incurred on selling that article for Rs 230. What will be the loss percentage when selling price is Rs 180?

**QID : 116 -** P is 20% more than Q and 40% less than R. If value of Q is Rs 150, then what is the value of R (in Rs)?

**Options:**

1) 300

2) 320

3) 220

4) 250**Correct Answer:** 300

**QID : 117 -** The price of motorcycle depreciates every year by 8%. If the value of the motorcycle after 2 years will be Rs 84640, then what is the present value (in Rs) of the motorcycle?

**Options:**

1) 90000

2) 102000

3) 110000

4) 100000**Correct Answer:** 100000

**QID : 118 -** Diameter of a cycle wheel is 14 cm. A cyclist takes 30 minutes to reach a destination at a speed of 11 km/h. How many revolutions will the wheel make during the journey?

**Options:**

1) 12500

2) 15000

3) 17750

4) 20000**Correct Answer: **12500

**QID : 119 -** A bus left 60 minutes later than the scheduled time but in order to reach its destination 48 km away in time, it had to increase the speed by 4 km/hr from the usual speed. What is usual speed (in km/hr) of the bus?

**Options:**

1) 9

2) 12

3) 15

4) 8**Correct Answer:** 12

**QID : 120 -** If a certain sum becomes 2 times in 7 years at compound interest, then in how many years, it will become 8 times?

**Options:**

1) 14

2) 21

3) 28

4) 35**Correct Answer:** 21

**QID : 121 -** A certain sum becomes Rs 1020 in 5 years and Rs 1200 in 8 years at simple interest. What is the value of principal?

**Options:**

1) 820

2) 780

3) 700

4) 720**Correct Answer:** 720

**QID : 122 -**

What is the total value of revenue of the firm (in crores Rs) in years 2010, 2011 and 2012?

**Options:**

1) 910

2) 930

3) 950

4) 1020**Correct Answer: **930

**QID : 123 -**

By what percentage has the revenue of the firm decreased in 2010 with respect to the last year?

**Options:**

1) 15.38

2) 14.44

3) 11.11

4) 13.33**Correct Answer: **13.33

**QID : 124 -**

In how many years, the revenue of the firm is less than the average revenue for these 8 years?

**Options:**

1) 3

2) 4

3) 5

4) 6**Correct Answer:** 4**QID : 125 -**

In which year the firm has shown maximum percentage increase in its revenue with respect to the previous year?

**Options:**

1) 2011

2) 2014

3) 2016

4) All are equal

**Correct Answer:** 2014

**QID : 126 -** If diagonals of a rhombus are 12 cm and 16 cm, then what is the perimeter (in cm) of the rhombus?

**Options:**

1) 20

2) 40

3) 60

4) 80**Correct Answer:** 40

**QID : 127 - **Three spherical balls of radius 2 cm, 4 cm and 6 cm are melted to form a new spherical ball. In this process there is a loss of 25% of the material. What is the radius (in cm) of the new ball?

**Options:**

1) 6

2) 8

3) 12

4) 16**Correct Answer:** 6

**QID : 128 -** The ratio of curved surface area of two cones is 1 : 8 and the ratio of there slant heights is 1 : 4. What is the ratio of the radius of the two cones?

**Options:**

1) 1 : 1

2) 1 : 2

3) 1 : 4

4) 1 : 8**Correct Answer:** 1 : 2

**QID : 129 -** The perimeter of base of a right circular cone is 44 cm. If the height of the cone is 24 cm, then what is the curved surface area (in cm2) of the cone?

**Options:**

1) 550

2) 1100

3) 2200

4) 650**Correct Answer: **550

**QID : 130 - **A cuboid which sides 6 cm, 9 cm and 32 cm is melted to form a new cube. What is the ratio between the total surface area of the cuboid and that of the cube?

**Options:**

1) 93 : 71

2) 108 : 113

3) 297 : 220

4) 89 : 72**Correct Answer: **89 : 72

**QID : 131 -** When a = 61, b = 63 and c = 65, then what is the value of a^{3} + b^{3} + c^{3} - 3abc?

**Options:**

1) 1456

2) 2268

3) 4536

4) 5460**Correct Answer:** 2268

**QID : 132 -** If x = 3 - 2√2, then √x + (1/√x) is equal to ____.

**Options:**

1) 0

2) 1

3) 2

4) 2√2**Correct Answer: **2√2

**QID : 133 -**

**Options:**

1) 0

2) 1

3) 3/2

4) 3**Correct Answer: **3/2

**QID : 134 -****Options:**

1) 2

2) √15/2

3) √5

4) √3**Correct Answer:** √15/2

**QID : 135 -****Options:**

1) 0

2) 1/3

3) 1

4) 3**Correct Answer**: 3

**QID : 136 -** What is the ratio of in-radius and circum-radius of an equilateral triangle?

**Options:**

1) 1 : 2

2) 1 : 3

3) 1 : 4

4) 3 : 2**Correct Answer: **1 : 2

**QID : 137 **- In ΔPQR, ∠P : ∠Q : ∠R = 1 : 3 : 5. What is the value (in degrees) of ∠R - ∠P?

**Options:**

1) 30

2) 80

3) 45

4) 60**Correct Answer: **80

**QID : 138 -** A circular wire of length 168 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 5 : 7. What is the length (in cm) of the diagonal of the rectangle?

**Options:**

1) √4127

2) √3137

3) √1813

4) √3626**Correct Answer: **√3626

**QID : 139 -** In ΔABC, a line parallel to side BC cuts the side AB and AC at points D and E respectively and also point D divide AB in the ratio of 1 : 4. If area of ΔABC is 200 cm2, then what is the area (in cm2) of quadrilateral DECB?

**Options:**

1) 192

2) 50

3) 120

4) 96**Correct Answer: **192

**QID : 140 -****Options:**

1) 45

2) 30

3) 40

4) 60**Correct Answer: **60

**QID : 141 -**

**QID : 142 -**

**QID : 143 - **If sin θ + sin^{2} θ = 1, then what is the value of (cos^{12} θ + 3 cos^{10} θ + 3 cos^{8} θ + cos^{6} θ - 1)?

**Options:**

1) -1

2) 0

3) 1

4) 2**Correct Answer:** 0

**QID : 144 -****Options:**

1) 2/3

2) 6/5

3) 3/4

4) 7/6**Correct Answer:** 6/5

**QID : 145 -****Options:**

1) 30

2) 45

3) 60

4) 90**Correct Answer: **45

**QID : 146 -**

If the number of cars sold of model D is 40500, then how many more cars of model E are sold than that of A?

**Options:**

1) 8100

2) 16200

3) 24300

4) 13500**Correct Answer: **13500

**QID : 147 -**

If the number of cars sold of model D is 40500, what is the ratio between the number of cars sold of model D and E?

**Options:**

1) 9 : 5

2) 6 : 5

3) 11 : 9

4) 9 : 7**Correct Answer:** 6 : 5

**QID : 148 -**

If the number of cars sold of model D is 72900, then what is the total number of cars sold of all the models together by the company?

**Options:**

1) 291600

2) 208100

3) 162000

4) 214160**Correct Answer:** 291600]**QID : 149 -**

If number of cars sold of model C are 22000, then what will be the difference in the number of cars sold of model A and B?

**Options:**

1) 800

2) 1200

3) 1000

4) 1500**Correct Answer: **1000

**QID : 150 -**

If 5% of the total number of cars sold of model E is 750, then what is the average number of cars sold of all the models?

**Options:**

1) 15000

2) 14400

3) 16800

4) 14000**Correct Answer:** 14400