# SSC CPO Exam Paper - 2017 "held on 04 July 2017" Shift-2 (Quantitative Aptitude)

## SSC CPO Exam Paper - 2017 "held on 04 July 2017" Shift-2

## (Quantitative Aptitude)

**QID : 301 **- If N = (√7 - √5)/(√7 + √5), then what is the
value of 1/N?

**Options:**

1) 6 - √35

2) 6 + √35

3) 7 + √35

4) 7 - √35**Correct Answer: **6 + √35

**QID : 302 -** The sum of three consecutive even numbers is always
divisible by ____.

**Options:**

1) 12

2) 6

3) 18

4) 24**Correct Answer:** 6

**QID : 303 -** How many positive factors of 24 are there?

**Options:**

1) 3

2) 4

3) 6

4) 8**Correct Answer:** 8

**QID : 304 -** 4/5 part of a tank is filled with oil. After taking
out 42 litres of oil the tank is 3/4 part full. What is the capacity (in litres)
of the tank?

**Options:**

1) 420

2) 630

3) 840

4) 1680**Correct Answer: **840

**QID : 305 -** What is the largest four digit number which is a
perfect square?

**Options:**

1) 9704

2) 9801

3) 9901

4) 9999**Correct Answer:** 9801

**QID : 306 -** Two inlet pipes can fill a cistern in 20 and 24
hours respectively and an outlet pipe can empty 160 gallons of water per hour.
All the three pipes working together can fill the empty cistern in 40 hours.
What is the capacity (in gallons) of the tank?

**Options:**

1) 1200

2) 2400

3) 3600

4) 1800**Correct Answer: **2400

**QID : 307 **- P alone can complete the work in 5 days, Q alone
can do same work in 6 days and R alone can do the same work in 12 days. They
jointly complete the work and earn Rs 5400. What is the share of R?

**Options:**

1) 1000

2) 1200

3) 1500

4) 1800**Correct Answer: **1000

**QID : 308 **- After giving two successive discounts of 20% and
25% a cycle is sold for Rs 4200. What is the marked price (in Rs) of the cycle?

**Options:**

1) 7200

2) 7000

3) 6500

4) 6200**Correct Answer:** 7000

**QID : 309 -** The marked price of an article is 60% more than its
cost price. What should be the discount (in %) offered by the shopkeeper so that
he earns a Profit of 12%?

**Options:**

1) 12

2) 25

3) 30

4) 60**Correct Answer: **30**QID : 310 -** The ratio of the speed of P, Q and R is 10 : 12 :
15 respectively. What is the ratio of the time taken by P, Q and R respectively
to cover the same distance?

**Options:**

1) 10 : 12 : 15

2) 15 : 12 : 10

3) 6 : 5 : 4

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

**QID : 311 -** Three bottles of equal capacity are containing a
mixture of milk and water in ratio 2 : 1, 3 : 7 and 4 : 11 respectively. These
three bottles are emptied into a large bottle. What is the ratio of milk and
water respectively in this large bottle?

**Options:**

1) 37 : 53

2) 37 : 90

3) 37 : 30

4) 7 : 30**Correct Answer:** 37 : 53

**QID : 312 - **The average of 11 results is 182. If the average of
first 6 results is 199 and that of the last 6 results is 161, then what will be
the 6th result?

**Options:**

1) 79

2) 118.5

3) 158

4) 237**Correct Answer:** 158

**QID : 313 -** The average of 45 results was calculated as 27 but
later it was found that while calculating 39 was taken as 93 by mistake, then
what will be the correct average?

**Options:**

1) 25.8

2) 26.8

3) 27.2

4) 28.2**Correct Answer: **25.8

**QID : 314 -** A shopkeeper professes to sell his goods at cost
price but uses a 960 gm weight instead of 1 kilogram weight. What is the profit
percentage of the shopkeeper?

**QID : 315 - **A person sold a book for Rs 21 and got a loss
percentage which was numerically equal to the cost price. What is the cost price
(in Rs) of the book?

**Options:**

1) 30

2) 70

3) Both 30 and 70

4) Cannot be determined

**Correct Answer:** Both 30 and 70

** QID : 316 - **If length of a rectangle is increased by 10%
and breadth is increased by 15%, then what will be the percentage increase in
the area of rectangle?

**Options:**

1) 25.5

2) 25

3) 28.4

4) 26.5**Correct Answer: **26.5

**QID : 317 -** If the base of triangle is increased by 10% and
height is decreased by 20%, then what will be the percentage change in the area
of a triangle?

**Options:**

1) 30

2) 20

3) 22

4) 12**Correct Answer: **12

**QID : 318 -** A bus starts running with some initial speed and
its speed increases every hour by 9 km/hr. If it takes 11 hours to cover a
distance of 572 km, then what was the initial speed (in km/hr) of the bus?

**Options:**

1) 3.5

2) 7

3) 10.5

4) 14**Correct Answer:** 7

**QID : 319 - **

**Options:**

1) 3

2) 5

3) 8

4) 11**Correct Answer:** 3

**QID : 320 -** If a certain sum becomes 4 times in 4 years at
compound interest, then in how many years, it will become 64 times?

**Options:**

1) 5

2) 12

3) 16

4) 24**Correct Answer: **12

**QID : 321 **- What is the simple interest on Rs 7200 in 7 years
at the rate of 14% per annum?

**Options:**

1) 6800

2) 6812

3) 7056

4) 7096**Correct Answer: **7056

**QID : 322 - **

What are the total marks obtained by student D in all subjects?

**Options:**

1) 343

2) 355

3) 338

4) 362**Correct Answer: **355

**QID : 323 - **

What is the average of total marks obtained by all six students in subject R?

**Options:**

1) 77.5

2) 76.2

3) 93

4) 83.4**Correct Answer:** 77.5

**QID : 324 - **

What is the aggregate percentage of marks obtained by student C in all the five subjects?

**Options:**

1) 71

2) 75

3) 76

4) 73**Correct Answer: **73**QID : 325 - **

Marks obtained by student B is how much percent more than the marks obtained by
A?

**Options:**

1) 8.3

2) 7.4

3) 9.7

4) 11.1**Correct Answer: **9.7

**QID : 326 - **The perimeter of base of a right circular cone is
88 cm. If the height of the cone is 48 cm, then what is the total surface area
(in cm^{2}) of the cone?

**Options:**

1) 2200

2) 1100

3) 2354

4) 2816**Correct Answer:** 2816**
QID : 327 -** What is the length of the longest rod that can be placed in
a room which is 3 metres long, 4 metres broad and 5 metres high?

**Options:**

1) 5

2) 12

3) 5√2

4) 6√2**Correct Answer:** 5√2

**QID : 328 -** If the area of a square is 48, then what is the
diagonal of the square?

**Options:**

1) 4√6

2) 4√3

3) 4√2

4) 3√6**Correct Answer: **4√6

**QID : 329 - **A cylindrical well of height 20 metres and radius
14 metres is dug in a field 72 metres long and 44 metres wide. The earth taken
out is spread evenly on the field. What is the increase (in metre) in the level
of the field?

**Options:**

1) 6.67

2) 3.56

3) 5.61

4) 4.83**Correct Answer:** 4.83

**QID : 330 -** Radius of hemisphere is thrice than that of a
sphere. What is the ratio of total surface area of hemisphere to that of sphere?

**Options:**

1) 27 : 8

2) 21 : 4

3) 27 : 4

4) 6 : 1**Correct Answer:** 27 : 4

**QID : 331 - **If x + y = 4, then what is the value of x^{3}
+ y^{3} + 12xy?

**Options:**

1) 16

2) 32

3) 64

4) 256**Correct Answer:** 64

**QID : 332 - **

**Options:**

1) 14

2) 2√7

3) 10√2

4) 10**Correct Answer: **14

**QID : 333 -** If 3x - [1/(3x)] = 9, then what is the value of x^{2}
+ [1/(81x^{2})]?

**Options:**

1) 7

2) 83/9

3) 11

4) 121/9**Correct Answer**: 83/9

**QID : 334 **- If x^{3} - y^{3} = 112 and x - y =
4, then what is the value of x^{2} + y^{2}?

**Options:**

1) 16

2) 20

3) 24

4) 28**Correct Answer:** 24

**QID : 335 - **

**Options:**

1) 625

2) 3125

3) 2525

4) 2500**Correct Answer:** 2525

**QID : 336 - **In ΔABC, ∠A : ∠B : ∠C = 3 : 3 : 4. A line parallel
to BC is drawn which touches AB and AC at P and Q respectively. What is the
value of ∠AQP - ∠APQ?

**Options:**

1) 12

2) 18

3) 24

4) 36**Correct Answer: **18

**QID : 337 -**

**Options:**

1) 90

2) 110

3) 160

4) 130**Correct Answer: **160

**QID : 338 - **

**Options:**

1) 134.5

2) 148

3) 166.15

4) 180**Correct Answer: **166.15

**QID : 339 - **The side QR of ΔPQR is produced to S. If ∠PRS =
105° and ∠Q = (1/2)∠P, then what is the value of ∠P?

**Options:**

1) 45

2) 60

3) 70

4) 75**Correct Answer: **70

**QID : 340 - **The perimeter of an isosceles triangle is 64 cm and
each of the equal sides is 5/6 times the base. What is the area (in cm2) of the
triangle?

**Options:**

1) 169

2) 192

3) 196

4) 184**Correct Answer: **192

**QID : 341 - **

**Options:**

1) cosec 2θ

2) sec2 θ

3) cosec θ sec θ

4) tan θ**Correct Answer: **cosec 2θ**QID : 342 - **

**Options:**

1) 2

2) -1

3) -2

4) 1**Correct Answer:** 2

**QID : 343 - **

**Options:**

1) tan θ

2) sin θ

3) cos θ

4) cot θ**Correct Answer: **tan θ

**QID : 344 -** If tan θ tan 5θ = 1, then what is the value of sin
2θ?

**Options:**

1) 0

2) 1/2

3) 1√2

4) √3/2**Correct Answer: **1/2

**QID : 345 -** The angles of elevation of the top of a building
from the top and bottom of a tree are 30° and 60° respectively. If the height of
the tree is 50 m, then what is the height of the building?

**Options:**

1) 50√3

2) 75

3) 50(√3 + 1)

4) 75√3**Correct Answer: **75

**QID : 346 -**

What is the total of marks obtained in Hindi and Maths?

**Options:**

1) 178

2) 172

3) 174

4) 182**Correct Answer:** 174

**QID : 347 - **

The marks obtained in science is what percentage of the total marks?

**Options:**

1) 20.14

2) 18.12

3) 17.16

4) 19.44**Correct Answer:** 19.44

**QID : 348 - **

The marks obtained in Maths is how much percent more than the marks obtained in Social Science?

**Options:**

1) 7.14

2) 14.28

3) 9.13

4) 10.41**Correct Answer:** 14.28

**QID : 349 - **

In how many subjects marks obtained are more than the average marks per subject?

**Options:**

1) 3

2) 1

3) 2

4) 4**Correct Answer: **2

**QID : 350 - **

If the maximum marks per subject is 100, then what is the total marks (in percentage) obtained in English and Hindi together?

Options:

1) 168

2) 68

3) 76

4) 84

Correct Answer: 84