# SSC CPO Exam Paper - 2017 "held on 02 July 2017" Shift-2 (Quantitative Aptitude)

Submitted by root on Tue, 08/29/2017 - 15:24

## SSC CPO Exam Paper - 2017 "held on 02 July 2017" Shift-2

## (Quantitative Aptitude)

**QID : 301 -** If P = (√7 - √6)/(√7 + √6), then what is the
value of P + (1/P)?

**Options:**

1) 12

2) 13

3) 24

4) 26**Correct Answer:** 26**QID : 302 **- Which value among 3^{200}, 2^{300}
and 7^{100} is the largest?

**Options:**

1) 3200

2) 2300

3) 7100

4) All are equal**Correct Answer:** 3200**QID : 303 **- What is the value of 3^{2} + 7^{2}
+ 11^{2 }+ 13^{2} + 17^{2} - 1^{2} - 5^{2}
- 9^{2} - 11^{2} - 15^{2}?

**Options:**

1) 5

2) 72

3) 92

4) 184**Correct Answer: **184

**QID : 305 -** How many positive factors of 40 are there?

**Options:**

1) 3

2) 4

3) 6

4) 8**Correct Answer:** 8**QID : 306** - A is 20% more efficient than B. If B alone can
complete a piece of work in 12 days, then A alone can complete the same work in
how many days?

**Options:**

1) 10

2) 12

3) 14

4) 16**Correct Answer:** 10**QID : 307 **- A and B together can complete a work in 10 days.
They started together but A left after 2 days and the remaining work was
completed by B in 12 days. In how many days can A complete the entire work while
working alone?

**Options:**

1) 15

2) 20

3) 30

4) 45**Correct Answer: **30**QID : 308 **- What will be the net discount (in percentage) after
two successive discounts of 50% and 50%?

**Options:**

1) 85

2) 75

3) 100

4) 95**Correct Answer: **75**QID : 309 **- An article is sold for Rs 5330 after a discount of
18%. What is the marked price (in Rs) of the article?

**Options:**

1) 6250

2) 6450

3) 6800

4) 6500**Correct Answer: **6500**QID : 310 **- Raman, Rohit and Raja are partners and invest in a
business. Raman invests 1/4th of total and Rohit invest 1/3th of the total. What
is the ratio of profit of Raman, Rohit and Raja respectively?

**Options:**

1) 4 : 3 : 1

2) 3 : 4 : 4

3) 3 : 4 : 5

4) 4 : 3 : 5**Correct Answer: **3 : 4 : 5**QID : 311** - If a - b : b - c : c - d = 1 : 2 : 3, then what is
the value of (a + d) : c?

**Options:**

1) 1 : 2

2) 2 : 1

3) 4 : 1

4) 3 : 1**Correct Answer**: 2 : 1**QID : 312 - **The average age of Rustam and Preetam is 39 years.
The average age of Preetam and Geetam is 28 years. The average age of Rustam and
Geetam is 34 years. What will be the age (in years) of the youngest of the three
after 10 years?

**Options:**

1) 13

2) 23

3) 33

4) 43**Correct Answer:** 33**QID : 313 -** The average age of 6 members of a family is 25
years. If the youngest member of the family is 15 years old, then what was the
average age (in years) of the family at the time of the birth of the youngest
member?

**Options:**

1) 9

2) 12

3) 18

4) 24**Correct Answer: **12**QID : 314 -** On an article the profit is 230% of the cost price.
If the cost price increases by 50% but the selling price remains constant, then
what is the new profit percentage?

**Options:**

1) 54.54

2) 80

3) 120

4) 150**Correct Answer:** 120**QID : 315 -** A trader buys two articles for Rs 4000 each. While
selling if he gains 12.5% on one and losses 20% on the other, then what will be
the overall loss percentage?

**Options:**

1) 2.5

2) 3.75

3) 5

4) 5.25**Correct Answer:** 3.75**QID : 316 **- X is 30% more than Y and 25% less than Z. If value
of Y is Rs 300, then what is the value (in Rs) of Z ?

Options:

1) 390

2) 400

3) 470

4) 520**Correct Answer:** 520**QID : 317 **- The price of motor cycle depreciates every year by
10%. If the value of the motor cycle after 3 years will be Rs 36450, then what
is the present value (in Rs) of the motor cycle?

**Options:**

1) 45000

2) 50000

3) 48000

4) 51000**Correct Answer:** 50000**QID : 318 -** Two boat are travelling with speed of 36 km/hr and
54 km/hr respectively towards each other. What is the distance (in metres)
between the two boats one second before they collide?

**Options:**

1) 10

2) 15

3) 25

4) 5**Correct Answer:** 25**QID : 319 - **A car left 3 minutes early than the scheduled time
and in order to reach the destination 126 km away in time, it has to slow its
speed by 6 km/h from the usual. What is the usual speed (in km/hr) of the car?

**Options:**

1) 56

2) 63

3) 94.5

4) 126**Correct Answer: **126**QID : 320 **- If a certain sum becomes 3 times in 6 years at
compound interest, then in how many years, it will become 81 times?

**Options:**

1) 81

2) 162

3) 27

4) 24**Correct Answer: **24**QID : 321 -** What is the simple interest on Rs 5400 in 5 years
at the rate of 12% per annum?

**Options:**

1) 2700

2) 2950

3) 3120

4) 3240**Correct Answer:** 3240

**QID : 326 - **The perimeter of base of a right circular cone
is 132 cm. If the height of the cone is 72 cm, then what is the total surface
area (in cm2) of the cone?

**Options:**

1) 6600

2) 6336

3) 4224

4) 5784**Correct Answer: **6336**QID : 327 -** A solid metallic sphere of radius 14 cm is melted
and recast into a cone with diameter of the base as 14 cm. What is the height
(in cm) of the cone?

**Options:**

1) 236

2) 64

3) 112

4) 224**Correct Answer:** 224**QID : 328 **- The radius of a wheel is 21 cm what is the distance
(in cm) travelled by the wheel in 10 revolutions?

**Options:**

1) 660

2) 1320

3) 1980

4) 2640**Correct Answer:** 1320**QID : 329 - **Three circles of radius 21 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) 441√3 - 693

2) 882√3 - 693

3) 882√3 - 462

4) 441√3 - 462**Correct Answer: **441√3 - 693**QID : 330 -** If the perimeter of a square is 80 cm, then what is
the diagonal of the square (in cm)?

Options:

1) 20√2

2) 40√2

3) 80√2

4) 20**Correct Answer:** 20√2**QID :** 331 - If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 11,
then what is the value of x^{3} + y^{3} + z^{3} - 3xyz?

**Options:**

1) 1331

2) 2662

3) 3993

4) 14641**Correct Answer:** 1331

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