﻿ A number is decreased by 10% and the resulting number is again decreased by 20%. What is the final percentage of decrease? from Quantitative Aptitude SSC - CGL Year 2016 Free Solved Previous Year Papers

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Quantitative Aptitude

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# SSCCGL Quantitative Aptitude Solved Question Paper 2016

#### Multiple Choice Questions

58.

If x, y and z are real numbers such that (x - 3)2 + (y - 4)2 + (z - 5)2 = 0, then (x + y + z) is equal to

• -12

• 0

• 8

• 12

D.

12

x - 3 = 0   ⟹  x = 3
y - 4 = 0   ⟹  y = 4
z - 5 = 0  ⟹   z = 5
∴    (x + y + z) = (3 + 4 + 5) = 12

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57.

The sum of money that will yield ₹ 60/- as simple interest at 6% per annum in 5 years is

• ₹ 200/-

• ₹ 225/-

• ₹ 175/-

• ₹ 300/-

A.

₹ 200/-

S.I. = ₹ 60
Time (n)=  5 years
R = 6% p.a.
100 S.I. = PRT
100 X 60 = P x 6 x 5
P = ₹ 200/-

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54.

If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit percent is:

• 20%

• 25%

• 15%

• 5%

B.

25%

Shortcut Method:
Required Profit percentage =

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51.

A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in

A.

A and B together can do a piece of work :

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53.

A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litre more than water, the quantity of spirit in the mixture is

• 12 litre

• 10 litre

• 9 litre

• 8 litre

C.

9 litre

Let the quantity of spirit in the mixture  = 3x
quantity of water in the mixture = 2x
According to the question,
3x - 2x = 3;  x = 3 litre
∴   Quantity of spirit in the mixture  = 3 x 3 = 9 litre

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59.

If  then the value of  is

• 1/4

• 1/6

• 1/5

• 1/7

D.

1/7

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56.

The distance between two places A and B is 60 km. Two cars start at the same time from A and B, travelling at a speed of 35 km/hr and 25 km/hr respectively. If the cars run in the same direction, then they will meet after (in hours):

• 6.5

• 6.2

• 6

• 6.52

C.

6

As the cars run in the same direction
∴  Relative speed = (35  - 25) km/hr = 10 km/hr
Distance = 60 km
Required time:

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60.

The orthocentre of a triangle is the point where

• the medians meet

• the altitudes meet

• the right bisectors of the sides of triangle meet

• the bisectors of the angles of triangle meet

B.

the altitudes meet

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52.

A retailer gets a discount of 40% on the marked price of an article. The retailer sells it at the printed price. His gain percent is

• 40%

• 55%

• 75%

C.

Let the marked price of article be Rs. 100
∴ Cost price of an article for the retailer

Selling price of article would be the (marked price) Rs. 100
∴  Required gain percentage

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# 55.A number is decreased by 10% and the resulting number is again decreased by 20%. What is the final percentage of decrease? 25% 26% 27% 28%

D.

28%

Net percentage decrease:

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