﻿ SSC - CGL Quantitative Aptitude Solved Question Paper 2011 | Previous Year Papers | Zigya

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Quantitative Aptitude

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# SSCCGL Quantitative Aptitude Solved Question Paper 2011

#### Multiple Choice Questions

104.

Walking 6/7 of his usual speed, a man is 12 min too late. The usual time taken by him to cover that distance is

• 1 hr

• 1 h 12 min

• 1 h 15 min

• 1 h 20 min

B.

1 h 12 min

New speed  = 6/7 of usual speed.
As speed and time are inversely proportional to each other.
∴   New time = 7/6 of usual time
Now,
(7/6 of usual time) - (usual time) = 12/60 = 1/5 hr 54 Views

103.

The cost of an apple is twice that of a banana and the cost of banana is 25% less than that of a guava. If the cost of each type of fruit increases by 10%, then the percentage increase in cost of 4 bananas, 2 apples and 3 guavas is

• 10%

• 12%

• 16%

• 18%

A.

10%

Let the cost of one banana = ₹ 100
∴       cost of an apple  = ₹ 200
cost of guava: Total cost of 4 bananas, 2 apples and 3 guavas
= (4 x 100) + (2 x 200) + (3 x 400/3) = ₹ 1200  ...(i)

After 10% increase in the cost of all fruits
New cost of banana = ₹ 110
cost of an apple = 220
cost of a guava = 440/3

Total cost of 4 bananas, 2 apples and 3 guavas after increase of 10%:
(4 x 110) + (2 x 220) + (3 x 440/3) = ₹ 1320  ...(ii)

From (i) and (ii),
Required percentage increase: 97 Views

101.

A reduction of 20% in the price of an apple enables a man to buy 10 apples more for ₹ 54. The reduced price of apple per dozen is

• ₹ 4.32

• ₹ 12.96

• ₹ 10.80

• ₹ 14.40

B.

₹ 12.96

Shortcut Method:
20% of ₹ 54 = 10 apples
10.8 = 10 apples
Reduced price per apple: ∴  Reduced price per dozen:
= ₹ 1.08 x 12 = ₹ 12.96

84 Views

109.

A hemisphere and a cone have equal bases. If their heights are also equal, the ratio of their curved surfaces will be

• • • 1 : 2

• 2 : 1

B. Height of cone = Base radius of hemisphere = r unit.
∴   Slant height of cone (l) = ∴   Required ratio of curved surface area of hemisphere and a cone 55 Views

102.

Price of a commodity has increased by 60%. By what percent must a consumer reduce the consumption of the commodity so as not to increase the expenditure?

• 37

• 37.5

• 40.5

• 60

B.

37.5

Required per cent reduced: 38 Views

108.

If the difference between SI and CI for 2 yr on a sum of money lent at 5% is ₹ 6, then the sum is

• ₹ 2200

• ₹ 2400

• ₹ 2600

• ₹ 2000

B.

₹ 2400 39 Views

110.

If the value of 5x2 - 5x - 1 is

• 0

• 3

• 4

• 5

C.

4 ∴    5x2 - 5x - 1 34 Views

105.

If I walk at 5 km/h, I miss a train by 7 min. If, however, I walk at 6 km/h, I reach the station 5 min before the departure of the train. The distance (in km) between my house and the station is

• 6

• 5

• 4

• 3

A.

6

Shortcut Method:  34 Views

106.

₹ 800 becomes ₹ 956 in 3 yr at a certain rate of simple interest. If the rate of interest is increased by 4%. What amount will ₹ 800 become in 3 yr?

• ₹ 1020.80

• ₹ 1025

• ₹ 1052

• ₹ 1050

C.

₹ 1052

Simple interest (SI) for 3yr  = ₹ 956  - ₹ 800 = ₹ 156  New rate = (6.5 + 4) = 10.5%
Again, ∴   After 3 yr, amount = 800 + 252 = ₹ 1052

26 Views

107.

Simple interest on a certain sum is 16/25 of the sum. The rate of per cent, if the rate per cent and time (in yr) are equal to

• 6%

• 8%

• 10%

• 12%

B.

8% r = t (given) 26 Views