# SSC CGL 2018 Practice Test Papers | Quantitative Aptitude (Day-33)

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SSC CGL 2018 | Quantitative Aptitude (Day-33)

maximum of 10 points

Click โStart Quizโ to attend these Questions and view Explanation

1) The ratio of present age of Arun to that of Bharat is 9 : 10. 8 years ago the ratio of 1/7 of the Arunโs age that time to ยผ of Bharatโs age that time was 1 : 2.

Quantity I: Present age of Arun
Quantity II: The age of Bharat 4 years before

a) Quantity I<Quantity II

b) Quantity I= Quantity II

c) Quantity I> Quantity II

d) Quantity Iโค Quantity II

2) A piece of work is to be completed in 100days, 11 Men are employed to do the work it is found that after 50 days only 1/3 rd work is completed. Now additionally how many more Men are to be employed to work to finish the work in time?

a) 5
b) 6
c) 7
d) 11

3) B and C are equally efficient but the efficiency of A is half of the each B and C. A and B started a work and 3 days later C joined them. If A alone can do the same work in 14 days, then in how many more days the work will be completed?ย

a) 1
b) 2
c) 3
d) 4.5

4) A Container has 140 liter of mixture of acid and water, in which water is 10%. 30 liter of this mixture was taken out and replaced with โXโ liter acid. If the resultant quantity of acid in the mixture was 112 liter, what is the value of X?

a) 11
b) 12
c) 13
d) 14

5) Poojaโs downstream swimming rate is four times of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream?

a) 72 km
b) 86 km
c) 96 km
d) 82 km
6) If 1 is added to both the numerator and the denominator of a fraction, it becomes1 /4. Ifย 2 is added to both the numerator and the denominator of that fraction, it becomes 1 /3.The sum of numerator and denominator of the fraction is โ

a) 10

b) 8

c) 15

d) 12

7) From a solid cylinder of height 15 cm and radius of the base 8 cm, a cone of same height and same base is removed. The volume of the remaining solid is โ

a) 240ฯcm3

b) 5280 ฯcm3

c) 640ฯcm3

d) 360ฯcm3

8) Simplify:

a) โ3 (โ2 -1)

b) โ2 (โ3 -1)

c) โ3โ1

d) โ2โ1

9)

a) 45

b) 64

c) 100

d) 80

10) By selling an article at two third of actual selling price, a loss of 20 % is incurred. What is the profit percentage on selling the article at its actual selling price?

a) 20%

b) 30%

c) 25%

d) 40%

11 men complete 1/3 of work in 50 days.

So, 22 men complete 2/3 of work in 50 days

Additional men required= 22-11=11

Efficiency of A: B: C = 1:2:2

Let Total work =14

(1+2) ร 3 + (1+2+2) x = 14

5X = 14 โ 9 = 5

X = 1

Mixtureย ย ย ย ย  Acidย ย ย ย ย ย  Water

140ย ย ย ย ย ย ย ย ย ย ย  126ย ย ย ย ย ย ย ย ย ย  14

After taking 30 liters from the mixture

110ย ย ย ย ย ย ย ย ย ย ย ย  99ย ย ย ย ย ย ย ย ย ย ย ย ย  11

Replaced with X liter of acid

Quantity of acid after replacement of acid =112

Quantity of X = 112 โ 99 = 13

In upstream, Distance= 12 km

Time= 2.5 hours

Upstream Speed= 12/2.5= 4.8 km/hr

Downstream speed= 4(Upstream speed)

Downstream speed= 4(4.8) = 19.2 km/hr

Distance covered in 5 hours downstream= 19.2 x 5 = 96 km

The volume of remaining solid = ฯ (8)2 x15 โ 1/3xฯ (8)2.15

= 640ฯ cm3

Let SP = 300

2/3 of SP = 2/3ร300 = 200

A loss of 20% is obtained on SP at 2/3 of SP

CP = 200ร100/80 = 250

Profit % on selling at actual selling price= 50/250ร100 = 20%

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