Mission CGL Mains 2015 : Quant Quiz

1.Two pipes can fill a cistern in 3 hours and 4 hours respectively and a waste pipe can empty it in 2 hours. If all the three pipes are kept open. Then the cistern will be filled in :

(1) 5 hours

(2) 8 hours

(3) 10 hours

(4) 12 hours

2.A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days, B had to leave and A alone completed the remaining work. The whole work was completed in :

(1) 10 days

(2) 8 days

(3) 12 days

(4) 15 days

3.An article is sold at a profit of 20%. If it had been sold at a profit of 25%, it would have fetched Rs. 35 more. The cost price of the article is :

(1) Rs. 650

(2) Rs. 700

(3) Rs. 750

(4) Rs. 800

4.A tradesman sold an article at a loss of 20%. If the selling price had been increased by Rs. 100, there would have been a gain of 5%. The cost price of the article was :

(1) Rs. 200

(2) Rs. 25

(3) Rs. 400

(4) Rs. 250

5.If the ratio of areas of two squares is 225 : 256, then the ratio of their perimeters is :

(1) 225 : 256

(2) 256 : 225

(3) 15 : 16

(4) 16 : 15

6.The percentage increase in the area of a rectangle, if each of its sides is increased by 20%, is :

(1) 40%

(2) 42%

(3) 44%

(4) 46%

7.A number is increased by 20% and then again by 20%. By what per cent should the increased number be reduced so as to get back the original number?

(1) 30(5/9)%

(2) 19(11/31)%

(3) 40%

(4) 44%

8.A boy, after giving away 80% of his pocket money to one companion and 6% of the remainder to another, has 47 paise left with him. How much pocket money did the boy have in the beginning?

(1) Rs. 2

(2) Rs. 2.50

(3) Rs. 5

(4) Rs. 10

9.If the compound interest on a sum for 2 years at 12(1/2)% per annum is Rs. 510, the simple interest on the same sum at the same rate for the same period of time is :

(1) Rs. 400

(2) Rs. 480

(3) Rs. 450

(4) Rs. 460

10.5 persons can prepare an admission list in 8 days working 7 hours a day. If 2 persons join them so as to complete the work in 4 days, they need to work per day for :

(1) 10 hours

(2) 9 hours

(3) 12 hours

(4) 8 hours

Answers and Solution:
1.(4)
Part of the cistern filled in 1 hour
= 1/3 +1/4 - 1/2
= 1/12
Hence ,the cistern will be filled in 12 hours.

2.(3)
Work done by(A+B) in 1 day = 1/15+1/10 = = 1/6
so (A+B)'s 2 days work 2/6 = 1/3
Remaining work = 1 - 1/3 = 2/3
This part is done by A alone
1 work is done by A in 15 days
so 2/3 work is done in 15*2/3= 10 days.
Required number of days= 12 days

3.(2)
Let the cost price be Rs.x
so 125% of x - 120% of x = 35
x = 700

4.(3)
Let C.P of article be Rs.x.
so 105% of x - 80% of x = 100
= 25% of x = 100
so x = 400

5.(3)
6.(3)
Net Effect = (20+20+(20*20)/100)%
= 44%
7.(1)
Let the number be 100.
After 20% increase,number = 120
number = 120*120/100 = 144
so percent decrease = 44/144*100 = 30(5/9)%

8.(2)
Let the boy had Rs.x
Money given to first companion = 80% of x = 4x/5
Remaining money = x - 4x/5 = x/5
Money given to another companion = 6/100*x/5 = 3x/250
Remaining money = x/5 - 3x/250
so 47x/250 = 47/100
x = Rs. 2.50

9.(2)
10.(1)
persons 7 : 5
                         :: 7 : x  
Days    4 : 8
so 7 * 4 * X = 5*8*7
so x = 10 days