Mission CGL Mains 2015 : Quant Quiz

1.Determine the selling price (in rupees) if the list price is Rs. 1,000 and the two successive discounts are 30% and 20%.

(1) 700

(2) 140

(3) 560

(4) 600

2.An item costing Rs. 300 is being sold at 10% gain. If the selling price is reduced by 15%, what will be the gain or loss per cent ?

(1) 6 1/2% gain

(2) 6 1/2%  loss

(3) 5% loss

(4) 5% gain

3.What is the least number to be added to 920 to make it a perfect square ?

(1) 31

(2) 41

(3) 39

(4) 49

4.If the price of an article increases at the rate of 8% perannum, what will an article cost, at the end of two years, if its present price is Rs. 20,000?

(1) Rs. 23,328

(2) Rs. 22,238

(3) Rs. 21,218

(3) Rs. 20,124

5.The ratio of three numbers is 2 : 3 : 5 and their product is 10290. The numbers respectively are

(1) 35, 21, 14

(2) 21, 14, 35

(3) 14, 21, 35

(4) 14, 35, 21

6.4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. The ratio of the daily work done by a man and a woman is

(1) 11 : 1

(2) 7 : 4

(3) 5 : 3

(4) 9 : 8

7.X invested Rs. 200 more than Y in a business. If X invested his money for 5 months and Y for 4 months, and X gets Rs. 90 more than Y out of a profit of Rs. 510, how much did Y invest ?

(1) Rs. 1,600

(2) Rs. 1,500

(3) Rs. 1,400

(4) Rs. 1,300

8.If the interest period is 3 months, then the compound interest on Rs. 15,000 for 9 months at 8% per annum is 

(1) Rs. 981.21

(2) Rs. 918.12

(3) Rs. 918.21

(4) Rs. 980.12

9.A person wants to divide a sum of Rs. 3,90,300 between his two sons who are 13 and 15 years of age respectively in such a way that their shares, if invested at 4% per annum compound interest, should produce the same amount when they become 18 years of age. Find the share of the elder son.

(1) Rs. 202810

(2) Rs. 202800

(3) Rs. 202081

(4) Rs. 202815

10.A sum of money at simple interest amounts to Rs. 9,440 in 3 years. If the rate of interest is increased by 25%, the same sum of money amounts to Rs. 9,800 in the same time. Find the rate of interest.

(1) 4% per annum

(2) 6% per annum

(3) 8% per annum

(4) 10% per annum

Answers and Solution:
1(3)
Single equivalent discount = ((30+20-(30x20)/100)) = 44%
so Selling price of article = (100 - 44)% of 1000
= 56x1000/100
= 560

2.(2)
sp of article = 300x110/100
= 330
again after discount 15% then,
sp = 330x(100-15)/100
= 330x85/100
=  280.50
loss = 300-280.5
= 19.5
percent loss = 19.5/300x100 => 6.5%

3.(2)
4.(1)
5.(3)
6.(1) Ratio of man and woman => 4x8 men + 6x8 women = 3x10 men + 7 x 10 women
=> 32 men + 48 women = 30 men + 70 women
=> 2 men = 22 women
=> 1 men = 11 women
Required ratio : 11 : 1

7.(3)
8.(2) Rate of intrest = 2 % per quarter
Time 3 quarter
so C.I = p(1+r/100)^t-1
= 15000(1+8/100)^3-1
= 15000 x 0.612
= 918.2

9.(3)
10.(2)