GATEWAY TO CGL MAINS 2015 : Quant Quiz

1.If 738A6A is divisible by 11,then the value of A is :

A. 6

B. 3

C. 9

D. 1

2. The product of two numbers is 1575 and their quotient is 9/7 .Then the sum of numbers :

A. 74

B. 78

C. 80

D. 90

3. The least positive integer that should be subtracted from 3011 x 3012 so that the different is a perfect square is:

A. 3009

B. 3010

C. 3011

D. 3012

4. 2 men and 5 women can be a work in 12 days.5 men and 2 women can do that work in 9 days.only 3 women can finish the same work in :

A. 36 days

B. 21 days

C. 30 days

D. 42 days

5. By selling an article at 3/4th of the marked price , there is a gain of 25%. the ratio of the marked price and the cost price is:

A. 5:3

B. 3:5

C. 3:4

D. 4:3

6. In a laboratory ,two bottles contain mixture of acid and water in the ratio 2:5 in the first bottle and 7:3 in the second . The ratio in which the contents of these two bottles be mixed such that the new mixture has acid and water in the ratio 2:3 is :

A. 4:15

B. 9:8

C. 21:8

D. 1:2

7. A jar contains 10 red marbles and 30 green ones.How many red marbles must be added to the jar so that 60% of the marbles will be red?

A. 25

B. 30

C. 35

D. 40

8. The price of onion has been increased by 50% . In order to keep the expenditure on onions the same the percentage of reduction in consumption has to be :

A. 50 %

B. 33 1/3 %

C. 33 %

D. 30 %

9. By selling 100 oranges , a vendor gains the selling price of 20 oranges .  His gain percentage is:

A. 20

B. 25

C. 30

D. 32

10. A square is of area 200 sq.m.A new square is formed in such a way that the length of its diagonal of the given square .Then the area of the new square formed is:

A. 200√2 sq.m.

B. 400 sq.m.

C. 200 sq.m.

D. 800 sq.m.

Answers and Solution:

1.(c) 738A6A,will be divisible by 11,if
(A+A+3) - (6+8+7) = 0
2A + 3 - 21 = 0
2A = 18 => A = 9

2.(C)
3.(c) 3011 X (3011+1)
(3011)^3 + 3011
So By subtract 3011, it will be a perfect square

4.(a)
(2M + 5w)'s 1day work = 1/12 ------(1)
(5M + 2w)'s 1day work = 1/9 ------(2)
By solving eqn.(1) and (2)
1M's 1 day work = 1/54
and 1w's 1 day work = 1/108
so 3w's 1 day work = 3/108 = 1/36
so 3 w will do the work in 36 days.

5.(a)
6.(c)
7.(c)
Let the required numbers of red marbles be x.
According to equation ,
(10+x)/30 = 60/40
400 + 40x = 1800
40x = 1400
x = 1400/40 => 35

8.(b)
9.(b)
10.(c)
Area of square = 200sq.m.
so side of square = √200 = 10√2 mt.
Diagonal of square = 10√2 X √2 = 20m.
Diagonal of new square = 20√2 mt.
so side of new square = 20√2/√2 = 20 mt.
Area of new square = (20)^2 = 400 sq.m