Saturday, July 18, 2015

GATEWAY TO CGL MAINS 2015 : Quant Quiz

1. A person bought a horse and a carriage for Rs.20,000 Later ,he sold the horse at 20 % profit and the carriage at 10 % loss .thus ,he gained 2% in the whole transaction .The cost price of the horse was.
(a) 7200
(b) 7500
(c) 8000
(d) 9000

2. The cost price of an article is 80% of its marked price for sale .How much percent does the trade man gain after allowing a discount of 12%?
(a) 20
(b) 12
(c) 10
(d) 8

3. Ram donated 4% of his income to a charity and deposited 10 % of the rest in a Bank .if now he has Rs. 8640 left with him,then his income is :
(a) 12500
(b) 12000
(c) 10500
(d) 10000

4. If the length of rectangle is increase in the ratio 6:7 and its breadth is diminished in the ratio 5:4 then its area will be diminished in the ratio:
(a) 17:16
(b) 15:14
(c) 9:8
(d) 8:7

5. 7 year ago ,the ages(in year) of A and B were in the ratio 4:5 and 7 years hence they will be in the ratio 5:6 .The present age of B is:
(a) 56 years
(b) 63 years
(c) 70 years
(d) 77 years

6. A,B,C are partners in a business.During a particular year, A received one third of the profit ,B received one fourth of the profit and C received the remaining Rs.5000 .How much amount of money did a receive?
(a) 1000
(b) 3000
(c) 4000
(d) 5000

7. If a^2 = 2 ,then (a+1) is equal to:
(a) a-1
(b) 2/(a-1)
(c) (a+1)/(3-2a)
(d)   √2+1
28.What is difference between the compound intrest and simple intrest on Rs.4000 at 5 % per annum for 2 year?
(a) 10
(b) 11
(c) 20
(d) 100

9.A can complete a piece of work in 12 days.B is 60 % more efficiency than A.The number of days, that B will take to complete the same work is:
(a) 6
(b) 7 1/2
(c) 8
(d) 8 1/2

10. If 2x + 1/3x = 6 ,then 3x + 1/2x is equal to:
(a) 4
(b) 8
(c) 9
(d) 12

Answers and solution:
1.(c)
Let cost price of a horse and a carriage respectively be Rs.x and Rs.(20,000-x)
According to question,
x X 20/100 -(20000-x)X10/100 = 20,000 X 2/100
20x - 200000 +10x = 40000
30x = 240000
x = 8000
So cost price of the horse = Rs 8000

2.(c)
3.(d)
4.(b) Required ratio: 6x5:7x4 = 15:14
5.(d)Let ages of A and B 7 years ago respectively 4x and 5x.
According to question ,
(4x + 14)/(5x+14) = 5/6
24x + 84 = 25x + 70
x = 14
so present afe of B = 5x+7=5x14+7=77years

6.(c)
7.(d)
8.(a) Difference= p x (r)^2/(100)^2
= (4000x25)/(100x100)
= 10
9.(b)
Ratio of work efficiency of A and B = 100:160=5:8
so Ratio of time taken by A and B =8:5
According to question
8x = 12 => x = 3/2
So Time taken by B = 5 x 3/2 = 7 1/2 days
10.(c) 2x + 1/3x = 6
on multiplying 3/2 both sides,
3x + 1/2x = 6 x 3/2 = 9

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