MISSION CGL MAINS 2015 : Quant Quiz

1. A shopkeeper bought 80 kg of sugar at the rate of Rs.13.5 per kg. He mixed it with 120 kg of sugar costing Rs.16 per kg .In order to make a profit of 20% he must sell the mixture at
(1). Rs.18 per kg 
(2). Rs.17 per kg 
(3). Rs.16.40 per kg
(4). Rs.15 per kg

2. A seller gains 15% after selling an item at 10% discount on the printed price .The Ratio of the cost price and printed price of the item is 
(1). 18 : 23
(2). 17 : 18
(3). 17 : 23
(4). 18 : 25
3. An empty tank can be filled by pipe A in 4 hours and by pipe B in 6 hours .If the two pipes are opened for 1 hour each alternately with first opening pipe A,then the tank will be filled in
(1). 1 3/4 hours
(2). 2 3/5 hours
(3). 4 2/3 hours
(4). 5 1/2 hours
4. Each of side of a rectangular field is diminished by 25 %,By how much percent is the area of the field diminished ?
(1). 46.45
(2). 43.75
(3). 47.5
(4). 44.60
5.Two numbers are 35% and 50% respectively more than a third number.The first number is what percent of the second number ?
(1). 90
(2). 85
(3). 80
(4). 75
6.If A : B = 3 : 4 and B : C = 8 : 9, then the ratio A : B : c is.
(1). 3:4:5
(2). 1:2:3
(3). 7:12:17
(4). 6:8:9
7. If a : b = b : c, then the ratio a^4 : b^4 is equal to
(1). ac:b^2
(2). a^2:c^2
(3). c^2:a^2
(4). b^2:ac
8. The numbers 11284 and 7655, when divided by a certain 3-digits number,give equal remainders. The 3-digit number is
(1). 190
(2). 191
(3). 192
(4). 193
9. Two numbers are in the ratio 5:6.If their LCM is 120 ,their HCF will be
(1). 12
(2). 10
(3). 8
(4). 4
10. A bag contains Rs. 145 in the form of one-rupee,50-paise and 25 paise coins in the ratio 3:5:7.The number of one-rupee coins is.
(1). 60
(2). 50
(c). 48
(d). 45

Answers and Solution:
1.(1)
2.(1)
3.(3) Part of the tank filled in first 2 hours.
1/4 + 1/6 = (3+2)/12 = 5/12 parts
so Part of the tank filled in first 4 hours
= (2*5)/12 parts = 5/6 parts
Remaining part = 1 – 5/6 = 1/6
Now it is the turn of pipe A
Time taken to fill 1/4 part = 1 hour
So Time taken to fill 1/6 part
= 1/6*4 = 2/3 hour
So Total time = 4 + 2/3 = 4 2/3 hours
4.(2)
If the length and breadth of a rectangular are changed by x% and y% respectively .
the effective change in area = (x + y + xy/100)%
Here, x = -25. y = -25
so Percentage decrease (-25-25+25*25/100)%
= (-50+6.25)% = -43.75%

5. (1)
6. (4)
7. (2)
a/b = b/c => b^2 = ac
so a^4 : b^4 = a^4 : a^2c^2 = a^2:c^2
8. (2)
9. (4)
5x*6x = 120*HCF
30x^2 = 120*x
x = 4
10. (1)
Ratio of the values of coins = 3/1 : 5/2 : 7/4= 12:10:7
so value of the one rupee coins
= Rs. (12/29*145)= Rs.60 Number of One rupee coins

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