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Ratio & Proportion Quiz-3

Maths is an important subject in CLAT,DULLB & Other Law Exams. In any of law exam, Maths carries weightage of 20 -25 % of questions. With focused practice good marks can be fetched from this section. These questions are very important in achieving your success in CLAT, DULLB and Other Law Exams..

Q1.If the sides of a triangle are in the ratio of & its perimeter is 104 cm. The length of longest side is?

•  52 cm
•  48 cm
•  32 cm
• 26 cm
Solution
: a : b : c = 1/2 : 1/3 : ¼ = 6 : 4 : 3
104 = a + b + c = a+ 4/6 a + 3/6 a = 13/6 a
a = 48 b = 32 c = 24

Q2. The ratio of income of A to that of B is 5 : 4 and the expenditure of A to that of B is 3 : 2. If at the end of the year, each saves Rs 800, the income of A is :

•  Rs 1600
•  Rs 1800
•  Rs2000
•  Rs2200
Solution
: Salary = income - expendable
Salary of B
= 4/5(A’s income) - 2/3(A expenditure) = 800
Salary of A = A income - A expenditure = 800
800 = A income - A expenditure
= A income - 3/5 A income = 2/5 Income
A income = 2000

Q3. A dog takes 3 leaps of every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare. The ratio of the speed of the dog to that of hare is.
•  8 : 5
•  9 : 5
•  8 : 7
•  9 : 7
Solution
(b): D = 1 leap of dog - 3 leaps of hare
T = 3 leaps of dog = 5 leaps of hare

=

Q4.  % of a man’s output is equal to 50% of a second man’s daily output. If the second man turns out 1500 screws daily. Then the first man’s output in terms of making screw is?
•  500
•  1000
•  2000
•  2250
Solution
(100/3)% A = 50% B
=

B = 1500 A = 3/2 x B = 2250

Q5. If three numbers in the ratio 3 : 2 : 5 be such that the sum of their squares is 1862, the middle number will be?
•  7
•  14
•  21
•  35
Solution
(b): 3 : 2 : 5 = a : b : c
1862 = a2 + b2 + c2
b2 = b = 14

Q6. A sum of Rs 1300 is divided among P, Q, R and S such that

•  Rs 320
•       Rs 240
• Rs 160
•  Rs 140
Solution
(c):
P + Q + R + S = 1300
1300 = P + P + P + P = (8 + 12 + 18 + 27) = P
P = 160

Q7.The ratio of the number of boys & girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holder’s is:

•  56
•  70
•  78
•  80
Solution
.(c):
=

Q8. 15 L of a mixture contains 20% alcohol & the rest water. If 3L of water be mixed in it. The percentage of alcohol in the new mixture will be

•  15
•  16⅔
•  17
•  18 ½
Solution
.(b): Alcohol = 15 x .2 = 3L water = 15 - 3 = 12 L
New ratio =

Q9. A & B are two alloys of gold & copper prepared by mixing metals in the ratio 7 : 2 & 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold & copper will be?
•  5 : 9
•  5 : 7
•  7 : 5
•  9 : 5
Solution
: Mixing 1q of A & 1q of B
= = 7.5

Q10. A mixture contains milk and water in the ratio 5 : 1 on adding 5 litres of water, the ratio of milk to water’ becomes 5 : 2. The quantity of in the original mixture is ?

•  16 L
•  25 L
•  22.75 L
•  32.5 L
Solution
New Ratio = n = 30

Milk =

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