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Ratio & Proportion Quiz-1

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. In a mixture of 60 litres, the ratio of milk and water is 2 : 1 . If the ratio of milk and water is to be 1 : 2, then the amount of water (in litres) to be further added is

•  20
•  30
•  40
•  60
Solution
New

Q2.Two numbers are in the ratio 3 : 5, If 9 be subtracted from each, then they are in the ratio 12 : 23. The second number is:
•  52
•  53
•  54
•  55
Solution
: 69x - 207 = 60x - 108
9x = 99 x = 11
Second number is 5x i.e. 55

Q3. What is the ratio whose terms differ by 40 and the measure of which is 2/7?
•  16 : 56
•  14 : 56
•  15 : 56
•  16 : 72
Solution
: 2/7 diff = (7 - 2) = 5
Difference = 40 40/5 = 8
Multiplying numerator & denominator by 8
16/56

Q4. A sum of Rs.7000 is divided among A, B, C, in such a way that shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5. The amount received by C is:
•  Rs. 2600
•  Rs. 2800
•  Rs. 3000
•  Rs. 3900
Solution
: A : B = 2 : 3 B : C = 4 : 5
A : B : C = 8 : 12 : 15
7000 = A + B + C = + C = 35C/15
7000 = 7/3 C C = 3000

Q5. If A’s money is to B’s money as 4 : 5 and B’s money is to C’s money as 2 : 3 and A has Rs.800, then C has:
•  Rs. 1000
• Rs.1200
•  Rs.1500
•  Rs.2000
Solution
: A : B = 4 : 5 B : C = 2 : 3
A = 800
B = 5/4 800 = 1000
C = 3/2 1000 = 1500

Q6. If X and Y shared Rs. 1100 in the ratio 1 : 10, how much did X get?

•  Rs. 99
•  Rs.100
•       Rs.101
•  Rs.110
Solution
: x : y = 1 : 10 = 100 : 1000

Q7. If a : b = 3 : 4, then (6a + b) : (4a + 5b) is

•  1 : 2
•  3 : 5
•  11 : 8
•  11 : 16
Solution
: a : b = 3 : 4

Q8. If A : B = 3 : 4, B : C = 5 : 6 and D = 11 : 9, then A : D is:
•  50 : 60
•  55 : 72
•  60 : 70
•  65 : 75
Solution
: A/C = (A/B) x (B/C) = 3/4 x 5/6 = 15/24
A/D = (A/C) x (C/D) = 15/24 x 11/9 = 55/72
A : D = 55 : 72

Q9.If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C is:
•  55 : 77 : 66
•  30 : 42 : 77
•  35 : 49 : 42
•  None of these
Solution
A : B = 5 : 7 B : C = 6 : 11

A : B : C = 5 x 6 : 7 x 6 : 11 x 7 = 30 : 42 : 77

Q10. lf A : B = 8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to :
•  2 : 7
•  4 : 15
•  8 : 15
•  15 : 4
Solution
: A : B = 8 : 15 B : C = 5 : 8
C : D = 4 : 5
A : C = A : B x B : C =
A : D =

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