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Ratio & Proportion Quiz-2

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 2A = 3B = 4C, then A : B : C is :

•  2 : 3 : 4
•  4 : 3 : 2
•  6 : 4 : 3
•  3 : 4 : 6
Solution
: 2A = 3B = 4C = k

A : B : C = = 6 : 4 : 3

Q2. If 1/3 A = 1/4 B and 1/4 B = 1/5 C, then A : B : C is
•  4 : 3 : 5
•  5 : 4 : 3
•  3 : 4 : 6
•  20 : 15 : 12
Solution

A : B : C = 3 : 4 : 6

Q3.If A = 1/3 B and B = ½ C, then A : B : C is:

•  1 : 3 : 6
•  3 : 1 : 2
•  2 : 3 : 4
•  3 : 2 : 6
Solution
A : B : C = 1 : 3 : 6

Q4.If x : y = 2 : 1, then (x2 - y2) : (x2 + y2) is :
•  3 : 5
•  5 : 3
•  1 : 3
•  3 : 1
Solution
x : y = 2 : 1

Q5.If (4x2 - 3y2) : (2x2 + 5y2) = 12 : 19, then, x : y is:
•  2 : 3
•  1 : 2
•  3 : 2
•  2 : 1
Solution

Q6. If a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirror to unbroken mirror?

•  2 : 1
•  3 : 1
•  3 : 2
•  7 : 5
Solution
.(c): Sum of both ratios should be less than 12 & should be a factor of 12
(a) 2 + 1 = 3
(b) 3 + 1 = 4
(c) 3 + 2 = 5
(d) 7 + 5 = 12

Q7.A amount of Rs 2430 is divided among A, B & C such that if their shares be reduced by Rs 5, Rs 10, Rs 15 respectively, the remainders shall be in the ratio 3 : 4 : 5. The share of B is?
•  Rs 605
•  Rs 790
•  Rs 800
•  Rs 810
Solution
(d): (A - 5) : (B - 10) : (C - 15) = 3 : 4 : 5
= 600 : 800 : 1000
A + B + C = 605 + 810 + 1015 = 2430
B = 810

Q8. X, Y, & Z share a sum of money in the ratio 7 : 8 : 16. If Y receives Rs 27 more than X, then total money, should was?
•  Rs 489
•  Rs 943
•  Rs.837
• Rs 558
Solution
(c): x : y : z = 7 : 8 : 16
y - x = 27 diff of ratio = 8 – 7 = 1
Hence, multiply by 27
x : y : z = 7 : 8 : 16 = 189 : 216 : 432
x + y + z = 189 + 216 + 432 = 837

Q9. Rs 407 are to be divided among A, B, C so that shares are in the ratio of 1/4 : 1/5 : 1/6. The respective share of A, B, C, are?

•  Rs.165, Rs 132, Rs 110
•  Rs 165, Rs 110, Rs 132
•  Rs 132, Rs 110, Rs 165
•  Rs 110, Rs 132, Rs 165
Solution
.(a): A : B : C = 1/4 : 1/5 : 1/6 = 30 : 24 : 20
A + B + C = 407 = A + A + A = A

A = 165, B = 132, C = 110

Q10. If Rs 1066 are divided among A, B, C & D such that A : B = 3 : 4, B : C = 5 : 6 & C : D = 7 : 5 who will get the maximum ?
•  B
•  A
•  C
•  D
Solution
.(c): A : B = 3 : 4, B : C = 5 : 6, C : D = 7 : 5
A : B : C = 3 x 5 : 4 x 5 : 6 x 4 = 15 : 20 : 24
A : B : C : D = 15 x 7 : 20 x 7 : 24 x 7 : 24 x 5
= 105 : 140 : 168 : 120, Maximum is C

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