1. A : B = 7 : 8 and B : C = 11 : 12, then find A : B : C.
A) 30 : 35 : 67 B) 77 : 88 : 96 C) 13 : 21 : 47 D) 1 : 2 : 3
Sol: Here, in both the ratios, B is the common part so we have to equate the number of partsof B in both the cases, for that
A : B → 7 : 8 × 11
B : C → 11 : 12 × 8
A : B = 77 : 88
B : C = 88 : 96
Now we can take A : B : C = 77 : 88 : 96
Ans: B
2. If A : B = 1 : 2, B : C = 9 : 7, C : D = 6 : 5 then A : B : C : D?
A) 1 : 5 : 6 : 9 B) 42 : 54 : 35 : 27 C) 1 : 9 : 27 : 16 D) 27 : 54 : 42 : 35
Sol: A : B = 1 : 2 → N1 : D1
B : C = 9 : 7 → N2 : D2
C : D = 6 : 5 → N3 : D3
A : B : C : D
N1N2N3 : D1N2N3 : D1D2N3 : D1D2D3
1 × 9 × 6 : 2 × 9 × 6 : 2 × 7× 6 : 2 × 7 × 5
⇒ 27 : 54 : 42 : 35
Here N and D means numerator and denominator part in that ratio.
Ans: D
3. If A : B = 1 : 2, B : C = 3 : 4, C : D = 5 : 6, D : E = 7 : 8, then find A : B : C : D : E.
A) 105 : 210 : 280 : 336 : 486 B) 120 : 139 : 146 : 180 : 210 C) 97 : 68 : 63 : 126 : 235 D) 37 : 165 : 169 : 120 : 210
Sol: A : B : C :
N1N2N3N4 : D1N2N3N4 : D1D2N3N4 :
D : E
D1D2D3N4 : D1D2D3D4
1 × 3 × 5 × 7 : 2 × 3 × 5 × 7 : 2 × 4 × 5 × 7 : 2 × 4 × 6 × 7 : 2 × 4 × 6 × 8
⇒ 105 : 210 : 280 : 336 : 384
Ans: A
4. A sum of Rs. 143 is divided among A, B, C In such a way that A gets Rs.7 more than B, and B gets Rs. 8 more than what C gets. Find the ratio of their shares.
A) 16 : 17 : 19 B) 21 : 23 : 15 C) 55 : 48 : 40 D) 13 : 14 : 17
Sol: Let us assume C gets Rs. x, then
A B C
x + 15 x + 8 x
= x + 15 + x + 8 + x = 143
x = 40
A : B : C
55 : 48 : 40
Ans: C
5. If A : B = 5 : 7, C : D = 2A : 3B, than AC : BD is....
A) 30 : 127 B) 50 : 147 C) 13 : 27 D) 15 : 131
Sol: A = 5x, B = 7x
then C = 10x; D = 21x
⇒ AC : BD
⇒ 5x × 10x : 7x × 21x
⇒ 50 : 147
Ans: B
6. If x : y = 3 : 4 then find (7x + 3y) : (7x − 3y)
A) 7 : 3 B) 11 : 3 C) 7 : 6 D) 11 : 6
Sol: In this kind of question, we can take directly x value as 3 and y value as 4, as both the x and y are there in numerator and denominator, the unit will be cancelled out .
8. Find the duplicate ratio 4 : 11?
A) 16 : 121 B) 8 : 22 C) 16 : 13 D) 16 : 144
Sol: The duplicate ratio a : b is a2 : b2
Duplicate ratio of 4 : 11 is 16 : 121
Ans: A
9. If A2 + 4B2 = 4AB, then find A : B
A) 1 : 2 B) 1 :3 C) 2 : 1 D) 3 : 1
Sol: A 2 + 4B2 − 4AB = 0
⇒ A 2 + (2B)2 − 2 × A × 2B = 0
(A − 2B)2 = 0
⇒ A = 2B
⇒ A : B = 2B : B
= 2 : 1
Ans: C
10. 364 is divide in the ratio of 3 : 5 : 4 : 1, then find the minimum part.
A) 56 B) 28 C) 36 D) 4
Ans: B
11. The ratio of length of play ground to its width is 7 : 4. If the width is 80 m, then the length is....
A) 160 m B) 100 m C) 120 m D) 140 m
Sol: Given width
⇒ 4 parts → 80 m
⇒ 1 part → 20 m
⇒ Length → 7 Parts → 7 × 20 = 140 m
Ans: D
12. A bag contains 25 paise, 50 paise and one rupee coins in the ratio of 8 : 6 : 5. If the total amount of money in the bag is Rs.420. Find the number of coins of 25 paise.
A) 336 B) 420 C) 510 D) 252
Sol: Let the number of coins be 8x, 6x and 5x
⇒ Sum of their values in term of money = 8x × 0.25 + 6x × 0.5 + 5x × 1 = 10x
Given 10x = 420
⇒ x = 42
⇒ No.of 25 paise coins = 8x = 8 × 42 = 336
No.of 50 paise coins = 6x = 6 × 42 = 252
No.of 1 rupee coins = 5x = 5 × 42 = 210
Ans: A
14. The ratio of milk to water in 160 litres of a mixture is 7 : 3. The water to be added to it to make the ratio 2 : 1 is...
A) 6 L B) 8 L C) 10 L D) 12 L
15. Anil and Sunil bought a bottle of water together in which there was 2 litres of water. Anil drank 1/4th of it. The rest of the water was drunk by Sunil. Find the amount of water used by Sunil?
A) 1.5 L B) 0.5 L C) 2.5 L D) 2 L
Sol: Total Amount of water in bottle = 2L
16. If 60% of a number is equal to 1/4th of the other number. What is the ratio of the 1st number to 2nd number?
A) 1 : 2 B) 5 : 12 C) 6 : 13 D) 4 : 9
17. The inverse ratio of 3 : 4 : 2 is....
A) 2 : 4 : 5 B) 5 : 3 : 6 C) 4 : 3 : 6 D) 4 : 2 : 7
18. Two number are 30% and 40% more than a third number respectively. Find the ratio of the two numbers...
A) 16 : 17 B) 19 : 18 C) 13 : 14 D) 12 : 13
Sol: Let the third number be 100 and two numbers be a and b respectively.
⇒ A B
130 140
⇒ a : b = 13 : 14
Ans:C
19. Two number are in the ratio of 3 : 5. If 3 is added to first number and 3 is subtracted from second number, the ratio becomes 3 : 4. Find the sum of two numbers.
A) 42 B) 48 C) 56 D) 64
Sol: Let the two numbers 3x & 5x.
⇒ 12x + 12 = 15x − 9
⇒ 3x = 21
⇒ x = 7
Required sum = 3x + 5x
= 56
Ans: C
20 Rajesh and Suresh earn in the ratio 2 : 1. They spend in the ratio 5 : 3 and save in the ratio 4 : 1. If the total monthly savings of both Rajesh and Suresh are Rs. 5000, then monthly income of suresh is....
A) 6000 B) 7000 C) 14000 D) 28000
