Question Detail

Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share

Rs 10
Rs 20
Rs 24
Rs 28

Answer: Option B

Explanation:

Let C = x. Then A = (x—20) and B = (x—40).
x + x - 20 + x - 40 = 120 Or x=60.
A:B:C = 40:20:60 = 2:1 :3.
B's share = Rs. 120*(1/6) = Rs. 20

1. If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be

Answer: Option B

Explanation:

Let the numbers be 3x, 2x and 5x.
Then,
9x + 4x + 25x =1862
⇒ 38x = 1862
⇒ x = 49 ⇒ x = 7.
middle number = 2x = 14

2. A dog takes 3 leaps for 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 the hare is

Answer: Option B

Explanation:

Dog : Hare = (3*3) leaps of hare : 5 leaps of hare
= 9 : 5

3. If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D

15:24:30:35
16:24:30:35
17:24:30:35
18:24:30:35

Answer: Option B

Explanation:

$\begin{aligned} A:B = 2:3 \\ B:C = 4:5 = (4*\frac{3}{4} : 5*\frac{3}{4}) \\ = 3:\frac{15}{4} \\ C:D = 6:7 = (6*\frac{15}{24} : 7*\frac{15}{24}) \\ = \frac{15}{4}:\frac{35}{8} \\ A:B:C:D = 2:3:\frac{15}{4}:\frac{35}{8} \\ = 16:24:30:35 = 8:12:9 \end{aligned}$

4. If A:B:C = 2:3:4, then find

$\begin{aligned} \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \end{aligned}$

5:9:24
6:9:24
7:9:24
8:9:24

Answer: Option D

Explanation:

Let A = 2x, B = 3x, C = 4x, then,

$\begin{aligned} \frac{A}{B} = \frac{2x}{3x} = \frac{2}{3} \\ \frac{B}{C} = \frac{3x}{4x} = \frac{3}{4} \\ \frac{C}{A} = \frac{4x}{2x} = \frac{2}{1} \\ => \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \\ = \frac{2}{3}:\frac{3}{4}:\frac{2}{1} \\ = 8:9:24 \end{aligned}$

5. There are two numbers and their ratio is 3 : 9. If we substract 9 from both numbers then their ratio becomes 12 : 13, what is value is smaller number ?

Answer: Option D

Explanation:

From question, lets assume that two numbers are 3x and 5x.

$\begin{aligned} \text{then, }\frac{3x - 9}{ 5x - 9} = \frac{12}{23}\\ => \text{23(3x - 9) = 12(5x - 9)}\\ => 9x = 99 \\ => x = 11 \end{aligned}$
So numbers are 3(11) = 33, 5(11) = 55.
Smaller number is 33.

Question Detail

Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share

1. If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be

2. A dog takes 3 leaps for 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 the hare is

3. If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D

4. If A:B:C = 2:3:4, then find

$\begin{aligned} \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \end{aligned}$

5. There are two numbers and their ratio is 3 : 9. If we substract 9 from both numbers then their ratio becomes 12 : 13, what is value is smaller number ?

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Question Detail

Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share

1. If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be

2. A dog takes 3 leaps for 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 the hare is

3. If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D

4. If A:B:C = 2:3:4, then find AB:BC:CA\begin{aligned} \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \end{aligned}

5. There are two numbers and their ratio is 3 : 9. If we substract 9 from both numbers then their ratio becomes 12 : 13, what is value is smaller number ?

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4. If A:B:C = 2:3:4, then find

$\begin{aligned} \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \end{aligned}$