4
Q:

# Three cats are roaming in a zoo n such a way that when cat A takes 5 steps, B takes 6 steps and C takes 7 steps.But the 6 steps of A are equal to the 7 steps of B and 8 steps of C. what is the ratio of their speeds?

 A) 140:144:147 B) 40:44:47 C) 15:21:28 D) 252:245:240

Explanation:

Frequency of step of A:B:C = 5 : 6 : 7

But in terms of size of step, 6A = 7B = 8C

$\fn_jvn&space;\therefore$ Ratio of speeds of A, B and C = $\inline&space;\fn_jvn&space;\frac{5}{6}:\frac{6}{7}:\frac{7}{8}$

= 280 : 288 : 294

= 140 : 144 : 147

Q:

If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

 A) 18 : 24 : 11 B) 9 : 15 : 1 C) 20 : 15 : 9 D) 21 : 7 : 3

Answer & Explanation Answer: C) 20 : 15 : 9

Explanation:

Given k : l = 4 : 3
l : m = 5 : 3

Then k : l : m = 20 : 15 : 9

1 73
Q:

A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27,  what is the total amount  ?

 A) Rs. 159 B) Rs. 96 C) Rs. 147 D) Rs. 105

Answer & Explanation Answer: D) Rs. 105

Explanation:

K : L : M = 100 : 45 : 30
= 20 : 9 : 6

Given L share is 27

=> 9  ------  27
35 ------  ?

=> 105

2 121
Q:

The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ?

 A) 4:5 B) 6:5 C) 3:2 D) 1:3

Explanation:

4:5
3:2
-------
=> 12:15:10

12:10

=> 6:5

3 176
Q:

What is the equivalent compound ratio of 5:6::7:10::6:5  ?

 A) 7 : 9 B) 9 : 7 C) 7 : 4 D) 7 : 10

Answer & Explanation Answer: D) 7 : 10

Explanation:

Given 5:6 :: 7:10 :: 6:5

We know that compound ratio is calculated as
a:b :: c:d :: e:f
(axcxe):(bxdxf)

=> (5x7x6):(6x10x5)
=> (210):(300)
= 7:10

4 119
Q:

The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes  ?

 A) 200, 400 B) 100, 300 C) 100, 200 D) 150, 200

Answer & Explanation Answer: D) 150, 200

Explanation:

The incomes of A and B be 3P and 4P.

Expenditures = Income - Savings

(3P - 100) and (4P - 100)

The ratio of their expenditure = 1:2

(3P - 100):(4P - 100) = 1:2

2P = 100 => P = 50

Their incomes = 150, 200