1
Q:

# 6 pumps of kirlosker can fill a tank in 7 days and 2 similar pumps of USHA can fill the same tank in 18 days. what is the ratio of the efficiency of a kirlosker pump and a USHA pump?

 A) 6:7 B) 7:6 C) 7:54 D) None of these

Explanation:

The number of days required by a single kirlosker pump to fill the tank = 6 x 7 =42 days and the number of days required by a single USHA pump to fill the same tank = 2 x 18 =36 days.

Now , since efficiency is inversely proportional to the number of days. Hence,

$\inline&space;\fn_jvn&space;\frac{Efficiency\:&space;of\:one\:&space;K-pump&space;}{Efficiency&space;\:&space;of\:&space;U-pump}=\frac{36}{42}=\frac{6}{7}$

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

Explanation:

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

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

1 80
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

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

3 178
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

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

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