161
Q:

# A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

 A) 1/3 B) 1/4 C) 1/5 D) 1/7

Explanation:

Suppose the vessel initially contains 8 litres of liquid.

Let x litres of this liquid be replaced with water.
Quantity of water in new mixture =  $3-3x8+x$litres.

Quantity of syrup in new mixture =  $5-5x8$ litres.

$3-3x8+x=5-5x8$

=>   5x + 24 = 40 - 5x

=>   10x = 16    => x = 8/5

So, part of the mixture replaced = $85×18$ = 1/5.

Q:

In a mixture of 165 litres, the ratio of liquids X and Y is 6 : 5. If 5 litres of liquid Y is added in the mixture, then what is the ratio of X and Y in the new mixture?

 A) 10 : 9 B) 8 : 7 C) 9 : 8 D) 5 : 4

Explanation:

0 453
Q:

25 litres of a mixture contains 30% of spirit and rest water. If 5 litres of water be mixed in it, the percentage of spirit in the new mixture is

 A) 45% B) 33 1/3% C) 25 % D) 12 1/2%

Explanation:

4 493
Q:

The ratio of sand to gravel in a mixture is 17 : 9 while that between gravel and cement is 6 : 17. What is the ratio of sand to cement in the mixture?

 A) 289 : 54 B) 9 : 6 C) 17 : 17 D) 2 : 3

Explanation:

2 460
Q:

Rahul adds 2 litres of alcohol in 6 litres of water and Dinesh adds 1 litres of alcohol in 9 litres of water. What is the ratio of the percentage of alcohol in the two mixtures?

 A) 7 : 4 B) 2 : 1 C) 5 : 2 D) 8 : 3

Explanation:

4 554
Q:

In what ratio salt costing Rs 13/kg mixed with another salt costing Rs 7/ kg to get a mixture costing Rs 9/kg?

 A) 4 : 7 B) 3 : 5 C) 2 : 3 D) 1 : 2

Explanation:

2 378
Q:

In an alloy of German silver. the ratio of copper to zinc was 21 : 16 while that of nickel to zinc was 7 : 24. What was the ratio of copper to zinc to nickel in the alloy?

 A) 21 : 16 : 7 B) 17 : 21 : 4 C) 63 : 48 : 14 D) 68 : 28 : 21

Explanation:

4 1038
Q:

Vipin adds 3 litres of liquid A in 6 litres of liquid B and Mohit adds 8 litres of liquid A in 15 litres of liquid B. What is the ratio of the percentage of liquid B in the two mixtures?

 A) 26 : 25 B) 51 : 32 C) 46 : 45 D) 34 : 25

Explanation:

5 503
Q:

Two vessels of equal volume contain milk and water in the ratio 1:3 and 2:1. If they are mixed together, what is the new ratio?

 A) 11:13 B) 13:11 C) 9:11 D) 11:9

Explanation: