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CTET Logical Questions




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Q #16
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Logical Question

Directions: Refer the following data to answer the questions given below.

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27kg of sugar costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?

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Let the rate of second quality be Rs x per Kg.

C.P of 1Kg wheat of 1st 980p 

Step 1 : 

S.P of 1 kg of mixture = Rs. 9.24

Gain = 10%

C.P of 1 kg of mixture =[100/100+10×9.24]=Rs.8.40

Mean price = Rs. 8.40

Step 2 : 

C.P of  1 kg of sugar of  1st kind = 900p

C.P of  1 kg of sugar of  2nd kind = 700p

Mean price = 840p


Q #17
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Logical Question

Directions: Refer the following data to answer the questions given below.

A milk vendor has 2 cans of milk .The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the container so as to get 12 litres of milk such that the ratio of water to milk is 3:5?

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Milk in 1 litre mixture in 1st can = 3/4 litre. 

Milk in 1 litre mixture in 2nd can = 1/2 litre. 

Milk in 1 litre final mixture = 5/8 litre. 

By rule of alligation we have required ratio 5 : 8


Q #18
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Logical Question

Directions: Refer the following data to answer the questions given below.

Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5?

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Q #19
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Logical Question

Directions: Refer the following data to answer the questions given below.

In what proportion must water be mixed with milk to gain 20 % by selling it at cost price ?

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Let cost price of milk be Rs 1 per liter, then S.P of mixture is also Rs 1 per liter 

Now CP of mixture be = 1 - ( 20 % of Rs 1 ) = 1 - ( 20 * 1 / 100 ) = 80 / 100 = Rs 4 / 5


Q #20
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Logical Question

Directions: Refer the following data to answer the questions given below.

A vessel is filled with liquid, 3 parts of which are water and 5 parts 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?

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Listen ques first we can answer within 10 seconds

Given that,

3 parts of water

5 parts of syrup

Total parts is 8

Ques is mixture may be half water and half syrup

So, 4 parts of water  , 4 parts of syrup need

From 5 parts of syrup 1 part need to drawn and replace by water

So 1/5 part of mixture need to drawn and replace by water

1/5 part of syrup = 1 part

We don’t want to consider about 1/5 part of water , because again those filled by water only know.

Answer 1/5