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Q:

If 4/7 of P is equal to 12/14 of Q, then what is P : Q?

 

 

A) 15 : 8   B) 14 : 9  
C) 7 : 8   D) 3 : 2

Answer:   D) 3 : 2



Explanation:
Subject: Alligation or Mixture
Exam Prep: Bank Exams
Related Questions
Q:

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

A) 1:3 B) 2:3
C) 3:4 D) 4:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

By the rule of alligation:
Cost of 1 kg rice of 1st kind                  Cost of 1 kg rice of 2nd kind 

 

 

  Required ratio = 60 : 90 = 2 : 3

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66 34872
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
 
Answer & Explanation Answer: C) 1/5

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+xlitres.

 

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.

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159 24736
Q:

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 ?

A) 4:3 B) 3:4
C) 5:6 D) 7:9
 
Answer & Explanation Answer: D) 7:9

Explanation:

Let the C.P. of spirit be Re. 1 litre.
Spirit in 1 litre mix. of A = 5/7 litre, C.P. of 1 litre mix.
in A = Re. 5/7
Spirit in 1 litre mix. of B = 7/13 litre, C.P. of 1 litre mix.
in B = Re. 7/13
Spirit in 1 litre mix. of C = 8/13 litre, Mean price = Re. 8/13.

 

By the rule of alligation, we have:
Cost of 1 litre mixture in A                          Cost of 1 litre mixture in B

 


 

 Required ratio = 1/13 : 9/91 = 7:9.

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34 33769
Q:

A container contains 40 litres of milk.From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.

A) 26.34 litres B) 27.36 litres
C) 28 litres D) 29.16 litres
 
Answer & Explanation Answer: D) 29.16 litres

Explanation:

Amount of milk left after 3 operations

 

401-4403=40*910*910*910=29.16 litres

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65 19042