24
Q:

The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?

A) 8:3 B) 6:7
C) 7:5 D) 11:7

Answer:   C) 7:5



Explanation:

Milk in 1-litre mixture of A = 4/7 litre. 

Milk in 1-litre mixture of B = 2/5 litre. 

Milk in 1-litre mixture of C = 1/2 litre.

 

By rule of alligation we have required ratio X:Y   

   X                  :                 Y  

  4/7                                2/5  

           \                      /

              (Mean ratio)
                   (1/2) 

           /                      \

 (1/2 – 2/5)     :       (4/7 – 1/2)  

    1/10                      1/1 4 

 

So Required ratio = X : Y = 1/10 : 1/14 = 7:5

Subject: Alligation or Mixture
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO
Q:

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

 

A)  3 : 5 B)  5 : 7 
C) 3) 1 : 1 D)
 
Answer & Explanation Answer: A)  3 : 5

Explanation:
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Exam Prep: Bank Exams

6 1159
Q:

7 litres mixture of milk and water contains 30% water. 3.5 litres of milk is added to this mixture. What is the percentage of water in the new mixture?

 

A) 10 B) 15
C) 20 D) 25
 
Answer & Explanation Answer: C) 20

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

6 881
Q:

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

 

A) 28 B)  32
C)  26 D)  34
 
Answer & Explanation Answer: B)  32

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

4 928
Q:

A natural number, when divided by 5,6,7 or 8,leaves a remainder of 4 in each case. what is the smallest of all such numbers?

 

 

A) 214 B) 424
C) 844 D) 1264
 
Answer & Explanation Answer: C) 844

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Exam Prep: Bank Exams

0 840
Q:

In a bucket, paint and oil are in the ratio 7 : 5. 24 litres of mixture is drawn off and 24 litres of oil is added. If the ratio of paint and oil becomes 1 : 1, then how many litres of paint was contained in the bucket initially?

 

A) 49   B)  63  
C)  84   D) 98
 
Answer & Explanation Answer: D) 98

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Exam Prep: Bank Exams

0 1852
Q:

In what ratio rice costing Rs 14/kg mixed with another rice costing Rs 11/kg to get the mixture costing Rs 11.6/kg?

 

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

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5 895
Q:

Two water-squash mixtures, the first having a water-to-squash ratio of 4 : 1 and the other having a ratio of 3 : 1, are blended in the ratio 1 : 2. What is the water : squash ratio in the blend?

A) 19:11 B) 23:7
C) 17:13 D) 4:3
 
Answer & Explanation Answer: B) 23:7

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Exam Prep: Bank Exams

5 1286
Q:

A mixture contains liquid A and liquid B in the ratio of 5 : 4. If 2 litres of liquid B is added to it, then the ratio of liquid A and liquid B becomes 7 : 6. What is the quantity (in litres) of liquid A in the mixture?

 

A) 32 B) 35
C) 40 D) 42
 
Answer & Explanation Answer: B) 35

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1 757