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AE-JE Foundation: Quantitative Aptitude (Ratio & Proportion & Mixture & Alligation)

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Question 1

, where

and

are rational numbers then, the ratio

Question 2

In two types of stainless steel, the ratio of chromium and steel are 2 : 11 and 5 : 21 respectively. In what proportion should the two types be mixed so that the ratio of chromium to steel in the mixed type becomes 7 : 32?

Question 3

The ratio of the sum of two numbers and their difference is 5:1. The ratio of the greater number to the smaller number is?

Question 4

Gulab has two vessels of 52 litres and 57 litres which are filled with mixtures of milk and water, the proportion of the two vessels being respectively 15: 11 and 11: 8. If the contents of the two vessels are mixed and 14 litres of water and 2 litres of milk be added to the whole, what will be the proportion of milk and water in the 3^rd vessel?

Question 5

Rs. 31,394 are divided between A and B in the ratio 5 : 6. What is the difference between thrice the share of A and twice the share of B?

Question 6

A vessel full of liquid contains 40% alcohol. A part of this liquid is replaced by another which contains 19% alcohol and new percentage of alcohol is 26%. the quantity of liquid replaced is:

Question 7

A family required 80 kg of rice for 30 days. Had the quantity of rice been 16 kg more, for how many days would the quantity of rice be sufficient

Question 8

A solution contains 8 liters of hydrochloric acid and 32 liters of water. A new mixture with 30% hydrochloric acid is to be formed by replacing. How many liters of mixture should be replaced with pure hydrochloric acid?

Question 9

If x beakers of 100 ml containing 1:4 acid-water solution are mixed with y beakers of 200 ml containing 3:17 acid-water solution then the ratio of acid to water in the resulting mixture becomes 19:91. Find x:y.

Question 10

Two equal vessels are filled with the mixtures of water and milk in the ratio of 3:4 and 5:3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be

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AE & JE Exams

Feb 27AE & JE Exams