Aptitude - Ratio and Proportion

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Question 1     

If a - b = 3 and a2 + b2 = 29, find the value of ab.

Question 2     

One year ago the ratio between rahul salary and rohit salary is 4:5. The ratio between their individual salary of the last year and current year is 2:3 and 3:5 respectively. If the total current salary of rahul and rohit is 4300. Then find the current salary of rahul.

Question 3     

A fold density is 19 times greater than the water and for copper it is 9 times.At what ratio you can mix gold and copper to get 15 times denser than water.

Question 4     

Two numbers are in the ratio xy, when 2 is added to both the numbers. The ratio becomes 1:2. When 3 is subtracted from both the numbers. The ratio becomes 1:3.Find the sum of x and y.

Question 5     

If a:b =4:1,then √(a/b)+ √(b/a) is

Question 6     

p, q, r enter into a partnership. p contributes one-third of the whole capital while q contributes as much as p and r together contribute. If the profit at the end of the year is `1,68,000, how much would each receive?


Question 7     

The students in three batches at Mindworkzz are in the ratio 2 : 3 : 5. If 20 students are increased in each batch, the ratio changes to 4 : 5 : 7. The total number of students in the three batches before the increases were

Question 8     

The incomes of P and Q are in the ratio 1: 2 and their expenditures are in the ratio 1: 3. If each saves 500, then, P’s income can be:

Question 9     

If the ratio of sines of angles of a triangle is 1 : 1 : 2 then the ratio of square of the greatest side to sum of the squares of other two sides is


Question 10     

Divide `1360 among p, q and r such that p gets 2/3 of what q gets and q gets 1/4th of what r gets. Now the share of r is:


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