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CAT2021 || Daily Target Quiz || Ratio-1- Establishing Ratios || 17.03.2021

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Question 1

Deepak stores x kg of sugar. A buys one-third this amount plus 1 kg of sugar. B buys one-fourth of the remaining amount plus half a kg of sugar. Then C also buys 60% the remaining amount plus 1.3 kg of sugar. Thereafter, no sugar is left. What is the value of x?

Question 2

The cost of an article is proportional to the square of the weight of the article. The price of the article in its entire weight is Rs. 8100. If the article was sold by breaking it into three pieces in the ratio 1 : 3 : 5, then find the loss incurred by the merchant.

Question 3

Lala Dhaniram has three varieties of rice with their quantity in the ratio of 2 : 3 : 4. If ‘a’ kg of first variety and 24 kg of second variety are added to their initial quantity and 18 kg of 3rd type is removed from it, then final ratio of three varieties of rice becomes 3 : 5 : 4. Find the amount of first type rice added to the mixture.

Question 4

The cost for making 100 units of product is Rs. 20000 and for 150 Units Rs.25000 and the cost of the product depends on the fixed and variable expenses. Find the cost when there are 200 Units of product?

Question 5

A proper fraction is such that 593 subtracted from 10 times the numerator gives the denominator. Find the numerator, if the numerator and denominator are consecutive integers in ascending order. 

Question 6

The ratio of the present ages of a Sameer and Sudhir is 1 : 5 and that of Rima and Sudhir is 4 : 5. After 2 years, the ratio of the age of Sameer to that of Rima becomes 3 : 10. What is the present age of Sudhir?

Question 7

Two candles of same height are lighted at the same time. The first is consumed in 6 hours and second in 4 hours. Assuming that each candles burns at a constant rate, in how many hours after being lighted, the ratio of the height of first and second candle becomes 2:1?

Question 8

A distiller has three varieties of beer made out of wheat, barley and maze. On a particular day, the ratio of number of pints of beer made out of wheat, barley and maze is 7 : 4 : 2. The number of pints of beer made out of barley sold is the geometric mean of the number of the pints of the other two type sold. Four times the number of beer pints made out of wheat sold is equal to nine times the number of beer pints made out of maze sold. Also, the number of beer pints made out of wheat is 7 times the number of beer pints made out of barley sold. What is the ratio of the total number of loaves sold to unsold?

Question 9

The denominator of an irreducible fraction is greater than the numerator by 3. If we reduce the numerator of the reciprocal fraction by 4 and subtract the original fraction from the resulting one, we get. Find the sum of numerator and denominator of original fraction.

Question 10

The income ratio of two working professionals (A & B) is 4: 7. Both of them spend their income exclusively in five fields namely, food, books, house rent, electricity & transportation. The ratio of their spending in the given 5 fields are 1:2, 3: 1, 2: 3, 1: 4 & 7: 5 respectively. It is known that their combined expenditure in food & books is 2500, combined expenditure in books and house rent is 1200, combined expenditure in electricity and house rent is 1000, combined expenditure in electricity and transportation is 800. If their combined expenditure in house rent is equals to their combined expenditure in electricity & both of their income are four digit integers as well as multiple of 1000 then what is their savings ratio?
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Mar 17CAT & MBA