Ratio and Proportions questions for SBI Clerk

Ratio and Proportions questions for IBPS PO :-
Must read Ratio and Proportions shortcuts here.

Ques 1.

If a: b = 5 : 9 and b : c = 4 : 7, find a : b : c and a : c.

Ques 2.

If x : y = 3 : 4, find (4x + 5y) : (5x – 2y).

Ques 3.

Divide Rs. 672 in the ratio 5 : 3.
Solution: Sum of the terms of the ratio = (5 + 3) = 8

First part = Rs. (672 × 5/8) = Rs. 420

Second part = Rs. (672 × 3/8) = Rs. 252

Ques 4.

Divide Rs. 1162 among A, B, and C in the ratio 35 : 28 : 20.
Solution: Sum of the terms of the ratio = (35 + 28 + 20) = 83.

A’s share = Rs. (1162 × 35/83) = Rs. 490.

B’s share = Rs. (1162 × 28/83) = Rs. 392.

C’s share = [1162 – (490 + 392)] = Rs. 280.

Ques 5.

A bag contains 50 paise, 25 paise and 10 paise coins in the ratio 5 : 9 : 4, amounting to Rs. 206. Find the number of coins of each type.

Ques 6.

Which one of 2 : 3, 4 : 5, 7 : 9 and 11 : 13 is the largest ratio?
Solution: 2 : 3 = 2/3=0.666;   4 : 5 = 4/5 = 0.8;

7 : 9 = 7/9 = 0.777; 11 : 13 = 11/13 = 0.846

Clearly,  0.846 > 0.8 > 0.777 > 0.666.

Hence,  11 : 13 is the largest ratio.

Ques 7.

A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. Find the quantity of alcohol in the given mixture.

Ques 8.

Suppose x varies as the sum of two quantities of which one varies directly as x and the other inversely as x. If y = 6 when x = 4 and y = 3 1/3, when x = 3. Find the relation between x and y.

Smart Prep Kit for Banking Exams by Ramandeep Singh - Download here

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The text passage contains multiple ratio and proportion questions, some of which are accompanied by solutions.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Ratio and Proportions questions for SBI Clerk

Ratio and Proportions questions for IBPS PO :-
Must read Ratio and Proportions shortcuts here.

Ques 1.

If a: b = 5 : 9 and b : c = 4 : 7, find a : b : c and a : c.

Ques 2.

If x : y = 3 : 4, find (4x + 5y) : (5x – 2y).

Ques 3.

Divide Rs. 672 in the ratio 5 : 3.
Solution: Sum of the terms of the ratio = (5 + 3) = 8

First part = Rs. (672 × 5/8) = Rs. 420

Second part = Rs. (672 × 3/8) = Rs. 252

Ques 4.

Divide Rs. 1162 among A, B, and C in the ratio 35 : 28 : 20.
Solution: Sum of the terms of the ratio = (35 + 28 + 20) = 83.

A’s share = Rs. (1162 × 35/83) = Rs. 490.

B’s share = Rs. (1162 × 28/83) = Rs. 392.

C’s share = [1162 – (490 + 392)] = Rs. 280.

Ques 5.

A bag contains 50 paise, 25 paise and 10 paise coins in the ratio 5 : 9 : 4, amounting to Rs. 206. Find the number of coins of each type.

Ques 6.

Which one of 2 : 3, 4 : 5, 7 : 9 and 11 : 13 is the largest ratio?
Solution: 2 : 3 = 2/3=0.666;   4 : 5 = 4/5 = 0.8;

7 : 9 = 7/9 = 0.777; 11 : 13 = 11/13 = 0.846

Clearly,  0.846 > 0.8 > 0.777 > 0.666.

Hence,  11 : 13 is the largest ratio.

Ques 7.

A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. Find the quantity of alcohol in the given mixture.

Ques 8.

Suppose x varies as the sum of two quantities of which one varies directly as x and the other inversely as x. If y = 6 when x = 4 and y = 3 1/3, when x = 3. Find the relation between x and y.

Smart Prep Kit for Banking Exams by Ramandeep Singh - Download here

Post a Comment

Thanks for commenting. It's very difficult to answer every query here, it's better to post your query on IBPSToday.com
user
The text passage contains multiple ratio and proportion questions, some of which are accompanied by solutions.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS