text: 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
explanation: The document contains a series of ratio and proportion questions, some of which are accompanied by solutions. Specifically, it includes:
  
  - Questions 1, 2, 5, and 7 are presented without solutions.
  - Questions 3, 4, and 6 are presented with solutions.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a series of ratio and proportion questions, some of which are accompanied by solutions. Specifically, it includes:
  
  - Questions 1, 2, 5, and 7 are presented without solutions.
  - Questions 3, 4, and 6 are presented with solutions.
  
  Label: multiple-question-and-answer