SSC CGL level Question Set 31, Ratio & Proportion 5

31st SSC CGL level Question Set, 5th on topic Ratio & Proportion

SSC CGL Question Set 31 Ratio and Proportion 5

This is the 31st question set of 10 practice problem exercise for SSC CGL exam and 5th on topic Ratio & Proportion.

For maximum gains, the test should be taken first, that is obvious. But more importantly, to absorb the concepts, techniques and deductive reasoning elaborated through the solutions, one must solve many problems in a systematic manner using the conceptual analytical approach.

Learning by doing is the best learning. There is no alternative towards achieving excellence.


Method of taking the test for getting the best results from the test:

  1. Before start, go through any short but good material to refresh your concepts if you so require.
  2. Answer the questions in an undisturbed environment with no interruption, full concentration and alarm set at 15 minutes.
  3. When the time limit of 15 minutes is over, mark up to which you have answered, but go on to complete the set.
  4. At the end, refer to the answers given at the end to mark your score at 15 minutes. For every correct answer add 1 and for every incorrect answer deduct 0.25 (or whatever is the scoring pattern in the coming test). Write your score on top of the answer sheet with date and time.
  5. Identify and analyze the problems that you couldn't do to learn how to solve those problems.
  6. Identify and analyze the problems that you solved incorrectly. Identify the reasons behind the errors. If it is because of your shortcoming in topic knowledge improve it by referring to only that part of concept from the best source you can get hold of. You might google it. If it is because of your method of answering, analyze and improve those aspects specifically.
  7. Identify and analyze the problems that posed difficulties for you and delayed you. Analyze and learn how to solve the problems using basic concepts and relevant problem solving strategies and techniques.
  8. Give a gap before you take a 10 problem practice test again.

Important: both practice tests and mock tests must be timed, analyzed, improving actions taken and then repeated. With intelligent method, it is possible to reach highest excellence level in performance.

Recommended reading before the test

Concept tutorials on Arithmetic Ratios and related topics

Basic concepts on fractions and decimals part 1

Basic concepts on Ratio and Proportion

Problems on mixing liquids and based on ages

Basic and Rich Percentage Concepts for solving difficult SSC CGL problems

You will get the answers to these questions in the corresponding solution set referretd to at the end of these questions.


31st question set- 10 problems for SSC CGL exam: 5th on topic Ratio & Proportion- time 15 mins

Problem 1.

A certain amount of money is divided among A, B and C. If A receives 25% more than B and B receives 25% less than C, then A : B : C is,

  1. 12 : 10 : 11
  2. 10 : 9 : 12
  3. !5 : 12 : 16
  4. 14 : 12 : 13

Problem 2.

Two numbers are in the ratio 17 : 45. One third of the smaller is less than one fifth of the larger by 15. The smaller number is,

  1. $25\displaystyle\frac{1}{2}$
  2. $86\displaystyle\frac{1}{2}$
  3. $67\displaystyle\frac{1}{2}$
  4. $76\displaystyle\frac{1}{2}$

Problem 3.

A policeman starts to chase a thief and moves 8 steps when the thief takes 10 steps, but 7 steps of the thief equals 5 steps of the policeman. The ratio of the speeds of the policeman and the thief is,

  1. 25 : 28
  2. 26 : 25
  3. 25 : 26
  4. 28 : 25

Problem 4.

Two numbers are in ratio of 3 : 5 and their LCM is 225. The smaller number is,

  1. 75
  2. 45
  3. 60
  4. 90

Problem 5.

Two numbers are in the ratio of $1\displaystyle\frac{1}{2} : 2\displaystyle\frac{2}{3}$. When each of these is increased by 15, the ratio changes to $1\displaystyle\frac{2}{3} : 2\displaystyle\frac{1}{2}$. The larger of the numbers is,

  1. 48
  2. 27
  3. 36
  4. 64

Problem 6.

The ratio of savings to expenditure of a person is 2 : 3. If his savings increases by 6% while his income increases by 15% then by how much percentage did his expenditure increase?

  1. 21%
  2. 24%
  3. 12%
  4. 25%

Problem 7.

A trader sells 20 kg of sugar at Rs. 400 and agrees to the request of a customer to give him a discount of 20%. But being a dishonest trader he uses a spurious weight which is less by 4% per kg of weight. The effective discount that the customer then gets,

  1. 15.5%
  2. 16%
  3. 16.66%
  4. 19.6%

Problem 8.

When A, B and C do a task together the ratio of work that A and B do together with respect to what C does is 7 : 3 and the ratio of work that B and C together do to the work A does is 1 : 1. Which worker among the three is most efficient?

  1. B
  2. A
  3. C
  4. Cannot be answered with the given information

Problem 9.

In three containers of equal capacity, the ratio of milk to water is 3: 2, 7 : 3 and 11 : 4 respectively. If the liquids in the three containers are mixed together, what will be the milk to water ratio in the new mixture?

  1. 61 : 28
  2. 60 : 29
  3. 59 : 29
  4. 61 : 29

Problem 10.

Vinny got twice as many marks in English as in Science. Her total marks in English, Science and Maths is 180. If the ratio of her marks in Maths and English is 3 : 2, what is her marks in Science?

  1. 30
  2. 72
  3. 60
  4. 90

You will find the answers and the detailed conceptual solutions to these questions in SSC CGL level Solution Set 31, Ratio and Proportion 5.


Resources that should be useful for you

7 steps for sure success in SSC CGL tier 1 and tier 2 competitive tests or section on SSC CGL to access all the valuable student resources that we have created specifically for SSC CGL, but generally for any hard MCQ test.

Concept Tutorials on related topics

Basic concepts on fractions and decimals part 1

Basic concepts on Ratio and Proportion

How to solve problems on mixing liquids and based on ages

Basic and Rich Percentage Concepts for solving difficult SSC CGL problems

Efficient solution techniques on related topics

How to solve SSC CGL level arithmetic mixture problems in a few simple steps 1

How to solve SSC CGL level arithmetic mixture problems in a few simple steps 2

How to solve SSC CGL level number and age ratio problems lightning fast

Other SSC CGL question and solution sets on Ratio & Proportion and Percentage

SSC CGL level Solution Set 69, Percentage 3

SSC CGL level Question Set 69, Percentage 3

SSC CGL level Solution Set 68, Ratio Proportion  6

SSC CGL level Question Set 68, Ratio Proportion  6

SSC CGL level Solution Set 31, Ratio and Proportion 5

SSC CGL Level Solution Set 25, Percentage, Ratio and Proportion 4

SSC CGL level Question Set 25, Percentage, Ratio and Proportion 4

SSC CGL level Solution Set 24, Arithmetic Ratio & Proportion 3

SSC CGL level Question Set 24, Arithmetic Ratio & Proportion 3

SSC CGL level Solution Set 5, Arithmetic Ratio & Proportion 2

SSC CGL level Question Set 5, Arithmetic Ratio & Proportion 2

SSC CGL level Solution Set 4, Arithmetic Ratio & Proportion 1

SSC CGL level Question Set 4, Arithmetic Ratio & Proportion 1

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