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

24th SSC CGL level Question Set, 3rd on topic Arithmetic Ratio & Proportion

SSC CGL question set 24 ratio and proportion3

This is the 24th question set of 10 practice problem exercise for SSC CGL exam and 3rd on topic Arithmetic Ratio & Proportion. Students should take this test in prescribed time first and then only refer to its companion solution set.

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

To check the answers refer to the link of the corresponding solution set 24 at the end.


24th question set- 10 problems for SSC CGL exam: topic Arithmetic Ratio & Proportion - time 15 mins

Problem 1.

Divide Rs. 4067 among $A$, $B$ and $C$ in such a way that 4 times the share of $A$, 5 times the share of $B$ and 7 times the share of $C$ are all equal. What is then the share of $A$ in Rs.?

  1. 1614
  2. 1715
  3. 1825
  4. 1516

Problem 2.

The ratio of present age of a gentleman and his wife is 5 : 4 and after 4 years it will be 11 : 9. When they were married the ratio was 7 : 5. How long ago were they married?

  1. 10 years
  2. 8 years
  3. 12 years
  4. 6 years

Problem 3.

1% of tea is wasted at the time of mixing of two kinds of tea priced at Rs.600 per kg and Rs. 800 per kg. In what ratio the two kinds of tea are to be mixed so that there will be a profit of 10% on selling mixed tea at the rate of Rs. 700 per kg?

  1. 3 : 19
  2. 17 : 3
  3. 5 : 17
  4. 17 : 5

Problem 4.

Three persons start a business with capitals in the ratio 3 : 8 : 5. If the first man gets Rs. 600 less than the third as his profit what was the total profit?

  1. 2400
  2. 5400
  3. 4000
  4. 4800

Problem 5.

If a milkman sells his milk at Rs. 30 per litre he incurs losses but if he sells at Rs. 34 per litre he makes a profit. If the loss to gain ratio is 1: 3, his cost price per litre (in Rs.) was,

  1. 31.5
  2. 31
  3. 31.75
  4. 32

Problem 6.

A shopkeeper sells shoes at Rs. 1134 each after giving a discount on the marked price where discount to discounted price ratio was 19 : 81. Had he not given the discount, he would have earned a profit of 40% on the cost price. What is the cost price of each shoe in Rs.?

  1. 900
  2. 1100
  3. 1200
  4. 1000

Problem 7.

Diluted milk from three vessels with milk to water ratios 2 : 3, 3 : 5 and 1: 2 are mixed together taking equal volume from each mixture. What will be the milk to water ratio in the final mixture?

  1. 113 : 247
  2. 133 : 227
  3. 147 : 213
  4. 101 : 259

Problem 8.

The number of students in three classes are in the ratio 2 : 3 : 4. If 12 students are increased in each class, the ratio changes to 8 : 11 : 14. the total number of students in three classes in the beginning was,

  1. 108
  2. 54
  3. 96
  4. 162

Problem 9.

In two bags $a$ and $b$ the ratio of number of balls is 2 : 3. Five balls are taken out from bag $b$ and dropped into bag $a$ making the two numbers equal. The number is,

  1. 45
  2. 30
  3. 25
  4. 20

Problem 10.

Three numbers are in the ratio 2 : 3 : 4. If sum of their squares is 1856, then the numbers are,

  1. 16, 24, 32
  2. 8, 12, 16
  3. 12, 18, 24
  4. none of these

You will find the answers and the detailed conceptual solutions to these questions in SSC CGL level Solution Set 24, Arithmetic Ratio & Proportion 3.


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 Question 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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