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Ratio Proportion

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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

R can do a piece of work in 20 days and K in 25 days. They work together for 5 days and then K leaves. In how many days would R finish the work?

  1. 5
  2. 9
  3. 10
  4. 11
  5. 12


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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

A fort has a provision for 900 men for 40 days. After 20 days, 300 men join them. For how many days more will the provision last for?

  1. 5 days
  2. 10 days
  3. 15 days
  4. 20 days
  5. 25 days


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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

An officer divided his 35 hour work week as follows:

\frac{1}{5} of his time was spent in sending mails

\frac{1}{2} of his time in filing letters

\frac{1}{7} of his time in reception work

The rest of his time is spent in messenger work.

What is the percent time spent on messenger work?

  1. 6%
  2. 10%
  3. 12%
  4. 16%
  5. 21%


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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

Three types of tea each worth $6.00 / lb, $7.50 / lb and $x / lb are mixed in proportion of 1 : 2 : 3 to form a mixture worth $8.50 / lb. What is the value of x in $ / lb?

  1. 7.00
  2. 7.50
  3. 8.00
  4. 8.50
  5. 10.00


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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

What is two fifth of one tenth of three eight of nine eleventh?

  1. \frac{27}{2100}
  2. \frac{26}{2200}
  3. 1
  4. \frac{54}{4400}
  5. \frac{11}{2100}


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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

In equal amounts of time three professors are able to solve problems in the ratio of 1.5 : 2.5 : 3.5. If the professor with the least capability can solve 6 problems in 2 hours, how many problems will the professor with highest ability solve in 3 hours? Assume that they solve problems with uniform speed.

  1. 9
  2. 10
  3. 15
  4. 21
  5. 24


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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

Three men or six women do a piece of work in 20 days. In how many days can 12 men and 8 women do the same piece of work?

  1. 1\frac{3}{4}days
  2. 2\frac{1}{2}days
  3. 3\frac{3}{4}days
  4. 4\frac{1}{4}days
  5. 5\frac{1}{2}days


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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

A tank normally filled in 8 hours takes 2 hours longer owing to a leak. If the tank is full the leak shall empty in _________ hours?

  1. 16
  2. 20
  3. 25
  4. 40
  5. 45


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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

A tap can fill a tank in 3 hours and another tap in 2 hours. An outlet can drain the tank completely in 4 hours. If all three are kept open, how long would it take to fill the tank completely?

  1. 2 hours
  2. 3 hours
  3. 4 hours
  4. The tank will never be full.
  5. None of these.


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Here’s and example of a SMART MATH problem for RATIO PROPORTION.

Ratio Proportion

Problem

Two vessels contain spirit and water mixed in the ratio 5 : 3 and 3 : 1 respectively. In what ratio should they be mixed together to get the ratio of spirit and water in the final mixture as 2 : 1?

  1. 1 : 2
  2. 5 : 4
  3. 4 : 5
  4. 2 : 1
  5. 3 :1


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