If 1/M:1/N:1/O=3:4:5, then M : N : O is equal to:

Correct Answer is : 20 : 15 : 12

Correct Answer is : 20 : 15 : 12

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UPTET Paper 2 Math and Science Model Test 4

Section: Mathematics and Science

Question : 125 of 150

Marks: +1, -0

\frac{1}{M}:\frac{1}{N}:\frac{1}{O}=3:4:5

, then M : N : O is equal to:

Solution:

Concept:

If the ratio of reciprocals is given, the original ratio is found by taking the reciprocals of the given ratio terms.

Explanation:

We have

\frac{1}{M}:\frac{1}{N}:\frac{1}{O}=3:4:5

Taking reciprocals of each term gives

M:N:O = \frac{1}{3}:\frac{1}{4}:\frac{1}{5}

To convert this into whole numbers, multiply each term by the LCM of denominators 3, 4, and 5, which is 60.

Thus,

M:N:O = \frac{60}{3}:\frac{60}{4}:\frac{60}{5} = 20:15:12

Answer:

Option B: 20 : 15 : 12.

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