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Delhi Police Constable 3 Jan 2026 Shift 1 Paper

Question : 90 of 100

Marks: +1, -0

If 10M 15

N = 250

, then find the value of M: N:O?

Solution:

Concept:

When multiple expressions equal the same constant, the ratio of the variables is the reciprocal of their coefficients, simplified by LCM.

Explanation:

Given

10M = 15N = 25O

. Let each equal a common value. Then

M = \frac{1}{10}

N = \frac{1}{15}

O = \frac{1}{25}

in ratio form. The LCM of 10, 15, and 25 is 150. Multiply each fraction by 150:

\frac{1}{10} \times 150 = 15

\frac{1}{15} \times 150 = 10

\frac{1}{25} \times 150 = 6

. Thus the ratio

M:N:O

15:10:6

Answer:

M:N:O = 15:10:6

(Option B).

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