A and B start walking together from a point Their steps measure 72 cm and 84 cm respectively What is...........

Quantitative Aptitude (CPO) Time & distance

A and B start walking together from a point. Their steps measure 72 cm and 84 cm respectively. What is the minimum distance they

should walk so that each takes exact number of steps?

This questions was previously asked in

SSC CPO 14th-March-2019-Shift-2

5.04 m

3.54 m

6.3 m

2.7 m

Let’s break down the question:

- Both A and B need to walk a distance that is a multiple of their step lengths: 72 cm (A) and 84 cm (B).

- The minimum distance where both take an exact number of steps is the Least Common Multiple (LCM) of both step lengths.

Steps:

- Find LCM of 72 and 84:

- Prime factorization: 72 = 2³ × 3², 84 = 2² × 3 × 7.

- LCM = 2³ × 3² × 7 = 8 × 9 × 7 = 504 cm.

- Convert 504 cm to meters: 504 ÷ 100 = 5.04 meters.

Now, look at the options:

1. 5.04 m (Correct)

2. 3.54 m (Not correct; not LCM)

3. 6.3 m (Not correct; not LCM)

4. 2.7 m (Not correct; not LCM)

Option 1: 5.04m is correct.

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