What is the largest possible length of a scale so that the lengths of 12 m, 20 cm, and 4 m 20 cm can be accurately measured?

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UP Police SI (दरोगा) Previous Paper 2 (Held On: 13 Dec 2017 Shift 3)
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  1. 30 cm
  2. 10 cm
  3. 20 cm
  4. 40 cm

Answer (Detailed Solution Below)

Option 3 : 20 cm
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Solution:

Given:

Lengths are 12 m, 20 cm, and 4 m 20 cm.

Formula:

1 m = 100 cm

Calculation:

12 m = 1200 cm

4 m 20 cm = 420 cm

H.C.F of 1200, 420, 20

20 = 20 × 1

1200 = 20 × 6 × 10

420 = 20 × 21

H.C.F = 20

The largest possible length of the scale is 20 cm

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