Find the length of the longest rod which

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Number System (1)

Question:

Find the length of the longest rod which can be used to measure exactly the lengths 5 m 13 cm, 11 m 34 cm and 12 m 15 cm.

Options:

11 cm

9 cm

1 m 3 cm

27 cm

Correct Answer:

27 cm

Explanation:

Given lengths 5 m 13 cm, 11 m 34 cm and 12 m 15 cm or 513 cm , 1134 cm, 1215 cm

513 = 3*3*3*19

1134 = 2*3*3*3*3*7

1215 = 3*3*3*3*3*5

HCF of 513, 1134, 1215 = 27

The correct answer is Option (4) → 27 cm