Delhi Police Constable Exam Model Paper 3

Question : 79 of 100

Marks: +1, -0

Of the following the largest fraction is

6/7, 4/5, 5/6, 7/8, 4/7 ?

Solution:

We find the LCM of all the denominators i.e., 7, 5, 6 and 8
LCM of 7, 5, 6, 8 = 840
⇒

6/7 = (6 × 120)/840 = 720/840

;⇒

4/5 = (4 × 168)/840 = 672/840;

⇒

5/6 = (5 × 140)/840 = 700/840;

⇒

7/8 = (7 × 105)/840 = 735/840;

Clearly,

4/5 < 5/6 < 6/7 < 7/8

∴ Largest fraction = 7/8Question Number: 80

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