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State whether the statement is true or false.

Reenu got $27$ part of an apple while Sonal got $45$ part of it. Sonal got $1835$ part of the apple more than Reenu.

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True

False

answer is A.

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Detailed Solution

Given that,
Reenu got

27

part of an apple.
Sonal got

45

part of an apple.
Since the denominators of the above fractions are different , we need to take LCM of the denominators.
Therefore, the L.C.M of 5 and 7

= 35

.
Now, using L.C.M. as a common denominator

⇒ 2 × 5 7 × 5 = 1035

4 × 7 5 × 7 = 2835

Now, comparing the numerators of

1035

and

2835

1035 < 2835

Thus,

27 < 45

.
Since Sonal got the larger part of the apple

⇒ 45 − 27 = 28 − 10 35 = 1835

Therefore, Sonal got

1835

part of the apple more than Reenu.
Thus, the given statement is true.
Hence, option (1) is correct.

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