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Q.

Find the largest integer that will divide 122, 150, 115 leaving remainder 5, 7, 11 respectively.

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a

3

b

2

c

13

d

11

answer is C.

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Detailed Solution

Concept-We know that,

We must find

for each number first.
Let divisor be d and quotient be q.
Divisor for every number will be equal and that is what we need to find.
Question Image

Question Image

Now HCF of 117, 143, 104 will give us the answer.
Question Image

Question Image

13 is the highest common factor.
Hence, the correct answer is option 3.

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Find the largest integer that will divide 122, 150, 115 leaving remainder 5, 7, 11 respectively.