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anurag rawatela

· started a discussion

· 1 Months ago

yr thoda detail m de do kaun kya hai kisko ku minus kr rhe hai kisse minus krna h kuch to (Question: 246963.0 )

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Question:
Find the greatest number which is such that when 76, 151 and 226 are divided by it, the remainders are all alike. Find also the common remainder.
Options:
A) 57, 2
B) 75, 2
C) 75, 1
D) 57, 1
Solution:

Ans: (c)

If 76, 151, 226 are term

then, (151 – 76), (226 – 151), (226 – 76)

75,  75,  15

HCF = 75

Remainder = 1

Knowledge Expert

· commented

· 1 Months ago

Dear Student ,
We have to find highest no which divides 76, 151 and 226 the remainders should be same.
So we can take HCF of difference between any two pairs, which comes out to be 75.
So our answer is 75.

Remainder can be calculated by dividing any of the three no( 76, 151 , 226) by 75.
Example - 76/75 , remainder = 1

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