RRB NTPC/ASM/CA/TA Exam > RRB NTPC/ASM/CA/TA Questions > Letxbe the greatest number which when divides...
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Let x be the greatest number which when divides 955,1027,1075, the remainder in each case is the same. Which of the following is not a factor of x?
- a)6
- b)8
- c)4
- d)16
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Letxbe the greatest number which when divides955,1027,1075, the remain...
Given,
Number =955,1027,1075
As we know,
The greatest number means we will calculate the HCF of the given number. We will see the factors of numbers.
Required number (x)= HCF of (1027−955),(1075−1027) and (1075−955)
Required number (x)=HCF of \(72,48\) and \(120\)
HCF of 72,48 and 120=24
Required number (x)=24
Factors of 24=6,8,4 but 16 is not the factor of 24
∴16 is not the factor of 24.
Number =955,1027,1075
As we know,
The greatest number means we will calculate the HCF of the given number. We will see the factors of numbers.
Required number (x)= HCF of (1027−955),(1075−1027) and (1075−955)
Required number (x)=HCF of \(72,48\) and \(120\)
HCF of 72,48 and 120=24
Required number (x)=24
Factors of 24=6,8,4 but 16 is not the factor of 24
∴16 is not the factor of 24.
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Letxbe the greatest number which when divides955,1027,1075, the remainder in each case is the same. Which of the following is not a factor ofx?a)6b)8c)4d)16Correct answer is option 'D'. Can you explain this answer?
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