Question

MATHS QUESTION

Please give full explanation

If r is the remainder when each of 7654, 8506 and 9997 is divided by the greatest
number of (d > 1), then d - r is equal to
a) 14
b) 18
c) 24
d) 28

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Answer 1

Answer:

b 14

Step-by-step explanation:

Required number (d) = HCF of (7654-r), (8506-r) and (9997-r)  

= HCF of (8506-7654), (9997-8506) and (9997-7654)  

= HCF of 852, 1491 and 2343  

= 213  

Remainder after dividing 9997 by 213 = 199  

∴d-r= 213-199 =14