Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ?



Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ?

A. 91

B. 127

C. 137

D. 140

Answer : B . 127


Explanation:

    In this type of question, we need to calculate the HCF, trick is,
    HCF (1661 – 10) and (2045 -13)
    = HCF (1651, 2032)
    = 127



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