Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.
Options:
(A) 9974
(B) 9125
(C) 9565
(D) 9997
(E) None of these Stream of consciousness:
Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.
Thus, the answer is (E).