q: Solve:-
333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 889
a: Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2) The answer is (A).
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q: How many five-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?
Options:
(A) 33
(B) 66
(C) 0
(D) 99
(E) 132
a: Stream of consciousness: A number ending with 3 can never be a perfect square. The answer is (C).
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q: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 7 ?
Options:
(A) 3
(B) 1
(C) 4
(D) 0
(E) 2
a:
Stream of consciousness: A number ending with 7 can never be a perfect square. The answer is (D).
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