question: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
answer:(C)
Stream of consciousness:A number ending with 3 can never be a perfect square.

question:A train 140 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 18 sec
(D) 11 sec
(E) 8 sec
answer:(E)
Stream of consciousness:Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 140 * 2/35 = 8 sec

question:What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 1
(B) 2
(C) 5
(D) 6
(E) 8
answer:
(B)
Stream of consciousness:(1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2