q: In how many different ways can the letters of the word "FAME" be rearrangement?
Options:
(A) 26
(B) 24
(C) 28
(D) 12
(E) 30
a: Stream of consciousness: Option 'B'
The total number of arrangements is
4P4 = 4! = 24 The answer is (B).

question: Express 45 mps in kmph?
Options:
(A) 170
(B) 160
(C) 162
(D) 130
(E) 122
answer: Stream of consciousness: 45 * 18/5 = 162 kmph The answer is (C).

q: How many factors does 49^2 have?
Options:
(A) 2
(B) 8
(C) 24
(D) 25
(E) 36
a: Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 6*6 = 36 The answer is (E).

question: A train running at the speed of 50 km/hr crosses a pole in 18 seconds. Find the length of the train.
Options:
(A) 150
(B) 188
(C) 250
(D) 288
(E) 300
answer: Stream of consciousness: Speed = 50*(5/18) m/sec = 125/9 m/sec
Length of Train (Distance) = Speed * Time
(125/9) * 18 = 250 meter The answer is (C).

q: 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
a: 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. The answer is (E).

q: The measure of the side of a square is tripled. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 9x
(D) 12x
(E) 27x
a:
Stream of consciousness: Original perimeter = x
Hence original side = x/4
New side = 3x/4
New perimeter = 4*3x/4 = 3x The answer is (A).