question: A no.when divided by 225 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Options:
(A) 2
(B) 7
(C) 9
(D) 11
(E) 13
answer: Stream of consciousness: 225 + 43 = 268/17 = 13 (Remainder) The answer is (E).

q: Find the third proportional to 2 and 8?
Options:
(A) 10
(B) 32
(C) 36
(D) 19
(E) 20
a: Stream of consciousness: Formula = Third proportional = (b b)/a
A = 2 and B = 8
(8 x 8 )/ 2 = 64/2 = 32 The answer is (B).

question: The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 6x
(D) 12x
(E) 27x
answer: Stream of consciousness: Original perimeter = x
Hence original side = x/4
New side = 6x/4
New perimeter = 4*6x/4 = 6x The answer is (C).

q: What is the are of an equilateral triangle of side 24 cm?
Options:
(A) 663 cm2
(B) 743 cm2
(C) 643 cm2
(D) 645 cm2
(E) 1443 cm2
a: Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 24, Area of triangle = 3/4 * 24 * 24 = 1443 cm2; The answer is (E).

question: Ravi can do a piece of work in 15 days while Prakash can do it in 6 days. In how many days will they finish it together?
Options:
(A) 5 7/9 days
(B) 6 7/9 days
(C) 5 1/9 days
(D) 5 7/2 days
(E) 4 2/7 days
answer: Stream of consciousness: 1/15 + 1/6 = 7/30
30/7 = 4 2/7 days The answer is (E).

question: Which among the following is the greatest?
Options:
(A) 2^3^2
(B) 2^2^3
(C) 3^2^3
(D) 3^3^3
(E) 5^3^3
answer:
Stream of consciousness: 2^3^2 = 29
2^2^3 = 28
3^2^3 = 38
3^3^3 = 327
As 327 > 38, 29 > 28 and 327 > 29. Hence 327 is the greatest among the four. The answer is (D).