question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
(A) 3
(B) 4
(C) 6
(D) 9
(E) 8
answer: Stream of consciousness: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted The answer is (A).

q: 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
a: Stream of consciousness: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2 The answer is (B).

question: Find the area of a parallelogram with base 24 cm and height 16 cm.
Options:
(A) 384 cm^2
(B) 200 cm^2
(C) 250 cm^2
(D) 350 cm^2
(E) 400 cm^2
answer: Stream of consciousness: Area of a parallelogram = base * height = 24 * 16 = 384 cm2 The answer is (A).

q: The inverse ratio of 4: 2: 1 is?
Options:
(A) 2:4:8
(B) 2:3:9
(C) 2:3:2
(D) 2:3:6
(E) 2:3:1
a: Stream of consciousness: 1/4: 1/2: 1/1 = 2:4:8 The answer is (A).

question: Find the smallest number which should be multiplied with 1152 to make it a perfect square.
Options:
(A) 2
(B) 1
(C) 3
(D) 5
(E) 6
answer: Stream of consciousness: 1152 = 2*2*2*2*2*2*2*3*3
Required smallest number = 2
2 is the smallest number which should be multiplied with 1152 to make it a perfect square. The answer is (A).

question: If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/5
(E) 1/10
answer:
Stream of consciousness: 15 + 20 + 55 = 90% 100 - 90 = 10% to all others The answer is (E).