Question: If n is an integer, then the least possible value of |33 - 5n| is?
Options:
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Answer: |33 - 5n| represents the distance between 33 and 5n on the number line. Now, the distance will be minimized when 5n, which is multiple of 5, is closest to 33. Multiple of 5 which is closest to 33 is 35 (for n = 7), so the least distance is 2: |33 - 35| = 2.
The answer is (C).

Question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 50
(B) 75
(C) 100
(D) 120
(E) 25
Answer: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m
The answer is (A).

Question: An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720
Answer: 5C1 * 4C1 * 3C1 = 5*4*3 = 60.
The answer is (C).

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) 4
(D) 5
(E) 6
Answer:
(1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
The answer is (B).