Rationale: Other number = (12 x 600)/480 = 15.
The answer: (D)
Question: The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the numbers is 480, then the other is:
Options:
(A) 11
(B) 10
(C) 8
(D) 15
(E) 12
Reasoning: Final number = Initial number + 40%(original number) = 150 + 40%(150) = 150 + 60 = 210.
Ans: (B)
Question: 150 is increased by 40%. Find the final number.
Options:
(A) 200
(B) 210
(C) 180
(D) 190
(E) 220
Rationale: You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.
The answer: (C)
Question: How many terminating zeroes E does 200! have?
Options:
(A) 40
(B) 48
(C) 49
(D) 55
(E) 64
Reasoning: Saving = (40-33)% of 45000 = 3150.
Ans: (C)
Question: If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an annual income before tax to the tune of $45000?
Options:
(A) $3500
(B) $5000
(C) $3150
(D) $7000
(E) $10000
Rationale: 14 m/s = 14 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 14 * 18/5 * 15/4 km = 189 km.
The answer: (C)
Question: If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 288
(B) 162
(C) 189
(D) 168
(E) 122
Rationale: Answer = D. 130 miles
Relational speed = 130 - 80 = 50 miles per hour
In 3 hours, difference = 50 * 3 = 150 miles
Fast train trailing 20 miles, so effective difference = 150 - 20 = 130 miles
The answer: (D)
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 80 miles per hour. At 2 o'clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 90 miles
(D) 130 miles
(E) 400 miles