Reasoning: Hint: n^2-5 (n is an integer) is never multiple of 3 (try to prove this), hence 30 is out.
Ans: (D)
Question: For some integer n, n^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 41
(B) 38
(C) 29
(D) 30
(E) 31
Rationale: Increase = (60/60)*100 = (6/6)*100 = 100%.
The answer: (B)
Question: John makes $60 a week from his job. He earns a raise and now makes $120 a week. What is the % increase?
Options:
(A) 16%
(B) 100%
(C) 17%
(D) 17.61%
(E) 17.56%
Reasoning: Total work done by both machines in a minute = 30 + 20 = 50 copies
Total number of copies required = 2000
Time = 2000/50 = 40 mins
Ans: (B)
Question: One copy machine can make 30 copies a minute, and a second copy machine makes 20 copies a minute. If the two copiers work together, how long would it take them to make 2,000 copies?
Options:
(A) 20 minutes
(B) 40 minutes
(C) 45 minutes
(D) 50 minutes
(E) 55 minutes
Rationale: The pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube.
The answer: (B)
Question: 8, 27, 64, 100, 125, 216, 343
Options:
(A) 40
(B) 100
(C) 290
(D) 102
(E) 293
Reasoning: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030
Ans: (E)
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220030
Reasoning: S = 240/16 * 18/5 = 54 kmph
Ans: (C)
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 77 kmph
(C) 54 kmph
(D) 71 kmph
(E) 88 kmph