Rationale: Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89
The answer: (B)
Question: In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
Options:
(A) 23
(B) 277
(C) 18
(D) 178
(E) 181
Reasoning: Houses containing only one person = 100 40 = 60%
Houses containing only a male = 60 25100 = 15%
Houses containing only one female = 60 15 = 45%
Ans: (E)
Question: In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males?
Options:
(A) 75
(B) 40
(C) 15
(D) Cannot be determined
(E) None of these
Rationale: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph
The answer: (D)
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 6 kmph
(B) 5 kmph
(C) 2 kmph
(D) 8 kmph
(E) 1 kmph
Reasoning: Largest 4 digit number is 9999
After doing 9999 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
Ans: (C)
Question: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 4567
(B) 3588
(C) 9944
(D) 5465
(E) 6784
Rationale: I will go with D (pending elements to match is 2^2*3^2*10^1 = 360
The answer: (D)
Question: If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 363
(D) 360
(E) 484
Rationale: Increase = (30/50)*100 = (3/5)*100 = 60%.
The answer: (E)
Question: John makes $50 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 17.9%
(D) 18.12%
(E) 60%