Rationale: Average score for first 4 rounds = 58
Average score after 5 rounds = 56
Score Scott needs on his 5th round to drop average score by 2 points = 58 - (2*5) = 48
The answer: (A)
Question: Scott's average (arithmetic mean) golf score on his first four rounds was 58.What score does he need on his fifth round to drop his average score by 2 points?
Options:
(A) 48
(B) 72
(C) 78
(D) 88
(E) 312
Reasoning: (x - 1)! = (x - 2)! * (x-1)
(x - 1)!/(x-2)! = x - 1
Ans: (E)
Question: Which of the following is equal to (x-1)!/(x-2)!?
Options:
(A) x-1
(B) 1+(1/x)
(C) 1
(D) x+1
(E) x-1
Rationale: Speed downstream = d/t = 78/(4) = 20 kmph
Speed upstream = d/t = 56/(4) = 14 kmph
The speed of the stream = (20 - 14)/2 = 3 kmph
The answer: (E)
Question: A man rows his boat 78 km downstream and 56 km upstream, taking 4 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 8
(E) 3
Reasoning: 1 odd day in the year 2009
So, the day on 15th September 2010 will be one day beyond the day on 15th September 2009
But, 15th September 2010 is Wednesday
On 15th September 2009, it was Tuesday
Ans: (D)
Question: Wednesday occurred on 15th September 2010. What was the day of the week on 15th September 2009?
Options:
(A) Monday
(B) Friday
(C) Wednesday
(D) Tuesday
(E) Sunday
Rationale: Speed downstream = d/t = 90/3 = 30 kmph
Speed upstream = d/t = 72/(3) = 24 kmph
The speed of the stream = (30 - 24)/2 = 3 kmph
The answer: (D)
Question: A man rows his boat 90 km downstream and 72 km upstream, taking 3 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 3
(E) 2
Rationale: Suppose the amount in the beginning was Rs 'x'
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 100 = 250
The answer: (B)
Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 100. How much did he have with him in the beginning?
Options:
(A) Rs 200
(B) Rs 250
(C) Rs 300
(D) Rs 450
(E) Rs 550