Rationale: C
30
This is an alternating addition and subtraction series. In the first pattern, 20 is subtracted from each number to arrive at the next. In the second, 10 is added to each number to arrive at the next.
The answer: (C)
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?
Look at this series: 95, 10, 75, 20, 55, ... What number should come next?
Options:
(A) 35
(B) 40
(C) 30
(D) 25
(E) 90
Reasoning: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 54 = 378
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 378 - 780 = 25.
Ans: (A)
Question: The average of 13 numbers is 60. Average of the first 7 of them is 54 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 25
(B) 83
(C) 45
(D) 53
(E) 64
Rationale: 5 + 7 +11 + 13 + 17 + 19 = 72/6 = 12
The answer: (C)
Question: The average of first six prime numbers greater than 3 is?
Options:
(A) 16
(B) 10
(C) 12
(D) 19
(E) 17.8
Reasoning: Distance between Bob's house and Jamie's restaurant: 30 x 3 = 90 km
Rate of speed to get to Bob's house in an hour: 90 x 1 = 90 km/h
Rate of speed to get to Bob's house in half an hour: 90/2 = 45 km/h
Ans: (B)
Question: Jamie's friend Bob is having a party, but Jamie forgot and went to dinner with her friend Emily instead. Bob's party starts in half an hour. Bob lives 30 km away from Jamie, and the restaurant Jamie and Emily are at is three times as far away from Bob's house as Jamie's house is.
How fast would Jamie have to drive in order to get to Bob's party on time?
Options:
(A) 30 km/h
(B) 45 km/h
(C) 60 km/h
(D) 75 km/h
(E) 90 km/h
Rationale: Number of times wheel moves in 1 hour = 12 * 60 = 1200
:. Distance moves = (1200*15) cms = 18000 cms
In metres = 180 metre
The answer: (C)
Question: A wheel rotates 20 times every minute and moves 15 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 6 metre
(B) 18 metre
(C) 180 metre
(D) 1200 metre
(E) 130 metre
Rationale: Start from 1: 1368, Start from 2: 2358, Start from 3: 378, Start from 4: 48, Start from 5: 528, Start from 6: 678, Start from 7: 78, Why start from 8???, Start from 9: 918. So flights can start from all 8 other cities.
The answer: (B)

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Question: There are 9 cities numbered 1 to 9.From how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3.
Options:
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11