Rationale: Sum of 10 odd no. = 100
Average = 100/10 = 10
The answer: (B)
Question: The average of first 10 odd numbers is?
Options:
(A) 44
(B) 10
(C) 99
(D) 77
(E) 62
Reasoning: Each person is one participant of 6 games. So there are in all 6*15 = 90 instances of one participant games. But each game has 2 participants so total number of games = 90/2 = 45
Ans: (C)
Question: There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?
Options:
(A) 10
(B) 20
(C) 45
(D) 60
(E) 120
Rationale: Number of ways of choosing 3 stocks = 7C3
Number of ways of ranking the chosen stocks = 3!
Hence total ways of choosing and ranking = 7C3 * 3! = 7!/4! = 7*6*5 = 210
The answer: (C)
Question: An equity analyst needs to select 3 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 7, in how many ways can she choose and rank her top 3 picks?
Options:
(A) 21
(B) 35
(C) 210
(D) 420
(E) 840
Reasoning: 1/11 + 1/22 = 3/22
22/3 = 7 1/3 days
Ans: (B)
Question: Ravi can do a piece of work in 11 days while Prakash can do it in 22 days. In how many days will they finish it together?
Options:
(A) 5 7/3 days
(B) 7 1/3days
(C) 5 1/9 days
(D) 5 7/3 days
(E) 4 7/9 days
Rationale: At least one of U and V is odd
The answer: (A)
Question: For integers U and V, when U is divided by V, the remainder is odd. Which of the following must be true?
Options:
(A) At least one of U and V is odd
(B) The sum U + V is odd
(C) U and V share no common factors other than 1
(D) UV is odd.
(E) U is odd
Rationale: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6.
The answer: (C)
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3