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Averages Problem
Q. x, y, and z are consecutive integers, and x < y < z. What is the average of x, y, and z?
(1) x = 11
(2) The average of y and z is 12.5.
IMO - D, am I correct?
- by MI3
Tue Jul 19, 2011 11:59 am- Forum: Data Sufficiency
- Topic: Averages Problem
- Replies: 1
- Views: 885
Averages
Q. L spends total $6.00 for one kind of D and one kind of C. How many D did he buy?
(1) the price of 2D was $0.10 less than the price of 3C
(2) the average price of 1 D and 1 C was $0.35
Unfortunately, I don't have the resolution to the above problem, please opine.
Thanks,
M
- by MI3
Tue Jul 19, 2011 11:58 am- Forum: Data Sufficiency
- Topic: Averages
- Replies: 0
- Views: 818
Combined) This is where it will serve you to know the weighted average formula well. Combined, the statements tell us that the manager average is $5,000 below the weighted average, and that the directors average is $15,000 above. With A = weighted average salary of all employees [M(A - 5000) + D(A ...
- by MI3
Tue Jul 19, 2011 11:47 am- Forum: Data Sufficiency
- Topic: Percentages
- Replies: 3
- Views: 1170
IMO the choice is A Statement (1): N is prime and N^6 is even hence N is even as well. So N will be 2 (as 2 is the only even prime number) Hence (1) is sufficient. Note: Prime numbers can only be positive. Statement (2): 2N+14<20 and hence N<3. But we cant guess the exact value of N. Hence (2) is n...
- by MI3
Sun Jul 17, 2011 7:56 am- Forum: Data Sufficiency
- Topic: Median
- Replies: 11
- Views: 2429
We are given 4 of the 5 numbers in the set {-9, -8, 4, 15, N} with N as an unknown value. If -8 <= N <= 4, then N is the median, since there are an odd number of integers in the set. If N < -8 or N > 4, then (-8 + 4)/2 = -2 is the median. In other words, if we know that -8 <= N <= 4, we must know i...
- by MI3
Sun Jul 17, 2011 7:51 am- Forum: Data Sufficiency
- Topic: Median
- Replies: 11
- Views: 2429
Q. Set X consists of different positive numbers arranged in ascending order: K, L, M, 5, 7. If K, L and M are consecutive integers, what is the arithmetic mean of set X? (1) The product K × L × M is a multiple of 6 (2) There are at least 2 prime numbers among K, L and M IMO - A , am I correct? Hi...
- by MI3
Sun Jul 17, 2011 7:42 am- Forum: Data Sufficiency
- Topic: Arithmetic mean
- Replies: 3
- Views: 2406
Median
Q. What is the median of set A {-8, 15, -9, 4, N}?
(1) N is a prime and N^6 is even (2) 2N + 14 < 20
Is the answer E ?
- by MI3
Sun Jul 17, 2011 7:28 am- Forum: Data Sufficiency
- Topic: Median
- Replies: 11
- Views: 2429
Sorry - Ignore the above question, I figured it out, answer is E.MI3 wrote:Q. Which of the following could be the median of a set consisting of 6 different primes?
(A) 2 (B) 3 (C) 9.5 (D) 12.5 (E) 39
- by MI3
Sun Jul 17, 2011 7:12 am- Forum: Problem Solving
- Topic: Median
- Replies: 3
- Views: 3189
Median
Q. Which of the following could be the median of a set consisting of 6 different primes?
(A) 2 (B) 3 (C) 9.5 (D) 12.5 (E) 39
- by MI3
Sun Jul 17, 2011 7:08 am- Forum: Problem Solving
- Topic: Median
- Replies: 3
- Views: 3189
Credit card problem!
Q. On Jane's credit card account, the average daily balance for a 30-day billing cycle is average (arithmetic mean) of the daily balances at the end of the 30 days. At the beginning of a certain 30-day billing cycle, Jane's credit card account had a balance of $600. Jane made a payment of $300 on th...
- by MI3
Sun Jul 17, 2011 3:11 am- Forum: Data Sufficiency
- Topic: Credit card problem!
- Replies: 2
- Views: 1110
DS Question
Q. A new cell phone plan is offering pricing based on average monthly use. Brandon and Jodie are comparing their average use to determine the best plan for them. Brandon's average monthly usage in 2001 was q minutes. Was this less than, greater than, or equal to Jodie's 2001 average monthly usage, i...
- by MI3
Sun Jul 17, 2011 3:01 am- Forum: Data Sufficiency
- Topic: DS Question
- Replies: 1
- Views: 1184
Average score
Q. The average score of x number of exams is y. When an additional exam of score z is added in, does the average score of the exams increase by 50%?
(1) 3x = y (2) 2z - 3y = xy
Please opine on how to resolve the above problem.
- by MI3
Sun Jul 17, 2011 2:51 am- Forum: Data Sufficiency
- Topic: Average score
- Replies: 3
- Views: 1821
Mean - Question
Q. If numbers N and K are added to set X {2, 8, 10, 12}, its mean will increase by 25%. What is the value of N^2 + 2NK + K^2 ?
(A) 28 (B) 32 (C) 64 (D) 784 (E) 3600
IMO D, am I correct?
- by MI3
Sun Jul 17, 2011 2:48 am- Forum: Problem Solving
- Topic: Mean - Question
- Replies: 2
- Views: 1129
Arithmetic mean
Q. Set X consists of different positive numbers arranged in ascending order: K, L, M, 5, 7. If K, L and M are consecutive integers, what is the arithmetic mean of set X?
(1) The product K × L × M is a multiple of 6
(2) There are at least 2 prime numbers among K, L and M
IMO - A, am I correct?
- by MI3
Sun Jul 17, 2011 2:46 am- Forum: Data Sufficiency
- Topic: Arithmetic mean
- Replies: 3
- Views: 2406
Integers
Q. If set R contains the consecutive integers from -5 to -1, what is the mean of set R?
A. -5 B. -3 C. 0 D. 3 E. 5
IMO - B, am I correct?
- by MI3
Sun Jul 17, 2011 2:45 am- Forum: Problem Solving
- Topic: Integers
- Replies: 1
- Views: 915