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25 Feb 2023, 04:05
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PS Question 1 - Feb 25 List R contains five numbers that have an average value of 55. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list? a. 35 b. 30 c. 25 d. 20 e. 15 Source: Manhattan | Difficulty: Hard
let "a, b, c, d, e" be 5 numbersaccording to question : (a+b+c+d+e)/5 = 55 = c
so, a+b+55+d+e = 275
To Minimize a we maximize rest all numbers. so, "b" is equal to median "d" is same as "e" which is = 2a+20
Add it up:
a + 55 + 55+ (2a+20) + (2a+20) = 275
5a = 125
a=25
choice C ?
Updated on: 27 Feb 2023, 01:57
Originally posted by gmatophobia on 27 Feb 2023, 01:52.
Last edited by gmatophobia on 27 Feb 2023, 01:57, edited 2 times in total.
Last edited by gmatophobia on 27 Feb 2023, 01:57, edited 2 times in total.
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DS Question 1 - Feb 25 A school administrator will assign each student in a group of N students to one of M classrooms. If 3
DS Question 1 - Feb 27
If set T is obtained by multiplying every elements of set S by 2, is the median of set T greater than that of set S ?
(1) All elements of set S are positive.
(2) The median of set S is positive.
Source: GMAT Club Tests | Difficulty: Medium
PS Question 1 - Feb 27
The mean of four integers will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
Source: GMAT Club Tests | Difficulty: Hard
B
gmatophobia
PS Question 1 - Feb 25 List R contains five numbers that have an average value of 55. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list? a. 35 b. 30 c. 25 d. 20 e. 15 Source: Manhattan | Difficulty: Hard
C
DS Question 1 - Feb 27
If set T is obtained by multiplying every elements of set S by 2, is the median of set T greater than that of set S ?
(1) All elements of set S are positive.
(2) The median of set S is positive.
Source: GMAT Club Tests | Difficulty: Medium
PS Question 1 - Feb 27
The mean of four integers will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
Source: GMAT Club Tests | Difficulty: Hard
Updated on: 01 Mar 2023, 00:27
Originally posted by gmatophobia on 01 Mar 2023, 00:25.
Last edited by gmatophobia on 01 Mar 2023, 00:27, edited 2 times in total.
Last edited by gmatophobia on 01 Mar 2023, 00:27, edited 2 times in total.
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gmatophobia
DS Question 1 - Feb 27 If set T is obtained by multiplying every elements of set S by 2, is the median of set T greater than that of set S ? (1) All elements of set S are positive. (2) The median of set S is positive. Source: GMAT Club Tests | Difficulty: Medium
D
gmatophobia
PS Question 1 - Feb 27 The mean of four integers will not change if all the integers are multiplied by any constant. What is always true about this set of numbers? I. The mean of the set is 0 II. The sum of the largest member and the smallest member of the set is 0 III. The set contains both positive and negative integers A. I only B. II only C. III only D. I and II only E. I, II, and III Source: GMAT Club Tests | Difficulty: Hard
A
DS Question 1 - Mar 01
z is an integer such that |z| 3
(2) |z| = 2
Source: Others | Difficulty: Hard*
PS Question 1 - Mar 01
Standing on the origin of an xy-coordinate plane, John takes a 1-unit step at random in one of the following 4 directions: up, down, left, or right. If he takes 3 more steps under the same random conditions, what is the probability that he winds up at the origin again?
(A) 7/64
(B) 9/64
(C) 11/64
(D) 13/64
(E) 15/64
Source: Manhattan | Difficulty: Hard
Updated on: 01 Mar 2023, 07:09
Originally posted by SelormKofi on 01 Mar 2023, 07:03.
Last edited by SelormKofi on 01 Mar 2023, 07:09, edited 1 time in total.
Last edited by SelormKofi on 01 Mar 2023, 07:09, edited 1 time in total.
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gmatophobia
DS Question 1 - Mar 01 z is an integer such that |z| 3 (2) |z| = 2 Source: Others | Difficulty: Hard*
I’d go for A insteadgmatophobia
PS Question 1 - Mar 01 Standing on the origin of an xy-coordinate plane, John takes a 1-unit step at random in one of the following 4 directions: up, down, left, or right. If he takes 3 more steps under the same random conditions, what is the probability that he winds up at the origin again? (A) 7/64 (B) 9/64 (C) 11/64 (D) 13/64 (E) 15/64 Source: Manhattan | Difficulty: Hard
B 
