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If \(x = 1998\cdot 1999\cdot 2000,\) what is the remainder when \(x\) is divided by \(7?\)

If \(x = 1998\cdot 1999\cdot 2000,\) what is the remainder when \(x\) is divided by \(7?\)

A. 0
B. 1
C. 2
D. 3
E. 4

Answer: E

Source: GMAT Club Tests


A store received 7 crates of oranges. What was the standard deviation of the numbers of oranges in the 7 crates?

A store received 7 crates of oranges. What was the standard deviation of the numbers of oranges in the 7 crates? (1) For the 7 crates of oranges, the median of the numbers of oranges was equal to the greatest of the numbers of oranges. (2) For the 7 crates of oranges, the range of the numbers of ora...


According to a survey, \(70\%\) of Denver residents drink beer, \(60\%\) drink wine, and \(54\%\) drink both beer and

According to a survey, \(70\%\) of Denver residents drink beer, \(60\%\) drink wine, and \(54\%\) drink both beer and wine. What percent of Denver wine-drinkers do not drink beer?

(A) \(6\%\)
(B) \(10\%\)
(C) \(18\%\)
(D) \(20\%\)
(E) \(42\%\)

Answer: B

Source: GMAT Club Tests


If \(|x-y|=y,\) what is the value of \(x?\)

If \(|x-y|=y,\) what is the value of \(x?\)

(1) \(xy>0\)
(2) \(y=6\)

Answer: C

Source: Veritas Prep

by Vincen

Thu Dec 02, 2021 8:31 am
Forum: Data Sufficiency
Topic: If \(|x-y|=y,\) what is the value of \(x?\)
Replies: 0
Views: 14

If \([x]\) denotes the least integer greater than or equal to \(x\) and \([x] = 0,\) which of the following statements

If \([x]\) denotes the least integer greater than or equal to \(x\) and \([x] = 0,\) which of the following statements must be true?

A. \(x = 0\)
B. \(0 \le x < 1\)
C. \(0 < x \le 1\)
D. \(-1 \le x < 0\)
E. \(-1 < x\le 0\)

Answer: E

Source: GMAT Prep


If \([x]\) denotes the least integer greater than or equal to \(x\) and \([x] = 0,\) which of the following statements

If \([x]\) denotes the least integer greater than or equal to \(x\) and \([x] = 0,\) which of the following statements must be true?

A. \(x = 0\)
B. \(0 \le x < 1\)
C. \(0 < x \le 1\)
D. \(-1 \le x < 0\)
E. \(-1 < x\le 0\)

Answer: E

Source: GMAT Prep


In a certain garden, there are only two types of flowers, Roses, and Lilies. Of the 90 women, surveyed, how many like

In a certain garden, there are only two types of flowers, Roses, and Lilies. Of the 90 women, surveyed, how many like neither roses nor lilies?

I. 60% of women like at least one type of flower in the garden.
II. 40% of women like exactly one type of flower in the garden.

Answer: A

Source: e-GMAT


Susie can buy apples from two stores: a supermarket that sells apples only in bundles of 4, and a convenience store that

Susie can buy apples from two stores: a supermarket that sells apples only in bundles of 4, and a convenience store that sells single, unbundled apples. If Susie wants to ensure that the total number of apples she buys is a multiple of 5, what is the minimum number of apples she must buy from the co...


If \(a, b, c,\) and \(d\) are positive integers is \(\dfrac{a-b}{c-d}<-1?\)

If \(a, b, c,\) and \(d\) are positive integers is \(\dfrac{a-b}{c-d}<-1?\)

(1) \(|a - b| > |c - d|\)
(2) \(c > b > d > a\)

Answer: C

Source: Manhattan GMAT


\(M\) is a positive two-digit number. When the digits are reversed, the number is \(N.\) If \(K = M + N,\) which of the

\(M\) is a positive two-digit number. When the digits are reversed, the number is \(N.\) If \(K = M + N,\) which of the following is true? A. \(K\) must be even. B. \(K\) cannot be square. C. \(K\) cannot be divisible by \(13.\) D. \(K\) must be divisible by \(11.\) E. If \(M\) is even then \(K\) mu...


In triangle \(ABC\) above, what is the length of side \(BC?\)

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In triangle \(ABC\) above, what is the length of side \(BC?\)

(1) Line segment \(AD\) has length \(6.\)
(2) \(x = 36\)

Answer: A

Source: Official Guide

by Vincen

Sat Nov 27, 2021 4:48 am
Forum: Data Sufficiency
Topic: In triangle \(ABC\) above, what is the length of side \(BC?\)
Replies: 1
Views: 49

Let \(S\) be the set of permutations of the sequence \(2, 3, 4, 5, 6\) for which the first term is not \(2.\) A permutat

Let \(S\) be the set of permutations of the sequence \(2, 3, 4, 5, 6\) for which the first term is not \(2.\) A permutation is chosen randomly from \(S.\) The probability that the second term is \(5\) is given by \(\dfrac{a}{b}\) (in lowest terms). What is \(a+b?\) (A) 5 (B) 6 (C) 11 (D) 16 (E) 19 A...


If \(a\) and \(b\) are positive numbers, what are the coordinates of the midpoint of line segment \(CD\) in the \(xy\)-p

If \(a\) and \(b\) are positive numbers, what are the coordinates of the midpoint of line segment \(CD\) in the \(xy\)-plane?

(1) The coordinates of \(C\) are \((a, 1-b)\)
(2) The coordinates of \(D\) are \((1-a, b)\)

Answer: C

Source: GMAT Prep


How many factors of the number \(2^4 \cdot 3\cdot 5^2\) are even?

How many factors of the number \(2^4 \cdot 3\cdot 5^2\) are even?

A) 10
B) 12
C) 16
D) 18
E) 24

Answer: E

Source: e-GMAT


A number of people shared a meal, intending to divide the cost evenly among themselves. However, several of the diners

A number of people shared a meal, intending to divide the cost evenly among themselves. However, several of the diners left without paying. When the cost was divided evenly among the remaining diners, each remaining person paid \(\$12\) more than he or she would have if all diners had contributed eq...