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If \(x\) and \(y\) are integers and \(2 < x < y,\) does \(y = 16?\)

If \(x\) and \(y\) are integers and \(2 < x < y,\) does \(y = 16?\)

(1) The GCF of \(x\) and \(y\) is \(2.\)
(2) The LCM of \(x\) and \(y\) is \(48.\)

Answer: C

Source: Veritas Prep


A survey was conducted to find out the number of languages spoken by the 210 employees of a company. It was found that

A survey was conducted to find out the number of languages spoken by the 210 employees of a company. It was found that 60 employees did not speak English, 150 employees did not speak German and 170 employees did not speak French. If there were 20 employees who did not speak German or English and 20 ...


Is integer \(x<-20?\)

Is integer \(x<-20?\)

1) \(x^2+40x+391=0\)

2) \(x^2=529\)

Answer: C

Source: Veritas Prep

by Gmat_mission

Sun Dec 26, 2021 2:49 pm
Forum: Data Sufficiency
Topic: Is integer \(x<-20?\)
Replies: 0
Views: 110

In a decimal, a bar over a digit indicates that the digit repeats indefinitely. If \(a\) and \(b\) are integers,

In a decimal, a bar over a digit indicates that the digit repeats indefinitely. If \(a\) and \(b\) are integers, \(\dfrac{a}3-\dfrac{b}4=0.4\overline{16}\) and \(a+b=17,\) what is the value of \(a?\)

(A) 5
(B) 7
(C) 8
(D) 9
(E) 10

Answer: C

Source: Manhattan GMAT


If \(a, b,\) and \(c\) are integers, what is the value of \(a?\)

If \(a, b,\) and \(c\) are integers, what is the value of \(a?\)

(1) \((a - 7)(b - 7)(c - 7) = 0\)
(2) \(bc = 18\)

Answer: C

Source: GMAT Prep


The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an

The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students. What is the minimum number of students that could attend the school?

(A) 120
(B) 160
(C) 240
(D) 320
(E) 480

Answer: C

Source: Manhattan GMAT


If \(m\) is a positive odd integer, what is the average (arithmetic mean) of a certain set of \(m\) integers?

If \(m\) is a positive odd integer, what is the average (arithmetic mean) of a certain set of \(m\) integers?

(1) The integers in the set are consecutive multiples of \(3.\)
(2) The median of the set of integers is \(33.\)

Answer: C

Source: GMAT Prep


Triangle \(ABC\) is inscribed in a circle, such that \(AC\) is the diameter of the circle and angle \(BAC\) is

Triangle \(ABC\) is inscribed in a circle, such that \(AC\) is the diameter of the circle and angle \(BAC\) is \(45^{\circle}.\) If the area of triangle \(ABC\) is \(72\) square units, how much larger is the area of the circle than the area of triangle \(ABC?\) A. \(72\pi-72\) B. \(72\pi-36\) C. \(7...


Is \(x\%\) of \(x\%\) of \(y\) equal to \(x\%\) less than \(y?\)

Is \(x\%\) of \(x\%\) of \(y\) equal to \(x\%\) less than \(y?\)

(1) \(x(x + 100) = 10,000\)
(2) \(y(y + 1) = 1\)

Answer: A

Source: Manhattan GMAT


Pastries made out of filo dough and brushed with either olive oil or butter (but not both). Pastries made out of shortcr

Pastries made out of filo dough and brushed with either olive oil or butter (but not both). Pastries made out of shortcrust dough are not brushed with anything. Rashid and Mikhail submitted a total of \(x\) pastries to a baking competition. Mikhail used filo dough for all of his pastries, Rashid use...


Line \(\ell\) lies in the \(xy\)-plane and does not pass through the origin. What is the slope of line \(\ell?\)

Line \(\ell\) lies in the \(xy\)-plane and does not pass through the origin. What is the slope of line \(\ell?\) (1) The \(x\)-intercept of line \(\ell\) is twice the \(y\)-intercept of line \(\ell.\) (2) The \(x\)-and \(y\)-intercepts of line \(\ell\) are both positive. Answer: A Source: Official G...


On Sunday, Jayla's lawn was completely unmowed. On Monday, Jayla mowed \(\dfrac23\) of her lawn. On Tuesday, she moved

On Sunday, Jayla's lawn was completely unmowed. On Monday, Jayla mowed \(\dfrac23\) of her lawn. On Tuesday, she moved \(\dfrac15\) of the remaining unmowed section. If, after Tuesday, the unmowed area of Jayla's lawn is \(400\) square feet, what is the entire area of her lawn, in square feet? (A) 1...


What is the number of cans that can be packed in a certain carton? (1) The interior volume of this carton is 2,304 cubi

What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches.

Answer: E

Source: Official Guide


\(\sqrt{16\cdot 20+8\cdot 32}=\)

\(\sqrt{16\cdot 20+8\cdot 32}=\)

(A) \(4\sqrt{20}\)
(B) \(24\)
(C) \(25\)
(D) \(4\sqrt{20}+8\sqrt2\)
(E) \(32\)

Answer: B

Source: Official Guide

by Gmat_mission

Sun Dec 26, 2021 1:58 pm
Forum: Problem Solving
Topic: \(\sqrt{16\cdot 20+8\cdot 32}=\)
Replies: 0
Views: 71

Is the integer \(n\) odd?

Is the integer \(n\) odd?

(1) \(n\) is divisible by \(3.\)
(2) \(2n\) is divisible by twice as many positive integers as \(n.\)

Answer: B

Source: GMAT Prep

by Gmat_mission

Sun Dec 26, 2021 1:55 pm
Forum: Data Sufficiency
Topic: Is the integer \(n\) odd?
Replies: 0
Views: 71