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In an isosceles triangle \(ABC,\) if \(\angle C = 40\) degrees, and \(AB^2+AC^2<BC^2,\) then what is the difference betw

In an isosceles triangle \(ABC,\) if \(\angle C = 40\) degrees, and \(AB^2+AC^2<BC^2,\) then what is the difference between the largest and the smallest angles of the triangle?

A. 30
B. 40
C. 60
D. 70
E. 100

Answer: C

Source: e-GMAT


A number is to be written in each of the small squares in the figure above so that the sum of the numbers in any row is

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A number is to be written in each of the small squares in the figure above so that the sum of the numbers in any row is the same as the sum of the numbers in any column: What number does \(x\) represent?

(1) \(z\) represents \(5.\)
(2) \(y\) represents \(8.\)

Answer: A

Source: GMAT Prep


In a certain task, a person has to fill an empty tank using four taps, each of which can fill the entire empty tank in

In a certain task, a person has to fill an empty tank using four taps, each of which can fill the entire empty tank in 1 hour, and once the tank is filled completely, he needs to empty the tank using two outlets, at the bottom of the tank. Both the outlets can empty the full tank at the same time. H...


What is the area of the right triangle \(ABC?\)

What is the area of the right triangle \(ABC?\)

(1) Side \(AB\) measures \(5\) meters and Side \(BC\) measures \(13\) meters.

(2) Angle \(ABC\) measures \(90\) degrees.

Answer: C

Source: Veritas Prep

by VJesus12

Fri Feb 11, 2022 3:25 am
Forum: Data Sufficiency
Topic: What is the area of the right triangle \(ABC?\)
Replies: 0
Views: 152

If John has exactly 10 coins each of which was minted in 1910, 1920, or 1930, how many of his coins were minted in 1920?

If John has exactly 10 coins each of which was minted in 1910, 1920, or 1930, how many of his coins were minted in 1920?

(1) Exactly 6 of his coins were minted in 1910 or 1920.
(2) Exactly 7 of his coins were minted in 1920 or 1930.

Answer: C

Source: GMAT Prep


Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that

Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling un...


Frequencies greater than or equal to 22 kHz are inaudible to the human ear. Is frequency F audible to the human ear?

Frequencies greater than or equal to 22 kHz are inaudible to the human ear. Is frequency F audible to the human ear?

(1) Frequency G is 16 kHz.
(2) Frequency F is three kHz higher than Frequency G.

Answer: E

Source: Veritas Prep


A sequence of numbers \(a_1, a_2, a_3,\ldots\) is defined as follows: \(a_1=3, a_2=5,\) and every term in the sequence

A sequence of numbers \(a_1, a_2, a_3,\ldots\) is defined as follows: \(a_1=3, a_2=5,\) and every term in the sequence after \(a_2\) is the product of all terms in the sequence preceding it, e.g, \(a_3=(a_1)(a_2)\) and \(a_4=(a1)(a2)(a3).\) If \(a_n=t\) and \(n>2,\) what is the value of \(a_{n+2}\) ...


At the 2016 convention for Aim Far Motivational Society (AFMS), each AFMS member had the option of inviting just one non

At the 2016 convention for Aim Far Motivational Society (AFMS), each AFMS member had the option of inviting just one non-member guest. Attending as the single guest of a member is the only way a non-member would be able to attend the convention. At the 2016 convention, of the AFMS Convention Hall’s ...


Employee \(X\)'s annual salary is \(\$12,000\) more than half of Employee \(Y\)'s annual salary. Employee \(Z\)'s annual

Employee \(X\)'s annual salary is \(\$12,000\) more than half of Employee \(Y\)'s annual salary. Employee \(Z\)'s annual salary is \(\$15,000\) more than half of Employee \(X\)'s annual salary. If Employee \(X\)'s annual salary is \(\$27,500,\) which of the following lists these three people in orde...


Let \(abc\) denote the digits of a three-digit number. Is this number divisible by \(7?\)

Let \(abc\) denote the digits of a three-digit number. Is this number divisible by \(7?\)

(1) The two-digit number \(bc\) is divisible by \(7.\)

(2) \(a + b + c = S,\) and \(S\) is divisible by \(7.\)

Answer: E

Source: Magoosh


What is the remainder when \(2^{83}\) is divided by \(9?\)

What is the remainder when \(2^{83}\) is divided by \(9?\)

(A) -4
(B) 0
(C) 4
(D) 5
(E) 8

Answer: D

Source: Veritas Prep

by VJesus12

Fri Jan 28, 2022 5:29 am
Forum: Problem Solving
Topic: What is the remainder when \(2^{83}\) is divided by \(9?\)
Replies: 0
Views: 123

If \(S\) is a set of distinct positive multiples of \(5,\) what is the smallest element of \(S?\)

If \(S\) is a set of distinct positive multiples of \(5,\) what is the smallest element of \(S?\)

(1) The mean of \(S\) and the median of \(S\) both equal \(20.\)
(2) The largest element of \(S\) is \(40.\)

Answer: C

Source: Princeton Review


What is the value of \(k?\)

What is the value of \(k?\)

(1) \(2^k = \dfrac18\)
(2) \(4^{k + 3} = 1\)

Answer: D

Source: GMAT Prep

by VJesus12

Fri Jan 28, 2022 5:17 am
Forum: Data Sufficiency
Topic: What is the value of \(k?\)
Replies: 0
Views: 120