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At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all

At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all the seating in the stadium is located in the lower deck, and if \(\dfrac23\) of all the seats in the stadium were sold, what fraction of the unsold seats in the stadium were in th...


How many hours would it take Pump \(A\) and Pump \(B\) working together, each at its own constant rate, to empty a tank

How many hours would it take Pump \(A\) and Pump \(B\) working together, each at its own constant rate, to empty a tank that was initially full? (1) Working alone at its constant rate, Pump \(A\) would empty the full tank in \(4\) hours \(20\) minutes. (2) Working alone, Pump \(B\) would empty the f...


At Daifu university, \(40\%\) of all students are members of both a chess club and a swim team. If \(20\%\) of members

At Daifu university, \(40\%\) of all students are members of both a chess club and a swim team. If \(20\%\) of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team? A) \(20\%\) B) \(30\%\) C) \(40\%\) D) \(50\%\) E) \(60\%\) A...


In a certain factory, hours worked by each employee in excess of \(40\) hours per week are overtime hours and are paid

In a certain factory, hours worked by each employee in excess of \(40\) hours per week are overtime hours and are paid for at \(1\frac12\) times the employee’s regular hourly pay rate. If an employee worked a total of \(42\) hours last week, how much was the employee’s gross pay for the hours worked...


Two dice are rolled. What is the probability the sum will be greater than \(10?\)

Two dice are rolled. What is the probability the sum will be greater than \(10?\)

A. \(\dfrac19.\)

B. \(\dfrac1{12}.\)

C. \(\dfrac5{36}.\)

D. \(\dfrac16.\)

E. \(\dfrac15.\)

Answer: B

Source: e-GMAT


When \(900\) is divided by positive integer \(d,\) the remainder is \(r.\) For some integer \(N > 5000,\) when \(N\) is

When \(900\) is divided by positive integer \(d,\) the remainder is \(r.\) For some integer \(N > 5000,\) when \(N\) is divided by positive integer \(D,\) the remainder is \(R.\) Is \(R > d?\)

(1) \(r = 1\)

(2) \(D = 23\)

Answer: C

Source: Magoosh


\(a\) is \(10\) less than \(x\) and \(b\) is \(3\) less than \(y.\) If the ratio of \(x\) to \(b\) is \(2\) to \(3,\)

\(a\) is \(10\) less than \(x\) and \(b\) is \(3\) less than \(y.\) If the ratio of \(x\) to \(b\) is \(2\) to \(3,\) and the ratio of \(x\) to \(y\) is \(7\) to \(12,\) then what is the ratio of \(a\) to \(y?\) A) \(-\dfrac16\) B) \(-\dfrac14\) C) \(\dfrac16\) D) \(\dfrac7{12}\) E) \(\dfrac73\) Ans...


If \(x\) and \(y\) are the lengths of the legs of a right triangle, what is the value of \(xy?\)

If \(x\) and \(y\) are the lengths of the legs of a right triangle, what is the value of \(xy?\)

(1) The hypotenuse of the triangle is \(10\sqrt2.\)
(2) The area of the triangular region is \(50.\)

Answer: B

Source: Official Guide


Two dogsled teams raced across a \(300\)-mile course in Wyoming. Team \(A\) finished the course in \(3\) fewer hours

Two dogsled teams raced across a \(300\)-mile course in Wyoming. Team \(A\) finished the course in \(3\) fewer hours than team \(B.\) If team \(A\)'s average speed was \(5\) mph greater than team \(B\)'s, what was team \(B\)'s average mph?

A. 12
B. 15
C. 18
D. 20
E. 25

Answer: D

Source: GMAT Prep


In each quarter of \(1998,\) Company \(M\) earned more money than in the previous quarter. What was the range of Company

In each quarter of \(1998,\) Company \(M\) earned more money than in the previous quarter. What was the range of Company \(M\)'s quarterly earnings in \(1998?\) (1) In the \(2nd\) and \(3rd\) quarters of \(1998,\) Company \(M\) earned \(\$4.0\) million and \(\$4.6\) million, respectively. (2) In the...


The ratio of the amount of Alex's fuel oil bill for the month of February to the amount of his fuel oil bill for the

The ratio of the amount of Alex's fuel oil bill for the month of February to the amount of his fuel oil bill for the month of January was \(\dfrac32.\) If the fuel oil bill for February had been \(\$40\) more, the corresponding ratio would have been \(\dfrac53.\) How much was Alex's fuel oil bill fo...


Is the last digit of integer \(x^2 - y^2\) a zero?

Is the last digit of integer \(x^2 - y^2\) a zero?

(1) \(x - y\) is an integer divisible by \(30.\)
(2) \(x + y\) is an integer divisible by \(70.\)

Answer: C

Source: GMAT Club Tests

by Vincen

Wed Jan 12, 2022 9:39 am
Forum: Data Sufficiency
Topic: Is the last digit of integer \(x^2 - y^2\) a zero?
Replies: 0
Views: 45

If \(\left(\dfrac23\right)^n=\left(\dfrac32\right)^2,\) what is the value of \(n?\)

If \(\left(\dfrac23\right)^n=\left(\dfrac32\right)^2,\) what is the value of \(n?\)

A. -2
B. -1
C. 0
D. 1
E. 2

Answer: A

Source: GMAT Prep


Set \(P\) consists of the first \(n\) positive multiples of \(3\) and set \(Q\) consists of the first \(m\) positive

Set \(P\) consists of the first \(n\) positive multiples of \(3\) and set \(Q\) consists of the first \(m\) positive multiples of \(5.\) The sum of all the numbers in set \(P\) is equal to \(R\) and the sum of all the numbers in set \(Q\) is equal to \(S.\) If \(m\) and \(n\) are positive integers, ...