Problem Solving

Problem Solving is the backbone of the GMAT Quant section: a question stem, five answer choices, and a two-minute budget. The questions here span arithmetic, algebra, geometry, number properties, inequalities, and word problems — the same mix you will see on test day. Work them untimed while you rebuild fundamentals, then switch to the timer and practice committing to an answer under the clock. Every question includes a full written explanation, so review the ones you miss and log them in your error log: on Quant, most score improvement comes from eliminating repeat mistakes, not from seeing more new questions.

Official GMAT Problem Solving questions with difficulty ratings and topic tags.·Show:20 30 50

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Sub 505 (Easy)

The temperatures in degrees Celsius recorded at 6 in the morning in various parts of a certain country were 10, 5, -2, -1, -5, and 15. What is the median of these temperatures?

Sub 505 (Easy)

If 1 2 + 1 3 + 1 4 = 13 x , which of the following must be an integer? I. x 8 II. x 12 III. x 24

555-605 (Medium)

Which of the following ratios is most nearly equal to the ratio 1 + 5 √ 1 + 5 to 2?

Sub 505 (Easy)

The average (arithmetic mean) of 6,8, and 10 equals the average of 7,9 and

Sub 505 (Easy)

The average salary of 15 people in the shipping department at a certain firm is

20, 000. T h es a l a r y o f 5 o f t h ee m pl oy ees i s

25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?

Sub 505 (Easy)

(2 √ + 1) (2 √ − 1) (3 √ + 1) (3 √ − 1) = (2 + 1) (2 − 1) (3 + 1) (3 − 1) =

555-605 (Medium)

If the sum of n consecutive integers is 0, which of the following must be true? I. n is an even number II. n is an odd number III. The average (arithmetic mean) of the n integers is 0

555-605 (Medium)

In a nationwide poll, N people were interviewed. If 1/4 of them answered "yes" to question 1, and of those, 1/3 answered "yes" to question 2, which of the following expressions represents the number of people interviewed who did NOT answer "yes" to both questions?

Sub 505 (Easy)

If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?

505-555 (Easy)

In the formula V = 1/(2r)^3, if r is halved, then V is multiplied by

Sub 505 (Easy)

If 4x + 3y = -2 and 3x + 6 = 0, what is the value of y?

Sub 505 (Easy)

A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 10 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?

555-605 (Medium)

Which of the following is the product of two integers whose sum is 11?

555-605 (Medium)

From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 15 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?

555-605 (Medium)

If x and y are different prime numbers, each greater than 2, which of the following must be true? I. x + y ≠ 91 II. x - y is an even integer III. x/y is not an integer

505-555 (Easy)

3.003/2.002 =

555-605 (Medium)

Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/3, what percent of the total number of the remaining employees would then be clerical?

555-605 (Medium)

A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?

Sub 505 (Easy)

A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of

90 p er u ni t an d a l l o f t h e p r o d u ce d u ni t s a r eso l d e a c hm o n t h . W ha t i s t h e minim u m se l l in g p r i ce p er u ni tt ha tw i l l e n s u r e t ha tt h e m o n t h l y p r o f i t (r e v e n u e f r o m s a l es min u s t h e man u f a c t u r e r^{'} scos tt o p r o d u ce) o n t h es a l eso f t h ese u ni t s w i l l b e a tl e a s t

42,000?

Sub 505 (Easy)

If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =

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