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)

Of the following, which is closest to 0.15 * 495 9.97 ?

555-605 (Medium)

Over the last three years a scientist had an average (arithmetic mean) yearly income of $45,000. The scientist earned 1 1 2 times as much the second year as the first year and 2 1 2 times as much the third year as the first year. What was the scientist's income the second year?

505-555 (Easy)

A grocer purchased a quantity of bananas at 3 pounds for

0.50 an d so l d t h ee n t i r e q u an t i t y a t 4 p o u n d s f or

1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $10.00?

505-555 (Easy)

If taxi fares were

1.00 f or t h e f i r s t 1/5 mi l e an d

0.20 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was?

505-555 (Easy)

If r ☉ s = r s + r + s , then for what value of s is r ☉ s equal to r for all values of r ?

Sub 505 (Easy)

If x and y are integers and x y = 5 , then (x + y) 2 =

Sub 505 (Easy)

A man drove his automobile d 1 kilometers at the rate of r 1 kilometers per hour and an additional d 2 kilometers at the rate of r 2 kilometers per hour. In terms of d 1 , d 2 , r 1 , and r 2 , what was his average speed, in kilometers per hour, for the entire trip?

555-605 (Medium)

The price of a model M camera is

209 an d t h e p r i ceo f a s p ec ia l l e n s i s

69. When the camera and lens are purchased together, the price is $239. The amount saved by purchasing the camera and lens together is approximately what percent of the total price of the camera and lens when purchased separately?

555-605 (Medium)

A student responded to all of the 22 questions on a test and received a score of 63.5. If the scores were derived by adding 3.5 points for each correct answer and deducting 1 point for each incorrect answer, how many questions did the student answer incorrectly?

505-555 (Easy)

If x < 0 , which of the following is NOT necessarily true?

Sub 505 (Easy)

1 2 (3 4 2 3) 2 9 =

505-555 (Easy)

At a certain bowling alley, it costs

0.50 t or e n t b o w l in g s h oes f or t h e d a y an d

1.25 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?

Sub 505 (Easy)

6.09 - 4.693 =

505-555 (Easy)

Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 60 percent of the total number of employees work in research, how many male employees do NOT work in research?

505-555 (Easy)

1 - [2 - (3 - [4 - 5] + 6) + 7]

605-655 (Medium)

The table above shows the number of tickets sold during each of the first 4 weeks after a movie was released. The producer of the movie received 10 percent of the revenue from every ticket sold with a guaranteed minimum of

200, 000 e a c h w ee k f or t h e f i r s t 4 w ee k s . I f t i c k e t sso l df or

4 each, how much did the producer receive for the first 4 weeks?

Sub 505 (Easy)

For a positive integer n, the number n! is defined to be n(n - 1)(n - 2) ... (1). For example, 4! = 4(3)(2)(1). What is the value of 5! - 3!?

Sub 505 (Easy)

5 4 (42 ÷ 3 16) =

Sub 505 (Easy)

If the revenue from the sale of apples was equal to the revenue from the sale of miscellaneous items, what percent of the revenue from the sale of fruit and vegetables was accounted for by apples?

555-605 (Medium)

The table above shows present rates and proposed rates for electricity for residential customers. For which of the monthly kilowatt-hours shown would the proposed rate be the greatest percent increase over the present rate?

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