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)

In a certain population, there are 3 times as many people aged twenty-one or under as there are people over twenty-one. The ratio of those twenty-one or under to the total population is

505-555 (Easy)

If x + y = a and x - y = b, then 2xy = ?

505-555 (Easy)

A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal

505-555 (Easy)

If the two digit integers M and N are positive and have the same digits, but in reverse order, which of the following cannot be the sum of M and N?

Sub 505 (Easy)

If p is an even integer and q is an odd integer, which of the following must be an odd integer?

Sub 505 (Easy)

If the sum of 5, 8, 12, and 15 is equal to the sum of 3, 4, x, and x + 3, what is the value of x ?

Sub 505 (Easy)

The table above shows the number of students in three clubs at McAuliffe School. Although no student is in all three clubs, 10 students are in both chess and drama, 5 students are in both chess and math, and 6 students are in both drama and math. How many different students are in the three clubs?

Sub 505 (Easy)

The table above shows the number of employees at each of four salary levels at Company X. What is the average (arithmetic mean) salary for the 20 employees?

Sub 505 (Easy)

Committee X has 4 members, committee Y has 5 members, and these committees have no members in common. If a task force is to be formed consisting of one member of X and one member of Y, how many different task forces are possible?

Sub 505 (Easy)

If | a c b d | = a d − b c for all numbers, a, b, c, and d, then | 3 − 2 5 4 | = a d − b c

Sub 505 (Easy)

7 1 5 + 5 1 7 =

Sub 505 (Easy)

A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of

38.00, an d o n T u es d a y t h es t or eso l d 20 ma p s an d 15 b oo k s f or a t o t a l o f

60.00. At this store, how much less does a map sell for than a book?

Sub 505 (Easy)

Kelly and Chris packed several boxes with books. If Chris packed 60 percent of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number of boxes Chris packed?

Sub 505 (Easy)

(7 √ + 7 √) 2 (7 + 7) 2

Sub 505 (Easy)

Which of the following is NOT equal to the square of an integer:

Sub 505 (Easy)

If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is

Sub 505 (Easy)

What is the combined area, in square inches, of the front and back of a rectangular sheet of paper measuring 8.5 inches by 11 inches?

Sub 505 (Easy)

Note: Figure not drawn to scale. In the figure above, the value of y is

505-555 (Easy)

In the figure above, if AB||CE, CE = DE, and y = 45, then x =

555-605 (Medium)

According to a car dealer's sales report, 1/3 of the cars sold during a certain period were sedans and 1/5 of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?

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