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)

Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?

505-555 (Easy)

Kim purchased n items from a catalog for

8 e a c h . P os t a g e an d han d l in g c ha r g esco n s i s t e d o f

3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?

505-555 (Easy)

Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles due south, 2 miles due west and 11 miles due north, finally stopping at town T. if the entire region is flat. What is the straight line distance in miles between Town S and T?

505-555 (Easy)

If x + y x y = 1 , then y =

Sub 505 (Easy)

If $1 were invested at 8 percent interest compounded annually, the total value of the investment, in dollars, at the end of 6 years would be

Sub 505 (Easy)

Elena purchased Brand X pens for

4.00 a p i ece an d b r an d Y f or

2.80 apiece. If Elena purchased a total of 12 of these pens for $42.00, how many brand X pens did she purchase?

505-555 (Easy)

Coins are to be put into 7 pockets so that each pocket contains at least one coin. At most 3 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?

Sub 505 (Easy)

If the cost of 12 eggs varies between

0.90 an d

1.20, and the cost of 5 sandwiches varies between

10 an d

15, then the cost of 4 eggs and 3 sandwiches varies between

Sub 505 (Easy)

In 1985, 45 percent of a document storage facility's 60 customers were banks, and in 1987, 25 percent of its 144 customers were banks. What was the percent increase from 1985 to 1987 in the number of bank customers the facility had?

505-555 (Easy)

How many multiples of 4 are there between 12 and 96, inclusive?

505-555 (Easy)

In the rectangular coordinate system above, the shaded region is bounded by straight lines. Which of the following is NOT an equation of one of the boundary line s?

555-605 (Medium)

Salesperson A's compensation for any week is

360 pl u s 6 p er ce n t o f t h e p or t i o n o f A^{'} s t o t a l s a l es ab o v e

1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

Sub 505 (Easy)

In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 75 bricks in the wall, how many bricks does the bottom row contain ?

Sub 505 (Easy)

During the first week of September, a shoe retailer sold 10 pairs of a certain style of oxfords at

35 a p ai r . I f, d u r in g t h eseco n d w ee k o f S e pt e mb er, 15 p ai r s w er eso l d a tt h es a l e p r i ceo f

27.50 a pair, by what amount did the revenue from weekly sales of these oxfords increase during the second week?

505-555 (Easy)

During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?

505-555 (Easy)

gmat.gif [ 6.54 KiB | Viewed 20649 times ] The table above shows the results of a recent school board election in which the candidate with the higher total number of votes from the five districts was declared the winner. Which district had the greatest number of votes for the winner?

Sub 505 (Easy)

The cost of picture frame M is

10.00 l ess t han 3 t im es t h ecos t o f p i c t u r e f r am e N . I f t h ecos t o f f r am e M i s

50.00, what is the cost of frame N ?

Sub 505 (Easy)

Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?

Sub 505 (Easy)

Marion rented a car for

18.00 pl u s

0.10 per mile driven. Craig rented a car for

25.00 pl u s

0.05 per mile driven. If each drove d miles and each was charged exactly the same amount for the rental, then d equals

555-605 (Medium)

Which of the following equations has a root in common with x 2 − 6 x + 5 = 0 ?

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