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

All

Start Practice

505-555 (Easy)

2018.OG.05.055.q.png [ 56.01 KiB | Viewed 60823 times ] According to the table shown, the estimated number of home-schooled students in State A is approximately what percent greater than the number in State D?

605-655 (Medium)

\frac{x}{y} = \frac{c}{d}

and

\frac{d}{c} = \frac{b}{a}

, which of the following must be true? I.

\frac{y}{x} = \frac{b}{a}

II.

\frac{x}{a} = \frac{y}{b}

III.

\frac{y}{a} = \frac{x}{b}

Sub 505 (Easy)

m ⊕ p = n ⊕ r = m n ⊕ q = q p ⊕ q = p q ⊕ p = r If the relations shown hold for the operation ⊕ and the numbers m, n, p, q, and r, then [ (m ⊕ p) ⊕ q ] ⊕ p =

605-655 (Medium)

[x]

denotes the least integer greater than or equal to

x

and

[\frac{x}{2}] = 0

, which of the following could be the value of

x

555-605 (Medium)

The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C = 100,000p/(100 - p). According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 80 percent of the pollutant?

605-655 (Medium)

a (a + 2) = 24

and

b (b + 2) = 24

, where

a \neq = b

, then

a + b =

555-605 (Medium)

The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.6. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?

605-655 (Medium)

In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If

N

is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?

Sub 505 (Easy)

If x(2x + 1) = 0 and (x + 1/2)(2x - 3) = 0, then x =

605-655 (Medium)

The profit

P

, in dollars, for any given month at a certain company is defined by

P = I - C

, where

I

represents total income and

C

represents total costs for the month. For each of the first 4 months,

C = I + 32, 000

; for each of the next 3 months,

I = C + 36, 000

; and for each of the 5 remaining months,

I = C + 10, 000

. What was the company’s total profit for the 12-month year?

Sub 505 (Easy)

In a set of 24 cards, each card is numbered with a different positive integer from 1 to 24. One card will be drawn at random from the set. What is the probability that the card drawn will have either a number that is divisible by both 2 and 3 or a number that is divisible by 7 ?

605-655 (Medium)

A manufacturer makes and sells 2 products, P and Q. Revenue per unit of P is

$20.00

and revenue per unit of Q is

$17.00

. Last year the manufacturer sold twice as many units of Q as P. What was the average revenue per unit sold?

Sub 505 (Easy)

The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushel of apples, what fraction of the harvest yield was from these x trees?

605-655 (Medium)

A worker carries 4 jugs per trip. If the jugs are packed into cartons that hold 7 jugs each, how many jugs are needed to fill the last partially filled carton after the worker has made 17 trips?

Sub 505 (Easy)

If 0 < a < b < c, which of the following statements must be true?

605-655 (Medium)

Last year a state senate consisting only of Republican and Democrat members had 20 more Republican members than Democrat members. This year it has the same total membership but 2 fewer Republican members. If this year the number of Republican members is

\frac{2}{3}

the number of senate members, how many members does the senate have this year?

505-555 (Easy)

Company Q plans to make a new product next year and sell each unit of this new product at a selling price of

2. T h e v a r iab l ecos t s p er u ni t in e a c h p r o d u c t i o n r u na r ees t ima t e d t o b e 40

5,040. Based on these estimated costs, how many units of the new product will Company Q need to make and sell in order for their revenue to equal their total costs for each production run?

605-655 (Medium)

Sam has

$800

in his account. He deposits

$1

one week from now,

$2

two weeks from now, and each week thereafter

$1

more than the previous week. With no other transactions, how much will he have 50 weeks from now?

Sub 505 (Easy)

The function f is defined by f (x) = √ x – 10 f (x) = x √ – 10 for all positive numbers x. If u = f(t) for some positive numbers t and u, what is t in terms of u?

605-655 (Medium)

A certain state’s milk production was 980 million pounds in 2007 and 2.7 billion pounds in 2014. Approximately how many more million gallons did it produce in 2014? (

1

billion

= 1 0^{9}

and 1 gallon = 8.6 pounds.)

← PreviousPage 12 of 68Next →