Arithmetic

Arithmetic looks like the easy part of GMAT Quant, which is exactly why it is dangerous: the test writers hide difficulty in fractions, percents, ratios, and remainders rather than in advanced math. These Problem Solving questions drill the number sense the rest of Quant is built on — decimal and fraction manipulation, percent change, ratio splits, and divisibility. If your accuracy here is below 90%, fix that before touching harder topics; arithmetic errors are the most common source of lost points on questions you knew how to solve.

Divisibility, remainders, factors, multiples.·Show:20 30 50

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Sub 505 (Easy)

6.09 - 4.693 =

505-555 (Easy)

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

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 P = S 1 + n r and P , S , n , and r are positive numbers, then in terms of P , S and r what does n equal?

Sub 505 (Easy)

Which of the following is equal to 3/8 of 1.28?

505-555 (Easy)

Of the following, which is the closest to

\frac{60.2}{1.03 \times 4.86}

505-555 (Easy)

Which of the following is closest to the value of

\frac{999}{100 + \frac{1}{999}}

505-555 (Easy)

The value of

\frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}}

is closest to which of the following?

505-555 (Easy)

A bicycle race on a mountain trail began at an elevation 850 meters above Town X. The race course consisted of 5 phases, with the following elevation changes: a descent of 280 meters, an ascent of 350 meters, a descent of 620 meters, an ascent of 100 meters, and a descent of 400 meters. At what elevation, in meters above or below Town X, did the race end?

505-555 (Easy)

A salesperson who had been driving at a speed of 100 kilometers per hour slowed down to a speed of 47 kilometers per hour. Approximately how many miles per hour was the speed reduced? (1 kilometer

\approx 0.625

mile)

505-555 (Easy)

Mark bought a set of 6 flowerpots of different sizes at a total cost of

$8.25

. Each pot cost

$0.25

more than the next one below it in size. What was the cost, in dollars, of the largest pot?

605-655 (Medium)

If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? (1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams)

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?

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.)

605-655 (Medium)

The symbol

Δ

denotes addition, subtraction, multiplication, or division. If

6Δ3 \leq 3

, which must be true? I.

2Δ2 = 0

II.

2Δ2 = 1

III.

4Δ2 = 2

605-655 (Medium)

The sum of all the integers

k

such that

- 26 < k < 24

605-655 (Medium)

In the correctly worked addition problem shown,

P

Q

R

, and

S

are digits. If

Q = 2 P

, which of the following could be the value of

S

605-655 (Medium)

In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?

655-705 (Hard)

The total cost for Company X to produce a batch of tools is

$10, 000

plus

$3

per tool. Each tool sells for

$8

. The gross profit earned from producing and selling these tools is the total income from sales minus the total production cost. If a batch of 20,000 tools is produced and sold, then Company X’s gross profit per tool is

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