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)

If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 27. By how much do the two digits differ?

Sub 505 (Easy)

125% of 5 =

N and M are each 3-digit integers. Each of the numbers 1, 2, 3, 6, 7, and 8 is a digit of either N or M. What is the smallest possible positive difference between N and M?

705-805 (Hard)

0.99999999 1.0001 â 0.99999991 1.0003 =

Sub 505 (Easy)

(1 2 â 1 3) + (1 3 â 1 4) + (1 4 â 1 5) + (1 5 â 1 6) =

Sub 505 (Easy)

For all real numbers a, b, c, d, e, and f, the operation Î is defined by the equation (a , b , c) Î (d , e , f) = a d + b e + c f . What is the value of (1 , â 2 , 3) Î (1 , â 1 2 , 1 3) (1 , â 2 , 3) Î (1 , â 1 2 , 1 3) ?

555-605 (Medium)

In the correctly worked addition problem shown, P, Q, R, and S are digits. If Q = 2P, which of the following could be the value of S ?

505-555 (Easy)

If S = 1 + 1 2 + 1 3 2 + 1 4 2 + 1 5 2 + 1 6 2 + 1 7 2 + 1 8 2 + 1 9 2 + 1 10 2 , which of the following is true?

Sub 505 (Easy)

What is the value of â 17 + â 47 17 â â + 47 â â , to the nearest whole number?

Sub 505 (Easy)

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

655-705 (Hard)

From the consecutive integers -10 to 10 inclusive, 20 integers are randomly chosen with repetitions allowed. What is the least possible value of the product of the 20 integers?

555-605 (Medium)

The table above is a 3 by 3 grid of 9 numbers, 5 of which are given. The 4 numbers that are not given are denoted by A, B, C, and D. The product of the numbers in each row and in each column is the same for all rows and columns. What is the value of the product ABCD ?

505-555 (Easy)

The sum of all the integers k such that â26 < k < 24 is

555-605 (Medium)

The graph shows the number of computers assembled during each of 6 consecutive days. From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude ?

Sub 505 (Easy)

ÂA certain method for calculating pediatric drug dosages states that if d is the adult dosage, in milligrams, and y is the childâs age, in years, then the childâs dosage, in milligrams, is d Ã (y + 1 24) . If the adult dosage for a particular drug is 800 milligrams, what is an 8-year-old childâs dosage, in milligrams, according to this method?

Sub 505 (Easy)

Of the following, which is the closest to 60.2 1.03 * 4.86 ?

555-605 (Medium)

M is the sum of the reciprocals of the consecutive integers from 201 to 300, inclusive. Which of the following is true?

605-655 (Medium)

For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 301?

505-555 (Easy)

If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] + [3.4] + [2.7]?

605-655 (Medium)

Which of the following fractions is closest to 1 2 1 2 ?

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