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Test: Numbers - GMAT MCQ


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30 Questions MCQ Test - Test: Numbers

Test: Numbers for GMAT 2024 is part of GMAT preparation. The Test: Numbers questions and answers have been prepared according to the GMAT exam syllabus.The Test: Numbers MCQs are made for GMAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Numbers below.
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Test: Numbers - Question 1

If x is an integer, which of the following must be an odd integer? 

Test: Numbers - Question 2

If xy ≠ 0, is x/y = 1?

(1) x2 = y2

(2) xy > 0

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Test: Numbers - Question 3

The value of (9×107)(9×108) is closest to which of the following? 

Test: Numbers - Question 4

The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96. What is the units digit of m?

1)  m is odd. ?
2)  The hundreds digit of m is 8. ?

Test: Numbers - Question 5

If m, p, and t are positive integers and m < p < t, is the product mpt an even integer?

1) t – p = p - m
2) t – m = 16 

Test: Numbers - Question 6

If x and y are positive integers, and x3y4 = 2,000, which of the following is the value of xy? 

Test: Numbers - Question 7

If ab = 1, what is the value of (axb)(ayb)?

1) ax = by = 2
2) 2xy = 4

Test: Numbers - Question 8

If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?

(1)  x is a multiple of 9. ?

(2)  y is a multiple of 25. ?

Test: Numbers - Question 9

The sum of all the integers k such that –26 < k < 24 is 

Test: Numbers - Question 10

If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?

1) c > b
2) a > d

Test: Numbers - Question 11

If k, m, and p are integers, is k m p odd?

1) k and m are even and p is odd.?
2) k, m, and p are consecutive integers.

Test: Numbers - Question 12

Is x2 + y2 > 6?

1) (y)2  >  6
2) xy = 2

Test: Numbers - Question 13

The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?

I. The units digit of x + y is greater than the units digit of either x or y.
II. The tens digit of x + y equals 2.
III. The hundreds digit of y is at least 5. 

Test: Numbers - Question 14

If n is an integer and 100 < n < 200, what is the value of n?

1) n/36 is an odd integer.
2) n/45 is an even integer.

Test: Numbers - Question 15

If x and y are positive integers and 1 + x + y + xy = 15, what is the value of x + y

Test: Numbers - Question 16

If x and y are positive integers and 1 + x + y +xy = 21, what is the value of x?

1) y > 3
2) y = 6

Test: Numbers - Question 17

What is the sum of a certain pair of consecutive odd integers?

1) At least one of the integers is negative.
2) At least one of the integers is positive.

Test: Numbers - Question 18

If x and y are integers, is x + y greater than 0?

1) x is greater than 0.
2) y is less than 1.

Test: Numbers - Question 19

If x and y are consecutive even numbers, what is the sum of x and y?

1) x is negative.
2) y is non-positive.

Test: Numbers - Question 20

If a and b are positive integers such that a b and a/b are both even integers, which of the following must be an odd integer?

Test: Numbers - Question 21

Is atleast one of x and z odd?

1) x + z = odd
2) x – z = odd

Test: Numbers - Question 22

If x and z are integers, is atleast one of x and z odd?

1) x + z = odd
2) x – z = odd

Test: Numbers - Question 23

What is the greatest common factor of the positive integers j and k?

(1) k = j + 1?

(2) jk is divisible by 5. 

Test: Numbers - Question 24

If x and y are positive integers and y = √(9 −?x), what is the value of y?

1) x < 8
2) y > 1 

Test: Numbers - Question 25

If x and y are integers and y = √(9 −?x), what is the value of y?

1) x < 11
2) y > 0 

Test: Numbers - Question 26

In the decimal representation of x, where 0 < x < 1, is the tenths digit of x nonzero?

1)  16x is an integer. ?
2)  8x is an integer. ?

Test: Numbers - Question 27

If x and z are integers, is at least one of them even?

1) x + z is even.
2) x – z is even.

Test: Numbers - Question 28

What is the remainder when the two-digit, positive integer x is divided by 3?

1) The sum of the digits of x is 5.?
2) The remainder when x is divided by 9 is 5.

Detailed Solution for Test: Numbers - Question 28

Statement 1: The sum of the digits of x is 5.

Divisibility rule of 3:

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

However, if the sum of the digits of a number is NOT divisible by 3, then the remainder is the same when the number is divided by 3.

Thus, the remainder when the two-digit, positive integer x is divided by 3 = Remainder when 5 is divided by 3 = 2. Sufficient.

Statement 2: The remainder when x is divided by 9 is 5.

The rule for divisibility of 9 is same as that for 3.

The remainder when the two-digit, positive integer x is divided by 3 = Remainder when 5 is divided by 3 = 2. Sufficient.

Alternatively,

Say X = 9q + 5, where q is quotient

Thus, X/3 = (9/3)*q + 5/3

X/3 = 3q + 1 + 2/3

=> Remainder = 2. Sufficient.

Test: Numbers - Question 29

What is the remainder when the two-digit, positive integer x is divided by 9?

1) The sum of the digits of x is 5.?
2) The remainder when x is divided by 3 is 2.

Test: Numbers - Question 30

A school administrator will assign each student in a group of n students to one of m classrooms. If 3 < m < 13 < n, is it possible to assign each of the n students to one of the m classrooms so that each classroom has the same number of students assigned to it?

1)  It is possible to assign each of 3n students to one of m classrooms so that each classroom has the same number of students assigned to it. ?
2)  It is possible to assign each of 13n students to one of m classrooms so that each classroom has the same number of students assigned to it. ?

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