# Free GMAT Practice Problems with Solutions Sample 1

A set of 10 questions similar to the GMAT problem solving, with detailed solutions are presented.

## Question 1

ABC is a triangle whose sides AB and BC have length of 3 and 5 respectively. Which of the following could be the length of side AC?
(I) 8
(II) 12
(III) 0.5
A) (I) only
B) (II) only
C) (III) only
D) (I) and (II) only
E) None

## Question 2

Given the following
If √ x = 3, then x
4 =
A) 6561
B) 9
C) 81
D) 729
E) 3

## Question 3

If n is an odd integer, then which of the following is even?
(I) n
2
(II) n
2 + 1
(III) 3n
2 - 1
A) (I) only
B) (II) only
C) (III) only
D) (I) and (II) only
E) (II) and (III) only

## Question 4

8�2100 + 4�2101 =
A) 2
101
B) 2
102
C) 2
103
D) 2
104
E) 2
105

## Question 5

If 3x + 5y = 5 and x + 3y = 20, then 2x + 4y =
A) 25
B) 25 / 2
C) 25 / 4
D) 15
E) 15 / 2

## Question 6

If n is positive and less than 1, then which of the following is true?
(I) n
2 - n < 0
(II) n
3 < n
(III) n + 1 < 1
A) (I) only
B) (II) only
C) (III) only
D) (I) and (II) only
E) (II) and (III) only

## Question 7

Which of the following has the greatest value?
A) 250%
B) 2 + 1/2
C) 5 � 0.5
D) 1 / 0.1
E) 4

## Question 8

(4x2 - 4) / (- 3x + 3) =
A) (- 4/3)(x + 1)
B) x + 1
C) (4/3)(x + 1)
D) 4 (x - 1)
E) (4/3)(x + 1)

## Question 9

For what values of b and c will the equation x2 + bx = c have the solutions 2 and -3?
A) b = 2 , c = -3
B) b = 1 , c = 3
C) b = 1 , c = - 6
D) b = 1 , c = 6
E) b = 2 , c = 6

## Question 10

(√12 - √3)(-√12 + √3)
A) 9
B) - 9
C) 15
D) - 15
E) 18

## More References and Links to Maths Practice Tests

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