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GRE Free Mock test for Students
Solve the equations: 2x + 3y = 13 and 3x + 2y = 12. What is the solution pair (x, y)?
(a) (2, 5)
(b) (3, 2)
(c) (1, 5)
(d) (2, 3)
(e) None of these
Option d – (2, 3)
Solve the equations: 2x – 3y = 7 and x – y = 32. What is the solution pair (x, y)?
(a) (3, 1)
(b) (5, 2)
(c) (7, 5)
(d) None
(e) None of these
Option d – None
Solve the equations: 3x – y = 4 and 5x + y = 4. What is the solution pair (x, y)?
(a) (1, 1)
(b) (-1, 1)
(c) (1, -1)
(d) (2, 1)
(e) None of these
Option c – (1, -1)
Solve the equations: 2x + 3y = 5 and 4x + 6y = 10. What is the solution?
(a) (1, 2)
(b) (3, 4)
(c) (5, 7)
(d) No solution
(e) None of these
Option d – No solution
Solve the equations: 4x + 6y = 10 and 6x + 9y = 15. What is the solution?
(a) (3, 5)
(b) (2, 7)
(c) (5, 8)
(d) Infinite solutions
(e) None of these
Option d – Infinite solutions
Ram’s current age is three times his son’s age. Five years ago, he was four times his son’s age. What is Ram’s present age?
(a) 60
(b) 55
(c) 48
(d) 45
(e) None of these
Option d – 45
The sum of the ages of a father and son is 100 years. One-tenth of the product of the son’s age in years exceeds the father’s age by 180. What are their ages?
(a) 60, 40
(b) 25, 75
(c) 70, 30
(d) 80, 20
(e) None of these
Option a – 60, 40
Five years from now, a father’s age will be three times that of his son. Five years ago, the father’s age was seven times the son’s age. What is the son’s present age?
(a) 10
(b) 15
(c) 18
(d) 24
(e) None of these
Option a – 10
Ten years from now, A will be twice the age B was ten years ago. If A is now 9 years older than B, find A’s current age.
(a) 30
(b) 45
(c) 39
(d) 48
(e) None of these
Option d – 48
Solve the equations: x + y = 3 and x – y = 1. What is the solution pair (x, y)?
(a) (1, 2)
(b) (2, 1)
(c) (3, 1)
(d) (1, 3)
(e) None of these
Option b – (2, 1)
Ten years from now, A will be twice the age B was ten years ago. If A is now 9 years older than B, find A’s current age.
(a) 18
(b) 25
(c) 36
(d) 48
(e) None of these
Option d – 48
Find the number which is five times the amount by which it falls short of 96.
(a) 80
(b) 90
(c) 64
(d) 75
(e) None of these
Option a – 80
Which number is 20 more than 35 less than its difference from 67?
(a) 52
(b) 57
(c) 45
(d) 55
(e) None of these
Option b – 57
A number, when multiplied by 8, exceeds 117 by the same amount that it falls short of 117. What is the number?
(a) 39
(b) 43
(c) 26
(d) 37
(e) None of these
Option c – 26
Four consecutive odd numbers have a sum of 56. Find the smallest number.
(a) 9
(b) 11
(c) 13
(d) 15
(e) None of these
Option b – 11
Find the fraction which becomes 1/2 when both numerator and denominator are decreased by 1, but becomes 2/3 when both are increased by 2.
(a) 3/5
(b) 4/9
(c) 5/9
(d) 4/7
(e) None of these
Option d – 4/7
A is 7 years older than B. Fifteen years ago, B’s age was three-fourths of A’s age. Find A’s current age.
(a) 45
(b) 43
(c) 40
(d) 36
(e) None of these
Option b – 43
If A gives B $4, then B will have twice as much as A. If B gives A $15, then A will have 10 times as much as B. How much Money does B currently have?
(a) 12
(b) 15
(c) 16
(d) 18
(e) None of these
Option d – 18
The sum of two numbers is 21, and 10 times the first number is 1 more than 9 times the second number. What is the smaller number?
(a) 10
(b) 5
(c) 9
(d) 8
(e) None of these
Option a – 10
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