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Best GRE Mock exam for Students
A man passed away leaving INR 175 lakhs to be shared between his two daughters and four sons. Each daughter is to receive thrice the amount received by each son. Determine the share of each son.
(a) 180
(b) 160
(c) 140
(d) 175
(e) None of these
Option d – 175
In an election with three candidates, the winner received twice the number of votes as the last-place candidate and 712 more votes than the second-place candidate. Out of a total of 7,968 votes, find the number of votes the winner secured.
(a) 2072
(b) 2472
(c) 3472
(d) 2872
(e) None of these
Option c – 3472
The combined cost of 6 books and 4 pencils is Rs. 34, while the cost of 5 books and 5 pencils is Rs. 30. Find the cost of one book and one pencil respectively.
(a) 1, 5
(b) 5, 1
(c) 6, 1
(d) 1, 6
(e) None of these
Option b – 5, 1
The sum of two numbers is 80. If the larger number is 5 more than four times the smaller number, find the smaller number.
(a) 5
(b) 15
(c) 20
(d) 25
(e) None of these
Option b – 15
The difference between two numbers is 5, and the difference between their squares is 85. Find the larger number.
(a) 9
(b) 14
(c) 11
(d) 12
(e) None of these
Option c – 11
Three times the larger of two numbers, when divided by the smaller, gives both a quotient and a remainder of 6. Five times the smaller, when divided by the larger, gives a quotient of 2 and a remainder of 3. Find the smaller number.
(a) 6
(b) 7
(c) 8
(d) 9
(e) None of these
Option b – 7
A two-digit number has a digit sum of 10. If 18 is subtracted from it, the digits swap positions. Find the number.
(a) 64
(b) 46
(c) 55
(d) 73
(e) None of these
Option a – 64
A two-digit number has a digit sum of 9. Reversing its digits makes the number 27 greater than the original. Find the number.
(a) 36
(b) 45
(c) 54
(d) 27
(e) None of these
Option a – 36
A and B each have some Money. If A gives Rs. 30 to B, B will have twice what remains with A. If B gives Rs. 10 to A, A will have twice what remains with B. Find the amounts A and B initially had.
(a) 44, 72
(b) 62, 34
(c) 72, 54
(d) 34, 62
(e) None of these
Option b – 62, 34
A boy’s present age is ‘a’ years, while his father’s age is ‘5a’ years. Find the father’s age when the boy will be ‘3a’ years old.
(a) 7a
(b) 9a
(c) 4a
(d) 8a
(e) None of these
Option a – 7a
A battalion of soldiers, when arranged in a Solid square, has 16 fewer men in the front row compared to when they are arranged in a hollow square four rows deep. Find the total number of soldiers.
(a) 900
(b) 525
(c) 576
(d) 676
(e) None of these
Option c – 576
Rahul divides Rs. 180 equally among a certain number of people. Manuj distributes the same total amount but gives Rs. 6 more to each person and has 40 fewer recipients than Rahul. How much does Rahul give to each person?
(a) 2
(b) 3
(c) 8
(d) 4
(e) None of these
Option b – 3
The area of a rectangle increases by 200 sq. m when its length is increased by 8 m and breadth by 3 m. If the length is increased by 3 m and the breadth by 8 m, the area increases by 255 sq. m. Find the perimeter of the rectangle.
(a) 40
(b) 48
(c) 74
(d) 42
(e) None of these
Option c – 74
A two-digit number, when divided by the sum of its digits, gives a quotient of 7. The sum of the reciprocals of its digits is 9 times the reciprocal of the number. Find the number.
(a) 72
(b) 84
(c) 36
(d) 45
(e) None of these
Option d – 45
Two numbers have a sum of 93 and a difference of 9. Find the numbers.
(a) (43, 50)
(b) (42, 51)
(c) (41, 52)
(d) (40, 53)
(e) None of these
Option b – (42, 51)
Increasing the numerator of a fraction by 4 increases its value by 2/3. Find the denominator of the fraction.
(a) 9
(b) 6
(c) 7
(d) Data inadequate
(e) None of these
Option d – Data inadequate
Adding 1 to each of two numbers changes their ratio to 1:2. Subtracting 5 from each changes the ratio to 5:11. Find the numbers.
(a) (31, 61)
(b) (33, 67)
(c) (35, 71)
(d) (59, 119)
(e) None of these
Option c – (35, 71)
Find two numbers such that one-fifth of the larger exceeds one-sixth of the smaller by 4, and half the larger plus one-quarter of the smaller equals 38.
(a) 55, 42
(b) 35, 40
(c) 36, 42
(d) 45, 55
(e) None of these
Option a – 55, 42
Two numbers are in the ratio 3:5. The difference of their squares is 16. Find the numbers.
(a) 6, 5
(b) 5, 6
(c) 3, 6
(d) 5, 3
(e) None of these
Option d – 5, 3
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