Gradutate Record Exam

1. A vendor sells oranges for 0.15 and grapes for 0.35$ each. If he sells them together with 40 in a basket at 7.05$ without any profit, then how many oranges are in a basket?

2. There are two shelves 'S' and 'T' with books. If 3 books are taken from 'S' and put in 'T' then the number of books in each equals. If 7 books are taken from 'T' and put in 'S' then the number of books in 'S' is 3 times of that in 'T'. Find the total number of books in both the shelves?

3. If perimeter of a rectangle A is 20 & perimeter of rectangle B is 24, then
Col A: Area of the rectangle
Col B: Area of the rectangle

4. If f(x) = 1-x & y = f(x), then find f(y)?

5. Given X1, X2 & X3 can do a job together in 4 hrs. If X1, X2 can do the same job in 6hrs, then how long would it take for X3 to do the job alone?

6. The value of sqrt(3x^4)/sqrt(3x^2) is.............?

7. Two squares were given and the side values were given one is 9 and the other is 10, the square with the side 10 was truncated, and asked to compare the area of the two squares?

8.

Given that triangle ABC and AED are equilateral triangles, if AB = 8 & AD =6, then find the area of the shaded region BCDE?

9. Col A: Sqrt(120) + Sqrt(50)
Col B: Sqrt(80) + Sqrt(90)

10. What is the highest prime factor of 3^100 - 3^97?

11. If a wheel 'A' has half the diameter of wheel B, then
Col A: Number of revolutions made by wheel A to cover 5000 miles
Col B: Number of revolutions made by wheel B to cover 2500 miles

12. Two frequency distribution tables are given.
Table I:

Table II:

Out of mean, median & mode which quantity is common for both tables?
A. Mean only
B. Median only
C. Mode only
D. Median & Mode
E. Mean & mode

13. Col A: w(2x+2y+2z+1)
Col B: 2w(x+y+z)

14. There were a group of horses. Some of them are 7yrs old and others are 11yrs old. If the sum of all their ages is 83, then
Col A: Number of horses of 7yrs old.
Col B: Number of horses of 11yrs old.

15. Find the range of numbers between 400 and 700 that are multiples of both 2 & 3?

16. Given a table like above

Col A: The range of these 22 numbers
Col B: 40

17. Given a series -8, -3, 5, 8, 3, -5........ (Such that every number is the difference of last two numbers)
Col A: The number that would first repeat third time is
Col B: 3

18. Given a figure as above with circle inside a square, if the area of the square is 16, then
Col A: Area of circle
Col B: 4PIE

19. What is the highest prime factor of 3^100 - 3^97?

20. Col A: 1/2^3
Col B: 1/3^2

21. If x = 1 - x and y = x, then what is the value of y?
A. x
B. 0
C. 1-x
& so on...

22. Col A: x^2 - 36 = 0
Col B: x(x+8)(x-7)

23. If 'x' is an integer greater than 0, then
Col A: 2/x
Col B: x/3