Gradutate Record Exam

Quant: 1.

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

2. There are two plants 'A' & 'B'. The plant 'A'
In, 1st week grows 1/4th
2nd week grows 1/5th
3rd week grows 1/6th
4th week grows 1/7th
5th week grows 1/8th
6th week grows 1/9th
& if plant B grows 3/4th in these 6weeks period, then
Col A: Growth of plant 'A' in 6weeks
Col B: Growth of plant 'B' in 6weeks.
(Question is similar to this)

3.

Which of the following is true?
A. L^2 + W^2 = 50
B. L^2 + W^2 = 25
C. L^2 + W^2 = 100
D. L^2 + W^2 = 75
E. L^2 + W^2 = 125

4. For n > 0, which of the following options cannot be unit digit of the value 2^n – 1?
A. 1
B. 2
C. 3
D. 9
& so on….

5.

Find the perimeter of the arc AOB?
6. If 3x + y = 12 & x +y/3 = 4, then
Col A: x
Col B: y

7.

Given a figure as above with a point ‘Q’ outside the circle
Col A: OP
Col B: OQ

8. If a rectangle's length is increased by 15% and width is decreased by 15%, then
Col A: Area of the initial rectangle
Col B: Area of the later(changed) rectangle.

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

10. If 0 < M < N < P < Q < R, then
Col A: Median of M, N, P, Q & R
Col B: Arithmetic Mean of M, N, P, Q & R.

11. If x^2 – 36 = 0 & x(x+6)(x+8) = 0, then
Col A: x
Col B: 0

12. How many numbers between 400 and 700 are multiples of both 2 & 3?

13. A rectangular solid with length 40m, height 2m & width 10m is given. Find the volume of the rectangular solid in cubic centimeter??

14. Col A: The distance from origin to (3, 4)
Col B: The distance from origin to (5, 2)

15. Given a rectangle field whose length ‘l’ and breath ‘b’ is made area=25000, such that its length is increased by 10% and its breadth is been decreased by 5 %.
Col A: Change in area of the rectangle
Col B: 1200

16. If Raymond earns 'd' dollars/hr & works for 'h' hrs and Andrew earns half as that of Raymond, working at the same rate, then find Andrew's earning after 'h+50'hrs in terms of h and d terms?

17. 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

18. Last year, few girls and boys participated in drama. This year the number of girls and boys increased by x(x>0). If the number of boys is greater than number of girls, then
Col A: Percentage increase in boys from last year to this year
Col B: Percentage increase in girls from last year to this year

19. If the length of a rectangle is increased by 10% and its width is decreased by 10%, then what is the new area of the rectangle?
A. Increased by 10%
B. Increased by 1%
C. Remains same
D. Decreased by 1%
E. Decreased by 10%

20. Which of the following is less than 30% of 1
A. 3/17
B. 1/3
C. 22/25
D. 0.6
& so on…

21. If the sum of 5Y2 and 257 is 8N9, then what is the least possible values of N and Y
Col A: Y+N
Col B: 9

22. If -1 < x < 0, then which of the following is greater?
A. x
B. x^3
C. 1-x^3
& so on.....

23. If g(x) = 3^(x-1), then what is the value of [g(x+1)-g(x)]/2?

24. If the numbers 1, 5, 6, 8 & 9 are used once and are used to form a three digit number 't' and a two digit number 'r', then what is the minimum value of t - r?
A. 56
B. 58
C. 70
D. 73
& so on…

25. A circle has centre (0, 2) and a point P (2,-1) lies on its circumference. What is the radius of the circle?