Gradutate Record Exam

1. A rectangular solid is given which consists of 10 cubes in 1 row and 3 cubes in 1 column. In that manner there are 10 rows and 3 columns. If the length of edge of the cube is 1, then what is the surface area of the rectangular solid?

2. In a total of 160 members, 25% are women and 45% are non-minority members. If 1/9 of the women are minority members, then what is the total number of people who are neither women nor minority members?

3. In triangle ABC, if AB= AC= 4, then
Col A: BC
Col B: 5

4. If -10 <= x <= 10 & -11 <= y <= 11, then what is the greatest possible value of y - x?

5. In a box there are 12 dimes, 4 quarters & 26 diamonds. If 4 are removed, then what is the probability that 3 are dimes(Provided should be removed without replacement)?

6. Given sides of a triangle. Find the area of triangle?

7. Col A: Quadratic square of -12, 3 & 10
Col B: Arithematic mean of -12, 3 & 10

8. How many cubes of edge length 1 and 2 can be fitted into the rectangular solid, if the volume of the rectangular solid is 35*10*15?

9. In a college, 1/15 of the students are absent ,1/4 of present went to a field. If the students present in school are 1000, then how much is the actual strength of the school?

10. Given three series
l: x, 2x, 3x, 4x, 5x
ll: x, x+1, x+2, x+3
lll: 1/x,1/x+1,1/x+2,1/x+3
Which of the series has same mean and median?

11. Given a series of numbers 1, -1, 2, -2, 3, -3.......
Col A: The sum of the first 67 terms
Col B: 34

12.Given length of hall is 48 feet and width of hall is 10 feet. If it has to be covered by square tiles of length 8 inches and tiles come in packets of 100 tiles, then how many packets have to be brought?

13. Given that, the probability that it won't rain tommorrow is 0.46
Col A: The probalility that it wil rain tommorrow at temperature of 85degree centigrade
Col B: 0.54

14.If xy > 0, then
Col A: x+y
Col B: 0

15. Given a graph of some irregular shape in quadrants with each unit as 5 mts and asked to find approximate area of the figure?

16. Given that a telephone exchange has numbers from 1000 to 1799 group. If Group A contains numbers starting with 33 & 34 and directors numbers end with either 0 or 1, then find the percentage of directors present in Group A? (Instead of telephone numbers, car numbers were given)
A. 6%
B. 7%
C. 5%
D. 8%
E. 4%

17. If xy > 0 , then
Col A: x+y
Col B: 0

18. Given two points (3, 4) and (t, t) and if the slope of the line is negative, then
Col A: t
Col B: 3