Gradutate Record Exam

1. How many integers are there between 176 and 256, which are not the multiples of 7?

2. Which is the greatest prime factor of 3^100 - 3^97?

3. Find the area of the square which has its diagonal length 10?

4. The x and y coordinates of two points were given and was asked to find its slope.

5. Given coordinates of two points P, Q on a graph
Col A:Distance of point 'P' from origin
Col B:Distance of Point 'Q' from origin
(Question is similar to this.. with P & Q values given)

6. If 'n' is an integer and 26n is a multiple of 12, then
Col A: Value of n
Col B: 11

7. If x^2 = 9, then
Col A: x-2
Col B: 0

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

Value	Frequency
-1	2
-2	3
-3	5
0	7
1	1
2	3
3	3

Table II:

Value	Frequency
-1	3
-2	1
-3	4
0	6
1	1
2	3
3	4

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

9. 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.

10. A company gives a employee code to each of its employees. It consists of 4 alphabets followed by two numbers. All alphabets from A to Z (except A, E, I, O, U, Z) can be used & all numbers from 0 to 9 can be used. How many different possible employee codes can be made using these conditions?

11. A solid has dimensions of 12inchesx20inchesx15 inches. If the solid has a mass of 7kg, then what is the density of the box & its volume in cubic foot?

12. Two figures R & S given. R is a square with side 9 each & S is a square whose top right quater part has been cut(it is similar to R just a square part on top right is removed) & have side of 9 each. However the dimension of the area removed from top right quater is not given.
Col A: Area of R
Col B: 4/3 of are of S