August

1. If standard deviation of 'p' number of people is 21.5 and standard deviation of 'q' number of people is 9 then what is that least possible standard deviation value when both p and q are added?

2. If p1 = {2,3,4,5,6} and p2 = {11,12,13,14,15} then how many unique answers are possible for p1+p2?

3. Given perimeter of circle as 8pie. If the area of a square is equal to area of this circle. Find the side of the square?

4. How many of the following 2, 4, -7, sqrt(19) & 8 have their square 4 more than the multiples of 5?
A. 0
B. 1
C. 2
D. 3
E. 4

5. If A1, A2, A3, A4 & A5 belongs to a series such that An= n{(-1)^n -1}, then what will be the difference of the largest and the smallest term?
A. 4
B. 6
C. 8
D. 10
E. 12

6. If R1 = -3,-2,-1
R2 = 1, 2, 3 &
R3 = -3, -2, -1, 1, 2, 3
and if s1, s2 ans s3 are standard deviations of R1, R2 and R3 then which of the following is true?
i. s1 ii. s2<0
iii. s3=0

A. NONE
B. i only
C. ii only
D. iii only
E. all three

7. In a class of certain number of students, if 1/2 of the students takes maths as their major, 2/3 takes physics as their major & 1/3 takes both maths and physics as their majors and if 40 students didn't take any of maths or physics subjects as their major then what is the total number of students in the class?

8. If x Col A: x^2+x+1
Col B: y^2+y+1

9. Given A= { set of odd integers less than 100 }
B= { set of even integers less than 5 }
C= { set which include product of both sets A and B }
Col A: no.of integers in set C
Col B: 100

10. If Average of a, b, c, -5, -15 is 's' and average of a, b, c, 5, 15 is 't' then what is the value of (s-t)?

11. What is the remainder when (5^20) - (5^18) is divided by 4 ?

12. Given a line in xy plane with slope k = -1/2
Col A: x-intercept
Col B: y-intercept

13. There is a semi circle and person A takes 2min t