नवम्बर १३ maths

1. A Rectangular floor is made up of 'M' rows and 'M+4' columns fully made up of square tiles.
Col A : The difference between the number of tiles in the 21st row and 26th column
Col B: M^2+2M+2

2. 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

3. Given n = x^(2x), where 'x' is a negative number.
Col A : n
Col B: 0

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

5. There are two similar cylinders. One cylinder ‘A’ has water filled to half of its height and is standing on its base. Other cylinder ‘B’ is lying down with water filled to two third of its height (i.e. its diameter).
Col A: Volume of the Cylinder A
Col B: Volume of the Cylinder B

6. If the average of 6, x and y is 0, then what is the average of x and y?

7. If 5 + 2x > 1, then
Col A: x
Col B: -1.999

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

9. Given a right angle triangle ABC where AC is the hypotenuse. Two points are marked on the line AB as 'E' and 'M', such AE = EM = MB & similarly on AC two points 'F' and 'N' are marked, such that AF = FN = NC. If the area of triangle AEF is 12, then find the area of the triangle ABC?
(Given question is similar to this)

10. Given numbers from 1 to 10. Two numbers are to be selected from these 10 numbers and they can be same also. What is the probability that at least one of them is even?
A. 1/2
B. 3/4
C. 1/4
& so on....

11. Given a series p1, p2, p3, p4................ If p1 = 1 & pn = 24*p(n-1)+8, then
Col A: The remainder when p66 is divided by 6
Col B: 4
(Here 1, 2, 3, 4, 66, n & n-1 are suffixes)

12. Given average of a & b as 10. When 'c' is added to a & b, then the average is 10(again).
Col A: Value of 'c'
Col B: 10

13. 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
(something similar to this)

14. A girl has several pigeons and she uses 'W'kg grains to feed them for a week. If a single pigeon consumes 'K'kg per day, then
Col A: The total Number of pigeons
Col B: 7W/F

15. Col A: (2^x)(4^x)
Col B: (2^3x)

16. Given a pentagon having perimeter 30 and asked to find the area of the pentagon?

17. Col A: 2^-3
Col B: 3^-2