MATH-O-MANIA

Which of the number given below, has atleast 2 numbers which can divide the number without leaving a remainder:-

• 99987

• 99987

• 91993

• 99991

Find out the number of ways to arrange the letters of the word 'LEVEL'

• 24

• 120

• 60

• 30

Find the eigenvalues of :-

A = [4 12 3]

• 1,6

• 2,5

• 6,1

• 5,2

How many diagonals does a convex 18 sided polygon have?

• 189

• 135

• 145

• 108

Which of the numbers among these are divisible by 2, 3, 7 but not divisible by 9 is:-

• 105

• 672

• 336

• 210

A fair six sided dice is thrown 3 times, probability the sum will be 9 is:-

• 5/216

• 5/36

• 25/216

• 25/36

Which numbers can effectively divide the number 999987 without leaving a remainder:-

• 1293

• 1289

• 1297

• 1287

Solve for x, y, z:-

x + y + z = 100

x^2 + y^2 + z^2 = 3856

xy + yz + zx = 3072

• 16,36,48

• 16,60,0

• 36,16,48

• 48,16,36

Integral from 0 to 1 (2x^2 + 3x) dx, evaluate

• 6/13

• 13/6

• 11/6

• 6/11

If f(x) = x^3 - 4x^2 - ⅓, find f'(396)

• 467280

• 467820

• 468702

• 462780