If `m` and `x` are two real numbers where `m in I`, then `e^(2micot^(-1)x)((x*i+1)/(x*i-1))^m`
(A)   `cos x+i sin x`   (B)   `m/2`   (C)   `1`    (D)   `(m+1)/2`

Find the volume in cubic decimetre of each of the cubes whose side is (i)1.5m          (ii)  75cm        (iii)  2dm 5cm

If the circumference of a circle is equal to the perimeter of a square then the ratio of their areas is: (a)22:7       (b)  14:11       (c)  7:22          (d)  7:11

If the difference between mean and m0de is 63, the difference between mean and median is 189           (b)  21          (c)  31.5          (d)  48.5

If the difference between mean and m0de is 63, the difference between mean and median is 189           (b)  21          (c)  31.5          (d)  48.5

7).Rewrite the following rational numbers in the simplest form:(i) -8/6 (ii) 25/45 (iii) -44/72 (iv) -8/10 (8).Fill in the boxes with the correct symbol out of >, <, and =.(i)        (ii)       (iii)     (iv)   (v)       (vi)      (vii)

The mean of 100 numbers observations is 50 and their standards deviation is 5. The sum of all squares of all the observations is (a)50,000          (b) 250,000         (c) 252500         (d) 255000

Number of four digit number between 5000 and 6000 such that digit at thousand.s place is equal to the sum of the other three digits, is (1) 21000       (2)   126         (3)  21       (4)  42

The domain of the function f(x)=sqrt({(-log_0.3(x-1))/(-x^2+3x+18)}) is (a)   [2,6]   (b)   ]2,6[ (b)   [2,6[   (d)  None of these

A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be(i) white?         (ii) blue?          (iii) red?

Write the negation of the following statements and check whether the resulting statements are true,(i)         Australia is a continent.(ii)        There does not exist a quadrilateral which has all its sides equal,(iii)       Every natural number is greater than 0.(iv)       The sum of 3 and 4 is 9.