A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]

• A. 37.5litres
• B. 375 litres
• C. 3750 litres
• D. 37500 litres

Find the derivatives of the function y = 2x²(2x - 1) at the point x = -1?

• A. 18
• B. 16
• C. -4
• D. -6

if P = {x:x is odd, −1

• A. {3,5,7,11,17,19}
• B. {3,5,11,13,17,19}
• C. {3,5,7,11,13,17,19}
• D. {2,3,5,7,11,13,17,19}

In the diagram given, find the value of x.

• A. 30°
• B. 40°
• C. 45°
• D. 15°

Find the value of X if \(cos x = \frac{5}{8}\) for \(0^o\le X\le 180^o\)

• A. 141.3^o
• B. 128.7^o
• C. 51.3^o
• D. 48.7^o

If in the English alphabet, A = 1, B = 2, C = 3…… and Z = 26, what will be sum of the alphabets L and M?

• A. 25
• B. 26
• C. 156
• D. 236

Find the sum of the first five terms of the G.P 2,6, 18 ....

• A. 484
• B. 243
• C. 242
• D. 130

Find the number of different arrangements of the word IKOTITINA.

• A. 30240
• B. 60840
• C. 120960
• D. 362880

Find P if \(\frac{x - 3}{(1 - x)(x + 2)}\) = \(\frac{p}{1 - x}\) + \(\frac{Q}{x + 2}\)

• A. \(\frac{-2}{3}\)
• B. \(\frac{-5}{3}\)
• C. \(\frac{5}{3}\)
• D. \(\frac{2}{3}\)

If T = {prime numbers} and M = {odd numbers} are subsets of \(\mu\) = {x : 0 < x≤10} and x is an integer, find (T\(^{\prime}\) n M\(^{\prime}\)).

• A. {4, 6, 8, 10}
• B. {1. 4, 6, 8, 10}
• C. {1, 2, 4, 6, 8, 10}
• D. {1, 2, 3, 5, 7, 8, 9}