Q. 7. Out of the six surfaces 4 are rectangular 13 x 20 + 13 x 20 + 20 x 20 + 10 x 20 + 2 x ( area of trapezium ) 520 + 600 + 360 = 1480 square units...

Solution to the Q. 6

1/64 + 1/64 + 9/64 +9/64 = 5/16.

number of possible outcomes when 3 fair coins are tossed => 2^3 { TTT , TTH , THH , HHH , HHT , HTT , HTH , THT} Probability of A getting 3 heads...

To win the game A has to leave exactly one coin on the table so that B has to pick it up and would lose the game . So A make his strategy to remove 9 ...

Suppose the filling capacity of the tank = x m3 per min so, 1500/x – 1500/( x+ 10) = 5 x2 + 10x – 3000 = 0Solving this we get x = 50 Emptying capacity...

1/4 of (Area of the square ABCD - area of the smaller circle ) = 1/4 of (100 - 39.2) = 15.2 %

4x+2y = 111-5zPut z=12x+y=53Possible values for y=1,3,...5126 Solutions. Now z=2. This case won't be possible. Next, take z=32x+y=48 y=2,4,....,46= 23...

Total number of points of intersection of 40 points : 40C2 = 780 Number of points of intersection when lines are parallel : 0 So remove 13C2 i...

By alligation rule [6% ] [ 50%] 10% [ 55 - x ] [ x ] (55 - x )/ x = ( 10- 6)...

x³ - ax² + bx -a = 0 x² ( x - a) + b ( x-a) = 0 if , b = 1 , then the equation reduces to x²( x - a) + (x-a) = 0 (x-a)(x² + 1) = 0 it has one rea...

last two digits of 91^19 => 11 last two digits of 19^91 => 19 last two digits of 91^19 - 19^91 => 08 options are wrong.

x2 -2kx + 2k -1 > 0. Coefficient of x2 is positive. Discriminant should be less than 0. (-2k)2 – 4 . 1 . ( 2k -1) < 0 4k2 -8k + 4 < 0( k-1)2...