A pendulum clock loses 12 s a day if the temperature is 40 C and gains 4s a day if the temperature is 20 C. The temperature at which the clock will show correct time, and the coefficient of linear expansion () of the metal of the pendulum shaft are respectively :

The Boolean Expression (p   q)  q  ( p  q) is equivalent to :

A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he…

Let two fair sixfaced dice A and B be thrown simultaneously. If E1 is the event that die A shows up four, E 2 is the e…

If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true?

Let a, b and c be three unit vectors such that    3a b c b c . 2    If b is not parallel to c , then the angle…

If the line, x 3 y 2 z 4 2 1 3  lies in the plane, x + my  z = 9, then 2 + m2 is equal to :

The distance of the point (1, 5, 9) from the plane x  y + z = 5 measured along the line x = y = z is :

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis i…

The centres of those circles which touch the circle, x 2 + y2  8x  8y  4 = 0, externally and also touch the x-axis,…

Two sides of a rhombus are along the lines, x  y + 1 = 0 and 7x  y  5 = 0. If its diagonals intersect at (1, 2), t…