Tag: math & puzzles

The point diametrically opposite to the point P (1, 0) on the circle x2 + y2 + 2x + 4y - 3 = 0 is

The conjugate of a complex number is 1/i-1. Then the complex number is

Let R be the real line. Consider the following subsets of the plane R × R. S = {(x, y) : y = x + 1 and 0 < t =" {(x,">

The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y-intercept - 4. Then a possible value of k is

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is

How many real solutions does the equation x7 + 14x5 + 16x3 + 30x – 560 = 0 have?

The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz-plane at the point (0, 17/2, -13/2) Then

Can the mean (average) of 2 consecutive prime numbers be a prime number?

Banu recently went for shopping. She spent 85% of money she had on shopping. She is now left with Rs. 75. How much money did she have initially when she went for shopping...