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If a, b ≠ 1, ab > 0, a ≠ b and log_b a = log_a b, then find ab.

It is given that logb a = loga b.... View Article

Solve 3x + 4y = 10 and 2x – 2y = 2.

The given equations are 3x + 4y = 10 and 2x - 2y = 2.... View Article

Solve the equation x² – 2x + 4 = 0.

The given equation is x2 - 2x + 4 = 0.... View Article

The odds in favour of India winning any cricket match is 2 : 3. What is the probability that if India plays 5 matches, it wins exactly 3 of them?

Odds in favour of the event = [number of fair events] / [number of unfair events]The odds in favour of winning = 2 / 3Winning match = 2kLosing... View Article

By what number should – 33 / 8 be divided to get – 11 / 2?

Let - 33 / 8 be divided by x to get - 11 / 2.... View Article

The angle of elevation and angle of depression both are measured with

The angle of elevation and angle of depression is measured with the line of sight that is always horizontal.... View Article

Find the sum of the four-digit greatest number and the five-digit smallest number, each number having three different digits.

The largest four-digit number is 9999. The smallest five-digit number is 10000. 9999 + 10000 = 19999... View Article

A football was bought for Rs.120 and sold for Rs.105. The loss % is

Cost price of football = Rs. 120Selling price of football = Rs. 105Selling price < Cost price, a loss is incurred.Loss = CP - SP= Rs. 120 -... View Article

The side of a square board is 50 cm. A student has to draw an image in her notebook. If the drawing of the square board in the notebook has a perimeter of 40 cm, then by which scale the figure has been drawn?

The side of a square board is 50 cm.Perimeter of square board = 4 x side = 4 x 50 = 200 cmThe drawing of the square board in the notebook has a... View Article

Express 3.02 * 10^-6 in the usual form.

It can be expressed in the usual form as follows.... View Article

Length of the class 11 – 20 is ______.

The length of a class can be obtained by the difference between the upper and lower limits of the class respectively.∴ Length = 20 - 11= 9.... View Article

How many different signals can be made from 4 red, 2 white, and 3 green flags by arranging all of them vertically on a flagstaff?

The number of red flags = 4 The number of white flags = 2 The number of green flags = 3 The exist total 9 flags, out of which 4 are red, 2 are... View Article

Find the average of each of the following sets. (i) 48, 23, 13, 54, 7 (ii) 3 kg, 47 kg, 92 kg, 28 kg

(i) Average = [48 + 23 + 13 + 54 + 7] / 5= 145 / 5= 29 (ii) Average = [3 + 47 + 92 + 28] / 4= 170 / 4= 42.5 kg... View Article

There are 15 stations on a certain railway line. How many different types of tickets must be printed so that a passenger can travel from one station to another in that line?

The number of ways of choosing 2 station from 15 different stations = 15C2 = [15 * 14] / 2= 105The number of different types of tickets = 2 * 105= 210... View Article

A number consists of three digits which are in GP the sum of the right-hand digits exceeds twice the middle digits by 1 and the sum of the left-hand and middle digits is two-third of the sum of the middle and right-hand digits. Find the number.

Let the three digits be a, ar and ar2.... View Article

4 / 7 of a number is 84. Find the number.

Let the number be x.(4 / 7) x = 84x = [84 * 7] / 4x = 21 * 7x = 147... View Article