Question
Four numbers have been given, out of which three are
alike in some manner and one is different. Select the number that is different.Solution
19² = 361 + 1 = 362 24² = 576 + 1 = 577 15² = 225 + 1 = 226 32² = 1024 + 1 = 1025
A man travels 60 km at a speed of 30 km/h and then travels 90 km at a speed of 60 km/h. What is his average speed for the entire journey?
If sin A + cos A = 1, what is the value of tan A?
How many chairs must be sold for Rs. 25,600 to achieve a 25% profit, given that 50 chairs were originally purchased for the same amount?

A car travels a distance of 240 km in 4 hours. If it increases its speed by 20 km/h for the next 3 hours, how much distance will it cover in total?
If 'x' is a positive integer such that x + 1/x = 2, then find the value of (x3 + x2 − 2x – 6)/(4x4 + 2x2
Solve the equation:sin(x) + cos(x) = 2·sin(x + α). Then the value of α is:
A man standing on the top of a cliff observes a boat at an angle of depression of 45°. He then moves 30 meters further down the cliff, and the angle of...
A merchant faces a loss of 18% when selling a product for Rs. 656.20. Determine the cost price of the product.