On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder?

80 liters of a mixture of alcohol and water contains 60% alcohol. If 'X' liters of water is added to this mixture, then the percentage of alcohol in the new mixture becomes 40%. What is the value of 'X'?

A shopkeeper allows 4% discount on his marked price. If the cost price of an article is ₹ 100 and he has to make a profit of 20%, then his marked price must be

Evaluate the following:
5 - [96 ÷ 4 of 3 - (16 - 55 ÷ 5)]

If   $$x+{1\over x}=2 $$ then the value of    $$x^{12}-{1\over x^{12}} $$ is

The compound interest on a certain sum for first two successive years are Rs. 100 and Rs. 172 respectively. Find the rate of interest.

If the areas of two isosceles triangles are in the ratio of X² : Y², then the ratio of their corresponding heights is:

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 3x² + 11x + 10 = 0
 (ii) 2y² + 11y + 14 = 0