The lengths of the three sides of a right-angled triangle are (x - 1) cm, (x +1) cm and (x + 3) cm, respectively. The hypotenuse of the right-angled triangle (in cm) is:

A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between ihe interest at the end of 2 years and that at the end of 4 years is ₹5,082. Find the sum (in ₹).

Select the number from among the given options that can replace the question mark (?) in the following series.
 5, 10, 17, 26, 37, 50, ?

Select the figure from among the given options that can replace the question mark (?) in the following series.

Question figure. 

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
 (40, 120, 400)
 (18, 20, 78)

The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 : 11. If both of them manage to save ₹4,000 per month, then find the difference in their incomes (in ₹).

select the correct mirror image of the given combination when the mirror is placed at MN as shown. 

A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is: