Exams

If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P3 + Q3 + R3 – 3PQR?

Select the word with the correct spelling.

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.

He had to ______ his theft.

A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are

If (1 - sinA)/(1 + sinA) = x, then x is

In terms of size, Mars ranks no. ___ in our Solar System.

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

9, 17, 44, 108, 233, ?

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

The very ___________________ of apologizing and forgiveness _________________ the importance of memory and the vitality of the community as a link between past, present and future. It ________________ the question of the responsibility ______________ the past and its injustices. Somehow for many politicians, the past is a different country for _________________ they have no responsibility.

the past is a different country for _________________ they have no responsibility.