CDS || Weekly Revision Quiz

The product of four consecutive natural numbers plus one is

The expression 2x³ + x² – 2x – 1 is divisible by

The average age of male employees in a firm is 52 years and that of female employees is 42 years. The mean age of all employees is 50 years. The percentage of male and female employees are respectively

If  , then what is  equal to?

What should be added to the expression x(x + a) (x + 2a) (x + 3a) so that the sum may be a perfect square?

If A and B are any two non-empty subsets of a set E, then what is A ∪ (A ∩ B) equal to?

If A is a non-empty subset of a set E, then what is E ∪ ((A ∩ ∅) – (A - ∅)) equal to?

Out of 105 students taking an examination for English and Mathematics, 80 students pass in English, 75 students pass in Mathematics and 10 students fail in both the subjects. How many students pass in only one subject?

At what point of time after 3 o’clock, do the hour-hand and the minute-hand of a clock occur at right angles for the first time?

If 64 identical small spheres are made out of a big sphere of diameter 8 cm, what is the surface area of each small sphere?