List of practice Questions

The average of five consecutive numbers is n. if the next two numbers are also included then the average will-

If five spiders can catch five flies in 5 minutes. How many flies can hundred spiders catch in 100 minutes ?

Milk and water in two vessels A and B are in the ratios 4:3 and 2:3 respectively. In what ratio the liquids in both the plate should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water.

The number of students studying physics chemistry and zoology in a college were in the ratios of 4:3:5 respectively. If the number in these three disciplines increased by 50% 25% and 10% respectively, in the next year, then what was the new respective ratio ?

A rainy day occurs once in every 10 days Half of the rainy days produce rainbows. What percent of all the days do not produce rainbow ?

When 75% of a number is added to 75, the result is same as the number. The number is -

The value of 5^1/4 × (125)^0.25 is ?

When a heap of pebbles are grouped in 32, 40 or 72 it is left with the remainders of 10,18 or 50 respectively. What is the minimum number of pebbles that the heap contains ?

Three friends had a diner at the restaurant. When the bill was recived by amit paid \(\frac{2}{3}\) as much as veena paid and veena paid \(\frac{1}{2}\) as much as tanya paid. What fraction of the bill did veena pay ?

A difference between two numbers is 1365, when larger number is divided by the smaller one, the quotient is 6, and the remainder is 15. What is the smaller number ?

If n = 1+X. Where X is the product of four consecutive positive integers, then which of the following is/are true ?
1.n is odd
2.n is prime
3.n is a perfect square.

A, B, C, D, E, F and G are the members of a family consisting of four adults and three children, two of whom F and G are girls. A and D are brothers, and A is a doctor. E is an engineer, married to one of the brothers and has two children. B is married to D, and G is their child. Who is C?

How many minutes before 12 noon is it when it is 27 minutes past 10:00 AM ?

A copper rod $AB$ of length $l$ is rotated about end A with a constant angular velocity $\omega$. The electric field at a distance $x$ from the axis of rotation is

Complete combustion of $1.80 g$ of an oxygen containing compound $\left( C _{ x } H _{ y } O _{2}\right)$ gave $2.64 g$ of $CO _{2}$ and $1.08 g$ of $H _{2} O$. The percentage of oxygen in the organic compound is:

The pair(s) of complexes wherein both exhibit tetrahedral geometry is(are)
(Note: py = pyridine, Given: Atomic numbers of Fe, Co, Ni and Cu are 26, 27, 28 and 29, respectively)

Let $f: R \rightarrow R$ be defined as, $f(x) = \begin{cases} -55x, & \text{if } x < -5 \\ 2x^3 -3x^2 -120x, & \text{if } 5 \le x \le 4 \\ 2x^3 -3x^2-36x-336& \text{if } x > 4, \end{cases} $ Let $A=\{ x \in R : f$ is increasing $\} .$ Then $A$ is equal to