CSIR Practice Quiz

Question 1

A researcher travels from station A to B at $40\,\text{km h}^{-1}$ and returns from B to A at $60\,\text{km h}^{-1}$. What is the average speed for the whole journey?

Accepted Answer

$48\,\text{km h}^{-1}$

Question 2

If the sum of the first $n$ terms of a sequence is $S_n=3n^2+2n$, then the $10$th term of the sequence is

Accepted Answer

$59$

Question 3

A fair coin is tossed three times. What is the probability of getting exactly two heads?

Accepted Answer

$\frac{3}{8}$

Question 4

A cylindrical beaker of radius $7\,\text{cm}$ contains water up to a height of $10\,\text{cm}$. A solid sphere is completely immersed in it, and the water level rises to $12\,\text{cm}$. What is the radius of the sphere?

Accepted Answer

$\sqrt[3]{\frac{147}{2}}\,\text{cm}$

Question 5

A population of bacteria doubles every $30$ minutes. If the initial population is $N_0$, what is the population after $2$ hours?

Accepted Answer

$16N_0$

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Cell Structure and Organelles Fundamentals | CSIR