Recent questions and answers

'All the mangoes in the basket are good.'If the above statement is false, then which one of the following statements is necessarily true?All the mangoes in the basket are...

What is the next number in the series?$12$ $35$ $81$ $173$ $357$ ____,

A student council of $10$ members consists of two students from engineering school, three students from science school and five students from arts school. The university ...

The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported a...

A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportati...

Two structural members are connected by a hinge and they are externally loaded as shown in the figure below. A and B are roller supports, and C is a pin support. Neglecti...

$\log \tan 1^{\circ} + \log \tan 2^{\circ} + \dots + \log \tan 89^{\circ}$ is$1$$1/\sqrt{2}$$0$$-1$

'The team $\_\_\_\_$ more than $300$ runs in $20$ overs $\_\_\_\_$ rains. However, some players needed to improve their batting skills.'Choose the option with the correct...

​​​​​A rigid circular disc of radius $r$ (in $m$ ) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc is $\omega...

A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?$B D$$B C$$B A$$A D$

Consider two identical tanks with a bottom hole of diameter $d$. One tank is filled with water and the other tank is filled with engine oil. The height of the fluid colum...

If a positive real $x$ satisfies the following equation\[\log _{2} x+\log _{\sqrt{2}} x=48,\]then the value of $x$ is $\_\_\_\_$$2^{16}$$4^{16}$$2^{14}$$4^{14}$

For the matrix $A = \begin{bmatrix} 5 & 3 \\ 1 & 3 \end{bmatrix}$, ONE of the normalized eigen vectors is given as$\begin{pmatrix} \dfrac{1}{2} \\ \dfrac{\sqrt{3}}{2} \en...

If the sum and product of eigenvalues of a $2 \times 2$ real matrix $\begin{bmatrix} 3 & p\\ p & q \end{bmatrix}$ are $4$ and $-1$ respectively, then $\left | p \right |$...

The minute-hand and second-hand of a clock cross each other ___________ times between $09:15:00$ AM and $09:45:00$ AM on a day.$30$$15$$29$$31$

Consider a string P of length $l$ that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as repres...

The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with ex...

Which one of the patterns labelled $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and $\text{S}$ is used to generate the following figure?$\text{P}$$\text{Q}$$\text{R}$$\text{S}$

The table lists the unit selling price of five products $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}$, and $\text{T}$. On a particular day, $250$ items were sold with ...

'People are crowding around $\_\_\_\_$ pit into which $\_\_\_\_$ elephant has fallen. I have never seen an elephant looking more bewildered $\_\_\_\_$ miserable. Here it ...

The next figure (indicated by ' $?$ ' ) in the sequence is

In a $12$-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a $12$-hour duration from $3$ PM in a day to $3$ ...