Recent questions tagged numerical-ability

In a group of students, $10$ students like Mathematics, $12$ students like English, $4$ students like both Mathematics and English, and $6$ students like neither Mathemat...

Which of the following functions has the highest area under the curve between $x=0$ and $x={10}?$$y=x+8$$y=3 x$$y=2 x+1$$y=x+2$

A batch sterilizer is being operated at $121^{\circ} \mathrm{C}$ for sterilizing a medium containing microbial cells. Assume that the thermal deactivation of cells is a f...

A substrate is consumed in a zero order reaction such that its concentration falls from $42 \mathrm{~g} \mathrm{~L}^{-1}$ to $14 \mathrm{~g} \mathrm{~L}^{-1}$ in $4$ hour...

A packed bed bioreactor with length $1 \text{~m}$ and inside diameter $10 \text{~cm}$ has liquid flowing at an interstitial velocity of $1 \mathrm{~cm} \mathrm{~s}^{-1}$....

​​Rohit goes to a restaurant for lunch at about $1$ $\text{PM}$. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly co...

Ethanol is produced in a $10,000$ L stirred bioreactor using an impeller of diameter $1 \mathrm{~m}$. The density and viscosity of fermentation broth are $1000 \mathrm{~k...

A rectangular paper sheet of dimensions $54 \mathrm{~cm} \times 4 \mathrm{~cm}$ is taken. The two longer edges of the sheet are joined together to create a cylindrical tu...

The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to __________.$33$$-3$$30$$21$

If $7^{3 x}=216$, the value of $7^{-x}$ (rounded off to three decimal places) is _____________.

There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.The probability that at least two chocolates are iden...

A $0.1 \textit{ mL}$ aliquot of a bacteriophage stock having a concentration of $4 \times 10^9 \textit{ phages mL}^{-1}$ is added to $0.5 \textit{ mL}$ of $\textit{E. col...

The specific growth rate of a mold during exponential phase of its growth in a batch cultivation is $0.15 \: h^{-1}$. If the cell concentration at $30 \: h$ is $33\: g L^...

A batch reactor is inoculated with $1 \:g/L$ biomass. Under these conditions, cells exhibit a lag phase of $30$ min. If the specific growth rate in the log phase is $0.00...

The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______$n^2-n$$n^2+n$$2n^2-n$$2n^2+n$

The distance between Delhi and Agra is $233$ km. A car $P$ started travelling from Delhi to Agra and another car $Q$ started from Agra to Delhi along the same road $1$ ho...

For a matrix $M=[m_{ij}]; \: i,j=1,2,3,4$, the diagonal elements are all zero and $m_{ij}=-m_{ji}$. The minimum number of elements required to fully specify the matrix is...

The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________.$17.1$$21.0$$33.1$$72.8$

In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, on...

Two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$ km/h. The...

A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If t...

Students taking an exam are divided into two groups: $P$ and $Q$ such that each group has the same number of students. The performance of each of the students in a test w...

The binary operation $\square$ is defined as $a \square b = ab+(a+b)$, where $a$ and $b$ are any two real numbers. The value of the identity element of this operation, de...

Which of the following curves represents the function $y = \ln (\mid e^{ [ \mid \sin ( \mid x \mid ) \mid ]} \mid )$ for $\mid x \mid < 2 \pi$?. Here, $x$ represents the ...

In the summer, water consumption is known to decrease overall by $25\%$. A Water Board official states that in the summer household consumption decreases by $20\%$. While...

$40\%$ of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is$120$$144$$160$$212$

Trunks ($10$ m long) and cars ($5$ m long) go on a single lane bridge. There must be a gap of at least $20$ m after each trunk and a gap of at least $15$ m after each car...

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ ...

Operators $\square$, $\lozenge$ and $\rightarrow$ are defined by: $a \: \square \: b = \dfrac{a-b}{a+b}$; $a \: \lozenge \: b = \dfrac{a+b}{a-b}$; $a \rightarrow b = ab$....

If $\log_x (5/7) = -1/3$, then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$

A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which a...