Recent questions tagged quantitative-aptitude

A school has $100$ students distributed among $1^{\text {st }}$ to $10^{\text {th }}$ standards.Based on this, which one of the following statements is always correct?The...

Consider the cube shown below with its $8$ corners labelled $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}$, and h . The figure is re...

To determine the viable cell count of a bacterial culture, you have plated $50 ~\mu \mathrm{~L}$ of a $100$ -fold diluted sample of the culture on a nutrient agar plate a...

By elemental analysis of a biomass sample, it was found that the cells in the given sample are composed of (by weight) $\mathrm{C}=50 \%, \mathrm{H}=8 \%, \mathrm{O}=20 \...

The electron equivalent per liter (e-eq $\mathrm{L}^{-1}$ ) of acetate ion solution of concentration $10 \mathrm{~g} \mathrm{~L}^{-1}$ is $\_\_\_\_$ $\mathrm{e}^{-} \math...

​​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...

Two fair six-sided dice, with sides numbered $1$ to $6$ , are thrown once. The probability of getting $7$ as the sum of the numbers on the top side of the dice is $\_\_\_...

The six faces of a cube (die) are numbered as $1,2,3,4,5$ and $6$, and it is rolled once. An outcome is the observed number on the top face. If the probability of getting...

Consider scale-up of fungal fermentation from a $20 \mathrm{~L}$ model-type to $20,000 \mathrm{~L}$ prototype stirred tank reactor. The model-type and prototype have the ...

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 pie chart presents the percentage contribution of different macronutrients to a typical $2,000$ $\mathrm{kcal}$ diet of a person.The typical energy density $(\mathrm{...

A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge....

Ten playing cards numbered $1,2,3, \ldots, 10$ are placed face down on a table. One card is drawn at random, its number recorded, and then replaced face down. A card is d...

Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the poin...

If$p : q = 1:2$$q : r = 4 : 3$$r : s = 4 : 5$and $u$ is $50\%$ more than $s$, what is the ratio $p : u$?$2 : 15$$16 : 15$$1 : 5$$16 : 45$

In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the are...

$\text{P}$ invested ₹$5000$ per month for $6$ months of a year and $\text{Q}$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profit is...

Decimal reduction time of a bacterial strain is $20 \textit{ min}$. Specific death rate constant in $\textit{min}^{-1}$ (rounded off to two decimal places) is ___________

During anaerobic growth, an organism converts glucose $(P)$ into biomass $(Q)$, ethanol $(R)$, acetaldehyde $(S)$, and glycerol $(T)$. Every mole of carbon present in glu...

A synchronous culture containing $1.8 \times 10^5$ monkey kidney cells was seeded into three identical flasks. The doubling time of these cells is $24$ h. After $24$ h, t...

Samples of bacterial culture taken at $5$ PM and then the next day at $5$ AM were found to have $10^4$ and $10^7$ cells.mL${-1}$, respectively. Assuming that both the sam...

A T- ask is seeded with $10^5$ anchorage-dependent cells. The available area of the T- ask is $25\: cm^2$ and the volume of the medium is $25\: ml$. Assume that the cells...

A callus of $\text{5 g}$ dry weight was inoculated on semi-solid medium for growth. The dry weight of the callus was found to increase by $1.5$ fold after $10$ days of in...

$\text{Common Data Questions}$$\text{Common Data for Questions 48 and 49}$:In a muscle, the extracellular and intracellular concentrations of ${Na^+}$ are $\text{150 mM}$...

In an exponentially growing batch culture of $\text{Saccharormyces cerevisiae}$, the cell density is 20 ${gl^{-1}}$ (DCW), the specific growth rate ($\mu$) is 0.4 ${h^{-1...