Recent questions tagged quantitative-aptitude

1 1 vote
3 3 answers
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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}$
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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 ...
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The actual demand for castings in a factory is $500$ units and $635$ units for the months of January $2026$ and February $2026$, respectively. The forecasted demand for J...
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The inventory holding cost of an item is ₹ $0.50$ per unit per month and the ordering cost per order is ₹ $550$. A stockist needs to supply $10000$ units of the item per ...
2 2 votes
0 0 answers
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Two cars, $P$ and $Q$, start from a point $X$ in India at $10 \text{ AM}$ . Car $P$ travels North with a speed of $25 \mathrm{~km} / \mathrm{h}$ and car $Q$ travels East ...
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Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?Circle; Square; Equilateral t...
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A final year student appears for placement interview in two companies, $S$ and $T$ . Based on her interview performance, she estimates the probability of receiving job of...
3 3 votes
2 answers 2 answers
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​​​​​In the following series, identify the number that needs to be changed to form the Fibonacci series.$1,1,2,3,6,8,13,21, \ldots$$8$$21$$6$$13$
4 4 votes
2 answers 2 answers
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​​The real variables $x, y, z$, and the real constants $p, q, r$ satisfy\[\frac{x}{p q-r^{2}}=\frac{y}{q r-p^{2}}=\frac{z}{r p-q^{2}}\]Given that the denominators are non...
0 0 votes
4 4 answers
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Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as $2,3,5$, and $7$. If thrown, the long dice cannot land on the square faces...
4 4 votes
2 2 answers
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How many combinations of non-null sets $\text{A, B, C}$ are possible from the subsets of $\{2,3,5\}$ satisfying the conditions: (i) $\mathrm{A}$ is a subset of $\mathrm{B...
7 7 votes
1 1 answer
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The bar chart gives the batting averages of $\mathrm{VK}$ and $\mathrm{RS}$ for $11$ calendar years from $2012$ to $2022$. Considering that $2015$ and $2019$ are world cu...
4 4 votes
2 2 answers
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A certain country has $504$ universities and $25951$ colleges. These are categorised into Grades I, II, and III as shown in the given pie charts.What is the percentage, c...
4 4 votes
2 answers 2 answers
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Consider the following inequalities$$\begin{aligned}& p^2-4 q<4 \\& 3 p+2 q<6\end{aligned}$$where $p$ and $q$ are positive integers.The value of $(p+q)$ is __________.$2$...
4 4 votes
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How many pairs of sets $\text{(S, T)}$ are possible among the subsets of $\{1,2,3,4,5,6\}$ that satisfy the condition that $\mathrm{S}$ is a subset of $\mathrm{T}?$ $729$...
0 0 votes
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Which one of the options given represents the feasible region of the linear programming model:$$\begin{gathered}\text { Maximize } 45 X_1+60 X_2 \\X_1 \leq 45 \\X_2 \leq ...
0 0 votes
2 2 answers
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The smallest perimeter that a rectangle with area of $4$ square units can have is __________ units. (Answer in integer)
4 4 votes
2 answers 2 answers
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Which one of the following is a representation (not to scale and in bold) of all values of $x$ satisfying the inequality $2 - 5x \leq - \dfrac{6x - 5}{3}$ on the real num...
9 9 votes
2 2 answers
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If $f\left ( x \right ) = 2 \:\ln \left ( \sqrt{e^{x}} \right )$, what is the area bounded by $f\left ( x \right )$ for the interval $\left [ 0,2 \right ]$ on the $x$ – a...
8 8 votes
2 2 answers
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A person was born on the fifth Monday of February in a particular year.Which one of the following statements is correct based on the above information?The $2^{\text{nd}}$...
12 12 votes
2 2 answers
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For the past $m$ days, the average daily production at a company was $100$ units per day.If today’s production of $180$ units changes the average to $110$ units per day, ...
4 4 votes
2 answers 2 answers
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Consider the following for non-zero positive integers, $p$ and $q$.$f\left ( p, q \right ) = \frac{p\times p\times p\times \cdots\: \cdots\: \cdots \times p \:= \:p^{q}}{...
4 4 votes
2 2 answers
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Equal sized circular regions are shaded in a square sheet of paper of $1$ cm side length. Two cases, case $\text{M}$ and case $\text{N}$, are considered as shown in the f...
0 0 votes
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644
644 views
The demand of a certain part is $1000$ parts/year and its cost is ₹$1000$/part. The orders are placed based on the economic order quantity $\text{(EOQ)}$. The cost of ord...
11 11 votes
2 answers 2 answers
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The average of the monthly salaries of $\text{M, N}$ and $\text{S}$ is ₹$4000$. The average of the monthly salaries of $\text{N, S}$ and $\text{P}$ is ₹$5000$. The monthl...
5 5 votes
2 answers 2 answers
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A person travelled $80$ $\text{km}$ in $6$ hours. If the person travelled the first part with a uniform speed of $10$ $\text{kmph}$ and the remaining part with a uniform ...
4 4 votes
2 answers 2 answers
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A rhombus is formed by joining the midpoints of the sides of a unit square.What is the diameter of the largest circle that can be inscribed within the rhombus?$\dfrac{1}{...
3 3 votes
2 answers 2 answers
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An equilateral triangle, a square and a circle have equal areas.What is the ratio of the perimeters of the equilateral triangle to square to circle?$3\sqrt{3} : 2 : \sqrt...
9 9 votes
4 4 answers
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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 $3$ ...
0 0 votes
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433
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Daily production capacity of a bearing manufacturing company is $30000$ bearings. The daily demand of the bearing is $15000$. The holding cost per year of keeping a beari...