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Recent questions tagged quantitative-aptitude

0 0 votes
1 1 answer
GATE Civil 2026 Set 2 | GA | Question: 2
​​​​​​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}$
0 0 votes
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GATE Civil 2026 Set 2 | GA | Question: 5
Consider the following statements about four numbers:$\text{(S1)}$ The average of the four numbers is $25$$\text{(S2)}$ Each number is at most $40$$\text{(S3)}$ Each numb...
0 0 votes
1 1 answer
GATE Civil 2026 Set 2 | GA | Question: 7
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 ...
0 0 votes
0 0 answers
GATE Civil 2026 Set 1 | GA | Question: 10
$P$ and $Q$ are two positive integers such that $P^{2}=Q^{2}+13$.The product of the numbers $P$ and $Q$ is $\_\_\_\_$$13$$26$$39$$42$
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0 0 answers
GATE Civil 2026 Set 1 | Question: 23
The travel times of three vehicles on a $2$ km stretch of road are $4,5,$ and $8$ minutes. Assuming the speed of each vehicle to be constant in this stretch, the Space Me...
1 1 vote
1 1 answer
GATE Civil 2025 Set 2 | GA | Question: 9
A business person buys potatoes of two different varieties $P$ and $Q$, mixes them in a certain ratio and sells them at ₹ $192$ per kg.The cost of the variety $P$ is ₹ $8...
9 9 votes
9 9 answers
GATE Civil 2024 Set 2 | GA | Question: 3
A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in t...
6 6 votes
3 3 answers
GATE Civil 2024 Set 2 | GA | Question: 4
If the sum of the first $20$ consecutive positive odd numbers is divided by $20^{2}$, the result is$1$$20$$2$$1 / 2$
0 0 votes
4 4 answers
GATE Civil 2024 Set 2 | GA | Question: 5
The ratio of the number of girls to boys in class $\text{VIII}$ is the same as the ratio of the number of boys to girls in class $\text{IX}$. The total number of students...
3 3 votes
2 2 answers
GATE Civil 2024 Set 2 | GA | Question: 7
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.The...
1 1 vote
1 1 answer
GATE Civil 2024 Set 2 | GA | Question: 8
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of...
1 1 vote
1 1 answer
GATE Civil 2024 Set 2 | Question: 37
The expression for computing the effective interest rate $\left(i_{\text {eff }}\right)$ using continuous compounding for a nominal interest rate of $5 \%$ is\[i_{\text {...
8 8 votes
3 answers 3 answers
GATE Civil 2024 Set 1 | GA | Question: 2
In a locality, the houses are numbered in the following way:The house-numbers on one side of a road are consecutive odd integers starting from $301$, while the house-numb...
3 3 votes
1 answers 1 answer
GATE Civil 2024 Set 1 | GA | Question: 3
For positive integers $p$ and $q$, with $\frac{p}{q} \neq 1,\left(\frac{p}{q}\right)^{\frac{p}{q}}=p^{\left(\frac{p}{q}-1\right)}$. Then,$q^{p}=p^{q}$$q^{p}=p^{2 q}$$\sqr...
7 7 votes
1 1 answer
GATE Civil 2024 Set 1 | GA | Question: 5
​​​​​On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time $12:05:00$ hours to $12: 55: 00$ hours?$51$...
7 7 votes
3 3 answers
GATE Civil 2024 Set 1 | GA | Question: 7
​​​​​Three distinct sets of indistinguishable twins are to be seated at a circular table that has $8$ identical chairs. Unique seating arrangements are defined by the rel...
6 6 votes
1 1 answer
GATE Civil 2024 Set 1 | GA | Question: 8
The chart given below compares the Installed Capacity (MW) of four power generation technologies, $\text{T}1, \text{T}2, \text{T}3$, and $\text{T}4$, and their Electricit...
7 7 votes
1 1 answer
GATE Civil 2024 Set 1 | GA | Question: 10
During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^{\circ}$, the ratio of th...
0 0 votes
0 0 answers
GATE Civil 2024 Set 1 | Question: 41
The initial cost of an equipment is Rs. $1,00,000$. Its salvage value at the end of accounting life of $5$ years is Rs. $10,000$. The difference in depreciation (in Rs.) ...
4 4 votes
4 4 answers
GATE Civil 2023 Set 2 | GA | Question: 4
There are $4$ red, $5$ green, and 6 blue balls inside a box. If $N$ number of balls are picked simultaneously, what is the smallest value of $N$ that guarantees there wil...
4 4 votes
2 2 answers
GATE Civil 2023 Set 2 | GA | Question: 9
If $x$ satisfies the equation $4^{8^{x}}=256$, then $x$ is equal to __________.$\frac{1}{2}$ $\log _{16} 8$$\frac{2}{3}$$\log _{4} 8$
2 2 votes
3 3 answers
GATE Civil 2023 Set 2 | GA | Question: 10
Consider a spherical globe rotating about an axis passing through its poles. There are three points $P, Q,$ and $R$ situated respectively on the equator, the north pole, ...
12 12 votes
4 4 answers
GATE Civil 2023 Set 1 | GA | Question: 3
In the given figure, $\text{PQRSTV}$ is a regular hexagon with each side of length $5\mathrm{~cm}.$ A circle is drawn with its centre at $ \mathrm{V}$ such that it passes...
7 7 votes
3 3 answers
GATE Civil 2023 Set 1 | GA | Question: 7
Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function), $P(x)$, of a variable $...
8 8 votes
4 answers 4 answers
GATE Civil 2023 Set 1 | GA | Question: 9
Let $a=30 !, b=50!,$ and $c=100!.$ Consider the following numbers:$$\log _a c, \quad \log _c a, \quad \log _b a, \quad \log _a b$$Which one of the following inequalities ...
8 8 votes
2 2 answers
GATE Civil 2023 Set 1 | GA | Question: 10
A square of side length $4 \mathrm{~cm}$ is given. The boundary of the shaded region is defined by one semi-circle on the top and two circular arcs at the bottom, each of...
3 3 votes
2 2 answers
GATE Civil 2022 Set 2 | GA | Question: 2
$x:y:z = \frac{1}{2} : \frac{1}{3} : \frac{1}{4}.$What is the value of $\frac{x+z-y}{y} ?$$0.75$$1.25$$2.25$$3.25$
6 6 votes
2 answers 2 answers
GATE Civil 2022 Set 2 | GA | Question: 3
Both the numerator and the denominator of $\dfrac{3}{4}$ are increased by a positive integer, $x,$ and those of $\dfrac{15}{17}$ are decreased by the same integer. This o...
2 2 votes
2 2 answers
GATE Civil 2022 Set 2 | GA | Question: 4
A survey of $450$ students about their subjects of interest resulted in the following outcome.$150$ students are interested in Mathematics.$200$ students are interested i...
4 4 votes
2 2 answers
GATE Civil 2022 Set 2 | GA | Question: 7
In a partnership business, the monthly investment by three friends for the first six months is in the ratio $3:4:5.$ After six months, they had to increase their monthly ...
4 4 votes
2 2 answers
GATE Civil 2022 Set 2 | GA | Question: 8
Consider the following equations of straight lines:$\text{Line L1}: 2x – 3y = 5$$\text{Line L2}: 3x + 2y = 8$$\text{Line L3}: 4x – 6y = 5$$\text{Line L4}: 6x – 9y = 6$Whi...
0 0 votes
0 0 answers
GATE Civil 2022 Set 2 | Question: 47
A pump with an efficiency of $80\%$ is used to draw groundwater from a well for irrigating a flat field of area $108$ hectares. The base period and delta for paddy crop o...
6 6 votes
2 2 answers
GATE Civil 2022 Set 1 | GA | Question: 2
Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the poin...
4 4 votes
5 5 answers
GATE Civil 2022 Set 1 | GA | Question: 3
If$p : q = 1:2$$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$
5 5 votes
2 2 answers
GATE Civil 2022 Set 1 | GA | Question: 5
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...
3 3 votes
4 4 answers
GATE Civil 2022 Set 1 | GA | Question: 7
$\text{P}$ 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...
6 6 votes
2 2 answers
GATE Civil 2022 Set 1 | GA | Question: 8
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam.From the data presented above, which one of the following is ...
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