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Recent questions tagged numerical-ability

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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...
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0 0 answers
GATE Civil 2026 Set 1 | GA | Question: 8
Based on the relationship between each polygon and the number inside it, the value of ' $X$ ' is $\_\_\_\_$$720$$596$$24$$240$
1 1 vote
1 1 answer
GATE Civil 2025 Set 2 | GA | Question: 3
An electricity utility company charges ₹ $7$ per kWh (kilo watt-hour). If a $40$ -watt desk light is left on for $10$ hours each night for $180$ days, what would be the c...
2 2 votes
1 1 answer
GATE Civil 2025 Set 2 | GA | Question: 5
A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:The sum of Yellow balls and twice the number of ...
3 3 votes
1 1 answer
GATE Civil 2025 Set 2 | GA | Question: 8
Consider a five-digit number $P Q R S T$ that has distinct digits $P, Q, R, S$, and $T$, and satisfies the following conditions: $$\begin{array}{l} P < Q \\ S P T \\ R ...
0 0 votes
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GATE Civil 2025 Set 1 | GA | Question: 3
​​​​The sum of the following infinite series is:$$ \frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\cdots $$$\pi$$1+e$$e-1$$e$
3 3 votes
1 1 answer
GATE Civil 2025 Set 1 | GA | Question: 7
​​​​​Rohit goes to a restaurant for lunch at about $1$ PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coincidi...
0 0 votes
0 0 answers
GATE Civil 2024 Set 2 | Question: 28
​​​A critical activity in a project is estimated to take $15$ days to complete at a cost of Rs. $30,000$. The activity can be expedited to complete in $12$ days by spendi...
0 0 votes
1 1 answer
GATE Civil 2024 Set 1 | Question: 1
​​​​​The smallest positive root of the equation\[x^{5}-5 x^{4}-10 x^{3}+50 x^{2}+9 x-45=0\]lies in the range$0 < x \leq 2$$2 < x \leq 4$$6 \leq x \leq 8$$10 \leq x \leq 1...
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GATE Civil 2022 Set 2 | Question: 26
Consider the polynomial $f(x) = x^{3} – 6x^{2} + 11x – 6$ on the domain $S$ given by $1 \leq x \leq 3.$ The first and second derivatives are $f’(x)$ and $f’’(x).$Consider...
0 0 votes
1 1 answer
GATE Civil 2022 Set 2 | Question: 34
A single-lane highway has a traffic density of $40 \; \text{vehicle/km}.$ If the time-mean speed and space-mean speed are $40 \; \text{kmph}$ and $30 \; \text{kmph},$ res...
5 5 votes
2 answers 2 answers
GATE Civil 2021 Set 2 | GA | Question: 3
Two identical cube shaped dice each with faces numbered $1$ to $6$ are rolled simultaneously. The probability that an even number is rolled out on each dice is:$\frac{1}{...
9 9 votes
2 answers 2 answers
GATE Civil 2021 Set 2 | GA | Question: 4
$\oplus$ and $\odot$ are two operators on numbers $p$ and $q$ such that $p \odot q = p-q,$ and $p \oplus q = p\times q$Then, $\left ( 9\odot \left ( 6\oplus 7 \right ) \r...
7 7 votes
3 answers 3 answers
GATE Civil 2021 Set 2 | GA | Question: 5
Four persons $P, Q, R$ and $S$ are to be seated in a row. $R$ should not be seated at the second position from the left end of the row. The number of distinct seating arr...
16 16 votes
3 answers 3 answers
GATE Civil 2021 Set 2 | GA | Question: 9
In the figure shown above, $\text{PQRS}$ is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square a...
6 6 votes
2 answers 2 answers
GATE Civil 2021 Set 2 | GA | Question: 10
In an equilateral triangle $\text{PQR}$, side $\text{PQ}$ is divided into four equal parts, side $\text{QR}$ is divided into six equal parts and side $\text{PR}$ is divid...
4 4 votes
2 answers 2 answers
GATE Civil 2021 Set 1 | GA | Question: 3
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink ...
10 10 votes
2 answers 2 answers
GATE Civil 2021 Set 1 | GA | Question: 4
​​​​​​$\bigoplus$ and $\bigodot$ are two operators on numbers $\text{p}$ and $\text{q}$ such that $p \bigoplus q=\dfrac{p^{2}+q^{2}}{pq}$ and $p \bigodot q=\dfrac{p^{2}}{...
5 5 votes
3 answers 3 answers
GATE Civil 2021 Set 1 | GA | Question: 5
Four persons $\text{P, Q, R}$ and $\text{S}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{R}$ ca...
15 15 votes
3 answers 3 answers
GATE Civil 2021 Set 1 | GA | Question: 8
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above.The value of $\theta$, in degrees, is __...
6 6 votes
2 answers 2 answers
GATE Civil 2021 Set 1 | GA | Question: 9
A function, $\lambda$, is defined by$\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2}, & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{m...
6 6 votes
5 answers 5 answers
GATE Civil 2020 Set 1 | GA | Question: 5
The sum of two positive numbers is $100$. After subtracting $5$ from each number, the product of the resulting numbers is $0$. One of the original numbers is ______.$80$...
12 12 votes
14 answers 14 answers
GATE Civil 2020 Set 1 | GA | Question: 8
Insert seven numbers between $2$ and $34$, such that the resulting sequence including $2$ and $34$ is an arithmetic progression. The sum of these inserted seven numbers...
6 6 votes
2 answers 2 answers
GATE Civil 2020 Set 1 | GA | Question: 9
The unit’s place in $26591749^{110016}$ is ______.$1$$3$$6$$9$
6 6 votes
2 answers 2 answers
GATE Civil 2020 Set 1 | GA | Question: 10
The total expenditure of a family, on different activities in a month, is shown in the pie-chart. The extra money spent on education as compared to transport (in percent)...
6 6 votes
2 answers 2 answers
GATE Civil 2020 Set 2 | GA | Question: 5
If $f(x) = x^2$ for each $x\in (-\infty,\infty)$, then $\large \dfrac{f\left(f\left(f(x)\right)\right)}{f(x)}$ is equal to _______.$f(x)$$(f(x))^2$$(f(x))^3$$(f(x))^4$
6 6 votes
4 answers 4 answers
GATE Civil 2020 Set 2 | GA | Question: 8
The ratio of ‘the sum of the odd positive integers from $1$ to $100$’ to ‘the sum of the even positive integers from $150$ to $200$’ is ________.$45:95$$1:2$$50:91$$1:1$
3 3 votes
4 answers 4 answers
GATE Civil 2020 Set 2 | GA | Question: 9
In a school of $1000$ students, $300$ students play chess and $600$ students play football. If $50$ students play both chess and football, the number of students who play...
7 7 votes
3 answers 3 answers
GATE Civil 2020 Set 2 | GA | Question: 10
The monthly distribution of $9$ Watt LED bulbs sold by two firms $X$ and $Y$ from January to June $2018$ is shown in the pie-chart and the corresponding table. If the tot...
12 12 votes
2 answers 2 answers
GATE Civil 2017 Set 2 | GA | Question: 10
The points in the graph below represent the halts of a lift for a durations of $1$ minute, over a period of $1$ hour.Which of the following statements are correct?The ele...
4 4 votes
4 answers 4 answers
GATE Civil 2017 Set 2 | GA | Question: 9
Budhan covers a distance of $19$ km in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the...
8 8 votes
2 answers 2 answers
GATE Civil 2017 Set 2 | GA | Question: 5
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\dfrac{1}{9} \\$$\dfrac{...
13 13 votes
5 answers 5 answers
GATE Civil 2017 Set 2 | GA | Question: 4
What is the value of $x$ when $81\times\left (\dfrac{16}{25} \right )^{x+2}\div\left (\dfrac{3}{5} \right )^{2x+4}=144?$$1$$-1$$-2$$\text{Can not be determined}$
6 6 votes
2 answers 2 answers
GATE Civil 2019 Set 1 | GA | Question: 3
On a horizontal ground, the base of a straight ladder is $6$ m away from the base of a vertical pole. The ladder makes an angle of $45^{\circ}$ to the horizontal. If the ...
11 11 votes
2 answers 2 answers
GATE Civil 2019 Set 1 | GA | Question: 7
In a sports academy of $300$ peoples, $105$ play only cricket, $70$ play only hockey, $50$ play only football, $25$ play both cricket and hockey, $15$ play both hockey an...
4 4 votes
1 answers 1 answer
GATE Civil 2019 Set 1 | GA | Question: 9
A square has side $5$ cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger squ...
5 5 votes
2 answers 2 answers
GATE Civil 2019 Set 2 | GA | Question: 3
Suresh wanted to lay a new carpet in his new mansion with an area of $70\times 55$ sq.mts. However an area of $550$ sq. mts. had to be left out for flower pots. If the co...
15 15 votes
2 answers 2 answers
GATE Civil 2019 Set 2 | GA | Question: 7
Population of state $X$ increased by $x\%$ and the population of state $Y$ increased by $y\%$ from $2001$ to $2011$. Assume that $x$ is greater than $y$. Let $P$ be the ...
8 8 votes
4 answers 4 answers
GATE Civil 2019 Set 2 | GA | Question: 9
An oil tank can be filled by pipe $X$ in $5$ hours and pipe $Y$ in $4$ hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the o...
7 7 votes
3 answers 3 answers
GATE Civil 2016 Set 2 | GA | Question: 6
Two finance companies, $P$ and $Q$, declared fixed annual rates of interest on the amounts invested with them. The rates of interest offered by these companies may differ...
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