Recent questions tagged quantitative-aptitude / GO Civil

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1

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 will be at least two balls of the same colour? One cannot see the colour of the balls until they are picked. $4$ $15$ $5$ $2$

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...

admin

4.2k points

admin asked May 21, 2023

1 votes

1 answer

2

GATE Civil 2023 Set 2 | GA Question: 9
If $x$ satisfies the equation $4^{8^{x}}=256$, then $x$ is equal to __________. $\frac{1}{2}$ $\log _{16} 8$ $\frac{2}{3}$ $\log _{4} 8$

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$

admin

4.2k points

admin asked May 21, 2023

1 votes

0 answers

3

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, and midway between the equator and the north pole in the northern hemisphere ... following options is CORRECT? $v_P<v_R<v_Q$ $v_P<v_Q<v_R $ $v_P>v_R>v_Q $ $v_P=v_R \neq v_Q$

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, ...

admin

4.2k points

admin asked May 21, 2023

1 votes

1 answer

4

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 through $\mathrm{P}.$ What is the area $ \text{( in cm}^{2})$ of the shaded region? (The diagram is representative) $\frac{25 \pi}{3}$ $\frac{20 \pi}{3}$ $6 \pi$ $7\pi$

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...

admin

4.2k points

admin asked May 21, 2023

1 votes

0 answers

5

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 $x?$ mean $=$ median $\neq$ mode mean $=$ median $=\operatorname{mode}$ $\operatorname{mean} \neq \operatorname{median}=\operatorname{mode}$ mean $\neq$ mode $=$ median

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 $...

admin

4.2k points

admin asked May 21, 2023

1 votes

0 answers

6

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 is $\text{CORRECT?}$ $\log _c a<\log _b a<\log _a b<\log _a c$ ... $\log _c a<\log _b a<\log _a c<\log _a b$ $\log _b a<\log _c a<\log _a b<\log _a c$

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 ...

admin

4.2k points

admin asked May 21, 2023

1 votes

0 answers

7

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 radius $2 \mathrm{~cm}$, as shown. The area of the shaded region is__________$\text{cm}^{2}.$ $8$ $4$ $12$ $10$

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...

admin

4.2k points

admin asked May 21, 2023

1 votes

1 answer

8

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 $\frac{x+z-y}{y} ?$ $0.75$ $1.25$ $2.25$ $3.25$

$x:y:z = \frac{1}{2} : \frac{1}{3} : \frac{1}{4}.$What is the value of $\frac{x+z-y}{y} ?$$0.75$$1.25$$2.25$$3.25$

Arjun

13.0k points

Arjun asked Feb 15, 2022

2 votes

1 answer

9

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 operation results in the same value for both the fractions. What is the value of $x ?$ $1$ $2$ $3$ $4$

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...

Arjun

13.0k points

Arjun asked Feb 15, 2022

1 votes

1 answer

10

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 in Physics. $175$ students are interested in Chemistry. $50$ students are ... Based on the above information, the number of students interested in Humanities is $10$ $30$ $40$ $45$

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...

Arjun

13.0k points

Arjun asked Feb 15, 2022

1 votes

1 answer

11

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 investments by $10 \%, 15 \%, \; \text{and} \; 20 \%,$ respectively, of ... is proportional to their individual total investment over the year? $22:23:24$ $22:33:50$ $33:46:60$ $63:86:110$

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 ...

Arjun

13.0k points

Arjun asked Feb 15, 2022

1 votes

1 answer

12

GATE Civil 2022 Set 2 | GA Question: 8
Consider the following equations of straight lines: $\text{Line L1}: 2x - 3y = 5$ $\text{Line L2}: 3x + 2y = 8$ $\text{Line L3}: 4x - 6y = 5$ $\text{Line L4}: 6x - 9y = 6$ Which one among the following is the correct statement? $\text{L1}$ ... $\text{L2}$ $\text{L4}$ is perpendicular to $\text{L2}$ and $\text{L4}$ is parallel to $\text{L3}$

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 =...

Arjun

13.0k points

Arjun asked Feb 15, 2022

1 votes

1 answer

13

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 point $(x_{2}, y_{2}) = (1, 2)$. What is the area enclosed between the straight lines in the interval $[0, 1]$ on the $x$-axis? $0.5$ $1.0$ $1.5$ $2.0$

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...

Arjun

13.0k points

Arjun asked Feb 15, 2022

1 votes

1 answer

14

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 $p : u$? $2 : 15$ $16 : 15$ $1 : 5$ $16 : 45$

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$

Arjun

13.0k points

Arjun asked Feb 15, 2022

1 votes

1 answer

15

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 areas of the squares, $\text{PXWR, RUVZ}$ and $\text{SPQT}$ is Area of $\text{SPQT}$ ... $\text{RUVZ}$ Area of $\text{PXWR}$ = Area of $\text{RUVZ}$ - Area of $\text{SPQT}$

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...

Arjun

13.0k points

Arjun asked Feb 15, 2022

1 votes

1 answer

16

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 shared in proportion to the total investment made in that year. If at the end of ... receives $\dfrac{4}{9}$ of the total profit, what is the value of $x$ (in ₹)? $2500$ $3000$ $4687$ $8437$

$\text{P}$ 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 profi...

Arjun

13.0k points

Arjun asked Feb 15, 2022

1 votes

1 answer

17

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 $\text{CORRECT}$? mean > mode > median mode > median> mean mode > mean > median median > mode > mean

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 ...

Arjun

13.0k points

Arjun asked Feb 15, 2022