Recent questions and answers in Quantitative Aptitude / GO Instrumentation

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1 answer

1

GATE IN 2023 | GA Question: 7
Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules: At any stage, Ankita can move either one or two stairs up. At any stage, Ankita cannot move to a lower step. Let $F(N)$ denote the number of possible ways in which Ankita can reach the $N^{\text {th}}$ stair. For example, $F(1)=1, F(2)=2, F(3)=3$. The value of $F(5)$ is__________. $8$ $7$ $6$ $5$

Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules:At any stage, Ankita can move either one or two stairs up.At any stage, Ankita...

Lakshman Bhaiya

2.4k points

Lakshman Bhaiya answered Aug 21, 2023

2 votes

1 answer

2

GATE IN 2023 | GA Question: 4
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$ The median is at least as large as the mean. The mean is at least as large as the median. At most half the candidates have a score that is larger than the median At most half the candidates have a score that is larger than the mean.

Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$The median i...

Lakshman Bhaiya

2.4k points

Lakshman Bhaiya answered Aug 21, 2023

2 votes

1 answer

3

GATE IN 2023 | GA Question: 3
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ is not. How many such frabjous numbers exist? $125$ $720$ $60$ $80$

A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ ...

Lakshman Bhaiya

2.4k points

Lakshman Bhaiya answered Jul 9, 2023

1 votes

0 answers

4

GATE IN 2023 | GA Question: 5
In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ depicts the top view of the hill? $\mathbf{P}$ $\mathbf{Q}$ $\mathbf{R}$ $\mathbf{S}$

In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ dep...

admin

2.7k points

admin asked May 22, 2023

1 votes

0 answers

5

GATE IN 2023 | GA Question: 9
Which one of the given figures $\text{P, Q, R}$ and $\text{S}$ represents the graph of the following function? $f(x)=|| x+2|-| x-1||$ $\text{P}$ $\text{Q}$ $\text{R}$ $\text{S}$

Which one of the given figures $\text{P, Q, R}$ and $\text{S}$ represents the graph of the following function?$$f(x)=|| x+2|-| x-1||$$ $\text{P}$$\text{Q}$$\text{R}$$\te...

admin

2.7k points

admin asked May 22, 2023

0 votes

0 answers

6

GATE IN 2022 | GA Question: 2
A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape. What should be the minimum volume (in $\text{cm}^{3}$) of the box that can enclose the sphere? $\frac{r^{3}}{8}$ $r^{3}$ $2r^{3}$ $8r^{3}$

A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape. What should be the minimum volume (in $\text{cm}^{3}$) of the box that can enclose the sphere?$\fr...

Lakshman Bhaiya

2.4k points

Lakshman Bhaiya asked Mar 20, 2022

0 votes

0 answers

7

GATE IN 2022 | GA Question: 3
Pipes $\text{P}$ and $\text{Q}$ can fill a storage tank in full with water in $10$ and $6$ minutes, respectively. Pipe $\text{R}$ draws the water out from the storage tank at a rate of $34$ litres per minute. $\text{P, Q and R}$ operate at a constant rate. If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres)? $26.8$ $60.0$ $120.0$ $127.5$

Pipes $\text{P}$ and $\text{Q}$ can fill a storage tank in full with water in $10$ and $6$ minutes, respectively. Pipe $\text{R}$ draws the water out from the storage tan...

Lakshman Bhaiya

2.4k points

Lakshman Bhaiya asked Mar 20, 2022

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0 answers

8

GATE IN 2022 | GA Question: 7
A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered $1, 2, 3,4, 5, 6, 7$ or $8$ as shown. Two such disks are used in a game where their arrows are independently spun. What is the ... spinning the two disks is equal to 8 after the arrows come to rest? $\dfrac{1}{16}$ $\dfrac{5}{64}$ $\dfrac{3}{32}$ $\dfrac{7}{64}$

A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest...

Lakshman Bhaiya

2.4k points

Lakshman Bhaiya asked Mar 20, 2022

0 votes

0 answers

9

GATE IN 2022 | GA Question: 8
Consider the following inequalities. $3p \:– q < 4$ $3q \:– p < 12$ Which one of the following expressions below satisfies the above two inequalities? $p + q < 8$ $p + q = 8$ $8 \leq p + q < 16$ $p + q \geq 16$

Consider the following inequalities.$3p \:– q < 4$$3q \:– p < 12$Which one of the following expressions below satisfies the above two inequalities?$p + q < 8$$p + q =...

Lakshman Bhaiya

2.4k points

Lakshman Bhaiya asked Mar 20, 2022

0 votes

0 answers

10

GATE IN 2021 | 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 neither tea nor coffee? $15$ $25$ $35$ $40$

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 ...

Arjun

2.9k points

Arjun asked Feb 19, 2021

0 votes

0 answers

11

GATE IN 2021 | 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 $p \bigodot q=\dfrac{p^{2}}{q}$; If $x\bigoplus y=2\bigodot 2$, then $x=$ $\frac{y}{2}$ $y$ $\frac{3y}{2}$ $2y$

$\bigoplus$ 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...

Arjun

2.9k points

Arjun asked Feb 19, 2021

0 votes

0 answers

12

GATE IN 2021 | 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 $\text{R}$ cannot sit adjacent to each other. $\text{S}$ should be seated to the right of $\text{Q}$. The number of distinct seating arrangements possible is: $2$ $4$ $6$ $8$

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...

Arjun

2.9k points

Arjun asked Feb 19, 2021

0 votes

0 answers

13

GATE IN 2021 | 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 _______________ $36$ $45$ $72$ $108$

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 __...

Arjun

2.9k points

Arjun asked Feb 19, 2021

0 votes

0 answers

14

GATE IN 2021 | GA Question: 9
A function, $\lambda$, is defined by $\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2} , & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{matrix}\right.$ The value of the expression $\dfrac{\lambda \left ( -\left (- 3+2 \right ),\left ( -2+3 \right ) \right )}{\left ( -\left ( -2+1 \right ) \right )}$ is: $-1$ $0$ $\frac{16}{3}$ $16$

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{...

Arjun

2.9k points

Arjun asked Feb 19, 2021

0 votes

0 answers

15

GATE2020: GA: 5
Define $[x]$ as the greatest integer less than or equal to $x$, for each $x \; \in \; [-\infty,\infty]$. If $y=[x],$ then area under $y$ for $x \; \in \; [1,4]$ is ____________. $1$ $3$ $4$ $6$

Define $[x]$ as the greatest integer less than or equal to $x$, for each $x \; \in \; [-\infty,\infty]$. If $y=[x],$ then area under $y$ for $x \; \in \; [1,4]$ is _____...

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 3, 2020

0 votes

0 answers

16

GATE2020: GA: 8
The sum of the first $n$ terms in the sequence $\text{8, 88, 888, 8888,$\dots$}$ is __________. $\frac{81}{80}(10^n-1)+\frac{9}{8}n$ $\frac{81}{80}(10^n-1)-\frac{9}{8}n$ $\frac{80}{81}(10^n-1)+\frac{8}{9}n$ $\frac{80}{81}(10^n-1)-\frac{8}{9}n$

The sum of the first $n$ terms in the sequence $\text{8, 88, 888, 8888,$\dots$}$ is __________.$\frac{81}{80}(10^n-1)+\frac{9}{8}n$$\frac{81}{80}(10^n-1)-\frac{9}{8}n$$\f...

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 3, 2020

0 votes

0 answers

17

GATE2020: GA: 9
Select the graph that schematically represents $\text{BOTH} \;y=x^m$ and $y=x^{1/m}$ properly in the interval $0\leq x\leq 1$, for integer values of $m$, where $m>1$.

Select the graph that schematically represents $\text{BOTH} \;y=x^m$ and $y=x^{1/m}$ properly in the interval $0\leq x\leq 1$, for integer values of $m$, where $m>1$.

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 3, 2020

0 votes

0 answers

18

GATE2020: GA: 10
The bar graph shows the data of the students who appeared and passes in an examination for four schools $\text{P, Q, R and S.}$ The average of success rates (in percentage) of these four schools is _________. $58.5\%$ $58.8\%$ $59.0\%$ $59.3\%$

The bar graph shows the data of the students who appeared and passes in an examination for four schools $\text{P, Q, R and S.}$ The average of success rates (in percentag...

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 3, 2020

0 votes

0 answers

19

GATE2017: 59
What is the value of $x$ when $81\times\left(\frac{16}{25}\right)^{x+2}\div\left(\frac{3}{5}\right)^{2x+4}=144$ ? $1$ $-1$ $-2$ Cannot be determined

What is the value of $x$ when $81\times\left(\frac{16}{25}\right)^{x+2}\div\left(\frac{3}{5}\right)^{2x+4}=144$ ?$1$$-1$$-2$Cannot be determined

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 2, 2020

0 votes

0 answers

20

GATE2017: 60
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 $\frac{1}{9}$ $\frac{2}{9}$ $\frac{1}{3}$ $\frac{4}{9}$

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$\frac{1}{9}$$\frac{2}{9}...

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 2, 2020

0 votes

0 answers

21

GATE2017: 64
Budhan covers a distance of $\text{19 km}$ 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 time and walks the rest (at the same speed as before) and covers $\text{26 km}$ in $2$ hours. The speed in $\text{km/h}$ at which Budhan walks is $1$ $4$ $5$ $6$

Budhan covers a distance of $\text{19 km}$ 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 h...

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 2, 2020

0 votes

0 answers

22

GATE2017: 65
The points in the graph below represent the halts of a lift for durations of $1$ minute, over a period of $1$ hour. Which of the following statements are correct? The elevator never moves directly from any non-ground floor to another non-ground floor over the one hour period The elevator stays on the fourth floor for the longest duration over the one hour period Only i Only ii Both i and ii Neither i nor ii

The points in the graph below represent the halts of a lift for durations of $1$ minute, over a period of $1$ hour.Which of the following statements are correct?The eleva...

soujanyareddy13

2.7k points

soujanyareddy13 asked Nov 2, 2020

0 votes

0 answers

23

GATE2019 IN: GA-3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________. $17.1$ $21.0$ $33.1$ $72.8$

The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________.$17.1$$21.0$$33.1$$72.8$

Arjun

2.9k points

Arjun asked Feb 10, 2019

0 votes

0 answers

24

GATE2019 IN: GA-7
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country? $10.50$ $14.70$ $15.00$ $50.00$

In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, on...

Arjun

2.9k points

Arjun asked Feb 10, 2019

0 votes

0 answers

25

GATE2019 IN: GA-9
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The time at which they were $540$ km apart is ________ AM. $9$ $10$ $11$ $11.30$

two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The ...

Arjun

2.9k points

Arjun asked Feb 10, 2019

0 votes

0 answers

26

GATE2016-GA-5
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120$ m and that of the second train is $150$ m. The magnitude of the difference in the speeds of the two trains (in m/s) is _________ $2.0$ $10.0$ $12.0$ $22.0$

It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 26, 2018

0 votes

0 answers

27

GATE2016-GA-6
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will the odometer reading increase by (in m)? $0$ $3$ $4$ $5$

The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will ...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 26, 2018

0 votes

0 answers

28

GATE2016-GA-9
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant. $14.95$ $15.25$ $15.70$ $20.35$

Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant.$14.95$$15.25$$15.70$$20.35$

Milicevic3306

7.9k points

Milicevic3306 asked Mar 26, 2018

0 votes

0 answers

29

GATE2016-GA-10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $x=5$ from the fit? $-0.030$ $-0.014$ $0.014$ $0.030$

A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 26, 2018

0 votes

0 answers

30

GATE2015-5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches? $20$ $10$ $8$ $5$

Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to c...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 26, 2018

0 votes

0 answers

31

GATE2015-8
In the given figure angle $Q$ is a right angle, $PS:QS=3:1, RT:QT=5:2$ and $PU:UR=1:1$. If area of triangle $QTS$ is $20\; cm^2$, then the area of triangle $PQR$ in $cm^2$ is $\_\_\_\_\_\_\_\_\_\_\_.$

In the given figure angle $Q$ is a right angle, $PS:QS=3:1, RT:QT=5:2$ and $PU:UR=1:1$. If area of triangle $QTS$ is $20\; cm^2$, then the area of triangle $PQR$ in $cm^2...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 26, 2018

0 votes

0 answers

32

GATE2015-9
Right triangle $PQR$ is to be constructed in the xy-plane so that the right angle is at $P$ and line $PR$ is parallel to the x-axis. The $x$ and $y$ coordinates of $P, Q$ and $R$ are to be integers that satisfy the inequalities: $-4\leq x\leq 5$ and $6\leq y\leq 16$. How many different triangles could be constructed with these properties? $110$ $1,100$ $9,900$ $10,000$

Right triangle $PQR$ is to be constructed in the xy-plane so that the right angle is at $P$ and line $PR$ is parallel to the x-axis. The $x$ and $y$ coordinates of $P, Q$...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 26, 2018

0 votes

0 answers

33

GATE2015-10
A coin is tossed thrice. Let $X$ be the event that head occurs in each of the first two tosses. Let $Y$ be the event that a tail occurs on the third toss. Let $Z$ be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is $TRUE$? $X$ and $Y$ are not independent $Y$ and $Z$ are dependent $Y$ and $Z$ are independent $X$ and $Z$ are independent

A coin is tossed thrice. Let $X$ be the event that head occurs in each of the first two tosses. Let $Y$ be the event that a tail occurs on the third toss. Let $Z$ be the ...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 26, 2018

0 votes

0 answers

34

GATE2014-GA-4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$.The average time between successive occurrences of such earthquakes is ______years.

In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$.The average time between successive occurrence...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 25, 2018

0 votes

0 answers

35

GATE2014-GA-5
The population of a new city is $5$ million and is growing at $20\%$ annually. How many years would it take to double at its growth rate? $3-4$ years $4-5$ years $5-6$ years $6-7$ years

The population of a new city is $5$ million and is growing at $20\%$ annually. How many years would it take to double at its growth rate?$3-4$ years$4-5$ years$5-6$ years...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 25, 2018

0 votes

0 answers

36

GATE2014-GA-8
The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of ... through export of Item $1$ per kilogram to the revenue generated through export of Item $4$ per kilogram? $1:2$ $2:1$ $1:4$ $4:1$

The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percent...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 25, 2018

0 votes

0 answers

37

GATE2014-GA-10
$10\%$ of the population in a town is $HIV^+$. A new diagnostic kit for $HIV$ detection is available; this kit correctly identifies $HIV^+$ individuals $95\%$ of the time, and $HIV^-$ individuals $89\%$ of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is ________.

$10\%$ of the population in a town is $HIV^+$. A new diagnostic kit for $HIV$ detection is available; this kit correctly identifies $HIV^+$ individuals $95\%$ of the time...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 25, 2018

0 votes

0 answers

38

GATE2013-61
Find the sum to $n$ terms of the series $10+84+734+….$ $\frac{9(9^n+1)}{10}+1$ $\frac{9(9^n-1)}{8}+1$ $\frac{9(9^n-1)}{8}+n$ $\frac{9(9^n-1)}{8}+n^2$

Find the sum to $n$ terms of the series $10+84+734+….$$\frac{9(9^n+1)}{10}+1$$\frac{9(9^n-1)}{8}+1$$\frac{9(9^n-1)}{8}+n$$\frac{9(9^n-1)}{8}+n^2$

Milicevic3306

7.9k points

Milicevic3306 asked Mar 25, 2018

0 votes

0 answers

39

GATE2013-60
In the summer of $2012$, in New Delhi, the mean temperature of Monday to Wednesday was $41^\circ\text{C}$ and of Tuesday to Thursday was $43^\circ\text{C}$. If the temperature on Thursday was $15$% higher than that of Monday, then the temperature in $^\circ\text{C}$ on Thursday was $40$ $43$ $46$ $49$

In the summer of $2012$, in New Delhi, the mean temperature of Monday to Wednesday was $41^\circ\text{C}$ and of Tuesday to Thursday was $43^\circ\text{C}$. If the temper...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 25, 2018

0 votes

0 answers

40

GATE2013-62
The set of values of $\text{p}$ for which the roots of the equation $3\text{x}^2+2\text{x}+\text{p}\text{(p-1)}=0$ are of opposite sign is $(-\infty,\;0)$ $(0,\;1)$ $(1,\;\infty)$ $(0,\;\infty)$

The set of values of $\text{p}$ for which the roots of the equation $3\text{x}^2+2\text{x}+\text{p}\text{(p-1)}=0$ are of opposite sign is $(-\infty,\;0)$$(0,\;1)$$(1,\;\...

Milicevic3306

7.9k points

Milicevic3306 asked Mar 25, 2018