Recent questions and answers in Numerical Ability - GATE CSE Doubts

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General Aptitude Self doubt
Consider a Circle with 100 points numbered 1,2,3,4, ..,99,100. Now their is a tortoise at point numbered 1 and a hare at point numbered 2 and both can only move in clockwise direction only on numbered points. Tortoise can move one point at time for ... until they meet at some point. Now find the point at which they meet or if they cannot meet at some point tell why??

asked 4 days ago in Numerical Ability by BHASHKAR (44 points) | 11 views

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Set and venn diagram

asked Jun 16 in Numerical Ability by Rajeevkr (13 points) | 4 views

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Self Doubt - A $200 \times 200$ $cm^2$ area is to be scanned by a $20 \times 20$ $cm^2$ flashlight.

asked May 7 in Numerical Ability by toxicdesire (305 points) | 10 views

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TOMATO + Polynomials Q286

answered Apr 24 in Numerical Ability by Sourajit25 (9 points) | 15 views

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Self Doubt #Clocks-and-calendars
On a particular day if it is found that a clock is shoing 10 minutes less at 1:00 pm and 5 min more at 6:00 pm on the same day. At what time did the clock show the correct time? 3 hr 20 min 4 hr 20 min 5 hr 40 min 6 hr 40 min

answered Apr 23 in Numerical Ability by Animesh Sinha (15 points) | 27 views

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GATE2010-65 Video Solution
Given digits$ 2, 2, 3, 3, 3, 4, 4, 4, 4$ how many distinct $4$ digit numbers greater than $3000$ can be formed? $50$ $51$ $52$ $54$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2016-1-GA10 Video Solution
In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of $80$ units, it takes $100$ cycles for failure. When the load is halved, it takes $10000 \ \text{cycles}$ for failure.The load for which the failure will happen in $5000 \ \text{cycles}$ is _____________. $40.00$ $46.02$ $60.01$ $92.02$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2012 CY: GA-7 Video Solution
$A$ and $B$ are friends. They decide to meet between 1:00 pm and 2:00 pm on a given day. There is a condition that whoever arrives first will not wait for the other for more than $15$ minutes. The probability that they will meet on that day is $1/4$ $1/16$ $7/16$ $9/16$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 2 views

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GATE2015-1-GA-10 Video Solution
The probabilities that a student passes in mathematics, physics and chemistry are $m,p$ and $c$ respectively. Of these subjects, the student has $75\%$ chance of passing in at least one, a $50\%$ chance of passing in at least two and a $40\%$ ... Only relation I is true. Only relation II is true. Relations II and III are true. Relations I and III are true.

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2017-2-GA-9 Video Solution
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5,5]$ is $0$ $1$ $2$ $3$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 4 views

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GATE2018-GA-10 Video Solution
A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment? Three green faces and four red faces. Four green faces and three red faces. Five green faces and two red faces. Six green faces and one red face

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2015-2-GA-7 Video Solution
Four branches of a company are located at $M$, $N$, $O$ and $P$. $M$ is north of $N$ at a distance of $4 km$; $P$ is south of $O$ at a distance of $2$ $km$; $N$ is southeast of O by $1 km$. What is the distance between $M$ and $P$ in $km$? $5.34$ $6.74$ $28.5$ $45.49$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 2 views

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GATE2016-1-GA05 Video Solution
A cube is built using $64$ cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is ________. $56$ $64$ $72$ $96$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 3 views

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GATE2015-2-GA-8 Video Solution
In a triangle $PQR, PS$ is the angle bisector of $\angle QPR \text{ and } \angle QPS =60^\circ$. What is the length of $PS$ ? $\left(\dfrac{(q+r)} {qr}\right)$ $\left(\dfrac {qr} {q+r}\right)$ $\large \sqrt {(q^2 + r^2)}$ $\left(\dfrac{(q+r)^2} {qr}\right)$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 2 views

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GATE2017-2-GA-8 Video Solution
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^3$ will have $90$ digits $91$ digits $92$ digits $93$ digits

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2017-1-GA-9 Video Solution
Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes? $21$ $18$ $16$ $14$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 3 views

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GATE2017-2-GA-5 Video Solution
There are $3$ red socks, $4$ green socks and $3$ blue socks.You choose $2$ socks. The probability that they are of the same colour is $\dfrac{1}{5}$ $\dfrac{7}{30}$ $\dfrac{1}{4}$ $\dfrac{4}{15}$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2018-GA-9 Video Solution
In the figure below, $\angle DEC + \angle BFC$ is equal to _____ $\angle BCD - \angle BAD$ $\angle BAD + \angle BCF$ $\angle BAD + \angle BCD$ $\angle CBA + \angle ADC$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2019-GA-7 Video Solution
In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number of the people, the percentage of administrators shall be in the range of _______ $0$ to $15$ $16$ to $30$ $31$ to $45$ $46$ to $60$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2010-62 Video Solution
Hari(H), Gita(G), Irfan(I) and Saira(S) are siblings (i.e., brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than three years. Given the following facts: ... is not the youngest. There are no twins. In what order they were born (oldest first)? $HSIG$ $SGHI$ $IGSH$ $IHSG$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 2 views

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GATE2017-2-GA-7 Video Solution
There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labeled. If you are permitted to open just one box and then pull out and inspect only ... three boxes? The box labeled Apples' The box labeled Apples and Oranges' The box labeled Oranges' Cannot be determined

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2016-2-GA-09 Video Solution
In a $2 \times 4$ rectangle grid shown below, each cell is rectangle. How many rectangles can be observed in the grid? $\begin{array}{|c|c|c|c|c|}\hline{\;\;\;}&{\;\;\;}&{\;\;\;}&{\;\;\;}\\\hline{}&{}&{}&\\\hline\end{array}$ $21$ $27$ $30$ $36$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2019-GA-9 Video Solution
In a college, there are three student clubs, $60$ students are only in the Drama club, $80$ students are only in the Dance club, $30$ students are only in Maths club, $40$ students are in both Drama and Dance clubs, $12$ students are in both Dance and ... are not in any of these clubs, then the total number of students in the college is _____. $1000$ $975$ $900$ $225$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2017-1-GA-10 Video Solution
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ m intervals in this plot. If in a flood, the water level rises to $525$ m, which of the villages $P, Q, R, S, T$ get submerged? $P, Q$ $P, Q, T$ $R, S, T$ $Q, R, S$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2011-64 Video Solution
A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses $7$ trucks, then at the end of the $4^{th}$ day he can clear all the orders. Alternatively, if he uses only $3$ trucks, then all ... of trucks required so that there will be no pending order at the end of $5^{th}$ day? $4$ $5$ $6$ $7$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2011-65 Video Solution
A container originally contains $10$ litres of pure spirit. From this container, $1$ litre of spirit replaced with $1$ litre of water. Subsequently, $1$ litre of the mixture is again replaced with $1$ litre of water and this process is repeated one more time. How much spirit is now left in the container? $7.58$ litres $7.84$ litres $7$ litres $7.29$ litres

asked Apr 19 in Numerical Ability by admin (3.6k points) | 2 views

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GATE2017-1-GA-5 Video Solution
The probability that a $k$-digit number does NOT contain the digits $0, 5,$ or $9$ is $0.3^{k}$ $0.6^{k}$ $0.7^{k}$ $0.9^{k}$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 2 views

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GATE2017-2-GA-10 Video Solution
An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Contour lines are shown at $0.05$ bar intervals in this plot. If the possibility of a ... over a region, which of the following regions is most likely to have a thunderstorm? $P$ $Q$ $R$ $S$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 2 views

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GATE2010-61 Video Solution
If $137 + 276 = 435$ how much is $731+672?$ $534$ $1403$ $1623$ $1513$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 3 views

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GATE2014-1-GA-5 Video Solution
The roots of $ax^{2}+bx+c = 0$ are real and positive. $a, b$ and $c$ are real. Then $ax^{2}+b\mid x \mid + c =0$ has no roots $2$ real roots $3$ real roots $4$ real roots

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2018-GA-6 Video Solution
In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift $Rs\; 750$ to each male senior citizen in the town and $Rs\; 1000$ to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. ... Rupees) did the philanthropist give away in total? $1,50,000$ $2,00,000$ $1,75,000$ $1,51,000$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 3 views

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GATE2017-1-GA-7 Video Solution
Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is $2$ $3$ $4$ Cannot be determined

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2019-GA-3 Video Solution
Two cars at the same time from the same location and go in the same direction. The speed of the first car is $50$ km/h and the speed of the second car is $60$ km/h. The number of hours it takes for the distance between the two cars to be $20$ km is _____. $1$ $2$ $3$ $6$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2017-1-GA-8 Video Solution
The expression $\large \frac{(x+y) - |x-y|}{2}$ is equal to : The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2014-1-GA-10 Video Solution
When a point inside of a tetrahedron (a solid with four triangular surfaces) is connected by straight lines to its corners, how many (new) internal planes are created with these lines?

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2013-65 Video Solution
The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current period, then the new cost of erection in Rs. is 16,500 15,180 11,000 10,120

asked Apr 19 in Numerical Ability by admin (3.6k points) | 7 views

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GATE2014-2-GA-10 Video Solution
At what time between $6$ a. m. and $7$ a. m. will the minute hand and hour hand of a clock make an angle closest to $60°$? $6: 22$ a.m. $6: 27$ a.m. $6: 38$ a.m. $6: 45$ a.m.

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2016-2-GA-06 Video Solution
Among $150$ faculty members in an institute, $55$ are connected with each other through Facebook and $85$ are connected through Whatsapp. $30$ faculty members do not have Facebook or Whatsapp accounts. The numbers of faculty members connected only through Facebook accounts is _______. $35$ $45$ $65$ $90$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2012 CY: GA-9 Video Solution
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is $2$ $3$ $4$ $8$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 1 view

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GATE2011-62 Video Solution
$P, Q, R$ and $S$ are four types of dangerous microbes recently found in a human habitat. The area of each circle with its diameter printed in brackets represents the growth of a single microbe surviving human immunity system within $24$ hours of entering ... against the most dangerous microbe. Which microbe should the company target in its first attempt? $P$ $Q$ $R$ $S$

asked Apr 19 in Numerical Ability by admin (3.6k points) | 2 views

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