# Recent questions and answers in Numerical Ability

1 answer 4 views
The area of the rectangle increases by 7 sq. units when its breadth alone is increased by 1 unit. Its area increases by 5 sq. unit when its length alone is increased by 1 unit. Find the perimeter of the original rectangle. 17 units 18 units 24 units 36 units
1 answer 21 views
A bag contains 1 rupee, 50 paise and 25 paise coins. The value of 1 rupee, 50 paise and 25 paise coins are in the ratio of 5 : 2 : 3 respectively. If total number of coins is 420, then what will be the total value of all coins? Rs. 160 Rs. 180 Rs. 220 Rs. 200
1 vote
1 answer 36 views
The greatest number that divides 215,167 and 135 so as to leave the same remainder in each case What is the approach to solve such questions #gate2022
1 vote
1 answer 908 views
If $\theta$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, $\cos \theta =$ $\frac{1}{2} \\$ $\frac{1}{\sqrt{3}} \\$ $\frac{1}{\sqrt{2}} \\$ $\frac{\sqrt{3}}{2}$
3 answers 557 views
​​​​​​If $\left( x – \dfrac{1}{2} \right)^2 – \left( x- \dfrac{3}{2} \right) ^2 = x+2$, then the value of $x$ is: $2$ $4$ $6$ $8$
2 answers 966 views
The number of students in three classes is in the ratio $3:13:6$. If $18$ students are added to each class, the ratio changes to $15:35:21$. The total number of students in all the three classes in the beginning was: $22$ $66$ $88$ $110$
2 answers 671 views
The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year $3$ was $₹\;1$, which was half the cost/unit in Year $2$. The cost/unit in Year $3$ was one-third of the cost/unit in Year $1$. ... The ratio of the selling price in Year $2$ to the selling price in Year $3$ is _________. $4:3$ $1:1$ $3:4$ $1:2$
1 answer 1.3K views
​​​​​​The ratio of boys to girls in a class is $7$ to $3$. Among the options below, an acceptable value for the total number of students in the class is: $21$ $37$ $50$ $73$
1 answer 516 views
We have $2$ rectangular sheets of paper, $\text{M}$ and $\text{N}$, of dimensions $\text{6 cm$\times$1 cm}$ each. Sheet $\text{M}$ is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet $\text{N}$ is cut into equal square patches and assembled ... volume of the cylinder to that of the cube is _________. $\frac{\pi}{2}$ $\frac{3}{\pi}$ $\frac{9}{\pi}$ $3\pi$
1 answer 414 views
$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit %} & \textbf{Marked Price} \\ & (₹) & & (₹) \\\hline P &5,400 &---&5,860\\\hline Q&---&25&10,000\\\hline\end{array}$ Details of prices of two items $P$ and $Q$ are presented in ... $Q$, as a percentage of its marked price, is _______ $25$ $12.5$ $10$ $5$
1 answer 1.2K views
There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are identical is __________ $0.3024$ $0.4235$ $0.6976$ $0.8125$
1 answer 24 views
The GDP in Rupees grew at 7% during 2012-13.For international comparison, the GDP is compared in US Dollars after conversion based on the market exchange rate. During the period 2012-13 the ₹ 50aUSD to ₹ 60USD. India's GDP in USD during the period 2012-13 a- increased by 5% b- decreased by 13% c- decreased by 20% d- decreased by 11%
1 vote
1 answer 19 views
How many odd numbers of four digits having distinct digits can be formed with the digits 0,1,2,3,5,7 ?
1 answer 27 views
A team of 30 men is supposed to do a work in 37 days . After 25 days , 5 more men were employed and the work was finished 1 day earlier . How many days would it have been delayed if 5 more men were not employed?
0 answers 37 views
Finding the sum of the following series leads to two different answers with two different methods. The series is listed as: 1+2/3 + 4/9 + 6/27 + . (infinity) Method 1: Directly apply the formula--> Sum=a/(1-r), with a=1 and r=2/3. Here, we get the answer as sum=3. ... 9 + ...(infinity) . ..(2) Subtracting (1) from (2) and solving further, we will get S=2.5 Kindly tell which method is correct.
2 answers 36 views
This Question is from GATE 2013 General aptitude Paper, If |-2x+9|=3 then the possible value of |-X|-X^2 would be: a)30 (b)-30 (c)-42 (d) 42
1 answer 48 views
Which of the following number has odd number of divisors? 8762 9993 7568 1147 I tried calculating the numbers but it is very hard Can somehow virtual calculator be used? Is the problem in gate syllabus?
1 answer 31 views
If $\mid 4X-7 \mid =5$ then the values of $2\mid X\mid -\mid -X\mid$ is: $\quad 2,\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{2}\right),3$ $\left(\dfrac{3}{2}\right),9$ $\left(\dfrac{2}{3}\right),9$
1 answer 59 views
Round-trip tickets to a tourist destination are eligible for a discount of $10\%$ on the total fare. In addition, groups of $4$ or more get a discount of $5\%$ on the total fare. If the one way single person fare is $Rs$ $100$, a group of $5$ tourists purchasing round-trip tickets will be charged $Rs$ __________
1 answer 74 views
1 vote
2 answers 1.4K views
Look at this series : 25, 25, 37, 37, __, 51 , What number should fill the blank? (A) 51 (B) 39 (C) 23 (D) 25
1 answer 54 views
Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only ... the distance. By what factor should the hare increase its speed so as to tie the race? A. 37.8 B. 8 C. 40 D. 5
1 vote
1 answer 71 views
In an NGO study on the effect of sleep on call center workers, following were the observations made on a certain number of volunteers in the study. 75% of the volunteers receive fewer than 6 hours of sleep and report feeling tired during their shifts. At ... of the volunteers receive fewer than 6 hours of sleep, what percent of the volunteers report no feelings of tiredness during their shifts ?
1 answer 30 views
The minimum number of cables required to connect $8$ computers to $4$ printers to ensure that any $4$ computers can directly access $4$ different printers is __________ Ans given $20,$ I havenot got, how it could be?
2 answers 83 views
$\gcd(36,k)=6$, then what is the k? I know the only naive method,can anyone explain any other method.
1 vote
1 answer 67 views
A fast train leaves Chennai to Bengaluru and at the same point in time a slow train leaves from Bengaluru to Chennai. The fast train moves at a speed of $60\: km /hr$ and the slow train moves at half of the speed of the fast train. Both these ... fast train is further from Chennai The slow train is further from Chennai Both the trains are equidistant from Chennai None of the options is correct
1 answer 11.9K views
A clock is set right at 7 AM,and the clock loses 15 min in 24 hrs.what is the correct time when it shows 4PM.after 2 days?
1 answer 178 views
1 answer 67 views
A,B,C invests their shares are in the ratio 1/2:1/3:1/4. A withdraws half of his capital after 10 months. A profit of 378 is divided among them what is B's share?? While solving this problem how to convert fractional ratios into normal ratio??
1 answer 48 views
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 eg :- from 1 ... move like this until they meet at some point. Now find the point at which they meet or if they cannot meet at some point tell why??
0 answers 24 views
A $200 \times 200$ $cm^2$ area is to be scanned by a $20 \times 20$ $cm^2$ flashlight. The search starts from the top left corner, and scans from left to right. After each reading, the flashlight is moved to the right by $4$ $cm$. After reaching right end, the ... $1 \times 1$ $cm^2$ squares are scanned more than once, compared to the optimal solution where we scan $200 \times 200$ $cm^2$ squares?
1 answer 28 views
1 answer 61 views
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
0 answers 16 views
Given digits$2, 2, 3, 3, 3, 4, 4, 4, 4$ how many distinct $4$ digit numbers greater than $3000$ can be formed? $50$ $51$ $52$ $54$
0 answers 16 views
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 _____________. $40.00$ $46.02$ $60.01$ $92.02$
0 answers 12 views
$A$ 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 $1/4$ $1/16$ $7/16$ $9/16$
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 $40\%$ chance of passing in exactly ... Only relation I is true. Only relation II is true. Relations II and III are true. Relations I and III are true.
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5,5]$ is $0$ $1$ $2$ $3$
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 $km$? $5.34$ $6.74$ $28.5$ $45.49$