# Recent questions and answers in General Aptitude

1
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
1 vote
2
If $2a+3b+c=0$, then at least one root of the equation $ax^2+bx+c=0$, lies in the interval: $(0,1)$ $(1,2)$ $(2,3)$ $(1,3)$
3
A circular sheet of paper is folded along the lines in the directions shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like _______.
4
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 Re. $1$, 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 _________. $4:3$ $1:1$ $3:4$ $1:2$
5
Consider the following bar chart: Which of the following are true? Number of students who scored $A$ in Algebra is higher than the number of students who scored $A$ in Calculus Percentage of students who scored $A$ or $B$ in algebra is lower than the percentage of ... or $B$ in calculus Calculus is easier than algebra Considering this data, the average percentage of students scoring $A$ is $12\%$
6
A construction company ready to finish a construction work in $180$ days, hired $80$ workers each working $8$ hours daily. After $90$ days, only $2/7$ of the work was completed. How many workers are to be increased to complete the work on time? Note: If additionally acquired workers do agree to work for $10$ hours daily. $90$ workers $80$ workers $65$ workers $85$ workers
1 vote
7
A software engineer has the capability of thinking $200$ lines of code in five minutes and can type $200$ lines of code in $10$ minutes. He takes a break for five minutes after every $10$ minutes. How many lines of code will he complete typing after an hour? $200$ $300$ $400$ $500$
8
Gauri said that she can play the keyboard __________ her sister. as well as as better as as nicest as as worse as
9
The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in $2009$, by what percent did the number of male students increase in $2009$?
10
If $x,y,z$ are in $A.P.$ and $a>1$, then $a^x, a^y, a^z$ are in $A.P.$ $G.P$ $H.P$ none of these
1 vote
11
A contiguous part, i.e., a set of adjacent sheets, is missing from Tharoor's GRE preparation book. The number on the first missing page is $183$, and it is known that the number on the last missing page has the same three digits, but in a different order. Note that every sheet ... one at the front and one at the back. How many pages are missing from Tharoor's book? $45$ $135$ $136$ $198$ $450$
12
If $3 \leq X \leq 5$ and $8 \leq Y \leq 11$ then which of the following options is TRUE? $\left(\dfrac{3}{5} \leq \dfrac{X}{Y} \leq \dfrac{8}{5}\right)$ $\left(\dfrac{3}{11} \leq \dfrac{X}{Y} \leq \dfrac{5}{8}\right)$ $\left(\dfrac{3}{11} \leq \dfrac{X}{Y} \leq \dfrac{8}{5}\right)$ $\left(\dfrac{3}{5} \leq \dfrac{X}{Y} \leq \dfrac{8}{11}\right)$
13
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$ $\text{Statement 1:}$ All bacteria are microorganisms. $\text{Statement 2:}$ All pathogens are microorganisms. $\text{Conclusion I:}$ ... is correct Either conclusion $\text{I}$ or $\text{II}$ is correct Neither conclusion $\text{I}$ nor $\text{II}$ is correct
14
The number of trailing zeros in $100!$ is $21$ $23$ $24$ $25$
15
​​​​​​If $\left( x – \dfrac{1}{2} \right)^2 – \left( x- \dfrac{3}{2} \right) ^2 = x+2$, then the value of $x$ is: $2$ $4$ $6$ $8$
1 vote
16
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: $22$ $66$ $88$ $110$
1 vote
17
Listening to music during exercise improves performance and reduces discomfort. Scientists researched whether listening to music while studying can help students learn better and the results were inconclusive. Students who needed external stimulation for studying fared worse while ... clear positive effect on learning in all students. Music has a positive effect only in some students who exercise
18
$\text{Pen : Write :: Knife :}$ _______ Which one of the following options maintains a similar logical relation in the above? Vegetables Sharp Cut Blunt
1 vote
19
Consider the following sentences: Everybody in the class is prepared for the exam. Babu invited Danish to his home because he enjoys playing chess. Which of the following is the $\text{CORRECT}$ observation about the above two sentences? $\text{(i)}$ is grammatically correct and ... correct and $\text{(ii)}$ is ambiguous $\text{(i)}$ is grammatically incorrect and $\text{(ii)}$ is ambiguous
20
A jigsaw puzzle has $2$ pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.
1 vote
21
Six students $\text{P, Q, R, S, T and U}$, with distinct heights, compare their heights and make the following observations. $\text{Observation I}$: $\text{S}$ is taller than $\text{R}$. $\text{Observation II}$: $\text{Q}$ is the shortest of all. $\text{Observation III}$: ... $\text{R}$ is the same as the number of students shorter than ____________. $\text{T}$ $\text{R}$ $\text{S}$ $\text{P}$
22
If $\theta$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, $\cos \theta =$ $\frac{1}{2} \\$ $\frac{1}{\sqrt{3}} \\$ $\frac{1}{\sqrt{2}} \\$ $\frac{\sqrt{3}}{2}$
23
​​​​ A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ___________.
1 vote
24
Some people suggest anti-obesity measures $\text{(AOM)}$ such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems that cause obesity: poverty and income inequality. Which one of the following statements summarizes the ... $\text{AOM}$ are addressing the problem superficially
1 vote
25
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 vote
26
$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit %} & \textbf{Marked Price} \\ & (₹) & & (₹) \\\hline P &5,400 &---&5,860\\\hline Q&---&25&10,000\\\hline\end{array}$ Details of prices of two items $P$ and $Q$ are presented in ... $Q$, as a percentage of its marked price, is _______ $25$ $12.5$ $10$ $5$
27
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $\text{6 cm$\times$1 cm}$ each. Sheet $M$ is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet $N$ is cut into equal square patches and assembled to form the largest possible closed ... of the cylinder to that of the cube is _________. $\frac{\pi}{2}$ $\frac{3}{\pi}$ $\frac{9}{\pi}$ $3\pi$
1 vote
28
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: $21$ $37$ $50$ $73$
29
A polygon is convex if, for every pair of points, $P$ and $Q$ belonging to the polygon, the line segment $\text{PQ}$ lies completely inside or on the polygon. Which one of the following is $\underline{\text{NOT}}$ a convex polygon?
1 vote
30
___________ is to surgery as writer is to ___________ Which one of the following options maintains a similar logical relation in the above sentence? Plan, outline Hospital, library Doctor, book Medicine, grammar
31
The following graph shows the performance of students in an exam. The marks scored by every student are a multiple of five. The $j^{th}$-percentile $u^*$ for a discrete data $x_1,x_2, ,x_n$ ... presented in the graph, answer the following questions. Compute the $10^{th}$ percentile of marks. Is the median score higher than the mean score?
32
In the figure shown below, the circle has diameter $5$. Moreover, $AB$ is parallel to $DE.$ If $DE=3$ and $AB=6,$ what is the area of triangle $ABC?$
33
A multi-national conglomerate sells soap products for five different market segments, namely (i) Women, (ii) Men, (iii) Kids, (iv) Sports, and (v) Luxury. The sales of these five segments (in lakh number of packs) during $2012$ and $2017$ are shown in the ... than the sales of the Men segment in $2017$? During the period $2012-2017$, which segment experienced the minimum rate of increase in sales?
1 vote
34
What is the total number of ways to reach from $A$ to $B$ in the network given? $12$ $16$ $20$ $22$
35
What is the radix of the numbers if the solution to the quadratic equation $x^2-10x+26=0$ is $x=4$ and $x=7$? $8$ $9$ $10$ $11$
36
Given below are two statements: Statement $I$: $5$ divides $n^5-n$ wherever $n$ is a nonnegative integer Statement $II$: $6$ divides $n^3-n$ whenever $n$ is a nonnegative integer In the light of the above statements, choose the correct answer from the ... Statement $II$ are incorrect Statement $I$ is correct but Statement $II$ is incorrect Statement $I$ is incorrect but Statement $II$ is correct
The disaster team was asked to $\underline{\text{restrain}}$ the residents until the snake was caught. The underlined word is closest in meaning to: imprison frustrate disdain confine
$\_\_\_\_\_\_$ I not informed you on time, you would have missed the opportunity. But Have Had Has
The Prime Minister does not approve $\_\_\_\_\_\_$ the views expressed by the official. of at for on