The world is going through the worst pandemic in the past hundred years. The air travel industry is facing a crisis, as the resulting quarantine requirement for travelers led to weak demand. In relation to the first sentence above, what does the ... the first sentence Second sentence entirely contradicts the first sentence The two statements are unrelated States an effect of the first sentence
Consider a square sheet of side $1$ unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, in square units, equal to _________ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$ $\frac{1}{32}$
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$
A box contains $15$ blue balls and $45$ black balls. If $2$ balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is _____ $\frac{3}{16}$ $\frac{45}{236}$ $\frac{1}{4}$ $\frac{3}{4}$
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$. $\text{Statement 1}:$ All entrepreneurs are wealthy. $\text{Statement 2}:$ All wealthy are risk seekers. $\text{Conclusion I}:$ ... $\text{I}$ nor $\text{II}$ is correct Both conclusions $\text{I}$ and $\text{II}$ are correct
The front door of $\text{Mr. X's}$ house faces East. $\text{Mr. X}$ leaves the house, walking $\text{50 m}$ straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another $\text{50 m}$ and ... The direction of the point $\text{Mr. X}$ is now located at with respect to the starting point is ____ South-East North-East West North-West
If $\bigoplus \div \bigodot =2;\: \bigoplus \div\Delta =3;\:\bigodot +\Delta =5; \:\Delta \times \bigotimes =10$, Then, the value of $\left ( \bigotimes - \bigoplus \right )^{2}$, is : $0$ $1$ $4$ $16$
A digital watch $\text{X}$ beeps every $30$ seconds while watch $\text{Y}$ beeps every $32$ seconds. They beeped together at $\text{10 AM}$. The immediate next time that they will beep together is ____ $\text{10.08 AM}$ $\text{10.42 AM}$ $\text{11.00 AM}$ $\text{10.00 PM}$
Consider the following sentences: The number of candidates who appear for the $\text{GATE}$ examination is staggering. A number of candidates from my class are appearing for the $\text{GATE}$ examination. The number of candidates who appear for the $\text{GATE}$ examination are staggering. A number of candidates ... $\text{(i) and (iii)}$ $\text{(ii) and (iii)}$ $\text{(ii) and (iv)}$
Five persons $\text{P, Q, R, S}$ and $\text{T}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{T}$ cannot be seated at either end of the row. $\text{P}$ should not be seated adjacent ... is to be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is: $2$ $3$ $4$ $5$
$\begin{array}{|c|c|} \hline \textbf{Company} & \textbf{Ratio} \\\hline C1 & 3:2 \\\hline C2 & 1:4 \\\hline C3 & 5:3 \\\hline C4 & 2:3 \\\hline C5 & 9:1 \\\hline C6 & 3:4 \\\hline\end{array}$ The distribution of employees at the rank ... $\textsf{C2}$ and $\textsf{C5}$ together is ________. $225$ $600$ $1900$ $2500$
The number of hens, ducks and goats in farm $P$ are $65,91$ and $169,$ respectively. The total number of hens, ducks and goats in a nearby farm $Q$ is $416.$ The ratio of hens : ducks : goats in farm $Q$ is $5:14:13.$ All the hens, ducks and goats are sent from farm $Q$ to farm $P.$ The new ratio of hens : ducks : goats in farm $P$ is ________ $5:7:13$ $5:14:13$ $10:21:26$ $21:10:26$
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.
Oxpeckers and rhinos manifest a symbiotic relationship in the wild. The oxpeckers warn the rhinos about approaching poachers, thus possibly saving the lives of the rhinos. Oxpeckers also feed on the parasitic ticks found on rhinos. In the symbiotic relationship described above ... a food source, rhinos may be saved from the poachers Oxpeckers save the lives of poachers, rhinos save their own lives
The increased consumption of leafy vegetables in the recent months is a clear indication that the people in the state have begun to lead a healthy lifestyle Which of the following can be logically inferred from the information presented in the above statement ... a diet with leafy vegetables The people in the state have increased awareness of healthy hazards causing by consumption of junk foods
If $\left\{\begin{matrix} “ \oplus” \; \text{means}\; “-” \\ “ \otimes” \; \text{means}\; “\div” \\ “ \triangle” \; \text{means}\; “+” \\ “ \triangledown” \; \text{means}\; “\times” \end{matrix}\right.$ then, the value of the expression $\triangle 2 \oplus 3 \triangle \left((4 \otimes 2) \triangledown 4) \right) =$ $-1$ $-0.5$ $6$ $7$
In the above figure, $\textsf{O}$ is the center of the circle and, $\textsf{M}$ and $\textsf{N}$ lie on the circle. The area of the right triangle $\textsf{MON}$ is $50\;\text{cm}^{2}$. What is the area of the circle in $\text{cm}^{2}?$ $2\pi$ $50\pi$ $75\pi$ $100\pi$
Ms. $X$ came out of a building through its front door to find her shadow due to the morning sun failing to her right side with the building to her back. From this, it can be inferred that building is facing _________ North East West South
Consider the following sentences: After his surgery, Raja hardly could walk. After his surgery, Raja could barely walk. After his surgery, Raja barely could walk. After his surgery, Raja could hardly walk. Which of the above sentences are grammatically $\text{CORRECT}$? $\text{(i) and (ii)}$ $\text{(i) and (iii)}$ $\text{(iii) and (iv)}$ $\text{(ii) and (iv)}$
1 vote
Five persons $\text{P, Q, R, S and T}$ are sitting in a row not necessarily in the same order. $Q$ and $R$ are separated by one person, and $S$ should not be seated adjacent to $Q.$ The number of distinct seating arrangements possible is: $4$ $8$ $10$ $16$
1 vote
An engineer measures THREE quantities, $X, Y$ and $Z$ in an experiment. She finds that they follow a relationship that is represented in the figure below$: ($the product of $X$ and $Y$ linearly varies with $Z)$ Then, which of the following statements is FALSE? For fixed $Z$; $X$ is ... to $Y$ For fixed $Y$; $X$ is proportional to $Z$ For fixed $X$; $Z$ is proportional to $Y$ $XY/Z$ is constant
1 vote
Select the graph that schematically represents BOTH $y=x^{m}\:\text{and}\:y=x^{1/m}$ properly in the interval $0\leq x \leq 1$, for integer values of $m,$ where $m > 1.$
1 vote
The two pie-charts given below show the data of total students and only girls registered in different streams in a university. If the total number of students registered in the university is $5000$, and the total number of the registered girls is $1500$; then, the ratio of boys enrolled in Arts to the girls enrolled in Management is ___________ $2:1$ $9:22$ $11:9$ $22:9$
1 vote
IT was estimated that $52$ men can complete a strip in a newly constructed highway connecting cities $P$ and $Q$ in $10$ days, Due to an emergency, $12$ men were sent to another project. How many number of days, more than the original estimate, will be required to complete the strip? $3$ days $5$ days $10$ days $13$ days
1 vote
Find the missing element in the following figure. $d$ $e$ $w$ $y$
1 vote
There are five levels $\{P, Q, R, S, T\}$ in a linear supply chain before a product reaches customers, as shown in the figure. At each of the five levels, the price of the product is increased by $25 \%$. If the product is produced at level $P$ at the cost of Rs. $120$ per unit, what is the price paid (in rupees) by the customers? $187.50$ $234.38$ $292.96$ $366.21$
1 vote
The bar graph shows the data of the students who appeared and passed in an examination for four schools $P, Q, R$, and $S$. The average of success rates $\text{(in percentage)}$ of these four schools is _______. $58.5\%$ $58.8\%$ $59.0\%$ $59.3\%$
Define $[x]$ as the greatest integer less than or equal to $x$, for each $x\in \left (- \infty, \infty \right ).$ If $y = [x]$, then area under $y$ for $x\in \left [ 1,4 \right ]$ is _______. $1$ $3$ $4$ $6$
The sum of the first $n$ terms in the sequence $8,\:88,\:888,\:8888,\dots$ is ________. $\dfrac{81}{80}\left ( 10^{n}-1 \right )+\dfrac{9}{8}n \\$ $\dfrac{81}{80}\left ( 10^{n}-1 \right )-\dfrac{9}{8}n \\$ $\dfrac{80}{81}\left ( 10^{n}-1 \right )+\dfrac{8}{9}n \\$ $\dfrac{80}{81}\left ( 10^{n}-1 \right )-\dfrac{8}{9}n$
$P, Q, R$ and $S$ are to be uniquely coded using $\alpha$ and $\beta$. If $P$ is coded as $\alpha \alpha$ and $Q$ as $\alpha \beta$ , then $R$ and $S$, respectively, can be coded as ________. $\beta \alpha \:\text{and}\:\alpha \beta$ $\beta \beta \:\text{and}\:\alpha \alpha$ $\alpha \beta\:\text{and}\:\beta \beta$ $\beta\alpha \:\text{and}\:\beta \beta$