# Recent questions in Unknown Category 1 vote
1
Arun and Aparna are here. Arun and Aparna is here. Arun’s families is here. Arun’s family is here. Which of the above sentences are grammatically $\text{CORRECT}$? $\text{(i) and (ii)}$ $\text{(i) and (iv)}$ $\text{(ii) and (iv)}$ $\text{(iii) and (iv)}$
1 vote
2
Two identical cube shaped dice each with faces numbered $1$ to $6$ are rolled simultaneously. The probability that an even number is rolled out on each dice is: $\frac{1}{36}$ $\frac{1}{12}$ $\frac{1}{8}$ $\frac{1}{4}$
1 vote
3
$\oplus$ and $\odot$ are two operators on numbers $p$ and $q$ such that $p \odot q = p-q,$ and $p \oplus q = p\times q$ Then, $\left ( 9\odot \left ( 6\oplus 7 \right ) \right )\odot \left ( 7\oplus \left ( 6 \odot 5 \right ) \right )=$ $40$ $-26$ $-33$ $-40$
1 vote
4
Four persons $P, Q, R$ and $S$ are to be seated in a row. $R$ should not be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is: $6$ $9$ $18$ $24$
1 vote
5
On a planar field, you travelled $3$ units East from a point $O$. Next you travelled $4$ units South to arrive at point $P$. Then you travelled from $P$ in the North-East direction such that you arrive at a point that is $6$ units East of point $O$. Next, you travelled in ... North of point $P$. The distance of point $Q$ to point $O$, in the same units, should be ______________ $3$ $4$ $5$ $6$
1 vote
6
The author said, "Musicians rehearse before their concerts. Actors rehearse their roles before the opening of a new play. On the other hand, I find it strange that many public speakers think they can just walk onto the stage and start speaking. In my ... is more important only for musicians than public speakers The author is of the opinion that rehearsal is more important for actors than musicians
1 vote
7
Some football players play cricket. All cricket players play hockey. Among the options given below, the statement that logically follows from the two statements $1$ and $2$ above, is : No football player plays hockey Some football players play hockey All football players play hockey All hockey players play football
1 vote
8
In the figure shown above, $\text{PQRS}$ is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at $S$ and $Q$. The probability that any point picked randomly within the square falls in the shaded area is ____________ $4-\frac{\pi }{2}$ $\frac{1}{2}$ $\frac{\pi }{2}-1$ $\frac{\pi }{4}$
1 vote
9
In an equilateral triangle $\text{PQR}$, side $\text{PQ}$ is divided into four equal parts, side $\text{QR}$ is divided into six equal parts and side $\text{PR}$ is divided into eight equals parts. The length of each subdivided part in $\text{cm}$ is an integer. The minimum area of the triangle $\text{PQR}$ possible, in $\text{cm}^{2}$, is $18$ $24$ $48\sqrt{3}$ $144 \sqrt{3}$
1 vote
10
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: $2$ $3$ $4$ $5$
1 vote
11
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 ... $\text{(i) and (iii)}$ $\text{(ii) and (iii)}$ $\text{(ii) and (iv)}$
1 vote
12
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 ____ $\text{10.08 AM}$ $\text{10.42 AM}$ $\text{11.00 AM}$ $\text{10.00 PM}$
1 vote
13
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 : $0$ $1$ $4$ $16$
1 vote
14
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
1 vote
15
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
1 vote
16
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 _____ $\frac{3}{16}$ $\frac{45}{236}$ $\frac{1}{4}$ $\frac{3}{4}$
1 vote
17
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$
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 _________ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$ $\frac{1}{32}$
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 $\text{CORRECT}$? $\text{(i) and (ii)}$ $\text{(i) and (iii)}$ $\text{(iii) and (iv)}$ $\text{(ii) and (iv)}$