3 3 answers
The line ran _________ the page, right through the centre, and divided the page into two. across of betweenabout
3 3 answers
Based only on the truth of the statement 'Some humans are intelligent', which one of the following options can be logically inferred with certainty?No human is intelligen...
3 3 answers
A duck named Donald Duck says "All ducks always lie."Based only on the information above, which one of the following statements can be logically inferred with certainty? ...
2 2 answers
If $x$ satisfies the equation $4^{8^{x}}=256$, then $x$ is equal to __________.$\frac{1}{2}$ $\log _{16} 8$$\frac{2}{3}$$\log _{4} 8$
3 3 answers
Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people....
3 3 answers
Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to...
4 4 answers
There are $4$ red, $5$ green, and 6 blue balls inside a box. If $N$ number of balls are picked simultaneously, what is the smallest value of $N$ that guarantees there wil...
5 5 answers
In how many ways can cells in a $3 \times 3 $ grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown. ...
2 2 answers
Kind : _________ :: Often : Seldom(By word meaning)CruelVarietyType Kindred
2 2 answers
Eject : Insert : : Advance : _________(By word meaning) Advent ProgressRetreat Loan
3 3 answers
"I have not yet decided what I will do this evening; I ______ visit a friend."mite wouldmight didn't
2 2 answers
In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated t...
2 2 answers
Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eati...
4 answers 4 answers
For the year $2019$, which of the previous year’s calendar can be used?$2011$$2012$$2013$$2014$
2 2 answers
Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visib...
6 6 answers
In the square grid shown on the left, a person standing at $\text{P2}$ position is required to move to $\text{P5}$ position.The only movement allowed for a step involves,...
2 2 answers
In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the are...
5 5 answers
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\text{P}$ facing east.The ant first turns ...
2 2 answers
Consider the following equations of straight lines:$\text{Line L1}: 2x – 3y = 5$$\text{Line L2}: 3x + 2y = 8$$\text{Line L3}: 4x – 6y = 5$$\text{Line L4}: 6x – 9y = 6$Whi...
2 2 answers
Given below are two statements and four conclusions drawn based on the statements.Statement $1:$ Some soaps are clean.Statement $2:$ All clean objects are wet.Conclusion ...
2 2 answers
In a partnership business, the monthly investment by three friends for the first six months is in the ratio $3:4:5.$ After six months, they had to increase their monthly ...
2 2 answers
For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
2 2 answers
A survey of $450$ students about their subjects of interest resulted in the following outcome.$150$ students are interested in Mathematics.$200$ students are interested i...
2 answers 2 answers
Both the numerator and the denominator of $\dfrac{3}{4}$ are increased by a positive integer, $x,$ and those of $\dfrac{15}{17}$ are decreased by the same integer. This o...
2 2 answers
The movie was funny and I __________.could help laughingcouldn’t help laughedcouldn’t help laughingcould helped laughed
2 2 answers
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam.From the data presented above, which one of the following is ...
4 4 answers
$\text{P}$ invested ₹$5000$ per month for $6$ months of a year and $\text{Q}$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profit is...
2 2 answers
Given the statements:$\text{P}$ is the sister of $\text{Q}$.$\text{Q}$ is the husband of $\text{R}$.$\text{R}$ is the mother of $\text{S}$.$\text{T}$ is the husband of $\...
2 2 answers
Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the poin...
2 2 answers
You should ___________ when to say _______________.no/nono / knowknow / knowknow / no
5 5 answers
If$p : q = 1:2$$q : r = 4 : 3$$r : s = 4 : 5$and $u$ is $50\%$ more than $s$, what is the ratio $p : u$?$2 : 15$$16 : 15$$1 : 5$$16 : 45$
2 2 answers
$x:y:z = \frac{1}{2} : \frac{1}{3} : \frac{1}{4}.$What is the value of $\frac{x+z-y}{y} ?$$0.75$$1.25$$2.25$$3.25$
2 answers 2 answers
For non-negative integers, $a, b, c$, what would be the value of $a+b+c$ if $\log a + \log b + \log c = 0$?$3$$1$$0$$-1$
2 answers 2 answers
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 p...
0 0 answers
The value of $\lim \limits_{x\rightarrow \infty } \dfrac{x \:\text{ln}\left ( x \right )}{1+x^{2}}$ is$0$$1.0$$0.5$$\infty$
1 1 answer
The rank of the matrix $\begin{bmatrix} 5 & 0 & -5 & 0\\ 0 & 2 & 0 & 1\\ -5 & 0 & 5 & 0\\ 0 & 1 & 0 & 2 \end{bmatrix}$ is$1$$2$$3$$4$
0 0 answers
The unit normal vector to the surface $X^{2} + Y^{2} + Z^{2} – 48 = 0$ at the point $(4, 4, 4)$ is $\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}$$\frac{1}{\sq...
0 0 answers
If $\text{A}$ is a square matrix then orthogonality property mandates$AA^{T}=I$$AA^{T}=0$$AA^{T}=A^{-1}$$AA^{T}=A^{2}$
0 0 answers
The value ($\textit{round off to one decimal place}$) of $\int_{-1}^{1}x\:e^{\left | x \right |}dx$ is ______________
0 0 answers
The smallest eigenvalue and the corresponding eigenvector of the matrix $\begin{bmatrix} 2 & -2 \\ -1 & 6 \end{bmatrix}$, respectively, are$1.55$ and $\begin{Bmatrix} 2.0...
0 0 answers
A function is defined in Cartesian coordinate system as $f(x,y)=xe^{y}$. The value of the directional derivative of the function ($\textit{in integer}$) at the point $(2,...
1 1 answer
Numerically integrate, $f(x)=10x-20x^2$ from lower limit $a=0$ to upper limit $b=0.5$. Use Trapezoidal rule with five equal subdivisions. The value (in $\text{units}, \te...
1 1 answer
The rank of matrix $\begin{bmatrix} 1 & 2 & 2 & 3\\ 3 & 4 & 2 & 5\\ 5 & 6 & 2 & 7\\ 7 & 8 & 2 & 9 \end{bmatrix}$ is$1$$2$$3$$4$
0 0 answers
If $P=\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$ and $Q=\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$ then $Q^{T}\:P^{T}$ is$\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatri...
0 0 answers
The shape of the cumulative distribution function of Gaussian distribution isHorizontal lineStraight line at $45$ degree angleBell-shaped$S$-shaped
1 1 answer
Consider the limit:$$\lim_{x\rightarrow 1}\left ( \frac{1}{\text{ln}\:x} - \frac{1}{x-1}\right )$$The limit (correct up to one decimal place) is _____________
0 0 answers
The volume determined from $\int \int \int _{V}\:8\:xyz\:dV$ for $V=\left [ 2,3 \right ]\times \left [ 1,2 \right ]\times \left [ 0,1 \right ]$ will be ($\textit{in integ...
0 0 answers
The value of $\int_{0}^{1}\:e^{x}\:dx$ using the trapezoidal rule with four equal subintervals is$1.718$$1.727$$2.192$$2.718$
3 answers 3 answers
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 a...
3 answers 3 answers
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) ...