Recent questions and answers

A number consists of two digits. The sum of the digits is $9$. If $45$ is subtracted from the number, its digits are interchanged. What is the number?$63$$72$$81$$90$

​​​​The matrix $\left[\begin{array}{ll}1 & a \\ 8 & 3\end{array}\right]$ (where $a>0$ ) has a negative eigenvalue if $a$ is greater than$\frac{3}{8}$$\frac{1}{8}$$\frac{1...

Let $\mathbf{A}$ and $\mathbf{B}$ be real symmetric matrices of same size. Which one of the following options is correct?$\mathbf{A}^{\mathrm{T}}=\mathrm{A}^{-1}$$\mathbf...

If the sum and product of eigenvalues of a $2 \times 2$ real matrix $\begin{bmatrix} 3 & p\\ p & q \end{bmatrix}$ are $4$ and $-1$ respectively, then $\left | p \right |$...

An isotropic brittle material is tested in the universal testing machine. The stress-strain diagram for the material shows a bi-linear elastic behavior as shown in the fi...

If HIDE and CAGE are coded as $19-23-7-11$ and $5-2-17-11$ respectively, then what is the code for HIGH?$5-17-1-2$$17-19-13-17$$13-3-1-2$$19-23-17-19$

​​​​​Ceramics and glass are machined byelectric discharge machiningultrasonic machiningelectrochemical machiningtransferred arc plasma machining

Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:At once, without thinking much, people rushed towards the city in hord...

A right-angled cone (with base radius $5$ cm and height $12$ cm), as shown in the figure below, is rolled on the ground keeping the point $P$ fixed until the point $Q$ (a...

A coin is tossed thrice. Let C be the event that head occurs in each of first two tosses. Let Y be the event that tails occurs in third toss. Let Z be the event that two ...

The minister avoided any mention of the issue of women’s reservation in the private sector. He was accused of ______ the issue.collaringskirtingtyingbelting

Congo was named by Europeans, Congo’s dictator Mobuto later changed the name of the county and the river to Zaire with the objective of Africanising names of persons and ...

Fish : Shoal :: Lion : ________Select the correct option to complete the analogy.PrideSchoolForestSeries

A person divided an amount of Rs. $100,000$ into two parts and invested in two different schemes. In one he got $10 \%$ profit and in the other he got $12 \%$. If the pro...

$M$ and $N$ had four children $P$, $Q$, $R$ and $S$. Of them, only $P$ and $R$ were married. They had children $X$ and $Y$ respectively. If $Y$ is a legitimate child of $...

If ‘KCLFTSB’ stands for ‘best of luck’ and ‘SHSWDG’ stands for ‘good wishes’, which of the following indicates ‘ace the exam’?MCHTXMXHTCXMHCTXMHTC

​​​​​The endurance limit of a specific grade of steel is same as its yield strength. The ultimate strength of this grade of steel is twice of its yield strength. A compon...

​A metallic square plate is subjected to a uniform hydrostatic pressure $(P)$. Choose the correct Mohr's circle representing the state of stress at any point in the plate...

​​​​The yield stress of a metal in uniaxial tension is $200 \text{ MPa}$. According to von Mises yield criterion, the yield stress (in $\text{MPa}$) of the metal in pure ...

Find the odd one from the following group:$\begin{array}{llll} W,E,K,O & I,Q,W,A & F,N,T,X & N,V,B,D \end{array}$$W,E,K,O$$I,Q,W,A $$F,N,T,X $$N,V,B,D$

Let $f\left ( x \right )=x^{2}-2x+2$ be a continuous function defined on $x \in \left [ 1,3 \right ]$. The point $x$ at which the tangent of $f\left ( x \right )$ becomes...

If a function is continuous at a point,the limit of the function may not exist at the pointthe function must be derivable at the pointthe limit of the function at the poi...

The given figure is reflected about the horizontal dashed line and then rotated clockwise by $90^{\circ}$ about an axis perpendicular to the plane of the figure.Which one...

​​​​When assembled, the hole $30^{\begin{array}+0.030 \\ +0.000 \end{array}}$ mm and shaft $30^{\begin{array}+0.020 \\ -0.020 \end{array}}$ mm will result inloose fitint...

​​​​​A rigid circular disc of radius $r$ (in $m$ ) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc is $\omega...

A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?$B D$$B C$$B A$$A D$

​​​In computer aided design (CAD), solid models can be constructed usingboundary representation (B-rep)Bezier curvesB-splinesnonuniform rational B-splines (NURBS)

The divergence of the curl of a vector field isthe magnitude of this vector fieldthe argument of this vector fieldthe magnitude of the curl of this vector fieldzero

​Air inside a rigid, thermally-insulated tank undergoes stirring as shown in the figure below. Which one of the following options is correct?The enthalpy of the air incre...

The thermal efficiency of an ideal air-standard Otto cycle is $0.5$. The value of specific heat ratio of air is $1.4$. The compression ratio of the cycle is ___________ (...

A thermodynamically closed system contains $1 \: \mathrm{kg}$ of hydrogen. The system undergoes a reversible polytropic process with polytropic index $1.3$. The work outp...

Identify the grammatically correct sentence:It is I who am responsible for this fiasco.It is myself who is responsible for this fiasco.It is I who is responsible for this...

Activities $\text{A, B, C}$ and $\text{D}$ form the critical path for a project with a $\text{PERT}$ network. The means and variances of the activity duration for each ac...

​​​​​Consider the system of linear equations\[\begin{array}{c}x+2 y+z=5 \\2 x+a y+4 z=12 \\2 x+4 y+6 z=b\end{array}\]The values of $a$ and $b$ such that there exists a no...

Two surfaces $\text{P}$ and $\text{Q}$ are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces $\text{P}$ and $\tex...

A heat pump, operating in reversed Carnot cycle, maintains a steady air temperature of $300 \: \text{K}$ inside an auditorium. The heat pump receives heat from the ambien...