0 0 votes
1 1 answer
316
316 views
'The team $\_\_\_\_$ more than $300$ runs in $20$ overs $\_\_\_\_$ rains. However, some players needed to improve their batting skills.'Choose the option with the correct...
1 1 vote
3 3 answers
322
322 views
If a positive real $x$ satisfies the following equation\[\log _{2} x+\log _{\sqrt{2}} x=48,\]then the value of $x$ is $\_\_\_\_$$2^{16}$$4^{16}$$2^{14}$$4^{14}$
0 0 votes
1 1 answer
186
186 views
The next figure (indicated by ' $?$ ' ) in the sequence is
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1 1 answer
266
266 views
'All the mangoes in the basket are good.'If the above statement is false, then which one of the following statements is necessarily true?All the mangoes in the basket are...
0 0 votes
0 0 answers
218
218 views
Consider the following statements about four numbers:(S$1$) The average of the four numbers is $25$(S$2$) Each number is at most $40$(S$3$) Each number is at least $20$Ch...
0 0 votes
1 1 answer
174
174 views
'People are crowding around $\_\_\_\_$ pit into which $\_\_\_\_$ elephant has fallen. I have never seen an elephant looking more bewildered $\_\_\_\_$ miserable. Here it ...
0 0 votes
1 1 answer
240
240 views
The table lists the unit selling price of five products $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}$, and $\text{T}$. On a particular day, $250$ items were sold with ...
0 0 votes
1 1 answer
294
294 views
Consider a string P of length $l$ that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as repres...
0 0 votes
1 1 answer
453
453 views
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with ex...
0 0 votes
1 1 answer
206
206 views
Which one of the patterns labelled $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and $\text{S}$ is used to generate the following figure?$\text{P}$$\text{Q}$$\text{R}$$\text{S}$
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0 0 answers
137
137 views
Domain $A$ is bounded by curve $x^{2}=4 y$, ordinate $x=2$, and $x$ axis.The value of $\iint_{A} y d x d y$ is$1 / 5$$1 / 3$$5 / 12$$1 / 2$
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0 0 answers
138
138 views
Let $\varphi$ be a scalar function. Then, $\nabla \varphi$ isalways perpendicular to the surface of constant $\varphi$always parallel to the surface of constant $\varphi$...
0 0 votes
0 0 answers
115
115 views
The order and degree of the following differential equation are $m$ and $n$, respectively.\[\frac{\partial^{3} \varphi}{\partial x^{3}}+\frac{\partial^{2} \varphi}{\parti...
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0 0 answers
143
143 views
Newton-Raphson method for solving algebraic equations is based onTaylor seriesFourier seriesLaurent seriesPower series
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0 0 answers
186
186 views
The exact solution of $\int_{0}^{4} \frac{d x}{1+x}$ is represented as $n$.If $m$ represents numerically evaluated value of the above integral using Trapezoidal rule by c...
1 1 vote
0 0 answers
185
185 views
A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular veloci...
0 0 votes
0 0 answers
145
145 views
A gear train with five gears is shown in the figure below. The number of teeth on each gear is $\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}, \mathrm{~N}_{4}$, and $\...
0 0 votes
0 0 answers
121
121 views
In a single degree of freedom vibrating system with only viscous damping, the critical damping coefficient is $350 \mathrm{~N} \mathrm{~s} / \mathrm{m}$ and the damping c...
0 0 votes
0 0 answers
195
195 views
A closely coiled helical compression spring of mean coil diameter $D$ and wire diameter $d$, is loaded by an axial force $F$.The maximum shear stress developed in the wir...
0 0 votes
0 0 answers
96
96 views
The rotor of an aeroplane engine has a mass moment of inertia $1.0 \mathrm{~kg} \mathrm{~m}^{2}$. The engine rotates at a speed of $500$ RPM in the clockwise direction if...