Explore topic-wise InterviewSolutions in Current Affairs.

Find the remainder when $5x^2+14x+2$ is divided by $x-4$.

Which of the following should be the FIRST sentence after rearrangement?

The simplest rationalising factor of $2\sqrt{5}-\sqrt{3}$ is

What is the relation between $\widehat{AB}$ and $\widehat{CD}$?

If $2^x=3^y={12}^z,Showthat\frac{1}{z}=\frac{1}{y}+\frac{2}{x}$.

In the figure below, the value of x${}^{\circ }$ is:

Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisector rays are perpendicular to each other.

How many persons can be accommodated in a dining hall of dimensions $(20m\times 15m\times 4.5m)$, assuming that each person requires $5m^3$ of air?

(a) 250 (b) 270 (c) 320 (d)300

In this case how many time intervals can Sid calculate?

$\begin{array}{cccccccccccccccc}\text{Bus}& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10& 11& 12& 13& 14& 15\\ \text{Time(hr:min)}& 8:15& 8:18& 8:23& 8:29& 8:32& 8:40& 8:45& 8:52& 8:54& 9:00& 9:07& 9:13& 9:20& 9:25& 9:32\end{array}$

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The exterior angles obtained on producing the base of a triangle both ways are ${104}^{\circ }$ and ${136}^{\circ }$ .Find all the angles of the triangle.

Find the area of given triangle in $c{m}^2$ [3 Marks]

What is the circumference of a circle with radius 2r units?

A vessel in the form of a hemispherical bowl is full of water. Its contents are emptied in a right circular cylinder. The internal radii of the bowl and the cylinder are 3.5 cm and 7 cm respectively. Find the height to which the water will rise in the cylinder.

Simplify:

(i) $({16}^{\frac{-1}{5}}{)}^{\frac{5}{2}}$

(ii) $\sqrt[5]{5(32{)}^{-3}}$

(iii) $\sqrt[3]{3(343{)}^{-2}}$

(iv) $(0.001{)}^{\frac{1}{3}}$

(v) $\frac{(25{)}^{\frac{3}{2}}\times (243{)}^{\frac{3}{5}}}{(16{)}^{\frac{5}{4}}\times (8{)}^{\frac{4}{3}}}$

(vi) ${\left(\frac{\sqrt{2}}{5}\right)}^8÷{\left(\frac{\sqrt{2}}{5}\right)}^{13}$

(vii) ${\left(\frac{5^{-1}\times 7^2}{5^2\times 7^{-4}}\right)}^{\frac{7}{2}}\times {\left(\frac{5^{-2}\times 7^3}{5^3\times 7^{-5}}\right)}^{\frac{-5}{2}}$

The radii of the internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm respectively. If it is melted and recast into a solid cylinder of height $2\frac{2}{3}$ cm. Find the diameter of the cylinder.

Determine the ratio in which the line 3x + y – 9 = 0 divides the segment joining the points (1, 3) and (2, 7). [3 MARKS]

If $\frac{27}{36}=\frac{9}{12}$ $=k$, then value of $k$ is .

In the given figure, AB||CD and if $\angle$CFE=${90}^{\circ }$, then $\angle$FEB= ___ degree.

Simplify each of the following :

(i) $175\times 175+2\times 175\times 25+25\times 25$

(ii) $322\times 322-2\times 322\times 22+22\times 22$

(iii) $0.76\times 0.76+2\times 0.76\times 0.24+0.24\times 0.24$

(iv) $\frac{7.83\times 7.83-1.17\times 1.17}{6.66}$

An angle is equal to one-third of its supplement. Find its measure in degrees.

Question 7
Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a high way.

$\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ \text{(km/h)}& \\ 30-40& 3\\ 40-50& 6\\ 50-60& 25\\ 60-70& 65\\ 70-80& 50\\ 80-90& 28\\ 90-100& 14\end{array}$

Draw a histogram and frequency polygon representing the data above.

PQRS is a square. Determine $\angle$SRP. [1 MARK]

The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set

A dance floor has to be built as a triangular glass platform with the dimensions 7 m, 8 m and 9 m. The total surface area of the glass required to build such a platform is equal to ___$m^2$.

If $x=3\sqrt{2}+2\sqrt{3}$, find $x+\frac{1}{x}$ .

1. 120

Sides of a triangle are in the ratio of 4 : 6 : 7 and its perimeter is 340 cm. its area is

Find the surface area of a sphere of radius $14cm.$

It is given that, AB || DE. Find the value of y, if $\angle$ABC= ${110}^{\circ }$ and $\angle$CDE= ${100}^{\circ }$.

In the given figure, if $\angle \text{OAB}={30}^{\circ }$, then $\angle \text{ACB}$ = ___.

For discontinuous grouped data, the class interval is given in _______ form.

The capacity of the tank of dimensions 7 m × 7 m × 5 m is

Construct an equilateral triangle of side 5 cm without using protractor.
[2 MARKS]

Given the set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of the following may be considered as universal set (s) for all the three sets A, B, and C?

(i) {0, 1, 2, 3, 4, 5, 6}

(ii) $\Phi$

(iii) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

(iv) {1, 2, 3, 4, 5, 6, 7, 8}

Factorize: $x^2+3x+2+ax+2a$

The average of n numbers $x_1,x_2,x_3,..........,x_n$ is M. If $x_n$ is replaced by x’, then new average is

A rectangular block has 2 metres, 3 metres and 4 metres as length, width and height respectively. If the sides of the block are extended by the same length 'x 'metres, what will be the algebric expression for the new volume?

Consider a right triangle ABC, right-angled at B. Then,

$\text{In the given figure,}\Delta ABC\text{and}\Delta OBC\text{are both isosceles.}$
$\text{It can be concluded that:}$

Definition of x axis and y axis and origin

What is the simple interest if the sum of money is Rs 4800 and the interest rate is 8.5% for time period of 2 years 3 months?

Question 6
$\Delta ABC$ is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see the given figure). Show that $\angle BCD$ is a right angle.

Find S=set of all leap years. Between 1882 and 1906

Find √3+√2??