Explore topic-wise InterviewSolutions in Current Affairs.

A rectangle whose length and breadth are 5 and 3 units respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. What are the coordinates of the vertices?

Which of the following option satisfies the given linear equation: 4x+3y = 5?

The scores of a batsman in the last 10 innings were 10, 0, 25, 9, 24, 81, 28, 2, 1, and 59. What is the probability that he will score more than 30 runs in his next innings?(in decimal) ___

In a cricket tournament following was the number of runs scored by the cricketers. Plot a frequency plot of the data.

$\begin{array}{cc}\text{Runs}& \text{Number Of Cricketers}\\ 0-10& 10\\ 10-20& 3\\ 20-30& 14\\ 30-40& 25\\ 40-50& 11\end{array}$
[2 MARKS]

A boy runs for 10 mins at a uniform speed of 9 km/h. At what speed should he run for the next 20 mins, so that the average speed comes to 12 km/h?

In a right angled triangle, the ratio of the shorter sides is $2:3.$ Find the ratio of the hypotenuse of the triangle to its perimeter. [Assume $\sqrt{13}=3.5$]

Compare the given linear equation $2y=5x+7$ with its standard form $ax+by+c=0.$
Which of the following is the possible value of 'c' for the given equation?

The factorisation of $a^4-1$ is equal to .

Match the two columns:
$\begin{array}{cc}\text{Column-I}& \text{Column-II}\\ \text{(A) The radius of a circle is 8 cm and}& \text{(p) 23 cm}\\ \text{the length of one of its chords is 12 cm.}& \\ \text{the distance of the chord form the centre is}& \\ \text{(B) Two parallel chords of length 30 cm}& \text{(q) 5.196 cm}\\ \text{And 16 cm. are drawn on the opposite sides}& \\ \text{of the centre}\text{of a circle of radius 17 cm.}& \\ \text{The distance between the chords}& \\ \text{(C) The length of a chords which is at a distance of}& \text{(r) 5.291 cm}\\ \text{4 cm from the centre of the circle of radius 6 cm is}& \\ \text{(D) An equilateral triangle of side 9 cm is inscribed}& \text{(s) 8.94 cm}\\ \text{In a circle. The radius of the circle is}& \\ \text{Choose the correct option:}& \end{array}$

If the numerator of a fraction in increased by 2 and the denominator is increased by 1, the fraction becomes $\frac{5}{8}$ and if the numerator of the same fraction is increased by 3 and the denominator is increased by 1 the fraction becomes $\frac{3}{4}$ what is the original fraction?

In the figure, it is given that $\angle A={90}^{\circ },AB=AC,$ and point $D$ bisects the side $BC.$ Find $\angle ADC.$

Identify the meaning of the underlined suffix.

Statuesque

Evaluate: (2y+5)(2y+5).

In the given figure, AB || CD then the value of x is
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Question 6
Salil wants to put a picture in a frame. The picture is $7\frac{3}{5}$cm wide. To fit in the frame the picture cannot be more than $7\frac{3}{10}$cm wide. How much should the picture be trimmed?

If a complex number z satisfies the following relation |z - 1| + |z + 1| = 2, then the point z lies on

Bisectors of angles $\angle A,\angle B$ and $\angle C$ of a triangle $ABC$ intersect its circumcircle at $D,E$ and $F$ respectively. Prove that the angles of the triangle $DEF$ are
${90}^{\circ }-\frac{1}{2}\angle A,{90}^{\circ }-\frac{1}{2}\angle B$ and ${90}^{\circ }-\frac{1}{2}\angle C$

Find the value of
$9\times 9–30÷3+5–6+7–2+9\times 9$

In $\Delta$ ABC, AB = AC and the bisectors of angles B and C intersect at point O. Prove that :

(i) BO = CO

(ii) AO bisects $\angle BAC$

If a triangle and a parallelogram are on the same base and between the same parallels, then _____.

In case of two equilateral triangles, PQR and STU which of the following correspondence is not correct

In the diagram, ABCD is a rhombus. AEC and BED are straight lines. Find the value of $p+q+r+s+t$

The mean score of a person is 30 in 'n' exams. If he would have scored six marks extra in each of the first (n-1) exams, his mean score would have been 35. Find the number of exams.

i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______

ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm

In given figure $△$ ABC and $△$ DEF are similar, EF=3cm, BC=4cm, and area of triangle DEF=54$c{m}^2$ . Find the area of $△$ ABC.

___ $c{m}^2$.

The maximum probability of an event of a trial is:

What will be the class range if the mid value of a class range is 165 and the distance between classes is 30?

Factorise the polynomial $x^4+x^3-7x^2-x+6$ using factor theorem.

One of the methods of determining mode is :

At least one of the factors of the polynomial equation $P\left(x\right)=3x^2+10x+7$ divides which of the following polynomial equations?

Question 6
Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:
$\begin{array}{cccccccccc}0& 1& 2& 2& 1& 2& 3& 1& 3& 0\\ 1& 3& 1& 1& 2& 2& 0& 1& 2& 1\\ 3& 0& 0& 1& 1& 2& 3& 2& 2& 0\end{array}$
Prepare a frequency distribution table for the data given above.

The area of the triangle is equal to the area of the rectangle as shown in the figure.. The height of the triangle is H and base is B.Length of the rectangle = B. find its breadth.

Find the supplement of the following angle:
${134}^{\circ }{30}^{{}^{\prime }}{26}^{\prime \prime }$ [2 MARKS]

Solution of the equation 4x+5[x-{3-2(x+1)}]=2+3x is

If $\left[\begin{array}{cccc}1& 0& 0& 0\\ 2& 3& 0& 0\\ 4& 5& 6& 0\\ 7& 8& 9& 10\end{array}\right]$, then A is

A cube is 7 cm on an edge and another cube is 14 cm on an edge. The ratios of their curved surface areas are

The product of two numbers is $x^2+x-2$. If one of the numbers is $x-1$, Then the other number is

The value of sin ${90}^{\circ }$ and cos $0^{\circ }$ are:

40 bags of cotton cost Rs 2200, but by exchanging 25 bags with the shopkeeper we get 30 grams of silver. Find the price of 150g of silver by exchanging relevant number of cotton bags.

A parallelogram and a triangle are on equal base and between the same parallel lines. The ratio of their areas is ______.

The set of intelligent students in a class is: