Explore topic-wise InterviewSolutions in Current Affairs.

Assertion (A): In the given figure, If O is the centre of the circle and AC is the diameter with $\angle APB={120}^{\circ }$, then $\angle BQC={150}^{\circ }$.

Reason (R): In a cyclic quadrilateral, the sum of opposite angles is ${180}^{\circ }$.
Which of the following is true?

In a cricket team tournament 16 teams participated. A sum of Rs. 8000 is to be awarded among themselves as prize money. If the last place team is awarded Rs. 275 in prize money and the award increases by the same amount for successive finishing places, how much amount will the first place team receive?

S1: If two triangles are similar, sides are proportional.
S2: If two triangles are similar, angles are equal.

Match the zeroes of the respective polynomials.

If alpha and beta are the zeros of f(x) = K x square - 2 X + 3 k and alpha + beta = Alpha * beta then find k

Is centaral angle of a circle is 360..?

Rohit has a recurring deposit account in State Bank of India. He deposits Rs 2500 per month for a time period of 2 years. At the time of maturity he receives Rs 66250. What is the interest paid by the bank? Also calculate the rate of interest.

Find the zeros of quadratic polynomial 4 x^2 - 7

Which of the following numbers cannot end with zero for any natural number $n$ ?

Which of the following is a factor of
$(x+y{)}^3-(x^3+y^3)$?

The square of (2$x$ -1) is equal to 5. If one of the values of $x$ is $\frac{1-\sqrt{5}}{2}$, what is the value of $x$ ?

AC and BC are two equal chords of a circle with diameter AB forming a $\Delta ABC$ as shown in the figure. If the radius of the circle is 5 cm. find the length of the equal chords.

A box contains 12 balls out of which $x$ are blue. If one ball is drawn at random from the box, what is the probability that it will be a blue ball ? If 6 more blue balls are put in the box , the probability of drawing a black ball is now double of what it was before . Find $x$

In the given figure , $\frac{AB}{AC}$ = $\frac{12}{13}$. Find the value of $se{c}^{2}C$ – $ta{n}^{2}C$

Look at several examples of rational numbers in the form $\frac{p}{q}(q\ne 0)$ where $p$ and $q$ are integers with no common factors other than $1$ and having terminating decimal representations (expansions). Can you guess what property $q$ must satisfy?

Evaluate 1 – 2$sin\theta$ $cos\theta$ if $sin\theta$ = $cos\theta$.

In the given figure , AC and BC are tangents to the circle with centre O.

If $\angle ACB$ is twice $\angle AOB$ , then $\angle ACB$ = ____

A motorboat whose speed is 9 km/hr in still water, goes 15 km downstream and comes back in a total time of 3 hours 45 minutes. Find the speed of the stream.

In a hospital, used water is collected in a cylindrical tank of diameter 2 m and height 5 m. After recycling, this water is used to irrigate a park of hospital whose length is 25 m and breadth is 20 m. If the tank is filled completely then what will be the height of standing water used for irrigating the park? Write your views on recycling of water.

Given two angles $\angle A=x^{\circ },\angle B=y^{\circ }andAB;(A+B<{90}^{\circ })$, how many triangles can be constructed?

A circus artist is climbing a 30 m long rope which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is ${30}^{\circ }$.

The sum of Arushi’s marks in Mathematics and Science is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Choose the correct options on the basis of this information.

Mr. Gupta has a choice to invest in ten-rupee shares of two firms at Rs 13 or at 16. If the first firm pays 5% dividend and the second firm pays 6% dividend per annum, find :

(i) which firm is paying better.

(ii) if Mr. Gupta invests equally in both the firms and the difference between the returns from then is Rs 30, find how much, in all, does he invest ?

Solve the following systems of inequalities graphically:

$x-2y\le 3,3x+4y\ge 12,x\ge 0,y\ge 1$

If two diameters of a circle lie along the lines $x-y=9$ and $x-2y=7,$ and the area of the circle is 38.5 sq cm, find the equation of the circle.

Find the number of solutions for $\left[x\right]=\left\{x\right\}$. Where $\left[x\right],\left\{x\right\}$ represents greatest integer and fractional part of x.

If alpha and one by Alpha are the zeros of the polynomial 4x²-2x+(k-4) find the value of k

Man A speaks the truth in $80\%$ of the cases and another man B in $90\%$ of the cases. While stating the same fact, what is the probability that they contradict?

Find the value of k so that the following system of equation has no solution

3x+y=1 (2k-1)x+(k-1)y=o

Which fraction comes next in the sequence $\frac{1}{2},\frac{3}{4},\frac{5}{8},\frac{7}{16}$?

Which of the following is the apex institution of the monetary and banking structure of our economy?

(18 x 25 x 25 + 25) gives a ___ number.

If the polynomial (2x + 3 ) is a factor of the polynomial
2x³ + 9x² - x – b. The value of b is_______

If $x=\frac{1}{\sqrt{3}+1}$ then the value of $x+\frac{1}{x}$ is

The radii of 2 concentric circles are 3cm & 5cm respectively. Find the length of the chord of the outer circle which touches the inner circle.

If (a+b , a-b) = (4, 2), what is $\frac{a}{b}$ ?

If quadrilateral ABCD is cyclic, then find the angle subtended at the centre by vertex B and D i.e. $\angle BOD.$

Probablity of sure event

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion : $\frac{6}{15}$