Explore topic-wise InterviewSolutions in Current Affairs.

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The smallest of these angles is

(a) ${45}^{\circ }$

(b) ${60}^{\circ }$

(c) ${36}^{\circ }$

(d) ${48}^{\circ }$

Express the following numbers in standard form:
31860000000

What is the result of dividing 12 x 12 x 12 by -3 x -3 x -3?

Divide the monomial $81p^3{q}^6$ by $27p^6{q}^3$

In the figure, O is the centre of the circle and $\angle DAB={50}^o$. Calculate the values of x and y.

Find the edge of a cube whose surface area is 432 $m^2.$

The set of real values of x satisfying the equation
${|x-1|}^{lo{g}_3\left(x^2\right)-2lo{g}_x\left(9\right)}=(x-1{)}^7$
is

Which of the following is linear equation

If $3^a$ = $b^2$, find the minimum value of a + b

__

Which of the following given lengths can be the sides of a triangle?

If the perimeter of a circle is equal to that of a square, then the ratio of area of circle to the square is ______.

How many zeroes do the polynomials
$P_1\left(x\right)=x^3+x^2+x+1$ and
$P_2\left(x\right)=x^2+1$
have in common?

Identify longest chords in the given figure.

ABCD is a quadrilateral as shown below. AD=AB and CB=CD.

What can be said about quadilateral ABCD?

John used the calculator to find the product 1499 and 319. He multiplied 319 with the successor of 1499 instead. How much should be subtracted to get the correct answer? [4 MARKS]

Study the following information carefully and answer the questions given below:

A, B, C, D, E, F, G and H are sitting around a circle facing at the centre. B is second to the right of H and third to the left of A. D is not an immediate neighbor of either B or H and is second to the right of F. C is fourth to the right of G.

In which of the following pairs is the second person sitting to the immediate left of the first person?

Which of the following instruments is not necessary to construct an angle bisector?

The range of $f\left(x\right)=ta{n}^{-1}(x^2+x+a)$ $\forall xϵ$ R is a subset of $[0,\frac{\pi }{2})$ then the range of a is -

In a college the GPA of a student in different semisters is as follows:

7.5, 8.5, fail, 5.6, 6.6, fail, 9.0, fail.Find the frequency of him failing.

The base of a prism is a right angled triangle having its base and altitude as 12 cm and 16 cm respectively. What is the total surface area of the prism if height of prism is 22 cm?

The following data tells about the number of runs scored by 20 players in a ranji match. Arrange the given in grouped frequency distribution .

$\begin{array}{cccccccccc}11& 15& 23& 25& 31& 33& 39& 42& 43& 49\\ 51& 56& 65& 75& 79& 89& 99& 98& 92& 91\end{array}$
[2 MARKS]

Following graph shows monthly expenditure (in ₹) of a family. What was the expenditure in the month of March?

Which of the following is the definition of cos $\theta$ ?

Which is true?

(a) A triangle can have two right angles.

(b) A triangle can have two obtuse angles.

(c) A triangle can have two acute angles.

(d) An exterior angle of a triangle is less than either of ther interior opposite angles.

In the figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that $\angle ROS=\frac{1}{2}(\angle QOS-\angle POS)$.

Find the fractional form of 0.666.... using $\frac{1}{3}$ = 0.3333.....

The water in a cubical tank of side 10m is transferred to completely fill a cuboidal tank of length 5m and breadth 10 and height h. Then the height of the cuboidal tank (in metres) is ___

Simplify $\frac{1}{2-\sqrt{7}}$ by rationalising the denominator.

In $\Delta ABC,\angle B={35}^{\circ },\angle C={65}^{\circ }\text{and the bisector of}\angle BAC$ meets BC in P. Arrange AP, BP and CP in descending order.

the graph of the line y = -3 does not pass through the point

(a) (2, -3)

(b) (3, -3)

(c) (0, -3)

(d) (-3, 2)

Create an angle of ${30}^{\circ }$by using angle bisection while also using protractor. [3 MARKS]

In the given figure, $△ABC$ is a right-angled triangle and BD is a perpendicular to AC. Which of the following is true?

In an experiment with n different outcomes, each of them equally - likely, what is the probability of each event?

X lies in the interior of $\delta ABC$. If $\angle BAC$= 70${}^{\circ }$ and $\angle BAX$ = 42${}^{\circ }$ then $\angle XAC$ =?

In a sample survey of 645 people, it was found that 516 people have a high school certificate. If a person is chosen at random, what is the probability that he/she has a high school certificate?

(a) $\frac{1}{2}$

(b) $\frac{3}{5}$

(c) $\frac{7}{10}$

(d) $\frac{4}{5}$

Check whether 7 + 3x is a factor of 3$x^3$ + 7x.

A three wheeler scooter charges rs 15 for the first kilometer and rs 8 for every subsequent kilometer. For a distance of x km, an amount of ra y is paid. Write a linear equation representing the above information.

2 cubes each of volume 64 $c{m}^3$ are joined end to end. Find the surface area of the resulting cuboid (in $c{m}^2$)

Match the following: $\begin{array}{cc}\text{Column A}& \text{Column B}\\ \text{1. {1, 2, 4, 8}}& \text{A. x: x is a natural even number less than 10}\\ \text{2. {2}}& \text{B. x: x is a prime number and a divisor of 8}\\ \text{3. {2, 4, 6, 8}}& \text{C. x: x is a divisor of 8}\\ \text{4. {4, 6, 8, 9}}& \text{D. x: x is a composite number less than 10}\end{array}$

The distance of a point $(2,3)$ from the $x-$ axis is

Write terminating decimals in the form of p÷q where p ,q are co-primes

15.265; 0.1255

2 m wide path is built along the border and inside a square garden of side 11 m. The area of the path is_____ $m^2$.