Explore topic-wise InterviewSolutions in Current Affairs.

ABCD is a cyclic quadrilateral such that $\angle ADB={30}^{o}and\angle DCA={80}^o$, then $\angle DAB=$

Multiply cube root of 8 by square root of 5.

What are the mid-points of the class-intervals called?

Number of radii that can be drawn in a circle is ____.

Factorise: 27p³-1/216-9/2p²+1/4

If we select a letter from the word 'PROBABILITY' at random, what is the probability that it is a vowel?

Following table gives marks and number of students of a class.

Which point on the frequency polygon will have its y coordinate as 19?

Question 2 (iv)
Simplify $(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})$ .

If $lo{g}_{10}x=y$, then which of the following options are correct?

The given table shows the rainfall (in mm) in different cities in India for an year.

$\begin{array}{cc}\text{Cities}& \text{Rainfall (mm)}\\ \text{Delhi}& 44.6\\ \text{Mumbai}& 63.5\\ \text{Kolkata}& 60.7\\ \text{Pune}& 56.2\\ \text{Bangalore}& 60.1\\ \text{Bhubaneswar}& 49.4\\ \text{Chennai}& 61.7\\ \text{Ooty}& 56.9\\ \text{Ahmedabad}& 34.4\\ \text{Jaipur}& 32.5\end{array}$

Find the Mean rainfall (in mm) for the year.

The mean of a set of 20 observations is 19.3. The mean is reduced by 0.5 when a new observation is added to the set. What is the new observation that has been added?

1. 0.074

Determine whether the following is a statistical question.

Did Shyam watch television last night? (Yes/No)

$2\frac{tan{70}^{\circ }}{cot{20}^{\circ }}-\frac{tan{33}^{\circ }}{cot{57}^{\circ }}-\sqrt{2}cos{45}^{\circ }=$ _____

Can a triangle have two obtuse angle?give reason for your answer

Find the percentage increase in the area of a triangle if it's each side is doubled using heron 's formula.

Write the degree of each polynomial given below:

(i) $xy+7z$ (ii) $x^2-6x^3+8$

(iii) $y-6y^2+5y^8$ (iv) $xyz-3$

(v) $xy+y{z}^2-z{x}^3$ (vi) $x^5{y}^7-8x^3{y}^8+10x^4{y}^4{z}^4$

Why 1 is called as triangular number.

Calculate the number of sides of a regular polygon whose interior angle are each 156 degree

Which of the following is an irrational number?

Question 145

Fill in the blanks to make the statement true.

A number is divisible by 5, if it has ___ or ___ in its one's place.

Factorize: 125a³ – 27b³ – 225a²b + 135ab².

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

A hollow cylindrical pipe is made up of copper and is 210 cm long. The outer and inner radii of the pipe are 10 cm and 6 cm respectively. Find the volume of copper used in making the pipe.

In the given figure h = ___ m.

If $cot\theta =\frac{7}{8}$, evaluate:
$\frac{(1+sin\theta )(1-sin\theta )}{(1+cos\theta )(1-cos\theta )}$

If I pick a red ball 10 times out of 30 times from a bag that contains red and black balls, then the probability of picking a black ball is:

How would you go about finding the area of the shaded region?

Water potential in closely placed cell (p, q, r) is given below. Find out correct direction of water movement

$\begin{array}{ccc}\text{Cell}& \text{Osmotic Potential}& \text{Prssure Potential}\\ & \text{(MPa)}& \text{(MPa)}\\ \text{P}& \text{- 0.21}& \text{0.05}\\ \text{Q}& \text{-0.22}& \text{0.02}\\ \text{R}& \text{-0.23}& \text{0.05}\end{array}$

(A) p $\to$ q (B) q $\to$ r (C) r $\to$ p (D) r $\to$ q

In quadrilateral PQRS, the diagonals are equal and intersect each other at right angles. Then, quadrilateral PQRS is a

For $\Delta$1 to be congruent to any $\Delta$2, which of the following is necessary and sufficient?

D is a point on the side BC of $\Delta ABC$ such that $\angle ADC=\angle BAC$. Then,

An angle is one fifth of its supplement. The measure of the angle is

(a) ${15}^{\circ }$

(b) ${30}^{\circ }$

(c) ${75}^{\circ }$ (d) ${150}^{\circ }$

In the adjoining figure, ABCD is a parallelogram in which AB is produced to E so that BE = AB. Prove that ED bisects BC.

Factorize: x³ + x² - 17x + 15

What will be the percentage increase in the area of the triangle if each side of the triangle is doubled? [4 MARKS]

Prove that the median of an equilateral triangle are equal.

In a circus, a motorcyclist performs his stunts in a hollow sphere. The thickness of the sphere is negligible. If the diameter of the hollow sphere is 14 m, then find the area available for the motorcyclist to perform stunts.(Take $\pi =\frac{22}{7}$)

The figure formed by joining the mid-points of the adjacent sides of a parallelogram is a