Explore topic-wise InterviewSolutions in Current Affairs.

The point (3, -2) lies in ____________

Question 128(i)

Predicting the ones digit, copy and complete this table and answer the questions that follow.
Powers Table
$\begin{array}{ccccccccccc}X& 1^x& 2^x& 3^x& 4^x& 5^x& 6^x& 7^x& 8^x& 9^x& {10}^x\\ 1& 1& 2& & & & & & & & \\ 2& 1& 4& & & & & & & & \\ 3& 1& 8& & & & & & & & \\ 4& 1& 16& & & & & & & & \\ 5& 1& 32& & & & & & & & \\ 6& 1& 64& & & & & & & & \\ 7& 1& 128& & & & & & & & \\ 8& 1& 256& & & & & & & & \\ \text{Ones digits of the powers}& 1& 2,4,6,8& & & & & & & & \end{array}$
Describe patterns you see in the ones digits of the powers.

Factorize: $a^2-2+\frac{1}{a^2}$

Assertion: Two diameters of a circle intersect each other at right angles. Then the quadrilateral formed by joining their end-points is a square.

Reason: Angle in a semi-circle is a right angle.

Which of the following options is correct?

According to the passage, Levitt can be summed up as:

Factorize: $2(2x-5y)(3x+4y)-6(2x-5y)(x-y)$

In a histogram , the number of parts is called as ___________ and the range of the parts is called __________

Prove that a diameter $AB$ of a circle bisects all those chords which are parallel to the tangent at the point $B.$

It is known that a box of 800 electric bulbs contains 36 defective bulbs. One bulb is taken at random out of the box. What is the probability that the bulb chosen is non-defective?

Define some fundamental characteristics of stastistics.

Factorize:

$x^2-\sqrt{3}x-6$

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

ABC is a right-angled triangle in which $\angle A={90}^{\circ }andAB=AC.Find\angle Band\angle C.$

Degree of the zero polynomial :
(a) 1
(b) 0
(c) not defined
(d) none of these

Factorise 6x^2+17x+5 by factor theorem.

What is the unit digit in the product of the first 50 odd natural numbers? Explain how.

I construct quadrilateral with 3 sides and 2 included angles being ${75}^{\circ }$ and ${105}^{\circ }$ respectively. What is the type of quadrilateral I am constructing?

Simple interest on a certain sum of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5 percent per annum by Rs. 228. Find the sum.

Prove that a quadrilateral with one pair of opposite sides equal and parallel, is a parallelogram.

Construct an angle of ${22.5}^{\circ }$ without using protractor. Any of the other geometric instruments can be used. [3 MARKS]

How to factorise x^{​​​​​​3}+13x²+32x+20

The rationalisation factor of $\sqrt{3}$ is

Using the given Venn diagram, find $A\cap B$.

Use the following information to answer the next question.

What is the length of side XY?

Find the least fraction which must be multiplied to $(1\frac{2}{4}-\frac{1}{2}+3\frac{6}{16}-\frac{1}{16}+\frac{2}{8}$) to make it an integer.

Given $tan(A+B)=\sqrt{3}$ and $tan(A-B)=\frac{1}{\sqrt{3}}$

If $B<A<{90}^{\circ }$, then,
A (in degrees) = ___
B (in degrees) = ___

In the given figure, AB and CD are two lines intersecting at O. If $\angle AOC$ and $\angle BOC$ are in ratio 2 : 3, find all angles.

What is the formula for compound interest?

Verify whether 5 + 2x a factor of $2x^3+5x+\frac{175}{4}$ ? [3 MARKS]

One of the factors of $(25x^2-1)+(1+5x{)}^2$ is
(a) 5+x (b) 5-x (c) 5x-1 (d) 10x

Select the word which means the opposite of the word AMENDING

If (i, j)th element of matrix A is 2+3i , what is the corresponding element in A* or conjugate of A.

Sir/ma'am

Que. Without actual division find which of the following rational numbers ar terminating decimals. Justify.

i 11/80,48/455,7/12,6/35,13/125

Question 1(e)

Fill in the blanks:
1 million = _______________ lakh.

Which of the following pairs are coprime numbers

Diagonals AC and BD of a trapezium ABCD with AB ll DC intersect each other at O. If area (∆AOD)=37sq cm, then area (∆BOC)= ?

Find the number of significant figures in the given data

(p) 0.543 (u) 3

(q) 4.330 (v) 4

(r) $1.32\times {10}^{-2}$ (w) 5

(s) 0.002 (x) 1

For any positive integer, ncube --n is always divisible by

Two sides of triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be

In the above figure O is the center of the circle $\angle$AOB = ${80}^{\circ }$ ^,then complete the matching.

$\begin{array}{cc}Angle& Value\\ 1.ACB& a.90\\ 2.ADB& b.40\\ 3.ABC& c.80\\ 4.AOC& d.180\end{array}$

Question 2 (iii)
Find the surface area of a sphere of diameter:

(iii) 3.5 m

$[Assume\pi =\frac{22}{7}]$

Mrs. Hema took a loan of Rs 10,000 from a bank at the rate of 10% p.a. compounded annually, Find the amount to be paid by her after 3 years.

If sin (2A − 3B) = cos (3A + 8B), where (2A − 3B) and (3A + 8B) are acute angles, then what is the value of (A + B)?