Explore topic-wise InterviewSolutions in Current Affairs.

1. 6

the students of a class are made to stand in rows if 3 students are extra in a row there would be 1 row less if 3 students are less in a row there would be 2 rows more find the number of students in the class

Given $A=\left[\begin{array}{cc}3& 1\\ -2& 1\end{array}\right]\text{and}B=\left[\begin{array}{cc}4& -3\\ 2& -1\end{array}\right]$

Find A+B-2l where l is a $2\times 2$ unit matrix

Solve each of the following systems of equations by the method of the cross-multiplication:

$a^{2}x+b^{2}y=c^2$

$b^{2}x+a^{2}y=d^2$

If the HCF of 60 and 168 is 12, what is their LCM?

Draw a circle of radius 4.5 cm. Draw two tangents to this circle so that the angle between the tangents is ${60}^{\circ }.$

Find the 19th term of the following sequence:

tn (n^{​​​​​​2} when n is even)

( n2-1 when n is odd)

The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. Then the number is ___.

Find the co-ordinates of the points of tri-section of the line joining the points (-3,0) and (6, 6).

Represent 2y-3x-6 = 0 in the slope intercept form,y=mx+c.What is c ?

Sow that : $\frac{1+sinA}{cosA}+\frac{cosA}{1+sinA}=\frac{2}{cosA}$

Why is Euclids division algorithm for finding HCF is true?

And why is the fact true that hcf(a,b) is same as hcf(b,r)?

If x = $\sqrt{136+\sqrt{52+\sqrt{144}}}$ then value of x equals:

148x+231y=910

231x+ 148y=610

find x and y

Solve the equation by substitution method

0.2x+0.3y=1.3

0.4x+0.5y=2.3

Find the coordinates of the centroid of a $\Delta ABC$ whose vertices are

A(5,10), B (10,0), C(5,4)

If three unbiased dice are thrown simultaneously, then what is the probability of getting at least one six on the dices?

A line that touches a circle at only one point is called a ___.

Pratap paid 20% of his salary as income tax.if he left with 8400 rupees after paying the tax,find his salary

P and Q are points on the sides AB and AC respectively of $△$ABC such that PQ||BC and divides $△$ABC into two parts, equal in area. Find PB : AB.

Trial balance of Madan did not agree and he put the difference to the suspense account. He discovered the following errors.

(a) Sales return book overcast by Rs. 800.

(b) Purchase return to Sahu Rs. 2,000 were not posted.

(c) Goods purchased on credit from Narula Rs. 4,000 though taken into stock, but no entry was passed in the books.

(d) Installation charges on new machinery purchased Rs. 500 were debited to sundry expenses account as Rs. 50.

(e) Rent paid for residential accommodation of Madan (the proprietor) Rs. 1400 was debited to rent account as Rs. 1,000.

Rectify the errors and prepare a suspense account to ascertain the difference in trial balance.

A coin is tossed once, what is the probability of getting a head?

If the point C (–1, 2) divides internally the line segment joining A (2, 5) and B in ratio 3 : 4, find the coordinates of B. [3 MARKS]

An equilateral triangle has 2 vertex at points (3,4) and (-2,3), find the coordinates of the third vertex

First term of an arithmetic progression is 2 . If the sun of its first five terms is equal to one fourth of the sum of the next five terms then the sum of its first 30 terms is

Find the angle of elevation of the sum (sun's altitude) when the length of the shadow of a vertical pole is equal to its height

In the given figure, PA and PB are two tangents to the circle with centre O. If $\angle$ APB = ${60}^o$ then $\angle$ OAB is

(a) ${15}^o$ (b) ${30}^o$ (c) ${60}^o$ (d) ${90}^o$

Fint the roots of the following quadratic equations (if they exist) by the method of completing the square.
$2x^2+x-4=0$

If $cos2\theta =sin4\theta ,where2\theta and4\theta$ are acute angles, find the value of $\theta .$

The pair of equation x+2y+5=0 and -3x-6y+1=0 has

(a) a unique solution (b) exactly two solution

(c) infinitely many solutions (d) no solution

What must be subtracted from polynomial $f\left(x\right)=x^4+2x^3-13x^2-12x+21$ so that the resulting polynomial is exactly divisible by $x^2-4x+3$ ?

The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is

(a) 9 : 16 (b) 16 : 9 (c) 3 : 4 (d) 4 : 3

Question 45

State whether the following statement is true (T) or false (F).

If $\frac{x}{11}=15,thenx=\frac{11}{15}.$

A right angle triangle of base 4 cm and height 3 cm is revolved about its height. The surface area and volume of obtained solid figure are respectively.

Sum of Wight of dog + rabbit = 20 ;sum of Wight of cat +rabbit = 10; then what will be the sum of Wight of cat +dog+rabbit ?

Can (a-3d), (a-d), (a+d), (a+3d) be taken as four consecutive terms in AP?

Find the annual income derived from 760, Rs 100 shares paying $15\%$ dividend.

A pipe is connected to a tank. The water flows out from the tank through the pipe at the rate of $64m^3/min$. Find the time taken by the pipe to empty a volume of $1024m^3$. (in mins)

Show that the numbers 231 and 396 are not coprimes

Prove that sin square 20 degree + sin square 70 degree minus 10 square 45 degree is equal to zero

A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1:2:3. What is the ratio of their fundamental frequencies?

Find f is mean of the following is 18. find f hence find the median.

Which of these triangles have the circumcentre and incentre at the same point?