Explore topic-wise InterviewSolutions in Current Affairs.

If you set up the seventh harmonic on a string fixed at both ends, how many

nodes and antinodes are set up in it

[AMU 2000]

If the polynomials a$x^3$ + 4$x^2$ + 3x – 4 and $x^3$ – 4x + a leave the same remainder when divided by (x – 3), find the value of a.

Find the simplest form of :

$\left(i\right)\frac{69}{92}\left(ii\right)\frac{473}{645}\left(iii\right)\frac{1095}{1168}\left(iv\right)\frac{368}{496}$

The probability of getting at least one tail , when a coin is thrown 4 times is

a circus tent is cylindrical in shape up to a height of 4.2 m and conical above it. the common diameter of the base of the cylindrical and conical parts is 6 m. if the total height of the tent from the ground is 8.2 m, find the cost of canvas needed to make the tent at the rate of Rs.160 per m²

A box contains cards bearing numbers 6 to 70. If one card is drawn at random from the box, find the probability that it bears (i) a one digit number, (ii) a number divisible by 5, (iii) an odd number less than 30,
(iv) a composite number between 50 and 70.

The weekly expenses (₹) of 30 students of a class are given below: 62 ,80 ,110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 ,117, 86, 65, 68, 90, 80,118 ,72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Which among the given options is the correct frequency table?

Find and correct the errors (if any) in the following equations:

(i) $(5x-2{)}^2=25x^2+4-20x$

(ii) $(3x+2{)}^2=3x^2+6x+4$

Marks obtained by 200 students in an examination are given below: Draw an ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis. Using the graph, determine

(i) The median marks.

(ii) The number of students who failed if minimum marks required to pass in the exam is 40.

(iii) If scoring 85 and more marks is considered as grade one, find the number of students who secured grade one in the examination.

If $\Delta ABC\sim \Delta DEF$ such that 2AB = DE and BC = 6 cm, find EF.

Out of 200 students who are trying to improve their vocabulary, 120 students read newspaper H, 50 read newspaper T and 30 read both newspaper H and T. Which of the following are correct.

During conversion of a solid from one shape to another, the volume of the new shape

Solve using the quadratic formula, ² – 4+ 1 = 0.

In a given question how to find out whether to solve for LCM or HCF.

Solve for x and y:

$\frac{9}{x}-\frac{4}{y}=8,\frac{13}{x}+\frac{7}{y}=101(x\ne 0,y\ne 0).$

Data represented through a histogram can help in finding graphically the

(i) mean

(ii) mode

(iii) median

(iv) all the above

A man observes a car from the top of a tower, which is moving towards the tower with a uniform speed, If the angle of depression of the car changes from ${30}^{\circ }$ to ${45}^{\circ }$ in 12 minutes, find the time taken by the car now to reach the tower.

If $\alpha and\beta$ are the zeros of the quadratic polynomial $f\left(x\right)=x^2-3x-2$, find a quadratic polynomial whose zeros are $\frac{1}{2\alpha +\beta }and\frac{1}{2\beta +\alpha }$

How many 4-inch quilt blocks do you need to complete a 36-inch row?

The area of the triangle formed by the line $\frac{x}{a}+\frac{y}{b}=1$ with the coordinate axes is



(a) ab

(b) 2ab

(c) $\frac{1}{2}ab$

(d) $\frac{1}{4}ab$

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O.

If ∠DAC = 32° and ∠AOB = 70°, then find the measure of ∠DBC.

In an AP the sum of first n terms is $3n^2÷2+5n÷2$ then find the ${25}^{th}$ term.

A hemispherical bowl of internal radius 9 cm is full of water. Its contents are emptied into a cylindrical vessel of internal radius 6 cm. Find the height of water in the cylindrical vessel.

In the following figure, PQ is the tangent to the circle at A, DB is the diameter and O is the centre of the circle. If $\angle ADB={30}^o$ and $\angle CBD={60}^o$, calculate :

(i) $\angle$ QAB,

(ii) $\angle$ PAD,

(iii) $\angle$ CDB.

In figure lines $l_1$ and $l_2$ intersect at O, forming angles as shown in the figure.If $a={35}^{\circ }$, find the values of b, c and d. [3 MARKS]

$\sum$fx = 5x + 2, $\sum$f = 12. If the mean of the distribution is 6, what is the value of x?

Statements:

Some wires are queens.

Some queens are papers.

Some papers are buttons.

Conclusions:

I. Some buttons are queens.

II. Some papers are wires.

Find the area of the major segment APB of a circle of radius 35 cm and $\angle$AOB = 90 ${}^{\circ }$, as shown in the given figure.

Which of the following point(s) lies on the line joining points $A(-2,1,-1)$ and $B(2,-3,-4)$ ?

Find the value of a + b, if 1 is a root of the equation $a{x}^2+bx+1$ = 0

If the vertices of a triangle are (a, b - c), (b, c - a) and (c, a - b), then the centroid of the triangle lies

PAQ is a tangent to the circle with center O at a point A as shown in figure. If $\angle OBA={35}^{\circ }$, find the value of $\angle BAQ$ and $\angle ACB$. [4 MARKS]

In the given right angled triangle ABC, if $\alpha ={30}^{\circ }$ and $AC=10cm$ then the side $BC$ would be ___ $cm$