Explore topic-wise InterviewSolutions in Current Affairs.

The value of b² - 4ac for equation 3x² – 7x – 2 = 0 is

The marks obtained by 100 students of a class in an examination are given below:

$\begin{array}{cc}Marks& Numberofstudents\\ 0-5& 2\\ 5-10& 5\\ 10-15& 6\\ 15-20& 8\\ 20-25& 10\\ 25-30& 25\\ 30-35& 20\\ 35-40& 18\\ 40-45& 4\\ 45-50& 2\end{array}$

Draw cumulative frequency curves by using (i) 'less than's series and (ii) 'more than' series.

Hence,find the median.

The difference of the squares of two positive integers is 180. The square of the smaller number is 8 times the larger, find the numbers.

Construct a circle of radius 7cm. From a point 10 cm away from its centre, draw tangents to the circle.

Which of the following statements is true for the equation of a line x - y = 0?

Find the $6^{th}$ term from the end of the AP 17, 14, 11,...., -40.

Question 170

Long back in ancient times, a farmer saved the life of a king's daughter. The king decided to reward the farmer with whatever he wished. The farmer, who was a chess champion, made an unusal request
"I would like you to place 1 rupee on the first square of my chessboard . 2 rupees on the second square, 4 on the third square, 8 on the fourth square and so on, until you have covered all 64 squares. Each square should have twice as many rupees as the previous square ' The king thought this to be too less and asked the farmer to think of some better reward, but the farmer didn't agree.

How much money has the farmer earned?

[Hint The following table may help you. What is the first square on which the king will place at least 10 lakh?]

If $p,q,r$ and $s$ are in AP, then which of the following is true?

For which value of p does the pair of equation given below has unique solution?

4x + py + 8 = 0

2x + 2y + 2 = 0

Factorise $x^2+4x+4$.

The base of an isosceles triangle measures 80 cm and its area is 360 $c{m}^2$ Find the perimeter of the triangle.

A circle of radius r has a centre O. What is the first step to construct a tangent from a generic point P which is at a distance r from O?

If $\overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{c}$ are three non-coplanar vectors, then $(\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c})\cdot \left[\right(\overrightarrow{a}+\overrightarrow{b})\times (\overrightarrow{a}+\overrightarrow{c}\left)\right]$ equals

Show that every positive even integer is of the form $2q,$ and that every positive odd integer is of the form $2q+1,$ where q is some integer.

Match the following.
$\begin{array}{cc}i)\text{horizontal}& a)\text{is the angle between line of sight and the horizontal}\\ \text{level}& \text{level when the object is above the horizontal line}.\\ ii)\text{line of sight}& b)\text{is the line running parallel to the plane on}\\ & \text{which the object is kept.}\\ iii)\text{angle of}& c)\text{is the line drawn from the eye of the observer to the}\\ \text{elevation}& \text{point in the object viewed by the observer.}\\ iv)\text{angle of}& d)\text{is the angle between line of sight and the horizontal}\\ \text{depression}& \text{level when the object is below the horizontal line.}\end{array}$

Question 63

Fill in the blanks to make the statement true.

$(-100)÷(-10)=$___ .

A tangent at any point on the circle is __ to the radius through the point of contact.

Find the roots of the quadratic equation $a{x}^2+bx+c=0$.

The number of integral values of a for which the quadratic equation (x+a)(x+1991)+1 = 0 has integral roots are

The highest power of x in a polynomial p(x) is called the ________ of the polynomial.

In the given triangle ABC, the point P is the intersection of all the medians. The length of AE is 24 cm. Then what is the length of AP?

The given figure shows a parallelogram ABCD. E is a point in AD and CE produced meets BA produced at point F. If AE= 4cm, AF= 8 cm and AB = 12 cm, find the perimeter of the parallelogram ABCD.

$sin{90}^{\circ }cos{0}^{\circ }+sin{88}^{\circ }cos{2}^{\circ }+sin{86}^{\circ }cos{4}^{\circ }+..............+sin{2}^{\circ }cos{88}^{\circ }+sin{0}^{\circ }cos{90}^{\circ }$

A computer manufacturing company ABC sells a computer to a distributor P for Rs 44000 including sales tax. The distributor P sells it to a retailer Q for Rs 43500 including sales tax and the retailer Q sells it to the customer for Rs 46800 if the rate of sales tax is 10%, find the cost price of the computer for the distributor P.

Mr.Harshal purchased $520$ shares of Face Value $₹10$ when the Market value of the share was $₹35$. Company had given a $20\%$ dividend. The rate of return on investment is _____.

In triangle ABC, if DE is parallel to BC, then which of the following is stated by Basic Proportionality Theorem?

In the given figure, AB is a tangent to the circle with centre O. If OP = PC, then $\angle OCP$ = ___.

A divisor of 1200 is selected at random. Find the probability that it is even.

The area of the triangle with vertices (a, b+ c), (b, c + a) and (c, a + b) is ___.

Water is flowing at the rate of 2.52 km/h through a cylindrical pipe into a cylindrical tank, the radius of whose base is 40 cm. If the increase in the level of water in the tank, in half an hour is 3.15 m, find the internal diameter of the pipe.

Which of the following is the median of a set of observations?

Find the image of point P (–3, 1) in the line 2 – 3 = 0.

The mean of the following distribution is 52. Determin the value of p.

A manufacturer sells a washing machine to a wholesaler for Rs.15,000. The wholesaler sells it to a trader at a profit of Rs.1,200 & the trader in turn sells it to a consumer at a profit of Rs.1,800.

If the VAT rate is 8% find the

The radius of the base of a right circular cone is 21 cm and its height is 20 cm. Find the curved surface area of the cone.

If the quadratic graph doesn’t have any real roots, then which of the following option is correct.

If two adjacent vertices of a parallelogram are (3, 2) and (-1, 0) and the diagonals intersect at (2, -5), then the other two vertices are

The sequence of all even numbers is a/an ___ arithmetic progression and that of the first 100 odd numbers is a/an ___ arithmetic progression.