Explore topic-wise InterviewSolutions in Current Affairs.

Find the median class for the given distribution:
$\begin{array}{cccccc}Weeklywages(inRs.)& 0-100& 100-200& 200-300& 300-400& 400-500\\ No.ofworkers& 40& 39& 34& 30& 45\end{array}$

If the ratio of the arc AB to the circumference of a circle is 1:3,then measure of the angle subtended by the arc at the centre is

In a data some particular observation has not occurred, then the frequency for that observation is ___

If alpha ,beta are the zeros of the polynomial P(x)=x^2-p(x+1)-c such that (alpha+1)(beta+1)=0 . What is the value of c

The data below shows the number of times of all outcomes of a dice. Find the frequency of getting a number greater than 2 but less than or equal to 5.

those opting for software (in lakhs)

The infinite product $x^{\frac{1}{2}}.x^{\frac{1}{4}}.x^{\frac{1}{8}}...........$ equals ___.

Let $x=\frac{p}{q}$ be a rational number, such that the prime factorization of q is not of the form $2^n{5}^m$, where n, m are non-negative integers. Then, x has a decimal expansion which is ____________.

$\{\frac{(si{n}^2{22}^o+si{n}^2{68}^o)}{(co{s}^2{22}^o+co{s}^2{68}^o)}+si{n}^2{63}^o+cos{63}^{o}sin{27}^o\}$ = ?

(a) 0 (b) 1 (c) 2 (d) 3

The volumes of two cubes are in the ratio $8:27$. Find the ratio of their surface areas.

tan $5^o$ tan ${25}^o$ tan ${30}^o$ tan ${65}^o$ tan ${85}^o$ = ?

(a) $\sqrt{3}$ (b) $\frac{1}{\sqrt{5}}$ (c) 1 (d) none of these

Solve each of the following quadratic equations:
$x^2=18x-77$

While boarding an aeroplane, a passenger got hurt. The pilot showing promptness and concern, made arrangements to hospitalise the injured and so the plane started late by 30 minutes to reach the destination, 1500 km away in time, the pilot increased the speed by 100km/hr. Find the original speed/hour of the plane.

A fez, the cap used by the Turks, is shaped like the frustum of a cone. If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. $[Use\pi =22/7.]$

In the given figure, find the area of the shaded region in the given figure, if ABCD is a square of side 14 cm and all circles are of the same diameter.

Find the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm.

$cos{60}^{\circ }cos{30}^{\circ }-sin{60}^{\circ }sin{30}^{\circ }$

If two tangents inclined at an angle ${60}^{\circ }$ are drawn to a circle of radius $3cm,$ then the length of each tangent is
(A) $\frac{3}{2}$$\sqrt{3}cm$
(B) $6cm$
(C) $3cm$
(D) 3 $\sqrt{3}cm$

The catalogue price of a colour T.V. is Rs.24,000. The shopkeeper gives a discount of 8% on the listed price and a further off season discount of 5% on the balance.

But sales tax is charged at 10% on the remaining amount. Find the final price he has to pay for the colour T.V

If -5 is a root of the quadratic equation $2x^2+px-15=0$ and the quadratic equation $p(x^2+x)+k=0$ has equal roots. The value of k is ___.

What is the coefficient of $z$ in $(z-5{)}^3$?

$1-3co{s}^{2}Asi{n}^{2}A=$ _______.

A recurring deposit account of Rs 1,200 per month has a maturity value of Rs 12,440. If the rate of interest is 8% and the interest is calculated at the end of every month; find the time (in months) of this Recurring Deposit Account.

If a chord subtends an angle of ${90}^{\circ }$ at any point of the circumference of the circle. The name of the chord is __.

If $h$ stands for the hypotenuse, $a$ and $b$ stand for the perpendicular sides of a right-angled triangle, then which of the following is true?

In a right triangle ABC in which $\angle B={90}^{\circ }$, a circle is drawn with AB as diameter intersecting the hypotenuse AC at P. Prove that the tangent to the cirlle at P bisects BC.

Two A.P. s have the same common difference. The first term of one A.P. is 2 and that of the other is 7. The difference between their 10th terms is the same as the difference between their 21st terms, which is the same as the difference between any two corresponding terms. Why?

Question 2 (iii)
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

$0,\sqrt{5}$

Which of the following is a factor of $x^{10}-1$ and also of $x^{11}-1$ ?

Solve the following quadratic equation using quadratic formula .

$9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0$

Which of the following statement is / are correct for equation 2x - 3y + 5 = 0?

1. Slope of the straight line is $\frac{2}{3}$.

2. x-intercept of the straight line is $\frac{-5}{2}$.

3. y-intercept of the straight line is $\frac{5}{3}$.

If p,q & r are the roots of a cubic polynomial $a{x}^3+b{x}^2+cx+d$, then what will be p+q+r?

A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the distance of the pole to the peg in the ground, if the angle made by the rope with the ground level is ${30}^{\circ }$.

In a right triangle ABC, right-angled at B, D is a point on hypotenuse such that $BD\sim AC$. If $DP\sim AB$ and $DQ\sim BC$ then prove that

(a) $D{Q}^2=DP.QC$

(b) $D{P}^2=DQ.AP$

If $AD\perp BC$, prove that ${AB}^2+{CD}^2={BD}^2+{AC}^2$. [2 MARKS]

If a circle is drawn with centre 'C' (0,5) and radius 13 cm as shown in figure, then the coordinates of R and S are___

In a right triangle $△$ABC right angled at B, BD is a perpendicular, dropped onto the hypotenuse. If $AC=2AB$ and area of $△$ABC $=5$ sq. units, what is the area of $△$ABD?

Represent the following pair of equations graphically and write the coordinates of points where the lines intersect y-axis

x + 3y = 6

2x - 3y = 12

Passing through the point (- 4, 3) with slope $\frac{1}{2}$

1. 270

A bag contains tickets number 1 to 30. Three tickets are drawn at random from the bag. What is the probability that the maximum number of the selected tickets exceeds 25?

Or

Out of 9 outstanding students in a college, there are 4 boys and 5 girls. A team of four students is to be selected for a quiz programme. Find the probability that:

(i) two are boys and two are girls.

(ii) one is boy and three are girls.

Factorise :

$a^2+10a+24$

If the interest is calculated half-yearly , then the interest is credited to your account every ___ months.

Find the median of the following cumulative frequency distribution:
$\begin{array}{ccc}\text{x}& \text{frequency}& \text{Cumulative frequency}\\ 22& 1& 1\\ 34& 2& 3\\ 39& 2& 5\\ 45& 8& 13\\ 54& 8& 21\\ 56& 9& 30\\ 68& 4& 34\\ 78& 4& 38\\ 84& 2& 40\end{array}$

The area of a square field is 65536m²

^{Find the cost of fencing it at the rate of Rs. 5 per metre}