Explore topic-wise InterviewSolutions in Current Affairs.

Find the L.C.M. of (a*a*b), (a*b*b) and (a*b).

Two concentric circles are of diameters $30cm$ and $18cm$. Find the length of the chord of the larger circle which touches the smaller circle.

A cake weighing 2 pounds is divided equally between 3 children. The weight of the cake each student gets is .

Point A and B have co-ordinates (7, -3) and (1, 9) respectively. Find :

(i) the slope of AB.

(ii) the equation of perpendicular bisector of the line segment AB. (iii) the value of ‘p’ of (-2, p) lies on it.

A circus tent is cylindrical to a height of 8 m surmounted by a conical part. If total height of the tent is 13 m and the diameter of its base is 24 m; calculate: (i) total surface area of the tent, (ii) area of canvas, required to make this tent allowing 10% of the canvas used for folds and stitching.

If $T_n=78$, where $T_n$ denotes the $n^{th}$ term the following AP:
3, 8, 13, 18, . . . , then n = ___

Apurva buys a mobile at a discount of $30\%$ from the wholesaler, the printed price of the mobile being ₹ 2000 and the rate of sales tax is $6\%$. Apurva sells it to a buyer at the printed price and charges tax at the same rate. Find the VAT paid by the Apurva .

Sohail opened a recurring deposit account in Union bank and he deposits ₹ 150 per month for a time period of 8 months. He receives ₹ 1236 at the time of maturity. What is the rate of interest?

In an AP of 50 terms the sun of first 10 terms is 210 and the sum of last 15 terms in 2565.Find the AP

In the given figure, a semicircle is drawn on the hypotenuse of the right-angled triangle. Another arc of radius 30 cm is drawn passing through A and C with O as the center. What is the area of the shaded region? (Take $\pi$ as 3.14 and $\sqrt{3}$ = 1.732)

A tank fills completely in 2 hours if both the taps are open. If only one of the taps is open at the given time, the smaller tap takes 3 hours more than the larger one to fill the tank. How much time does each tap take to fill the tank completely?

The probability of the month of August in any year having five Monday's is 3/7

How is that so?

Rahul's father is $26$ years younger than Rahul grandfather and $29$ years older than Rahul. The sum of the ages of all the three is $135$ years. What is the age of each of them?

Find the value of x, if the mode of the given data is 15:

15, 20, 18, 25, 14, 15, 25, 15, 18, 16, 20, 25, 20, x, 18

If both 20 and 18 are changed to 25, find the new mode of the data.

A right circular cylinder of radius r cm and height h cm (h>2r) just enclosed a sphere of diameter

$\Delta ABC$ is right angled at C with sides AB = 10 cm and AC = 6 cm. Find cos($\angle$B).

The angle between the tangent at a point on a circle and the radius at the point of contact is

A chocolates box is in the shape of a square. Each chocolate takes 1 square cm of area. Another box of chocolates which is in the shape of square has 211 more chocolates than the first box. Find out the number of chocolates in the first box.

In Fig., the area of triangle ABC (in sq.units) is:

In which of the following cases with the demand for a commodity be more elastic?

The equation of a plane passing through the line of intersection of the planes $x+2y+3z=2$ and $x-y+z=3$ and at a distance$\frac{2}{\sqrt{3}}$from the point (3,1,-1) is

The median class for the following data is
$$\begin{array}{cccccc}Marks& Below10& Below20& Below30& Below40& Below50\\ No.ofstudents\left(cf\right)& 5& 10& 23& 31& 40\end{array}$$

Anita is hosting a birthday party for her friends. She decided to make some conical party hats for her ten friends. The party hats are of height 24 cm with a radius of 7 cm made out of party paper. What is the total cost of the party paper if it costs $₹0.035perc{m}^2$?

In Fig. 7.179, DE || BC
(i)If DE= 4 cm, BC = 6cm and Area $\left(\Delta ADE\right)=16c{m}^2$, find the area of $\Delta ABC$.
(ii) If DE =4 cm, BC = 8 cm and Area $\left(\Delta ADE\right)=25c{m}^2$, find the area of $\Delta ABC$.
(iii) If DE : BC = 3 : 5. Calculate the ratio of the areas of $\Delta ADE$ and the trapezium BCED.

Fill in the blank with a modal auxiliary showing advice.
Ritika said to Kavita, “You ______ go and meet your ailing grandfather as soon as possible.”

Which of the following cannot be the sides a right triangle?

The value of sin²20^o + cos²20^o-tan²45^o is

The angle which is 8 times it's compliment is ?

Three unbiased coins are simultaneously tossed. The probability of getting at the most 2 heads is

Question 1 (i)
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

$p\left(x\right)=x^3-3x^2+5x-3,g\left(x\right)=x^2-2$

The sides of a triangle of area 40$\sqrt{3}$ sq.cm are 10 , 6+x , 4+x . Find x

A point P (3, 5) is reflected in line y + 4 = 0 to form the image P'. Find the coordinates of P'.

The terms of an A.P. are governed by the rule t_n = 2n - 3 for n ≥ 1. What will be the term in the 50^th place?

The diagonal of a rectangle is 12 cm and makes an angle ${35}^{\circ }$ with one side .Then the area of the rectangle is $[sin{35}^{\circ }=0.57,cos{35}^{\circ }=0.81]$

For the equation of straight line $3x-2y+5=0$, slope = .

Rewrite the statement in the form of conditional statements 2b = a + c, if a, b and care in AP.

Evaluate: $\sqrt{1-i}$

An iron spherical ball of radius 21cm is melted and re-casted into hemispheres of radius 7cm. The number of balls formed will be

Calculate the mean for the following distribution:
x : 5 6 7 8 9
f : 4 8 14 11 3

Solve the following systems of equations:

$23x-29y=98$

$29x-23y=110$