Explore topic-wise InterviewSolutions in Current Affairs.

A line segment AB intersects a circle at two distinct points C and D as it passes through its centre, as shown in the figure. The line, whose segment is AB, is a:

Find the probability of obtaining a number greater than 3 when a die is thrown.

Question 5
Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

In a cricket match, a batsman hits a boundary 6 times out of the 30 balls he plays. Find the probability of him not hitting a boundary on the balls he plays.

Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?

Length, breadth and height of a cuboidal tank are in the ratio of 6:2:1. The lateral surface area of the tank is 400 sq.m. Find
i) Volume of the tank.

ii) If water flows into the tank at a rate of 10 cubic meter per minute, calculate the no. of hours for the tank to get completely filled. [4 MARKS]

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $\angle DBC={70}^{\circ },\angle BAC={30}^{\circ }$ and AB = BC, find $\angle ECD$.

Question 13
A wall 24 m long, 0.4 m thick and 6 m high is constructed with the bricks each of dimensions $25cm\times 16cm\times 10cm$. If the mortar occupies $\frac{1}{10}th$ of the volume of the wall, then find the number of bricks used in constructing the wall.

The mean of the first five multiples of 5 is ___

If the $t^{\text{th}}$ term of an AP is $s$ and $s^{\text{th}}$ term of the same AP is $t,$ then $a_n$ is ___.

The product of 2 consecutive natural numbers is 56. Solve this problem using completing the square method of quadratic equation. Write the equation obtained after completing the square and also write the smaller of the 2 consecutive positive integers.

If A = (a, b, c), B = (x, y, z). Find B $\times$ A

Ten years ago,the sum of the ages of 2 sons was one third of their father's age. One son is 2 years older than the other and sum of their present ages is 14 years less than the father's present age. Find the present ages of all

The students of a class are made to stand in complete rows. If one student is extra in a row there would be 2 rows less and if one student is less in a row there would be 3 more rows. Find the no. of students in the class.

The average weight of a class having 100 students is 40 kg. The number of boys in the class is 60 and the number of girls is 40. The average weight of boys is 45. Find the average weight of girls.

Charu bought a laptop being sold at a discount of $15\%$ on the printed price. The printed price of that laptop was ₹$75000$. $18\%$ GST was charged on the discounted price. What amount did Charu pay to buy the laptop?

Direct taxation is a better form of taxation because:

Given $A=\left[\begin{array}{cc}2& 0\\ -1& 7\end{array}\right]andI=\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right]$ and $A^2=9A+mI$. Find m.

Quotient and remainder of a polynomial when divided by x+2 are 2x-1 and 3 respectively. Find the polynomial.

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Geeta paid Rs. 27 for a hook kept for seven days. while Mohit paid Rs. 21 for the book he kept for five days. Find the fixed charges and the charge for each extra day.

In an equilateral triangle ABC, if AD $\perp$ BC, then:

Which of the following complementary trigonometric ratios are not defined at 0°?

If two vertices of an equilateral triangle are (3, 0) and (6, 0), find the third vertex.

OR

Find the value of k, if the points P (5, 4), Q (7, k) and R (9, -2) are collinear.

Solve the following inequation and represent the solution set on the number line :

$4x-19<\frac{3x}{5}-2\le \frac{-2}{5}+x,x\in R$

Given that, three consecutive terms of an A.P. are the lengths of the sides of the triangle. If the perimeter of the triangle is 6 m, find the middle term of the three consecutive terms.

A store is thrown vertically downwards and the formula d = $16t^2$ + 4t gives the distance, d metres, that it falls in t seconds. How long does it take to fall 420 metres ?

What is the order of the determiners used in the sentences?
The rebels wore headscarves and descended from those hills. A few rebels went southwards. Our nation plunged into darkness.

The angle of depression from the top of a tower 12 m high, at a point on the ground is 30^o. The distance of the point from the top of the tower is:

A footpath of uniform width runs around the inside of a rectangular field 12 m long and 14 m wide. If the path occupies $56m^2$, the second degree equation from which we can find the width of the path is ______.(Take width = x)

Find the solution of the graph $3x^2+4x–4$

$co{t}^4\theta -ta{n}^4\theta$=?

In fig, $AD$ is the angle bisector of $\angle A$. If $BD=4cm,DC=3cm$ and $AB=6cm$, determine $AC$.

Express the ratios $\sin A$ and $\cos A$ in terms of $\tan A$.

In the famous bollywood movie Sholay, Jai uses a coin in which both the faces are same i.e., heads. Jai always uses this coin to settle disputes with his friend named Viru by tossing it. In the case of a toss, Jai always calls heads. What is the probability that Jai will win the toss?

In a class, teacher gave a statement: sinA + cos B =x, cosA - sinB =y. Then Ajit came forward saying that $x^2+y^2=2$. What can be said about Ajit's statement?

Factorize $z^2+3\sqrt{3}z-12$ and verify the relationship between zeroes and coefficient [2 MARKS]

A,B,C are the three vertices of a triangle such that they are equidistant from the origin. A and B lie on the positive Y and X axes respectively and C lies on the line y + x = a. If AB = $\sqrt{2}$a, find the area of the triangle.
(C lies in the first quadrant)