Explore topic-wise InterviewSolutions in Current Affairs.

A line passes through the point (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is

Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted to form a single solid sphere. Find the radius of the resulting sphere(in cm).

A bag contains 6 red, 8 black and 4 white balls. A ball is drawn at random, What is the probability that the ball drawn is not black?

Find the MP, if
SP $=Rs.9250$ and discount = $7\frac{1}{2}\%$

Find the greatest number which divies 285 and 1249 leaving remainders 9 and 7 respectively.

A square is inserted inside a circle such that the corners of the square coincide with the circumference of the circle. If the diameter of the circle is d, the area of the shaded part is ____$c{m}^2$.

If the equation $x^2+2(k+2)x+9k=0$ has equal roots, then values of k are _____.

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate by step deviation method.
$\begin{array}{cc}\text{Literacy rate (in \%)}& \text{No. of cities}\\ 44-55& 3\\ 55-65& 10\\ 65-75& 11\\ 75-85& 8\\ 85-95& 3\end{array}$

Find the roots of the following equation, if they exist, by applying the quadratic formula:
$x^2-(\sqrt{3}+1)x+\sqrt{3}=0$

Prove the following trigonometric identities:

$\frac{sin\theta }{1-cos\theta }=cosec\theta +cot\theta$

The sum of first 40 positive integers divisible by 6 is
(a) 2460 (b) 3640 (c) 4920 (d) 4860

A vertical stick 10 cm long casts a show 8 cm long. At the same time a tower casts a shadow 30 m long. Determine the height of the tower.

Two number differ by 3 and their product is 504. Find the number

In the figure, given below, AD = BC,

$\angle BAC={30}^{\circ }$ and

$\angle CBD={70}^{\circ }$. Find $\angle BCD$

Draw the graphs of x - y + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and x-axis and shade the triangular area. Calculate the area bounded by these lines and x-axis.

A die and 2 coins are tossed simultaneously. If a head is given a number 1 and a tail a number 0 and each number on the die represents the number itself. Find the probability of getting a sum greater than 5.

Prove that cos${72}^{\circ }$ cot${18}^{\circ }$ = cos${18}^{\circ }$

Question 33

Which of the following is not the reciprocal of ${\left(\frac{2}{3}\right)}^4$ ?

(a) ${\left(\frac{3}{2}\right)}^4$

(b) ${\left(\frac{3}{2}\right)}^{-4}$

(c) ${\left(\frac{2}{3}\right)}^{-4}$

(d) $\frac{3^4}{2^4}$

Show that the square of any positive integer is either of the form 4q or 4q+1, for some integer q.

Question 9
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

A) 10
B) 100
C) 504
D) 2520

Solve: $\frac{5}{2+x}$ + $\frac{1}{y-4}$ = 2;

$\frac{6}{2+x}$ - $\frac{3}{y-4}$ = 1

The H.C.F. of $16a^2{b}^3{x}^4{y}^5$, $40a^3{b}^2{x}^3{y}^4$ and $24a^5{b}^5{x}^6{y}^4$ is .

If HCF of 65 and 117 can be expressed in the form 65m+117n, find the value of m and n.

Find the zeroes of the polynomial xsquare -3 and verify the relationship between the zeroes and the coefficients

6 boys and 3 girls are randomly placed in a row. Determine the probability of no two girls being placed adjacently.

If a:b = 7 : 3, find (2a + 3b) : (6a + 7b)

Three unbiassed coins are tossed together. What is the probability of getting

1) 2 heads

2) at least2 heads

3) at most 2 heads

Against which of the following bank deposits can a cheque be issued?

If point C lies on the line y-x=0 & is 5 units away from the origin, what are its co-ordinates.

Two cones have the same volume and their base radii are in the ratio $3:4$. What is the ratio of their heights?

The length of a minute hand of a wall clock is 7 cm. What is the area swept by it is 30 minutes?

The salary of an officer has been increased by 50%. By what percent must be reduced to restore 10% of the original salary

Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.

Problem figures:

ABCD is a rhombus. The coordinates of A and C are (4, 7) and (-2, 3) respectively. Write the equation of line BD.

The largest sphere is carved out of a cube of a side 7 cm. Find the volume of the sphere. (Approximate value)

A dividend of 12% was declared on Rs 150 shares selling at a certain price. If the rate of return is 10%, calculate :

(i) the market value of the shares.

(ii) the amount to be invested to obtain an annual dividend of Rs 1,350.

Directions:- Study the following information carefully to answer the question given below.

Vikas, Uday and Tushar are seated around a regular hexagonal table facing the centre. Amar, Bimla and Chetan are also seated around the same table but one of them is facing outside. Vikas is second to the left of Chetan. Uday is second to the right of Amar. Bimla is the third to the left of Tushar. Amar is seated next to Vikas.

Which of the following is Amar's position with respect to Uday?

Solve the equation 4$x^2$+ 7x = 1 by the method of completing the square. In one of the options, one of the roots and the converted form of the equation, after completing the square is given. Select this option.

Solve: $4x-5>10-x,xϵ\{0,1,2,3,4,5,6,7\}$

Three squares are based on the sides of a right angled triangle. The area of the two smaller ones are 144 sq. cm and 256 sq. cm. What is the area of the third one?

Find the sum of the cubes of the first $n$ natural numbers.

Arrange the following equations based on the ascending order of sum of their roots.(Top to bottom direction)