Explore topic-wise InterviewSolutions in Current Affairs.

Which term of the A.P. -2,-7,-12, ... will be -77?Find the sum of this A.P. upto the term -77.

If $(cos\theta +sin\theta )=\sqrt{2}sin\theta$, prove that $(sin\theta -cos\theta )=\sqrt{2}cos\theta$.

For which value(s) of λ, do the pair of linear equations λx + y = \lambda ^{2} and x + λy = 1 have

(i) no solution?

(ii) infinitely many solutions?

(iii) a unique solution?

Solve the following systems of equations:

$\frac{2}{3x+2y}+\frac{3}{3x-2y}=\frac{17}{5}$

$\frac{5}{3x+2y}+\frac{1}{3x-2y}=2$

If cot $\theta =\frac{1}{\sqrt{3}}$,show that $\frac{1-co{s}^2\theta }{2-si{n}^2\theta }=\frac{3}{5}$

A bucket has top and bottom diameters of 40 cm respectively. Find the volume of the bucket if its depth is 12 cm. Also, find the cost of tin used for making the bucket at the rater of Rs.1.20 per $d{m}^2$ (Use $\pi$= 3.14)

Complete the following sentence: "Mode is_______."

A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will not be a white marble?
(a) $\frac{1}{3}$ (b) $\frac{4}{9}$ (c) $\frac{7}{9}$ (d) $\frac{2}{9}$

The difference between two numbers is 5 and the difference between their squares is 65.Find the numbers.

The product of $3^{rd}$ and $8^{th}$ terms of a G.P. is 243. If its $4^{th}$ term is 3, find its $7^{th}$ term.

The first term of a GP is -3 an the square of the second term is equal to its 4th term. Find its 7th term.

A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed.

Find the missing terms in the AP______, 3,_______, -5.

A random variable X has the following probability distribution.
$\begin{array}{ccccccccc}X& 0& 1& 2& 3& 4& 5& 6& 7\\ P\left(X\right)& 0& k& 2k& 2k& 3k& k^2& 2k^2& 7k^2+k\end{array}$
P(X<3)

What number should be added to $x^2+12x$ to make it a perfect square?

Find the value of k for which the lines kx - 5y + 4 = 0 and 5x - 2y + 5 = 0 are perpendicular to each other

Prove that:

sin²A / (tan²A-sin²A) = 3

1^3+2^3+3^3+......+n^3= ???

Find the sum of all multiples of 7 lying between 300 and 700.

A bag contains 10 blue balls and 12 yellow balls. What is the probability of getting a yellow ball ?

If the angles of depression from the top of a tower of height 40 m to the top and bottom of a tree are 45^o and 60^o respectively, then the height of the tree is

Evaluate :
$\frac{sin18°}{cos72°}$___

Which of the following matrices should be multiplied with the matrix representation of a point so that the point moves twice the distance further away?

Define graph of a function f.

The following table shows number of males and females of a locality in different age groups.

$\begin{array}{cccc}\text{Age in years}& 10-20& 21-50& \text{Above}50\\ \text{Male}& 12& 16& 4\\ \text{Female}& 8& 14& 6\end{array}$

Find the mean of the following distribution, by step deviation method.

A contractor plans to install two slides for the children to play in a park for elder children. She wants to have a steep slide at a height of 6 m and inclined at an angle of ${60}^{\circ }$ to the ground. What should be the length of the slide (in m)?

The rario between the altitudes of two similiar triangles is 3:5.

Write ratio between their:

( i ) Medians

( ii )Perimeters

( iii )Medians

If the vertices of a triangle are (1,-3), (4,p) and (-9,7) and it's area is 15 sq.units, find the value of p

Mr. Raj deposited ₹800 per month in a recurring account for a time period of 1 year at the rate of 10% per annum. What is the amount that he will receive at the time of maturity?

When any natural number is divided by 10, what is the sum of all possible remainders?.... Please also explain the meaning of the question.

if α and βare zeroes of polynomial ax2+bx+c then find 1/aα+b + 1/aα+b

The common difference of the $AP\frac{1}{p},\frac{1-p}{p},\frac{1-2p}{p}$,.... is

In the figure given below, AR is a tangent to the circle. AM is the secant. Find the length of PM, if AR = 6 cm and AP = 2 cm.

If in a right triangle, cot θ = ⁵/₁₂ (Where θ is an acute angle) then sin θ is equal to :

Which measure of central tendency is obtained graphically by the point of intersection of less than and more than ogives

Out of the families having 3 children, a family is chosen random. Find the probability that the family has

Exactly 1 girl

At least 1 girl

At most 1 girl

The circumference of the front wheel of a cart is 30ft long and that of the back wheel is 36ft long. What is the distance travelled by the cart when the front wheel has done five more revolutions than the rear wheel?

A plane left 30 min lets than its usual schedule inorder to reach the destination at time he increases speed more 100km/h than its usual speed.Find its usual speed

Divide

a) 3x⁴4x8x1

If two towers of height $h_1$ and $h_2$ subtend angles ${45}^{\circ }$ and ${30}^{\circ }$ respectively at the midpoint of the line joining their feet, then find the ratio of $h_1:h_2$.

In the figure find TP if AT = 16 cm and AB = 12 cm.

In the adjoining figure AB || CD, If ∠1 : ∠2 = 3 : 2, then ∠6 is:-

PROVE THAT (n²-n)IS DIVISIBLE BY 2 FOR EVERY POSITIVE INTEGER n

A consumer wants to consume two goods. The prices of the two goods are Rs. 4 and Rs. 5 respectively. The consumer's income is Rs. 20.

(i) Write down the equation of the budget line.

(ii) How much of good 1 can the consumer consume if she spends her entire income on that good?

(iii) How much of good 2 can she consume if she spends her entire income on that good?

(iv) What is the slope of the budget line ?

Find the common difference of the given AP.

-1, -3, -5, -7, ...