Explore topic-wise InterviewSolutions in Current Affairs.

Question 1 (ii)
In an isosceles triangle ABC, with AB = AC, the bisectors of $\angle Band\angle C$ intersect each other at O. Join A to O. Show that:
AO bisects $\angle A$

A 1.8 m tall man is standing at some distance from a 31.8 m tall building. The angle of elevation from his eyes to the top of the building increases from ${30}^{\circ }$ to ${60}^{\circ }$ as he walks towards the building. Find the distance he walked towards the building

Question 5 (c)

Which of the following numbers are co-prime:
30 and 415

If ($sec\theta$ $-$ $tan\theta$) = $\frac{1}{3}$, the value of ($sec\theta$ $+$ $tan\theta$) is:

Question 99(iii)

Find the value of x, so that:
$(2^{-1}+4^{-1}+6^{-1}+8^{-1}{)}^x=1$

Consider a grouped data distribution for which the mean is found by assumed mean method.

P = sum of the products of ‘d’ and frequency for each class interval

Here $d_i=x_i-A$

Q = total number of observations

A = assumed mean

M = mean of given grouped data distribution

Which of the following statements is true?

Question 95

Solve the following:

Express $\frac{16}{81}and\frac{-16}{81}$ as powers of rational number.

Given that sin (A + B) = sin A cos B + cos A sin B, find the value of sin 75

Which among the following is a binomial of degree 100?

Which of the following is the mode of a set of observations?

Find the arithmetic mean of :

(i) -5 and 41

(ii) 3x - 2y and 3x + 2y

(iii) $(m+n^2)and(m-n{)}^2$

What is meant by secant of a circle ?( Not in terms of trigonometric ratios but with respect to a circle)

Question 11
In the following figure, E is a point on side CB produced, of an isosceles triangle ABC, with AB = AC. If AD $\perp$ BC and EF $\perp$ AC, prove that $\Delta ABD\sim \Delta ECF$.

Which of the following is the expression of 4025 as a product of prime factors?

Product of two integers can be:

If m is the AM of two distinct real numbers l and n(l, n > 1) and $G_1,G_2$ and $G_3$ are three geometric means between l and n, then $G_1^4+2G_2^4+G_3^4$ equals

Find the angle of inclination of a straight line whose slope is $\frac{1}{\sqrt{3}}$.

A,B and C working together can plough a field in 24/5 days. A and C Together can do it in 8 days . How long would B working alone take to plough tthe field?

The front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown in the given figure. Eight such spheres are used for this purpose and are to be painted silver.
Each support is a cylinder of radius 1.5 cm and height 7 cm and is to be painted black.
Find the cost of paint required if silver paint costs 25 paise $perc{m}^2$ and black paint costs 5 paise $perc{m}^2$.

Given line APB meets the axis at A, y-axis at B. P is a point (-4, 2) & AP : BP = 2 : 1. Write down the coordinates of A and B.

If a pool has to be constructed with a boundary of width 14 m consisting of two straight sections 120 m long joining semi-circular ends whose inner radius is 35 m. If the cost of flooring the boundary by tiles is Rs 50 per square metre, then the cost incurred will be

The image of the point (-7, -9) when refleceted in the Y axis is ___

sum of the digit of two digits number is 8 the digit in tens place is thrice the digit in unit place find the number

Look at the given Table and identify the correct Histogram which can be made using the data.

$\begin{array}{cc}\text{Marks}& \text{No.of students}\\ 0-10& 2\\ 10-20& 5\\ 20-30& 9\\ 30-40& 4\\ 40-50& 6\end{array}$

Take SCALE as : X-axis - 1cm = 10 Marks and Y-axis - 1cm = 2 students

A tangent is a secant with which of the following properties?

Show that one and only one out of n, n + 2 or n + 4 is divisible by 3, where n is any positive integer. [4 MARKS]

A conical solid of radius 7 cm and height 21 cm is melted to form a wire. The area of the cross-section of the wire is 11 cm². (Use π = ²²/₇)

What is the length of the wire?

The x and y intercepts of the line 2x + 3y =12 are

Which term comes next in sequence: AC, FH, KM, PR, ?

The diameter of a copper sphere is 6 cm. The sphere is melted and recast into a wire. If the length of the wire is 36 cm, its radius is

What is the distance between the point B and the centroid of the triangle whose vertices are A(0, 0), B(3, 0) and C(0, 4)

Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal of the field and saved a distance equal to half of the longer side. The ratio of shorter side of the rectangle to the longer side is :

The equation of a line passing through the intersection of lines x = 0 and y = 0 and through the point (2, 2), is .

Prove that

$\sqrt{\frac{sec\theta -1}{sec\theta +1}}+\sqrt{\frac{sec\theta +1}{sec\theta -1}}=2cosec\theta$

In an A. P., ten times of its tenth term is equal to thirty times of its ${30}^{th}$ term. Find the ${40}^{th}$ term.

A manufacturer marks an article for Rs.5,000. He sells it to a wholesaler at a discount of 25% on the marked price & the wholesaler sells it to a retailer at a discount of 15 % on the market price. The retailer sells it to a consumer at the marked price & the vat at each stage is 8 %. Calculate vat received by the government from the whole seller & retailer.

The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 40 cm and 9 cm is: