Explore topic-wise InterviewSolutions in Current Affairs.

If 45 is subtracted from twice the greater of two numbers,it results in the other number.If 21 is subtracted from twice the smaller number,it results in the greater number.Find the numbers.

If tan $\theta$ = $\sqrt{3}$ then sec $\theta$ = ?

(a) $\frac{2}{\sqrt{3}}$ (b) $\frac{\sqrt{3}}{2}$ (c) $\frac{1}{2}$ (d) 2

Water in a canal, 5.4 m wide and 1.8 m deep, is flowing with a speed of 25 km/hr. How much area can it irrigate in 40 minutes, if 10 cm of standing water is required for irrigation?

In the given figure, O is the centre of the circle. AB is the tangent to the circle at the point P. If $\angle$ PAO = ${30}^o$ then $\angle$ CPB + $\angle$ ACP is equal to

(a) ${60}^o$ (b) ${90}^o$ (c) ${120}^o$ (d) ${150}^o$

Solve the following systems of equations graphically:

x + y = 6

x - y = 2

Show that the system of equations $2x-3y=5,6x-9y=15$ has an infinite number of solutions.

The area of a triangle is 5. Two of its vertices are (2, 1) and (3, -2). The third vertex lies on $y=x+3$. Find the coordinates of the third vertex.

Find the lengths of the arcs cut off from a circle of radius 12 cm by a chord 12 cm long. Also, find the area of the minor segment.

$[Take\pi =3.14and\sqrt{3}=1.73]$

For what value of p , x=3 will be a root of the equation p$x^2$ + 2x - 3 =0

The sum of a two digit number and the number obtained by reversing the order of the digits is 99. Find the number, if the digits differ by 3.

Find $\angle P$.

If $x=2+\sqrt{3},xy=1,$ then find $\frac{x}{2-x}+\frac{y}{2-y}$

Let $f\left(x\right)=\frac{\mathrm{kx}}{x+1},x\ne -1.$If $f\left(f\right(x\left)\right)=x$ for all $x$ $\ne$

$-1$, then the value of $k$ is

The given figure shows a triangle ABC in whcih AD bisects angle BAC. EG is perpendicular bisector of side AB which intersects AD at point F.

Prove that:

(i) F is equidistant from A and B.

(ii) F is equidistant from AB and AC.

Question 33

Fill in the blanks to make the statement true.

$(-157)\times (-19)+157=$ ___ .

Which of the following statements are true?

6x^2-x-2=0 , x=-1/2,2/3

In the given figure, ∠ABC = ${90}^{\circ }$ and BM is a median, AB = 8cm and BC = 6 cm. Then, choose the correct option(s).

The adjacent figure shows two arcs P and Q. Arc P is part of the circle with centre O and radius OA. Arc Q is a part of the circle with centre M and radius AM, where M is the mid-point of AB. Area enclosed by the arc AQB and chord AB

If A = $(a_{ij}{)}_{2\times 2}$ , where $a_{ij}$ = i + j, then A is equal to

Question 3

The length, breadth, and height of a room are 825 cm, 675 cm, and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.

Show that 3n ×4m cannot end with the digit 0 or 5for any natural numbers 'n ' and 'm'.

Prove that if x and y are odd positive integers then x square + y square is even but not divisible by 4

Original cost of an asset is Rs. 2,00,000 and depreciation is charged at written down value. Calculate the amount of depreciation for the next 4 years, if the year ending is 31st December in each of the following conditions
(i) The rate of depreciation is 10 % per annum and the asset was purchased on 1st January.
(ii) The rate of depreciation is 10 % per annum and the asset was purchased on 1st April.
(iii) The rate of depreciation is 10 % and the asset was purchased on 1st October.

In the given frequency distribution, what is the third value in cumulative frequency of lesser than type?
$\begin{array}{cc}\text{Age in years}& \text{Number of people}\\ 15& 3\\ 16& 8\\ 17& 10\\ 18& 10\\ 19& 5\\ 20& 4\end{array}$

A bag contains 3 red balls and 4 blue balls. If a ball picks from the bag, the probability of it being a red ball is .

The diameter of a roller 84 cm long is 1.5 m. If it takes 100 revolutions to level a playground, find the cost of levelling this ground at the rate of ₹ 0.50 per square metre.

In fig., if PQ $\parallel$ BC and PR $\parallel$CD, then, $\frac{AR}{AQ}$=

A shopkeeper buys a raw material for Rs. 2000 and spends Rs. 400 on its decoration and packing. If he sold the article for Rs. 3200 including 16% sales tax then, find his profit percent.

Factorise x^2+8 by splitting middle term.

The marked price of two articles A and B together is Rs. 6000. The sales tax on article A is 8% and on article B is 10%. If on selling both the articles, the total sales tax collected is Rs. 552, the marked price of article A and B are

A cylinder of circumference 8 cm and length 21 cm rolls without sliding for $4\frac{1}{2}$ seconds at the rate of 9 complete rounds per second.

Find:

(i) the distance travelled by the cylinder in $4\frac{1}{2}$ seconds, and

(ii) the area covered by the cylinder in $4\frac{1}{2}$ seconds.

Find the greatest no.of 5-digits exactly divisible by 12, 15, 36.

In the following figure, O is centre of the circle and $\Delta ABC$ is equilateral. Which of the following is true?

1. 14

Triangle ABC is similar to triangle PQR. The bisector of angle BAC meets BC at point D and the bisector of angle QPR meets QR at point M. Which of the following is correct?

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

$2x-3<x+2\le 3x+5;x\in R.$

In the figure, AC = 10 cm, PC = 15 cm, AB = 8 cm, find PB.

The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Their present ages are

Which of the following pairs of equations represent inconsistent system?

Find the zeros of the polynomial $f\left(x\right)=x^3-5x^2-16x+80$, if its two zeros are equal in magnitude but opposite in sign.

In the figure AC is the diameter of circle, with centre O, chord BD is perpendicular to AC.

Write down the angles p, q, r in terms of .

The perimeter of a right angled triangle with integral sides and 5 as the largest side is