Explore topic-wise InterviewSolutions in Current Affairs.

A triangle with sides 12, 16 and 20 units is given.

Statement 1: To find the area of this triangle, the formula "$Area=\frac{1}{2}\times base\times height$" is the ideal one to be used.

Statement 2: To find the area, the formula "$Area=\sqrt{s(s-a)(s-b)(s-c)}$" is the ideal one to be used.

​Enter “1” if you feel Statement 1 is correct, or “2” if Statement 2 is correct.
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For a pair of linear equations
$a_{1}x+b_1+c_1=0$ and $a_{2}x+b_2+c_2=0$
$a_1=12,b_1=2,c_1=6$ and $a_2=24,b_2=4,c_2=7$.
Find the number of solutions the pair of equations will have.

Question 46

Fill in the blanks to make the statements true.

The least number by which 72 be multiplied to make it a perfect cube is ___.

What is the probability that a number selected from the numbers 1, 2, 3, ..., 15 is a multiple of 4?

Find, whether or not the first polynomial is a factor of the second :

(i) $x+1,2x^2+5x+4$

(ii) $y-2,3y^3+5y^2+5y+2$

(iii) $4x^2-5,4x^4+7x^2+15$

(iv) $4-z,3z^2-13z+4$

(v) $2a-3,10a^2-9a-5$

(vi) $4y+1,8y^2-2y+1$

Pick a two digit number with distinct digits. Now, reverse the digits. Subtract the smaller number from the larger number. The sum of the digits of the difference obtained is always ____.

How many cubic metres of earth must be dug out to sink a well which is 20 m deep and has a diameter of 7 metres? If the earth so dug out is spread over a rectangular plot 28 m by 11 m. what is the height of the platform so formed?

$\text{Karuna bought 10 g gold for Rs.15756 including VAT at}1\%.\text{What is the rate of gold per 10 g ?}$

In the equation $2x+3y=6$ , if $x=3$ , then the value of $y$ is

What are the possible expresssions for the dimensions of the cuboid whose volume is $3x^2-12x$?

Factorize:

$(x+2)(x^2+25)-10x^2-20x$

Find the area of the above shown figure( in m²). Where ABE is an equilateral triangle, ABCD is a rectangle, arc BC, and arc AD are semi circle.

32 is not a ________ number.

The cost of 97 metre of cloth is Rs. 242.50.
What length of this can be purchased for Rs. 302.50 ?

A line segment has a

Question 42

Opposite faces of a cuboid are ___ in area.

Find the ${20}^{th}and{n}^{th}$ terms of the G.P.

$\frac{5}{2},\frac{5}{4},\frac{5}{8}...$

If the first and the $n^{th}$ term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that $P^2=(ab{)}^n.$

In the previous video, a ray was drawn at an acute angle to the line segment. The ray cannot be drawn at which of the following angles to the line segment to divide it in a certain ratio?

How to 40 students In a class 16 study English 22 accountancy and 26 economics 5 student study English and economics 14 students accountancy economics and 2 study all the three subjects if each student studies at least one of the three subjects find the number of students who study (1)English and accountancy(2) English accountancy but not economics?

In the figure, ABCD is a trapezium in which AB = DC and its diagonals AC and BD intersect at O. Then ar (∆AOD) is equal to

Prove this:

√(a^2+x^2) + √(b^2+y^2) = √((a+b)^2 + (x+y)^2)

The bisectors of any two adjacent angles of a parallelogram intersect at an angle of ___.

The square of 39 is ___ .

Convert the ratio 12:50 to a percentage.

$Ifx+\frac{1}{x}=12,\text{find the value of}x-\frac{1}{x}.$

Which of the following are perfect cubes ?
(i) 64 (ii) 216 (iii) 243 (iv) 1000 (v) 1728 (vi) 3087 (vii) 4608 (viii) 106480 (ix) 166375 (x) 456533

1. 6

Product of a number with its reciprocal gives ___.

Find each of the following products:
(i) $(x+6)(x+6)$
(ii) $(4x+5y)(4x+5y)$
(iii) $(7a+9b)(7a+9b)$
(iv) $(\frac{2}{3}x+\frac{4}{5}y)(\frac{2}{3}x+\frac{4}{5}y)$
(v) $(x^2+7)(x^2+7)$
(vi) $(\frac{5}{6}{a}^2+2)(\frac{5}{6}{a}^2+2)$

Question 12

A bought a tape recorder for Rs.8000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true?
(a) A and B earn the same profit
(b) A earns more profit than B
(c) A earns less profit than B
(d) Cannot be determined

Which among the given options is congruent to the following triangle?

Construct a quadrilateral ABCD in which AB=4.4 cm, BC=4cm, CD =6.4 cm, DA =3.8 cm , and BD = 6.6 cm.

Question 64

Getting a prime number on throwing a die is an event. ?

Which of the following is a Pythagorean triplet?
(a) $(2,3,5)$
(b) $(5,7,9)$
​​​​​​​(c) $(6,9,11)$
​​​​​​​(d) $(8,15,17)$

Question 154

Shrinking Machine In a shrinking machine, a piece of stick is compressed to reduce its length. If 9 cm long sandwich is put into the shrinking machine below, how long will it be when it emerges?

What is the area of a square with side 'a'?

In how much time would Rs. 5000 amount to Rs. 6655 at $10\%$ per annum compound interest?

Find the difference between ${10}^3$ and ${10}^{-3}$.

An old box is shown in figure. The box is a combination of:

Consider the following calendar.

In which of the following the difference between the product of diagonal number will be equal to 7