Explore topic-wise InterviewSolutions in Current Affairs.

Common factors of the first two terms in the expression 5xy + 4ax + 6pa + 8px are:

Match the correct values of 'a' for each triangle.

Calculate the value of the expression using suitable identity $({23}^2-{22}^2{)}^2$

In $\Delta ABCand\Delta PQR$ , AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm, QR = 5 cm, PR = 6 cm, then which of the following is true?

S and T can do a piece of work in 40 days and 24 days respectively. S started the work alone and then after 5 days T joined him till the completion of the work. How long did the work last?

The value of ${75}^2$ is equal to

${(4pq+3q)}^2-{(4pq-3q)}^2=$ ____________.

Prove that an isosceles trapezium is always cyclic.

A pack of 2 kg of sugar contains $8\times {10}^6$ crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?

4s² -4s+1

(a) Find the sum of all the exterior angles of a triangle.
(b) Is it possible to draw a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm respectively? [4 MARKS]

A rectangle is a parellolgram with perpendicular sides. Discuss this statement.

Find the cube of 0.8

Find the area of the circle whose diameter is 10 m. Express your answer in ${cm}^2$ [2 MARKS]

Balance Sheet prepared by the junior accountant showed the following items against the Major Heads and Sub-heads mentioned which were not as per Schedule III of the Companies Act, 2013.

$\begin{array}{cc}\text{Items}& \text{Major Head/Sub-head}\\ \text{Loose Tools}& \text{Trade Receivables}\\ \text{Cheques in Hand}& \text{Current Investments}\\ \text{Term Loan from Bank}& \text{Other Long-term Liabilities}\\ \text{Computer Software}& \text{Tangible Fixed Assets}\end{array}$

You are required to represent the items as per the Companies Act, 2013,

One or more options are correct:

Which of the following is/are infinite set?

Which of the following is the correct expansion of the given identity?
$(x+a)(x+b)$

Prove that the midpoints of the adjacent sides of a quadrilateral will form a parallelogram. [4 MARKS]

A cylinder is open at both ends and is made of 1.5 cm thick metal. Its external diameter is 12 cm and height is 84 cm. What is the volume of metal used in making the cylinder? Also, find the weight of the cylinder if 1 cm 3 of the metal weighs 7.5 g.

A garden is in the form of a rhombus whose side is 30 meters and the corresponding altitude is 16 m.Find the cost of levelling the garden at the rate of Rs.2 per $m^2$

The cost of 15 metres of a cloth is Rs. 981. What length of this cloth can be purchased for Rs. 1308 ?

The sum of all interior angles of a hexagon is

(a) $6$ right angles.

(b) $8$ right angles.

(c) $9$ right angles.

(d) $12$ right angles.

If the length of a square field is 12cm then the perimeter of the field will be:

Find the side of a cube whose surface area is 1176 $c{m}^2$.

If the cost price of 8 apples is ₹34 and the selling price of 12 apples is ₹57. How many apples should a person sell to make a profit of ₹45?

Factorise:

$4a^2-12a+9-49b^2$

($\frac{-16}{8}$) + ($\frac{16}{4}$) is a whole number. Justify

By using the formula, find the amount and compound interest on:

At what rate per cent per annum will Rs 640 amount to Rs 774.40 in 2 years when compounded annually ?

What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube?

Factorise:
$x^2+y-xy-x$

Construct a square, each of whose diagonals measures 5.8 cm.

The interior angle of a regular polygon is 156°. Find the number of sides of the polygon

The graph depicts the percentage of men and women suffering from a migraine in various age groups.

a) In which age group, there is a huge difference between the percentage of men and women?

b) In which age group, the percentage of women is the least?

c) What is the percentage of women in the age group of 18-44?
[3 MARKS]

A rational number between $\frac{-2}{3}\text{and}\frac{1}{4}$

(a) $\frac{5}{12}$

(b) $\frac{-5}{12}$

(c) $\frac{5}{24}$

(d) $\frac{-5}{24}$

The selling price of an article is Rs.180 more when it is sold at a 3.75$\%$ profit instead of a 3.75$\%$ loss. Find the cost price (in Rs.) of the article.

(i) Are rational numbers always closed under division ?

(ii) Are rational numbers always commutative under division ?

(iii) Are rational numbers always associative under division ?

(iv) Can we divide 1 by 0 ?

Find the area,in square metres,of the trapezium whose bases and altitude area as under:

(i) bases=12 dm and 20 dm,altitude=10 dm

(ii) bases=28 cm and 3 dm,altitude=25 cm

(iii) bases=8 m and 60 dm,altitude=40 dm

(iv) bases=150 cm and 30 dm,altitude=9 dm

Find the cost of $3\frac{2}{5}$ metres of cloth at Rs $36\frac{3}{4}$ per metre.

Find the product of $6x,-12x,x^{2}y,3y^2$.

^{​​​​​​x^3+3x^2-6x+2}

How many rational numbers are possible between $\frac{1}{2}$ and 1?

A welfare committee collected $8281 donations from the residents of area if each resident paid as many ruppes as there were students in class viii,how many students were in class viii?

Question 5(iv)
Obtain the product of:
a,2b,3c,6abc