Explore topic-wise InterviewSolutions in Current Affairs.

Which of the following is the irreducible factor form of 28xy?

$x^5+x^4+x^3+x^2+x+1$ by $x^3+1$

The perimeter of a square is 60 cm. Find its side-length.

Expansion of $(6-5xy)(6+5xy)$ is .

The sum of the interior angles of a rectangle is _____.

The factorised form of $21x^2{y}^3+27x^3{y}^3$ is __________.

$(7a^2-63b^2)=?\left(a\right)(7a-9b)(9a+7b)\left(b\right)(7a-9b)(7a+9b)\left(c\right)9(a-3b)(a+3b)\left(d\right)7(a-3b)(a+3b)$

18 men can reap a field in 35 days. For reaping the.same field in 15 days,
how many men are required ?

If y is the reciprocal of rational number x, then the multiplicative inverse of y will be:

Question 12
To get the product 1, we should multiply $\frac{8}{21}$ by

(a) $\frac{8}{21}$

(b) $\frac{-8}{21}$

(c) $\frac{21}{8}$

(d) $\frac{-21}{8}$

Question 13

Rahul, Varun and Yash are playing a game of spinning a coloured wheel. Rahul wins, if spinner lands on red. Varun wins, if spinner lands on blue. Yash wins, if it lands on green. Which of the following spinners should be used to make the game fair?

(a) (i)

(b) (ii)

(c) (iii)

(d) (iv)

A polynomial that contains only one term is called a __.

The value of ${\frac{(-7)}{\left(7^6\right)}}^6$ is:

Identify exterior diagonals in the figure.

Prove that for any quadrilateral in which the diagonals are perpendicular to each other, the area is half the product of the lengths of the diagonals.

Sanju borrowed a sum of money from Simran at 8 % . After 4 years, Sanju had to give Simran Rs 9900 to clear the debt. What was the amount Sanju borrowed originally ?

Draw nets for the following polyhedrons :

Common prime factors of 36, 60 and 72 are

$Ifc>a;\text{show that}cba-abc=99(c-a).$

Find the square root of each of the following numbers by division method.

(i) 2304 (ii) 4489

(iii) 3481 (iv) 529

(v) 3249 (vi) 1369

(vii) 5776 (viii) 7921

(ix) 576 (x) 1024

(xi) 3136 (xii) 900

Just by looking at the numbers, identify which is not a perfect square?

In an examination, a candidate secured $125$ marks and failed by $15$ marks. If the pass percentage was $35\%$; find the maximum marks.

Cartesian plane is represented by _____.

The profit earned on selling an article for Rs. 625 is the same as loss on selling it for Rs. 435. The cost price of the article is

(a) Rs. 520

(b) Rs. 530

(c) Rs. 540

(d) Rs. 550

Write the number of digits in the cube roots of 94818816 .

Question 150

The average life expectancies of males for several states are shown in the table. Express each decimal in the form $\frac{p}{q}$ and arrange the states from the least to the greatest male life expectancy.

State-wise data are included below: more indicators can be found in the "FACTFILE" section on the homepage for each state.

$\begin{array}{cccc}\text{State}& \text{Male}& \frac{p}{q}\text{form}& \text{Lowest terms}\\ \text{Andhra Pradesh}& 61.6& & \\ \text{Assam}& 57.1& & \\ \text{Bihar}& 60.7& & \\ \text{Gujarat}& 61.9& & \\ \text{Haryana}& 64.1& & \\ \text{Himachal Pradesh}& 65.1& & \\ \text{Karnatak}& 62.4& & \\ \text{Kerala}& 70.6& & \\ \text{Madhya Pradesh}& 56.5& & \\ \text{Maharashtra}& 64.5& & \\ \text{Orissa}& 57.6& & \\ \text{Punjab}& 66.9& & \\ \text{Rajasthan}& 59.8& & \\ \text{Tamil Nadu}& 63.7& & \\ \text{Uttar Pradesh}& 58.9& & \\ \text{West Bengal}& 62.8& & \end{array}$

Source Registrar General of India (2003) SRS Based Abridged Lefe Tables. SRS Analytical Studies, Report No. 3 of 2003, New Delhi: Registrar General of India.

The data are for the 1995-99 period; states subsequently divided are therefore included in their pre-partition states (Chhatisgarh in MP, Uttaranchal in UP and Jharkhand in Bihar)

The sale of diesel (in litres) on different days of a week is recorded and represented as follows:





What will be the average sale of diesel in a week?

The digits of tens place of a two digit number is three times that in the units place. If the digits are reversed, the new number will be $36$ less than the original number. find the original number

1. 85

There are two numbers such that their product is 12 and the sum of the numbers is 8.

Find the sum of their squares.

John invested ₹ 25000 , Rafay ₹ 20000 and Usman ₹ 10000 to start a business together.

They got ₹ 2200 profit in a month which they divided in the ratio of their investments. How much did Rafay get ?

Question 42.

Answer True/False.

The equations $x+1=0$ and $2x+2=0$ have the same solution.

What is the correct division statement?

Six years hence, Rahul's age will be three times his son's age and three years ago, he was nine times as old as his son. Rahul's present age is: