Explore topic-wise InterviewSolutions in Current Affairs.

Question 40 (e)

Fill in the blanks with <, > or = sign.
$6^3\text{\_\_}{4}^4$

Question 4
Observe the following pattern and find the missing digits.

${11}^2=121{101}^2=10201{1001}^2=1002001{100001}^2=\mathrm{1....2....1}{10000002}^2=\mathrm{1...........}$

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

The count of bacteria in a certain experiment was increasing at the rate of $2\%$ per hour. Find the bacteria at the end of 2 hours if the count was initially 500000.

Multiply the following :

$-7p{q}^2{r}^3,-13p^3{q}^{2}r$

A truck needs 54 litres of diesel for covering a distance of 297 km. The diesel required by the truck to cover a distance of 550 km is

(a) 100 litres
(b) 50 litres
(c) 25.16 litres
(d) 25 litres

Question 25

A graph showing two sets of data simultaneously is known as:

(a) Pictograph

(b) Histogram

(c) Pie chart

(d) Double bar graph

Question 129

A king wanted to reward his advisor, a wiseman of the kingdom. So, he asked the wiseman to name his own reward. The wise man thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?

Question 74

State whether the following statement is true or false:

A number having 7 at its one's place will have 3 at the unit's place of its square.

When the following data is arranged as an array(in ascending order), we get:

14, 18, 4, 18, 5, 6, 18, 6, 18

1 litre of water is kept in the ice tray in which the dimension of each small cubical container is $2cm\times 2cm\times 2cm$. Find the number of ice cubes that we will get after the 1 litre of water is made ice. Given 1 litre $=1000c{m}^3$. [3 MARKS]

Find the smallest number by which the following number must be divided to obtain a perfect cube:
$81$

The expression $\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}$ when simplified reduces to a-b$\sqrt{15}$.

Then a + b is __________.

If a man can afford to paint at rs .10 per $m^2$ .How much money is required by him to paint a rectangle of length 400 cm and breadth 900 cm ? [4 MARKS]

What is the value of $n$ if ${343}^{\frac{n}{3}}\times 7^{5+3n}\times 7^{-2n}\times {49}^{n-1}=343$ ?

The sum of a, b, c and d in the following figure is

Find the range of the solution of given inequality.

$\frac{3(1-x)}{2}>\frac{1}{4}-x$

In a school, $38\%$ of the students are girls. If the number of boys is $1023.$ Find the total strength of the school.

The following ingredients are required to make halwa for 5 persons:

Suji/Rawa = 250 g, Sugar = 300 g

Ghee = 200 g, Water = 500 mL.

Using the concept of proportion, estimate the changes in the quantity of ingredients, to prepare halwa for 60 members. [4 MARKS]

State whether each of the following sets is a finite set or an infinite set:

(i) The set of multiples of 8.

(ii) The set of integers less than 10.

(iii) The set of whole numbers less than 12.

(iv)$\{x:x=3n-2,n\in W,n\le 8\}$ (v) $\{x:x=3n-2,n\in Z,n\le 8\}$ (vi)$\{x:x=\frac{n-2}{n+1},n\in W\}$

[5$\frac{1}{4}$ - {$\frac{2}{5}$ × 5$\frac{5}{9}$ + ($\frac{1}{2}$ + $\frac{3}{4}$)}] is equal to:

A sphere and a hemisphere have same total surface area. Find the ratio of their radii i.e.$\frac{r_1}{r_2}$, where $r_1$ and $r_2$ are the radii of sphere and hemisphere respectively.

Which of the following concepts plays an important role in angle bisector construction?

In the given figure, which of the following option gives the curved surface area of the cylinder?

Write the degree, coefficients and terms of the polynomial $10x^2-5x-6$. [2 MARKS]

The sum of the digits of a two-digit number is 9. If the digit in tens place is twice the digit in the units place, then the number is:

$(x+4{)}^2-5xy-20y-6y^2=$

The radius of a circle is 10 meters. Find the area of the circle in $m^2$ , Take $\pi$ = 3.14 [2 MARKS]

48 ice-creams are placed on a table. Some are chocolate flavoured and others are vanilla flavoured. If a person takes an ice-cream at random from the table, the probability that it is chocolate flavoured is $\frac{2}{3}$. Find the number of vanilla flavoured ice-creams on the table.

The following pie chart gives the distribution of constituents in the human body. The sum of the central angle of the part showing the distribution of protein and dry elements is

A piece of equipment cost a certain factory $Rs.6,00,000$. If it depreciates in value, $15\%$ the first, $13.5\%$ the next year, $12\%$ the third year, and so on. What will be its value at the end of 10 years, all percentages applying to the original cost?

What is the cube root of ( 27 x 64) ?

If Harish earns simple interest of ₹1000 by lending money to his friend at an interest of 10% per annum for 5 years, then find the money lent by him.

Find the cubes of:

(i) 2.1 (ii) 0.4 (iii) 1.6

(iv) 2.5 (v) 0.12 (vi) 0.02

(vii) 0.8

Find the number of non square numbers between the squares of 11 and 12.

Set of operations is being done on a number A

I)A is multiplied by 5 to get B

ii) 5 is added to be to get C

iii) tennis subtracted from C to get D

iv) 1 is subtracted from D to get 9

Find the value of A

List five rational number between 0 and 1

64000 is not a perfect square? Explain it

The second class railway fare for $240km$ of journey is $Rs.\mathrm{15.00.}$ What would be the fare for a journey of $139.2km$?

The smallest natural number which when added to the difference of squares of 17 and 13 gives a perfect square is

In the given figure, if AB//DC and AD // BC, then which of the following is true ?

Factorise :7 – 12𝑥 − 4𝑥^2 by splitting the middle term