Explore topic-wise InterviewSolutions in .

Question 20

Fill in the blanks to make the statement true.

$-5a^{2}b$ and $-5b^{2}a$ are ___ terms.

The sum of two numbers is 40 and their product is 3680. The sum of their reciprocals is ?

The sum of two integers is -11 and their product is-80.What are the two integers?

A footpath of uniform width runs all around the inside of a rectangular field 28 m long and 22 m wide. If the path occupies 600 $m^2$, what is the width of the path?

$\text{The product of two rational numbers is -5.}\text{If one these numbers is}\frac{-7}{15},\text{find the other.}$

Find the mean of first five multiples of 5.

A car covers a distance of 400km at a certain speed. Had the speed been 12 km/hr more, the time taken for the journey would have been 1 hour 40minutes less. Find the original speed.

The difference of two numbers is -15a${}^3$+8a${}^2$-5a+3. If the larger one is 20a${}^3$+10a${}^2$+6a-6, find the smaller number.

Write two integers whose sum is 6 and difference is also 6.

Question 1(c)
Give first the step you will use to separate the variable and then solve the equation:
X - 1 = 5

ABC is an isosceles triangle with $AB=AC$. Prove: [4 MARKS]

(i) $\Delta ADB\cong \Delta ADC$

(ii) $\angle BAD=\angle CAD$

(iii) $BD=CD$

Name the center rotation of square?

Write all the subset of the following

a) {}

b) {3,5}

c) {2,4,6}

Who among the following mathematicians is regarded as the father of Geometry?

$(35-5\frac{1}{2})+\frac{1}{2}$ equals

Arjun has thrice as much money as Prateek, and Shubhendu has half as much as Arjun and Prateek put together. If Arjun has 120 rupees, then how much money do Prateek and Shubhendu have? [3 MARKS]

Arrange the following data as an array ( descending order) :
(i) 2,0,3,4,1,2,3,5
(ii) 9.1,3.7,5.6,8.3,11.5,10.6

A vehicle covers a distance of 43.2 kilometre in 2.4 litres of petrol how much distance will it cover in one litre of petrol?

If A = {1,2,3,4,5}, then the number of proper subsets of A is

Express 75% as a fraction.

Question 5(ii)
Simplify:
(ii) $\frac{25\times 5^2\times t^8}{{10}^3\times t^4}$

Find the sum of $\frac{8}{13}$ and $\frac{3}{11}$ .

Question 94 (a)

Taking $x=\frac{-4}{9},y=\frac{5}{12}$ and $z=\frac{7}{18},$ find
The rational number which when added to x gives y.

Question 123

A student compared $-\frac{1}{4}$ and $-0.3$ he changed $-\frac{1}{4}$ to the decimal $-0.25$ and wrote, "since , $0.3$ is greater than $0.25$, so $-0.3$ is greater than $-0.25$". What was the students error?

Question 89(iii)
The table below compares the population (in Hundreds) of 4 towns over two years:

Study the table and answer the following question:
In which town was the population growth least?

(25% of 50% of 100%) /( 25 x 50) = ___? ______

Asertain the appropriate missing figures by preparing Total Creditors Account from the following information :
Creditors as on March 31, 2018 Rs. 6,000,
Creditors as on March 31, 2017 Rs. 36,000,
Cash paid to creditors Rs. 1,04,400,
Discount allowed by creditors Rs 2,000,
Purchase return Rs. 2,000,
Bills payables accepted Rs. 34,000,
Cheques issued to creditors Rs. 20,000,
Bills receivables endorsed in favour of creditors Rs. 40,000 out of which $25\%$ bills were dishonoured.

Simar returns home and plans to watch a cricket match, but the match is yet to start. She observes two stumps placed at a certain distance and asks her father what is a line connecting two ends called?

A group of 120 men had provisions for 200 days . After 5 days , 30 men died due to an epidemic. How long will the remaining food last?

In the figure below, lines RS and PQ intersect each other at point O. If

$\angle POR:\angle ROQ=11:13$,

find $\angle SOQ$.

By then your art teacher came in with a box. You all wanted to know what was there in the box. But before opening the box, he asked "the name of the shape of the box is __.”

Question 105 (ii)

It takes 17 full specific type fo trees to make one tonne of paper. If there are 221 such trees in a forest, then
to save $\frac{7}{13}$ part of the forest, how much of paper we have to save?

Question 2
Construct $\Delta$ PQR if PQ=5cm, $\angle PQR={105}^{\circ }and\angle QRP={40}^{\circ }$.

Question 87

If the complement of an angle is ${62}^{\circ },$ then find its supplement.

Question 32

Vertically opposite angles are always
(a) supplementary
(b) complementary
(c) adjacent
(d) equal

The roster form of the set $\{x:x=2r+3,\text{where}r\in I\text{and}-2<r\le 1\}$.

The angle of measures ${72}^{\circ }$ and ${144}^{\circ }$ are bisected to get 'a' and 'b' respectively.
What is the value of a+b in degrees?

The letter B has reflectional symmetry. Identify the list of other alphabets with similar reflection

Consider two numbers x and y. The length and breadth of a rectangle are respectively the sum and the difference of these numbers. The perimeter is .

Mr. Sunil bought a laptop for Rs 75,000. He later on sold it for Rs 60,000. Find his loss percent.

Find the solution set for $x+\frac{5}{2}<-\frac{5}{2}+5x$; where $xϵZ$

4 times a number added to 5 gives 7 can be represented by which of the following linear equation?