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Solve the following problems.

What is the simple interest for Rs. 5,500 at 5% p.a for 5 years if the amount is Rs. 6,875?

Consider the figure of an opened die given below:

What is the value of D?

What is the sign given to the product of two integers having like signs?

Mark the solution of the following linear inequation on a number line.
$-6y+2\le 14,y\text{is a natural number.}$

Question 2 (ii)

Write a Pythagorean triplet whose one member is:

14

-x + (x+1) + (x+2) - (x+3) = ____

A fair die is rolled and a number divisible by 3 shows up. The set of favourable outcomes when this event occurs is

Shikha and Shalini shared 5 chocolates between them. In which of the following cases did they have equal share?

In the figure given below identify interior angles.

If a coin is tossed twice, is the probability of getting two heads equal to the probability of getting no heads at all? What are the two probabilities in the order of

i) Getting two heads

ii) Getting no heads

The branch of mathematics that deals with the study of data collection, presesntation, and analysis is called

Bill was curious to find the room into which the previous number went in (which exited the “Hall of Division” when occupants “7” and “8” went in). He came out of the room he was in and was surprised at what he saw!

He noticed that the previous rooms he saw – Room N, Room W and Room I were all inside a huge house whose nameplate read – “House of Rational Numbers, Q”. This house of rational numbers was part of a huge villa – many times larger. Bill couldn’t see the nameplate of this villa.

He realized that the arrangements of the Rooms N, W and I inside “House of Rational Numbers, Q” were in logical accordance with the nature of numbers in Earth 1. What could Bill’s inferences be? Choose ALL the correct inferences Bill should have made.

A bag contains coins numbered from 1 to 50. If one coin is picked up at random, find the probability that it bears a square number.

Starting from $(-1)\times 5,$ write various products showing some pattern to show $(-1)\times (-1)=1.$

Which of the following statements is/are true?

(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

(iii) The absolute value of an integer is always greater than the integer.

(iv) Every negative integer is less than any natural number.

Match the expressions in the left column with their correct answers given in the right column.

in four rounds of quiz competition a team scored 6,9 and _ 3 marks find the final score of the team

The value of x will be____.

Which rational number represents X on number line?

A pie chart shows that 30 % of people like mango. If a total of 30 people were surveyed about their favourite fruit, find the total people who chose mango as their favourite fruit?

Given is a case where the person just got out of hemispherical dome. How far (in m) from the gate should he come out so that he is just able to see the pole which is exactly at the apex of the dome?

A set of data is said to be organized if it is arranged in-

Which is the vertical line that can be drawn through the point $(5,3)?$

Question 54 (ii)

Write the coefficient of $x^2$ in the following:

$x^3-2x^2+3x+1$

Two supplementary angles are in the ratio 7 : 8. Find the angles.

Consider the given bar graph showing the number of chocolates that Neeraj ate last week and fill in the blanks:

The difference between the maximum and minimum number of chocolates that Neeraj ate is _______.

Which one of the following represents $y=-5.$

In the figure given below identify interior angles.

Which among the following algebraic expressions does not contain a constant term?

Question 53

$\frac{2}{3}of8$ is same as $\frac{2}{3}÷8.$