Rational Number...

Which among the following is/are correct for a rational numbers x and y, where x = and y = - ?
1. x < y
2. x > y
3. x = y

Which of the following statements is not true?

Find the average of the first and the last rational numbers after arranging the following in descending order:

, , and

The value of x such that and are equivalent rational numbers is ___________.

The product of two rational numbers is . If one of the numbers is , then find the other number.

For the product of rational numbers and , which of the following statements is true?

If a = Every rational number is an integer and b = Every integer is a rational number, then which of the following is correct?

If , then what is the value of

A rational number is said to be in P if its denominator is a Q. The numerator and the denominator have no common factor other than R.

Which of the following sums is in its simplest form?

Simplify the following expression:

Which of the following options correctly shows the rational number + on the number line?

Which of the following options shows the fractions in correct descending order?

Which of the following options does not contain equivalent rational numbers?

Find the product of and .

A bucket consists of some apples, each of them weighing kg. If the total weight of the bucket (including apples) is kg, then find the maximum number of apples in the bucket.

Sahib works in a factory. He spends of his income on household needs, on buying groceries, on clothes and saves the rest. What fraction of his income does he save?

of the participants attending a technical fest are from Punjab, of the participants are from Delhi, of the participants are from Haryana and rest of them are from Mumbai. If there are total 1000 participants in the fest, then find the number of participants from Mumbai.

Four friends - Sahib, Sahil, Ravi and Gautam - buy m of cloth from a shop. How much cloth will each friend get if they divide it equally?

Sahil leaves his office for home. At a point 5 km away of his home, he realises that he has forgotten his mobile at the office. How far is he from the office at this point if the total distance between his home and office is km?

Match the following:

Column I	Column II
(1) When we multiply the sum of and by the product of and , the result would be	(A)
(2) Eddy ate of the pizza, while David ate of the pizza. If John ate the rest of the pizza, then John's portion of the pizza was	(B)
(3) If 42 shirts of the same size can be stitched from metres of cloth, then the length (in m) of cloth required for each shirt is	(C)
(4) Two packs of candies cost Rs. and Rs. . The total amount Ram has to pay to buy both of them is Rs.	(D)

Which of the following statements is/are true?

(1) To reduce a rational number to its standard form, we divide its numerator and denominator by their HCF, ignoring the negative sign.
(2) When comparing two negative rational numbers, we compare them ignoring their negative signs and then reverse the sign of inequality.
(3) There are unlimited number of rational numbers between any two rational numbers.

Which of the following statements is/are valid in all cases?

I. A rational number will be negative if one out of the numerator and the denominator is negative.
II. When a rational number is multiplied by an integer, the numerator and the denominator both are individually multiplied by the integer.

State 'T' for True and 'F' for false:

(1) 1 is the additive identity of rational numbers.
(2) A rational number is a number which can be written in the form p/q, where p and q are whole numbers.
(3) Rational numbers can be represented on a number line.
(4) Decimals can be expressed as fractions with 10 raised to a certain power as the denominator.

Fill in the blanks:

(1) A fraction multiplied by its __________________ equals 1.
(2) To express a fraction as a percentage, first divide the ______________ by the _____________; then multiply the resulting decimal number by 100.
(3) A _______________ fraction has a numerator that is smaller than its denominator and represents a quantity less than the whole.