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If x be any rational number then x + 0 is equal to (a) x (b) 0 (c) -x (d) Not defined

The correct answer is (a) x Explanation The rational number 0 is the additive identity for rational numbers. If x is a rational... View Article

The multiplicative inverse of [latex]-1tfrac{1}{7}[/latex] is (a) 8/7 (b) -8/7 (c) 7/8 (d) 7/-8

The correct answer is (d) 7/-8 Explanation The multiplicative inverse also known as reciprocal implies is something which is opposite. The... View Article

– (-x) is same as (a) -x (b) x (c) 1/x (d) -1/x

The correct answer is (b) x Explanation In the case of multiplication of integers, two signs are multiplied together. ... View Article

To get the product 1, we should multiply (8/21) by (a) 8/21 (b) -8/21 (c) 21/8 (d) -21/8

The correct answer is (c) 21/8 Explanation = (8/21) × (21/8) = (8 × 21) / (21 × 8) = 168/168 = 1... View Article

If x + 0 = 0 + x = x, which is rational number, then 0 is called (a) identity for addition of rational numbers. (b) additive inverse of x. (c) multiplicative inverse of x. (d) reciprocal of x.

The correct answer is (a) identity for addition of rational numbers. Explanation Additive identity states that when a number is added to... View Article

Multiplicative inverse of a negative rational number is (a) a positive rational number. (b) a negative rational number. (c) 0 (d) 1

The correct answer is (b) a negative rational number. Explanation The multiplicative inverse also known as reciprocal implies is something that... View Article

The additive inverse of -7/19 is (a) -7/19 (b) 7/19 (c) 19/7 (d) -19/7

The correct answer is (b) 7/19 Explanation An additive inverse of a number is the value, which on adding with the original number... View Article

One (1) is (a) the identity for addition of rational numbers. (b) the identity for subtraction of rational numbers. (c) the identity for multiplication of rational numbers. (d) the identity for division of rational numbers.

The correct answer is (c) the identity for multiplication of rational numbers. Explanation The rational number 1 is the multiplicative... View Article

Zero (0) is (a) the identity for addition of rational numbers. (b) the identity for subtraction of rational numbers. (c) the identity for multiplication of rational numbers. (d) the identity for division of rational numbers.

The correct answer is (a) the identity for the addition of rational numbers. Explanation The rational number 0 is the additive identity for... View Article

Which of the following expressions shows that rational numbers are associative under multiplication. (a) [(2/3) × ((-6/7) × (3/5))] = [((2/3) × (-6/7)) × (3/5)] (b) [(2/3) × ((-6/7) × (3/5))] = [(2/3) × ((3/5) × (-6/7))] (c) [(2/3) × ((-6/7) × (3/5))] = [((3/5) × (2/3)) × (-6/7)] (d) [((2/3) × (-6/7)) × (3/5)] = [((-6/7) × (2/3)) × (3/5)]

The correct answer is (a) [(2/3) × ((-6/7) × (3/5))] = [((2/3) × (-6/7)) × (3/5)] Explanation Rational numbers follow... View Article

(-3/8) + (1/7) = (1/7) + (-3/8) is an example to show that (a) addition of rational numbers is commutative. (b) rational numbers are closed under addition. (c) addition of rational number is associative. (d) rational numbers are distributive under addition.

The correct answer is (a) addition of rational numbers is commutative. Explanation For rational numbers, addition and multiplication are... View Article

Which of the following is not true? (a) rational numbers are closed under addition. (b) rational numbers are closed under subtraction. (c) rational numbers are closed under multiplication. (d) rational numbers are closed under division.

The correct answer is (d) rational numbers are closed under division. Explanation According to the properties of rational numbers: Rational... View Article

The numerical expression (3/8) + (-5/7) = (-19/56) shows that (a) rational numbers are closed under addition. (b) rational numbers are not closed under addition. (c) rational numbers are closed under multiplication. (d) addition of rational numbers is not commutative.

The correct answer is (a) rational numbers are closed under addition. Explanation (3/8) + (-5/7) On taking the LCM of the denominators of... View Article

A number of the form p/q is said to be a rational number if (a) p and q are integers. (b) p and q are integers and q ≠ 0 (c) p and q are integers and p ≠ 0 (d) p and q are integers and p ≠ 0 also q ≠ 0

The correct answer is (b) p and q are integers and q ≠ 0 Explanation A rational number is a number that is in the form of p/q, where p... View Article

A number which can be expressed as p/q where p and q are integers and q≠0 is (a) natural number. (b) whole number. (c) integer. (d) rational number

The correct answer is (d) rational number Explanation A rational number is a number that is in the form of p/q, where p and q are... View Article

The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table. Draw a histogram to represent the data above.

Length (in mm) Number of leaves 118-126 8 127-135 10 136-144 12 145-153 17 154-162 7... View Article

Draw a histogram to represent the following grouped frequency distribution.

Age (in years) Number of teachers 20-24 10 25-29 28 30-34 32 35-39 48 40-44 50 45-49... View Article

Draw a histogram of the following distribution.

Height (in cm) Number of students 150-153 7 153-156 8 156-159 14 159-162 10 162-165 6 165-168 5 Solution The bar graph of... View Article

The following are the marks (out of 100) of 60 students in mathematics. 16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35, 72, 55, 75, 31, 52, 28,72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55, 26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63,25, 36, 54, 44, 47, 27, 72, 17, 4, 30. Construct a grouped frequency distribution table with width 10 of each class starting from 0 – 9.

Solution Arranging the given data in ascending order 4, 5, 7, 7,13,15,16,16,17,17,19, 24, 25, 26, 27, 28, 30, 31,31,34, 34, 35, 35, 36, 36, 36,... View Article

Obtain the mean of the following distribution.

Frequency Variable 4 4 8 6 14 8 11 10 3 12 Solution xi fi xifi 4 4 16 6 8 48... View Article