ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) Two rational numbers are called equivalent if they have …… value.
(ii) The number \(\frac { -4 }{ 7 }\) lies to the …….. of zero on the number line.
(iii) The rational number \(\frac { -5 }{ -11 }\) lies to the ……. of zero on the number line.
(iv) The rational number \(\frac { -84 }{ 156 }\) reduced to simplest form is ………
(v) The standard form of the rational number \(\frac { 14 }{ -12 }\) is ………
(vi) There are ….. rational numbers between two different rational numbers.
(vii) Two rational numbers \(\frac { p }{ q }\)and \(\frac { r }{ s }\) are equal if an only if q × r = ……..
(viii)The multiplicative inverse of -3\(\frac { 1 }{ 5 }\) is ……..
(ix) \(\frac { -3 }{ 7 }\) ÷ \(\frac { -7 }{ 3 }\) = ………
(x) If p and q are positive integers, then \(\frac { p }{ q }\) is a …… rational number and \(\frac { p }{ -q }\) is a ……
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 1

Question 2.
State whether the following statements are true (T) or false (F).
(i) Zero is the smallest rational number.
(ii) Every integer is a rational number.
(iii) Every rational number is an integer.
(iv) Every fraction is a rational number.
(v) Every rational number is a fraction.
(vi) The reciprocal of -1 is -1.
(vii) The quotient of two integers is always a rational number.
(viii) The value of a rational number remains the same if both its numerator and denominator are multiplied (or divided) by the same (nonzero) integer.
(ix) Between two distinct integers, we can always insert an integer.
(x) Between two distinct rational numbers, we can al ways insert a rational number.
(xi) There exists atleast one integer between two different rational numbers.
(xii) The reciprocal of 2\(\frac { 6 }{ 7 }\) is \(\frac { -7}{ 20 }\).
(xiii) All terminating decimal numbers are rational numbers.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 2
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 3

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 14):
Question 3.
The rational number \(\frac { 110 }{ -132 }\) when reduced to standard form is
(a) \(\frac { 10 }{ -12 }\)
(b) \(\frac { 5 }{ -6 }\)
(c) \(\frac { -5 }{ 6 }\)
(d) \(\frac { 110 }{ -132 }\)
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 4

Question 4.
The Additive inverse of \(\frac { -7 }{ 12 }\) is
(a) \(\frac { 12 }{ -7 }\)
(b) \(\frac { -7 }{ 12 }\)
(c) \(\frac { -5 }{ 12 }\)
(d) \(\frac { 7 }{ 12 }\)
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 5

Question 5.
The Multiplicative inverse of \(\frac { -4 }{ 9 }\) is
(a) \(\frac { 4 }{ 9 }\)
(b) \(\frac { -9 }{ 4 }\)
(c) \(\frac { 9 }{ 4 }\)
(d) none of these
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 6

Question 6.
The reciprocal of the rational number -2\(\frac { 3 }{ 7 }\) is
(a) \(\frac { -17 }{ 7 }\)
(b) \(\frac { 7 }{ 17 }\)
(c) \(\frac { -7 }{ 17 }\)
(d) none of these
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 7

Question 7.
The product of rational number \(\frac { -2 }{ 5 }\) and its multiplicative inverse is
(a) 1
(b) 0
(c) \(\frac { 4 }{ 25 }\)
(d) \(\frac { 2 }{ 5 }\)
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 8

Question 8.
The product of rational number \(\frac { -2 }{ 3 }\) and its additive inverse is
(a) 1
(b) \(\frac { 2 }{ 3 }\)
(c) \(\frac { 4 }{ 9 }\)
(d) \(\frac { -4 }{ 9 }\)
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 9

Question 9.
The sum of rational number \(\frac { -1 }{ 3 }\) and its reciprocal is
(a) 0
(b) 1
(c) \(\frac { -10 }{ 3 }\)
(d) \(\frac { -3 }{ 10 }\)
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 10

Question 10.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 11
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 12

Question 11.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 13
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 14

Question 12.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 15
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 16

Question 13.
In the standard form of a rational number, the denominator is always
(a) 0
(b) a negative integer
(c) 1
(d) a positive integer
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 16.1

Question 14.
The sum of two rational numbers is -1. If one of them is \(\frac { -5 }{ 7 }\), then the other is
(a) \(\frac { 5 }{ 7 }\)
(b) \(\frac { -2 }{ 7 }\)
(c) \(\frac { 12 }{ 7 }\)
(d) \(\frac { -12 }{ 7 }\)
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 17

Value Based Questions

Question 1.
Rohit donated \(\frac { 1 }{ 5 }\) of his monthly income to an NGO working for the education of old women, \(\frac { 1 }{ 4 }\) of his salary spent on food, \(\frac { 1 }{ 3 }\) on rent and \(\frac { 1 }{ 15 }\) on other expenses. If he is left with ₹ 9000, find his monthly income. What values are being promoted?
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 18
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 19

Higher Order Thinking Skills (HOTS)

Question 1.
From a rope 15 m long, 4\(\frac { 1 }{ 3 }\) m is cut off and \(\frac { 3 }{ 5 }\) of the remaining is cut off again. Find the length of the remaining part of the rope.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 20

Question 2.
Perimeter of a rectangle is 2 m less than \(\frac { 2 }{ 5 }\) of the perimeter of a square, if the perimeter of the square is 40 m, find the length and breadth of the rectangle given that the breadth is \(\frac { 1 }{ 3 }\) of the length.
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Objective Type Questions 21

ML Aggarwal Class 7 Solutions for ICSE Maths