MCQ on Rational Numbers for Class 7
Class 7 Maths Chapter 8 Rational Numbers MCQ
MCQ of The Rational Numbers Class 7
I Multiple choice questions:
Question 1.
\(\frac { 2022 }{ 2021 }\) + 0 = _____ ( )
A) 2
B) 2011
C) 0
D) not defined
Answer:
D) not defined
Question 2.
\(\frac { -1 }{ 2 }\) ( )
A) \(\frac { 3 }{ 2 }\)
B) -2
C) \(\frac { 1 }{ 2 }\)
D) 2
Answer:
C) \(\frac { 1 }{ 2 }\)
Question 3.
1\(\frac { 1 }{ 2 }\) ( )
A) \(\frac { -3 }{ 2 }\)
B) \(\frac { 2 }{ 3 }\)
C) \(\frac { 3 }{ 2 }\)
D) \(\frac { -4 }{ 3 }\)
Answer:
A) \(\frac { -3 }{ 2 }\)
Question 4.
\(-\left(\frac{-3}{4}\right)\) = _____ ( )
A) \(\frac { 3 }{ 4 }\)
B) \(\frac { -3 }{ 4 }\)
C) \(\frac { 4 }{ 3 }\)
D) \(\frac { -4 }{ 3 }\)
Answer:
B) \(\frac { -3 }{ 4 }\)
Question 5.
\(\frac { p }{ q }\) ( )
A) \(\frac { -q }{ p }\)
B) \(\frac { p }{ q }\)
C) \(\frac { -p }{ q }\)
D) \(\frac { 1 }{ p }\)
Answer:
C) \(\frac { -p }{ q }\)
Question 6.
\(\frac { -7 }{ 9 }\) ( )
A) \(\frac { 7 }{ 9 }\)
B) \(\frac { 9 }{ 7 }\)
C) \(\frac { 1 }{ 2 }\)
D) \(\frac { 8 }{ 7 }\)
Answer:
A) \(\frac { 7 }{ 9 }\)
Find the multiplicative inverse of the following rational number
Question 7.
1\(\frac { 1 }{ 4 }\) ( )
A) \(\frac { 1 }{ 7 }\)
B) \(\frac { 1 }{ 2 }\)
C) \(\frac { 5 }{ 4 }\)
D) \(\frac { 4 }{ 5 }\)
Answer:
D) \(\frac { 4 }{ 5 }\)
Question 8.
\(\frac { 7 }{ 3 }\) ( )
A) \(\frac { 1 }{ 4 }\)
B) \(\frac { 1 }{ 7 }\)
C) \(\frac { 3 }{ 7 }\)
D) \(\frac { 9 }{ 2 }\)
Answer:
C) \(\frac { 3 }{ 7 }\)
Question 9.
-7\(\frac { 1 }{ 3 }\) ( )
A) \(\frac { 2 }{ 3 }\)
B) \(\frac { 3 }{ 22 }\)
C) \(\frac { -3 }{ 22 }\)
D) \(\frac { -7 }{ 4 }\)
Answer:
C) \(\frac { -3 }{ 22 }\)
Question 10.
\(\left(\frac{1}{2}+\frac{1}{3}\right)\) ( )
A) \(\frac { 7 }{ 5 }\)
B) \(\frac { 6 }{ 13 }\)
C) \(\frac { 5 }{ 6 }\)
D) \(\frac { 6 }{ 5 }\)
Answer:
D) \(\frac { 6 }{ 5 }\)
Question 11.
\(\left(\frac{3}{4}-\frac{3}{4}\right)\) + \(\left(\frac{1}{2}-\frac{1}{2}\right)\) = _____ ( )
A) 0
B) 1
C) \(\frac { 1 }{ 3 }\)
D) \(\frac { 1 }{ 7 }\)
Answer:
A) 0
Question 12.
0 ÷ \(\left(3 \frac{1}{2}-\frac{1}{2}+7\right)\) = _____ ( )
A) 0
B) \(\frac { 7 }{ 4 }\)
C) \(\frac { -1 }{ 2 }\)
D) 1
Answer:
A) 0
Question 13.
10 – \(\left(\frac{1}{2}-\frac{1}{2}, \ldots \ldots .10 \text { times }\right)\) = _____
A) 1
B) 2
C) 3
D) None
Answer:
D) None
Question 14.
\(\frac { 7 }{ 12 }\) – \(\frac { 7 }{ 12 }\) = _____ ( )
A) \(\frac { 1 }{ 4 }\)
B) \(\frac { -3 }{ 2 }\)
C) \(\frac { 7 }{ 14 }\)
D) 0
Answer:
D) 0
Question 15.
6\(\frac { 1 }{ 3 }\) – 2\(\frac { 1 }{ 2 }\) = _____ ( )
A) \(\frac { 9 }{ 4 }\)
B) \(\frac { 2 }{ 7 }\)
C) \(\frac { 23 }{ 6 }\)
D) \(\frac { 1 }{ 2 }\)
Answer:
C) \(\frac { 23 }{ 6 }\)
Question 16.
\(\left(\frac{1}{2}+\frac{1}{2}\right)\) ÷ 7 ( )
A) \(\frac { 1 }{ 4 }\)
B) \(\frac { 2 }{ 3 }\)
C) \(\frac { 1 }{ 7 }\)
D) \(\frac { 7 }{ 2 }\)
Answer:
C) \(\frac { 1 }{ 7 }\)
Question 17.
Divide 28 by \(\frac { 7 }{ 4 }\), then _____
A) 13
B) 12
C) 10
D) 16
Answer:
D) 16
Question 18.
\(\frac { 16 }{ 5 }\) + \(\frac { 8 }{ 20 }\) = _____ ( )
A) 8
B) 16
C) 11
D) 9
Answer:
A) 8
Question 19.
The cost of one book is ₹ 12\(\frac { 1 }{ 2 }\), then what is the cost of 10 such books?
A) ₹ 125
B) ₹ 115
C) ₹ 175
D) ₹ 350
Answer:
A) ₹ 125
Question 20.
Divide 10 by \(\frac { 100 }{ 7 }\)
A) \(\frac { 11 }{ 3 }\)
B) \(\frac { 9 }{ 7 }\)
C) \(\frac { 10 }{ 7 }\)
D) \(\frac { 7 }{ 10 }\)
Answer:
D) \(\frac { 7 }{ 10 }\)
Question 21.
\(\frac { 3 }{ 10 }\) + 0 = _____
A) \(\frac { 1 }{ 7 }\)
B) \(\frac { 1 }{ 3 }\)
C) \(\frac { 10 }{ 3 }\)
D) \(\frac { 3 }{ 10 }\)
Answer:
D) \(\frac { 3 }{ 10 }\)
Question 22.
\(\frac { 32 }{ 5 }\) ÷ \(\frac { 5 }{ 32 }\) = _____ ( )
A) 1
B) 2
C) 3
D) none
Answer:
D) none
Question 23.
0 ÷ \(\left(\frac{-21}{2125}\right)\) = _____
A) 0
B) -1
C) \(\frac { -21 }{ 125 }\)
D) \(\frac { 3 }{ 4 }\)
Answer:
A) 0
Question 24.
x = \(\frac { -6 }{ 29 }\), then -(-x) = _____
A) \(\frac { 6 }{ 29 }\)
B) \(\frac { -6 }{ 29 }\)
C) \(\frac { 9 }{ 2 }\)
D) \(\frac { 26 }{ 17 }\)
Answer:
B) \(\frac { -6 }{ 29 }\)
Question 25.
The negative of \(\frac { 7 }{ 12 }\) is _____ ( )
A) \(\frac { -12 }{ 7}\)
B) \(\frac { 2 }{ 7 }\)
C) \(\frac { -7 }{ 12 }\)
D) \(\frac { 1 }{ 9 }\)
Answer:
C) \(\frac { -7 }{ 12 }\)
Question 26.
_____ has no reciprocal. ( )
A) 3
B) -2
C) 7
D) 0
Answer:
D) 0
Question 27.
Multiplicative inverse of 7\(\frac { 1 }{2 }\) is _____ ( )
A) \(\frac { 1 }{ 15 }\)
B) \(\frac { 2 }{ 13 }\)
C) \(\frac { 2 }{ 15 }\)
D) \(\frac { 2 }{ 5 }\)
Answer:
C) \(\frac { 2 }{ 15 }\)
Question 28.
The equivalent fraction of \(\frac { 8 }{ 21 }\) whose numerator is 48 is ___ ( )
A) \(\frac { 48 }{ 126 }\)
B) \(\frac { 40 }{ 126 }\)
C) \(\frac { 47 }{ 121 }\)
D) \(\frac { 13 }{ 191 }\)
Answer:
A) \(\frac { 48 }{ 126 }\)
Question 29.
If p is any rational number, then p + 0 is ___ ( )
A) p
B) -p
C) \(\frac { p }{ 2 }\)
D) none
Answer:
A) p
Question 30.
To get the product 1, we should multiply \(\frac { -7 }{ 8 }\) with ___ ( )
A) \(\frac { -12 }{ 13 }\)
B) \(\frac { -7 }{ 9 }\)
C) \(\frac { -8 }{ 9 }\)
D) \(\frac { -8 }{ 7 }\)
Answer:
D) \(\frac { -8 }{ 7 }\)
Question 31.
\(\left(-1 \frac{1}{2}\right)\) ÷ \(\left(\frac{-3}{2}\right)\) = _____ ( )
A) 1
B) -1
C) -3
D) 4
Answer:
A) 1
Question 32.
If x is a reciprocal of y, then the reciprocal of y is ___ ( )
A) x2
B) x
C) y
D) \(\frac { 1 }{ y }\)
Answer:
B) x
Question 33.
Reciprocal of negative of – 1 is ______ ( )
A) 1
B) 2
C) 3
D) 7
Answer:
A) 1
Question 34.
\(\frac { 34 }{ 5 }\) + \(\frac { 43 }{ 11 }\) = ___ ( )
A) \(\frac { 859 }{ 55 }\)
B) \(\frac { 585 }{ 85 }\)
C) \(\frac { 189 }{ 74 }\)
D) \(\frac { 589 }{ 55 }\)
Answer:
D) \(\frac { 589 }{ 55 }\)
Question 35.
The stun of additive inverse of \(\frac { -7 }{ 8 }\) and \(\frac { -7 }{ 8 }\) is ___ ( )
A) 4
B) -3
C) -1
D) 0
Answer:
D) 0
Question 36.
Answer:
A) -25
B) 25
C) 16
D) 10
Answer:
A) -25
Question 37.
\(\frac { -24 }{ -36 }\) = ___ ( )
A) \(\frac { 1 }{ 7}\)
B) \(\frac { 1 }{ 2 }\)
C) \(\frac { 3 }{ 2 }\)
D) \(\frac { 2 }{ 3 }\)
Answer:
D) \(\frac { 2 }{ 3 }\)
Question 38.
\(\frac { 4 }{ -16 }\) = _____ ( )
A) \(\frac { 1 }{ -4 }\)
B) \(\frac { 13 }{ 12 }\)
C) \(\frac { 12 }{ 13 }\)
D) \(\frac { -12 }{ 13 }\)
Answer:
A) \(\frac { 1 }{ -4 }\)
Question 39.
\(\frac { -247 }{ -228 }\) = _____ ( )
A) \(\frac { -13 }{ 12 }\)
B) \(\frac { 13 }{ 12 }\)
C) \(\frac { 12 }{ 13 }\)
D) \(\frac { -12 }{ 13 }\)
Answer:
B) \(\frac { 13 }{ 12 }\)
Question 40.
If a, b, c and d are any three rational number, then \(\frac { a }{ b }\) × \(\frac { c }{ d }\) is ___ ( )
A) a rational number
B) 0
C) – negative number
D) can’t say
Answer:
D) can’t say
Question 41.
\(\frac { 8 }{ -15 }\) + \(\frac { 9 }{ 75 }\) = _____ ( )
A) \(\frac { -31 }{ 75 }\)
B) \(\frac { 31 }{ 75 }\)
C) \(\frac { -1 }{ 75 }\)
D) \(\frac { 32 }{ 161 }\)
Answer:
A) \(\frac { -31 }{ 75 }\)
Question 42.
Add \(\frac { 6 }{ 17 }\) and \(\frac { 7 }{ 4 }\) ( )
A) \(\frac { 111 }{ 142 }\)
B) \(\frac { 68 }{ 143 }\)
C) \(\frac { 43 }{ 631 }\)
D) \(\frac { 143 }{ 68 }\)
Answer:
D) \(\frac { 143 }{ 68 }\)
Question 43.
\(\frac { 3 }{ 7 }\) × 0 ÷ 0 × \(\frac { -3 }{ 7 }\) = _____ ( )
A) 0
B) \(\frac { -3 }{ 7 }\)
C) \(\frac { -1 }{ 7 }\)
D) not defined
Answer:
D) not defined
Question 44.
1 ÷ \(\frac { 9 }{ 17 }\) = ______ ( )
Answer:
A) \(\frac { 17 }{ 9 }\)
B) \(\frac { 7 }{ 9 }\)
C) \(\frac { 9 }{ 7 }\)
D) \(\frac { 1 }{ 19 }\)
Answer:
A) \(\frac { 17 }{ 9 }\)
Question 45.
\(\frac { -3 }{ 4 }\) ÷ \(\frac { 3 }{ 4 }\) = _____ ( )
A) 0
B) -3
C) 1
D) -1
Answer:
D) -1
Question 46.
\(-\left(\frac{-63}{-210}\right)\) = ( )
A) \(\frac { 11 }{ 4 }\)
B) \(\frac { -7 }{ 3 }\)
C) \(\frac { 10 }{ 7 }\)
D) \(\frac { -7 }{ 10 }\)
Answer:
D) \(\frac { -7 }{ 10 }\)
Question 47.
\(\frac { -1 }{ 2 }\) = \(\frac { x }{ 4 }\) then x = _____ ( )
A) \(\frac { -1 }{ 4 }\)
B) \(\frac { 1 }{ 2 }\)
C) 2
D) -2
Answer:
D) -2
Question 48.
If \(\frac { a }{ b }\) = \(\frac { c }{ d }\), then a × d = _____ ( )
A) \(\frac { a }{ c }\)
B) \(\frac { b }{ c }\)
C) b × c
D) ac
Answer:
C) b × c
Question 49.
What number should be added to \(\frac { 5 }{ 2 }\) to get \(\frac { -13 }{ 2 }\)? ( )
A) -4
B) -3
C) -9
D) 10
Answer:
C) -9
Question 50.
\(\frac { -13 }{ 9 }\) × \(\frac { 27 }{ 26 }\) = _____ ( )
A) \(\frac { -2 }{ 3 }\)
B) \(\frac { 2 }{ 3 }\)
C) \(\frac { -3 }{ 2 }\)
D) \(\frac { 3 }{ 2 }\)
Answer:
C) \(\frac { -3 }{ 2 }\)
II. Fill in the blanks:
Question 51.
\(\frac { p }{ q }\) ÷ \(\frac { p }{ q }\) = ______
Answer:
1
Question 52.
\(\frac { p }{ q }\) + \(\frac { s }{ q }\) = _____
Answer:
\(\frac { p+s }{ q }\)
Question 53.
There _____ rational number between any two rational number.
Answer:
Infinite
Question 54.
1 ÷ \(\left(\frac{-5}{-71}\right)\) = _____
Answer:
\(\frac { 71 }{ 5 }\)
Question 55.
1 ÷ \(\frac { 1 }{ 4 }\) = _____
Answer:
4
Question 56.
\(\frac { -5 }{ 12 }\) + ? = – 2, then ? = _____
Answer:
\(\frac { -19 }{ 12 }\)
Question 57.
The sum of any two rational number is always _____ number.
Answer:
Rational
Question 58.
The reciprocal of a rational number is _____ of that rational number.
Answer:
Multiplicative inverse
Question 59.
Subtract \(\frac { 2 }{ 3 }\) from 8 gives _____
Answer:
\(\frac { 22 }{ 3 }\)
Question 60.
The next rational number in the following is ________
\(\frac { 1 }{ 4 }\), \(\frac { 1 }{ 8 }\), \(\frac { 1 }{ 12 }\), …….
Answer:
\(\frac { 1 }{ 16 }\)
Question 61.
\(\left(\frac{\mathrm{p}}{\mathrm{q}}\right)^{-1}\) = _____
Answer:
\(\frac { q }{ p }\)
Question 62.
\(\left(\left(\frac{\mathrm{p}}{\mathrm{q}}\right)^{-1}\right)^{-1}\) = _____
Answer:
\(\frac { p }{ q }\)
Question 63.
Division of any rational number by itself gives quotient as _______
Answer:
1
Question 64.
Division of any rational number by zero is _______
Answer:
not defined
Question 65.
________ is to be multiplied with \(\frac { 7 }{ 2 }\) to get \(\frac { -1 }{ 4 }\)
Answer:
\(\frac { -1 }{ 14 }\)
Question 66.
Divide the sum of and by their difference, we get ______
Answer:
-2
Question 67.
\(\frac { 8 }{ 3 }\) – 2\(\frac { 2 }{ 3 }\) + \(\frac { 1 }{ 2 }\) = _____
Answer:
\(\frac { 1 }{ 2 }\)
Question 68.
A rational number between 1 and 2 is _____
Answer:
\(\frac { 3 }{ 2 }\)
Question 69.
If x = \(\frac { 2 }{ 3 }\), y = \(\frac { -7 }{ 2 }\), then x – y = _____
Answer:
\(\frac { 25 }{ 6 }\)
Question 70.
The cost of 7\(\frac { 1 }{ 2 }\)m ribbon is ₹\(\frac { 15 }{ 2 }\), then the cost of 2 m is _______
Answer:
₹2
Question 71.
3\(\frac { 1 }{ 7 }\) × 7\(\frac { 1 }{ 2 }\) × 9\(\frac { 1 }{ 3 }\) × 0 = _____
Answer:
0
Question 72.
1 – \(\frac { 1 }{2 }\) – \(\frac { 1 }{ 2 }\) – \(\frac { 1 }{ 2 }\) = _____
Answer:
\(\frac { -1 }{2 }\)
Question 73.
10 – \(\frac { 1 }{ 2 }\) – \(\frac { 1 }{ 2 }\) ….. ( 10 times) = _____
Answer:
5
Question 74.
(-2) ÷ \(\left(\frac{-1}{4}\right)\) = _____
Answer:
8
Question 75.
8\(\frac { 1 }{ 3 }\) – \(\frac { 1 }{ 3 }\) – \(\frac { 1 }{ 3 }\) – \(\frac { 1 }{ 3 }\) = _____
Answer:
7\(\frac { 1 }{ 3 }\)
Question 76.
The product of \(\frac { 7 }{ 22 }\) and its reciprocal is ______
Answer:
1
Question 77.
125 × \(\frac { 1 }{ 5 }\) × \(\frac { 1 }{ 5 }\) × \(\frac { 1 }{ 5 }\) = _____
Answer:
1
Question 78.
The reciprocal of the product \(\frac { 19 }{ 2 }\) × \(\frac { -4 }{ 38 }\) is _____
Answer:
-1
Question 79.
8\(\frac { 1 }{ 7 }\) ÷ 0 = ______
Answer:
not defined
Question 80.
Reciprocal of \(\frac { 3 }{ 5 }\) × \(\frac { 15 }{ 7 }\) is ______
Answer:
\(\frac { 7 }{ 9 }\)
Question 81.
Which is greater \(\frac { 1 }{ 2 }\) or \(\frac { 3 }{ 4 }\) ?
Answer:
\(\frac { 3 }{ 4 }\)
Question 82.
1 + \(\frac { 1 }{ 2 }\) × \(\frac { 14 }{ 8 }\) = _____
Answer:
3
Question 83.
\(\frac { 90 }{ 100 }\) × \(\frac { 9 }{ 10 }\) = _____
Answer:
\(\frac { 9 }{ 5 }\)
Question 84.
\(\frac { 2 }{ 3 }\) _____ 1(use > or <)
Answer:
<
Question 85.
x = \(\frac { -5 }{ 8 }\), then -(-(-x) = _____
Answer:
\(\frac { 5 }{ 8 }\)
Question 86.
______ is neither positive nor negative.
Answer:
0
Question 87.
0.9999 ….. = ______
Answer:
1
Question 88.
The negative of a positive rational number is always a _______ rational number.
Answer:
negative
Question 89.
x ÷ \(\frac { 1 }{ x }\) =
Answer:
x2
Question 90.
On a number line, the negative rational number lie to _______ of zero.
Answer:
left
III. Match the following:
Question 91.
| i) \(\frac { 2 }{ 3 }\) × \(\frac { 3 }{ 2 }\) | a) -6 |
| ii) 0 ÷ \(\frac { 7 }{ 2 }\) | b) 1 |
| iii) \(\frac { 1 }{ 3 }\) + \(\frac { 1 }{ 3 }\) + \(\frac { 1 }{ 3 }\) – 7 | c) \(\frac { 2 }{ 19 }\) |
| iv) \(\frac { 2 }{ 6 }\) × \(\frac { 6 }{ 19 }\) | d) 0 |
A) i – b, ii – c, iii – a, iv – d
B) i – b, ii – d, iii – a, iv – c
C) i – a, ii – d, iii – c, iv – b
D) i – c, ii – b, iii – a, iv – d
Answer:
B) i – b, ii – d, iii – a, iv – c
Question 92.
| i) \(\frac{2}{3}\) | a) \(\frac { 7 }{ 8 }\) |
| ii) \(1 \frac{1}{7}\) | b) \(\frac { 4 }{ 13 }\) |
| iii) \(3 \frac{1}{4}\) | c) \(\frac { 2 }{ 17 }\) |
| iv) \(\frac{17}{2}\) | d) \(\frac { 3 }{ 2 }\) |
A) i – b, ii – c, iii – d, iv – a
B) i – a, ii – c, iii – d, iv – b
C) i – b, ii – a, iii – d, iv – c
D) i – d, ii – a, iii – b, iv – c
Answer:
D) i – d, ii – a, iii – b, iv – c
Question 93.
| i) 7\(\frac { 1 }{ 2 }\) ÷ 0 | a) -3 |
| ii) 9\(\frac { 1 }{ 2 }\) + 9\(\frac { 1 }{ 2 }\) | b) -40 |
| iii) 1\(\frac { 1 }{ 2 }\) – \(\frac { 1 }{ 2 }\) | c) not defined |
| iv) \(\left(8 \frac{1}{2}+8 \frac{1}{2}\right)\) – 41 | d) -1 |
A) i – a, ii – d, iii – b, iv – c
B) i – c, ii – d, iii – a, iv – b
C) i – d, ii – c, iii – b, iv – a
D) i – b, ii – c, iii – a, iv – d
Answer:
B) i – c, ii – d, iii – a, iv – b
Question 94.
| i) \(\frac { -7 }{ 2 }\) × \(\frac { 14 }{ 21 }\) | a) 0 |
| ii) \(\frac { 3 }{ 18 }\) × \(\frac { 36 }{ 9 }\) | b) 2 |
| iii) \(\frac { -2 }{ 3 }\) × \(\frac { 6 }{ 19 }\) × (1 – 1) | c) \(\frac { -7 }{ 3 }\) |
| iv) \(\left(\frac{1}{2}+\frac{1}{2}\right)\) + \(\frac { 1 }{ 2 }\) | iv) \(\frac { 2 }{ 3 }\) |
A) i – c, ii – d, iii – a, iv – b
B) i – c, ii – d, iii – a, iv – b
C) i – a, ii – d, iii – b, iv – c
D) i – d, ii – b, iii – a, iv – c
Answer:
A) i – c, ii – d, iii – a, iv – b
Question 95.
| i) ____ has no reciprocal | a) \(\frac { 2 }{ 7 }\) |
| ii) _____ is the multiplicative inverse of \(\frac { 7 }{ 2 }\) | b) not defined |
| iii) Division by zero | c) \(\frac { 4 }{ -3 }\) |
| iv) Reciprocal of \(\frac { -3 }{ 4 }\) | d) 0 |
A) i – b, ii – c, iii – a, iv – d
B) i – d, ii – a, iii – c, iv – b
C) i – d, ii – a, iii – b, iv – c
D) i – b, ii – c, iii – d, iv – a
Answer:
C) i – d, ii – a, iii – b, iv – c
Question 96.
| i) \(\frac { 1 }{ 2 }\) | a) \(\frac { 2 }{ 3 }\) |
| ii) \(\frac { -2 }{ 3 }\) | b) \(\frac { -a }{ b }\) |
| iii) 1\(\frac { 1 }{ 2 }\) | c) \(\frac { -1 }{ 2 }\) |
| iv) \(\frac { a }{ b }\) | d) \(\frac { -3 }{ 2 }\) |
A) i – d, ii – b, iii – c, iv – a
B) i – a, ii – c, iii – b, iv – d
C) i – d, ii – b, iii – a, iv – c
D) i – c, ii – a, iii – d, iv – b
Answer:
D) i – c, ii – a, iii – d, iv – b
Question 97.
| i) \(\frac { 7 }{ 2 }\) | a) \(\frac { a }{ b }\) |
| ii) \(\frac { -3 }{ 2 }\) | b) \(\frac { 2 }{ 7 }\) |
| iii) \(\frac { b }{ a }\), a ≠ 0 | c) x |
| iv) \(\frac { 1 }{ x }\), x ≠ 0 | d) \(\frac { -2 }{ 3 }\) |
A) i – b, ii – d, iii – a, iv – c
B) i – a, ii – c, iii – b, iv – d
C) i – d, ii – b, iii – c, iv – a
D) i – c, ii – b, iii – a, iv – d
Answer:
A) i – b, ii – d, iii – a, iv – c
Case study based Questions:
Question 98.
Riyaz wants to construct a wall with 3 different colours for the festival In his house which will help him to reduce sunlight at the time of summer mainly In afternoon. He planned to construct a wall for 12\(\frac { 1 }{ 2 }\) m basically and constructed first 4\(\frac { 3 }{ 4 }\)m and later 5\(\frac { 1 }{ 4 }\)m. Also he painted the first part as blue colour and the second part as yellow colour and the rest as white colour.
Based on above Information answer the following questions.
i) How many colours are used to paint the wall? ( )
A) 2
B) 6
C) 3
D) 4
Answer:
C) 3
ii) What is the total length of wall painted in two colours? ( )
A) 10 m
B) 11 m
C) 11\(\frac { 1 }{ 2 }\)m
D) 12\(\frac { 1 }{ 7 }\)m
Answer:
A) 10 m
iii) What is the length of remaining wall yet to be painted? ( )
A) \(\frac { 5 }{ 2 }\)
B) \(\frac { 6 }{ 2 }\)
C) \(\frac { 9 }{ 2 }\)
D) \(\frac { 4 }{ 2 }\)
Answer:
A) \(\frac { 5 }{ 2 }\)
iv) What is 11 – \(\frac { 1 }{ 2 }\) – \(\frac { 1 }{ 2 }\) – \(\frac { 1 }{ 2 }\) – \(\frac { 1 }{ 2 }\)? ( )
A) 6
B) 7
C) 8
D) 9
Answer:
D) 9
Question 99.
Different number systems are given in the following way by considering the order denoted with smaller circle as the small set and so on.
Based on the above information answer the following questions.
i) Identify Rational number from the following. ( )
A) x
B) 3.1111 ……
C) \(0 . \overline{5}\)
D) \(\frac { 1 }{ 2 }\)
Answer:
D) \(\frac { 1 }{ 2 }\)
ii) N ∪ {o} = _____ ( )
A) W
B) N
C) Z
D) None
Answer:
A) W
iii) \(\frac { 10 }{ 200}\) = ______ ( )
A) \(\frac { 1 }{ 2}\)
B) \(\frac { 1 }{ 20}\)
C) \(\frac { 7 }{ 30}\)
D) \(\frac { 1 }{ 7}\)
Answer:
B) \(\frac { 1 }{ 20}\)
iv) 1 – \(\frac { 1 }{ 4}\) – \(\frac { 1 }{ 4}\) – \(\frac { 1 }{4}\) – \(\frac { 1 }{ 4}\) = _____ ( )
A) -2
B) 1
C) 9
D) 0
Answer:
D) 0