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Published on: 31/10/2025
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Questions + Answers key
Take MCQ Mathematics Test

1.
Find the value of \(\frac { -1 }{ 8 } \div \frac { 3 }{ 4 } \)
2.
Find the value of \(\frac { -4 }{ 5 } \div (-3)\)
3.
Find the value of \(\frac { -3 }{ 5 } \div 2\)
4.
Find the value of \((-4)\div \frac { 2 }{ 3 } \)
5.
Find \(\frac { 3 }{ -5 } \times \frac { -5 }{ 3 } \)
6.
Form a rational number with numeric and denominator given below
3,5
7.
Divide the difference of \(\frac { 2 }{ 5 } \) and \(\frac { 3 }{ 13 } \) by the product \(\frac { 2 }{ 9 } \) and \(\frac { 3 }{ 5 } \)
8.
Simplify and express the result in standard from \(\left( -\frac { 2 }{ 5 } +\frac { 1 }{ 2 } \right) +\left( \frac { 1 }{ 3 } -\frac { 5 }{ 2 } \right) \)
9.
Multiply the sum of \(\frac { 1 }{ 8 } \) and \(\frac { 2 }{ 3 } \) by the additive inverse \(\frac { -5 }{ 7 } \)
10.
Product of two rational numbers is 3.If one of them is \(\frac { 5 }{ 8 } \) then find other
11.
By what number should we multiply -\(\frac { 2 }{ 5 } \) to get \(\frac { 3 }{ 5 } \) ?
12.
Find the value of \(12\frac { 6 }{ 9 }\div \frac { 1 }{ 18 } \times \frac { 1 }{ 2 } \)
13.
Find the product \(\frac { 7 }{ 2 } \times \frac { 9 }{ 4 } \times 1\frac { 1 }{ 4 } \)
14.
Simplify the following
\(2\frac { 4 }{ 6 } +4\frac { 1 }{ 2 } +\frac { 16 }{ 3 } -\frac { 2 }{ 3 } \)
15.
Find the sum of \(2\frac { 9 }{ 4 } \) and \(12\frac { 4 }{ 2 } \)
16.
To reduce a rational number to its standard form, we divide its numerator and denominator by their
LCM
HCF
product
Multiple
17.
In the standard form of a rational number, the denominator is always a
0
Negative integer
Postive integer
1
18.
How many rational numbers are there between two rational numbers?
2
0
unlimited
100
19.
Which of the following is equivalent to \(\frac { 4 }{ 5 } \)
\(\frac { 5 }{ 4 } \)
\(\frac { 16 }{ 25 } \)
\(\frac { 16 }{ 20 } \)
\(\frac { 15 }{ 25 } \)
20.
-3 can be written in the form of \(\frac { p }{ q } \) as
\(\frac { -3 }{ -1 } \)
\(\frac { -3 }{ 0 } \)
\(\frac { 0 }{ -3 } \)
\(\frac { -3 }{ 1 } \)
21.
Which pair shows equivalent rational numbers?
\(\frac { 3 }{ 4 } ,\frac { 6 }{ 8 } \)
\(\frac { 5 }{ 6 } ,\frac { 5 }{ 12 } \)
\(\frac { 3 }{ 2 } ,\frac { 3 }{ 4 } \)
None of these
22.
The standard form of \(-\frac { 32 }{ 40 } \) is
\(-\frac { 32 }{ 40 } \)
\(\frac { -4 }{ 5 } \)
\(\frac { 4 }{ -5 } \)
\(\frac { 32 }{ 40 } \)
23.
In the standard form of a rational number, the common factor of numerator and denominator is always
0
1
-2
2
24.
Which of the following rational numbers is negative?
\(-\left( \frac { -3 }{ 7 } \right) \)
\(\frac { -5 }{ -8 } \)
\(\frac { 9 }{ 8 } \)
\(\frac { 3 }{ -7 } \)
25.
Which of the following rational numbers is postive?
\(\frac { -8 }{ 7 } \)
\(\frac { 19 }{ -13 } \)
\(\frac { -3 }{ -4 } \)
\(\frac { -21 }{ 13 } \)
1.
We have, \(\\ \frac { -1 }{ 8 } \div \frac { 3 }{ 4 } =\frac { -1 }{ 8 } \times \)Reciprocal of \(\frac { 3 }{ 4 } \)
\(\frac { -1 }{ 8 } \times \frac { 4 }{ 3 } =\frac { (-1)\times 4 }{ 8\times 3 } =\frac { -4 }{ 24 } =\frac { -1 }{ 6 } \)
2.
We have,\(\frac { -4 }{ 5 } \div (-3) \) = \(\frac { -4 }{ 5 } \div (-3)=\frac { -4 }{ 5 } \div \frac { (-3) }{ 1 } =\frac { -4 }{ 5 } \times \)Reciprocal of (-3)
\(=\frac { -4 }{ 5 } \times \frac { 1 }{ (-3) } =\frac { (-4)\times 1 }{ 5\times (-3) } =\frac { -4 }{ -15 } \)
3.
we have , \(\frac { -3 }{ 5 } \div 2\) = \(\\ \frac { -3 }{ 5 } \div2 = \frac { -3 }{ 2 } \div \frac { 2 }{ 1 } =\frac { -3 }{ 5 } \times \) Reciprocal of 2
\(\\ =\frac { -3 }{ 5 } \times \frac { 1 }{ 2 } =\frac { (-3)\times 1 }{ 5\times 2 } =\frac { -3 }{ 10 } \)
4.
We have \((-4)\div \frac { 2 }{ 3 } =\frac { (-4) }{ 1 } \div \frac { 2 }{ 3 } =\frac { -4 }{ 1 } \) \(\times \) Reciprocal of \(\frac { 2 }{ 3 } \)
\(=\frac { (-4) }{ 1 } \times \frac { 3 }{ 2 } \frac { (-4)\times 3 }{ 1\times 2 } =\frac { -12 }{ 2 } =-6\)
5.
\(\\ \frac { 3 }{ -5 } \times \frac { -5 }{ 3 } =\frac { 3\times (-5) }{ (-5)\times 3 } =\frac { -15 }{ -15 } =1\)
6.
Given numerator and denominator are 3 and 5.
So, rational number will be \(\frac { 3 }{ 5 } \)
7.
\(\frac { 75 }{ 182 } \)
8.
\(\frac { -3 }{ 65 } \)
9.
\(\frac { 95 }{ 168 } \)
10.
\(\frac { 24 }{ 5 } \)
11.
-\(\frac { 3 }{ 4 } \)
12.
114
13.
\(9\frac { 27 }{ 32 } \)
14.
\(11\frac { 5 }{ 6 } \)
15.
\(18\frac { 1 }{ 4 } \)
16.
(b)
HCF
17.
(c)
Postive integer
18.
(c)
unlimited
19.
(c)
\(\frac { 16 }{ 20 } \)
20.
(d)
\(\frac { -3 }{ 1 } \)
21.
(a)
\(\frac { 3 }{ 4 } ,\frac { 6 }{ 8 } \)
22.
(b)
\(\frac { -4 }{ 5 } \)
23.
(b)
1
24.
(d)
\(\frac { 3 }{ -7 } \)
25.
(c)
\(\frac { -3 }{ -4 } \)
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