All Exams  >   Class 7  >   Online MCQ Tests for Class 7  >   All Questions

All questions of Rational Numbers for Class 7 Exam

Reciprocal of 1/x, where x ≠ 0 is ________.
  • a)
    x
  • b)
    -x
  • c)
    0
  • d)
    1
Correct answer is option 'A'. Can you explain this answer?

Lavanya Menon answered
Reciprocal is the inverse of the number, meaning, the numerator becomes denominator and denominator becomes numerator.so 1/x become x/1

Reduce  − 63/99  to the standard form.
  • a)
    11/7
  • b)
    7/11
  • c)
    -7/11
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Since its -63/99, dividing both numerator and denominator by 9 we get -63/9=-7 and 99/9=11 .
So it's -7/11

  • a)
    <
  • b)
    =
  • c)
    >
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
We are asked to fill in the blank with the appropriate symbol to compare 5/-11 and -5/11.
5/-11 is equivalent to -5/11 because the negative sign is in the denominator.
-5/11 is a negative number, and comparing both fractions, we see that they are equal.
The correct symbol is =, and the answer is Option C: =.

Which of the following is the reciprocal of the reciprocal of a rational number?
  • a)
    -1
  • b)
    1
  • c)
    0
  • d)
    The number itself
Correct answer is option 'D'. Can you explain this answer?

Anita Menon answered
Let we have a rational number having numerator as 2 and denominator as 3. The rational form is given by :
2/3
Reciprocal of a number is such that the numerator becomes denominator and the denominator becomes numerator. So, the reciprocal of the above rational no will be :
3/2
The reciprocal of the reciprocal of a rational number will be again  2/3. Hence, the reciprocal of the reciprocal of a rational number is the number itself.

simplify : 
  • a)
    1
  • b)
    1/2
  • c)
    0
  • d)
    -1
Correct answer is option 'B'. Can you explain this answer?

Kavya Yadav answered
⇒ just cancel the terms with common factors in numerator and denominator

What is the percentage of the least number in the greatest number of 3/5,9/5,1/5 and 7/5 ?
  • a)
  • b)
    10
  • c)
    20
  • d)
    25
Correct answer is option 'A'. Can you explain this answer?

Rishabh Basu answered
The given numbers can be arranged in ascending order as1/5 < 3/5 < 7/5 < 9/5
The greatest number = 9/5;
The least number = 1/5
We have,  9/5 × x/100 = 1/5 
⇒ x = 100/9 =

What is the result of 2 − 11/39 + 5/26?
  • a)
    149/39
  • b)
    149/78
  • c)
    149/76
  • d)
    149/98
Correct answer is option 'B'. Can you explain this answer?

Calculation:

- First, find a common denominator for 11/39 and 5/26, which is 78.
- Rewrite the expression with the common denominator: 2 * 78/78 - 11 * 2/78 + 5 * 3/78
- Simplify the expression: 156/78 - 22/78 + 15/78
- Combine the terms: (156 - 22 + 15)/78
- Simplify the numerator: 149/78

Therefore, the result of 2 - 11/39 + 5/26 is 149/78.

Product of two rational numbers is−8/9, one is−10/3, find other
  • a)
    -15/4
  • b)
    4/15
  • c)
    15/4
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Anita Menon answered
Let the two rational numbers be x and y.
Given that x = -10/3
Product of two rational numbers is -8/9.
⇒ x * y = -8/9
⇒ -10/3 * y = -8/9
⇒ -10y/3 = -8/9
⇒ -30y = -8
⇒ y = 4/15

Rewrite  −44/72 in the simplest form.
  • a)
    -18/11
  • b)
    -11/18
  • c)
    -11/19
  • d)
    -11/20
Correct answer is option 'B'. Can you explain this answer?

Ananya Das answered
The HCF for 44 & 72 is 4
divide the numerator & denominator by HCF 4 and rewrite the fraction
= (44/4) / (72/4)
= 11/18

____ is the multiplicative identity for rational numbers.
  • a)
    0
  • b)
    1
  • c)
    -1
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Anita Menon answered
1 is the multiplicative identity which means that identity of the number remains intact if it is multiplied by 1

Which is the greatest?
  • a)
    −5/11
  • b)
    5/−12
  • c)
    −5/17
  • d)
    −5/13
Correct answer is option 'C'. Can you explain this answer?

as all have same numerator 
just focus in denominator , number which has lowest denominator is greatest 
so 5/11 would be greatest but carefully see all number have - ve sign 
so number which is greatest is actually smallest , and which is smallest is biggest
-5/17 would be the answer 

- 6/5 + 1 = ?
  • a)
    -1/5
  • b)
    6/5
  • c)
    5/6
  • d)
    -5/6
Correct answer is option 'A'. Can you explain this answer?

Understanding the Expression
To solve the expression -6/5 + 1, we need to perform the addition carefully by converting the whole number into a fraction.
Step 1: Convert Whole Number to Fraction
- The whole number "1" can be expressed as a fraction:
- 1 = 5/5 (since 5 divided by 5 equals 1)
Step 2: Rewrite the Expression
- Now, we can rewrite the expression with both parts as fractions:
- -6/5 + 5/5
Step 3: Perform the Addition
- Now, we can add the fractions:
- (-6 + 5) / 5 = -1/5
Conclusion
The final answer to the expression -6/5 + 1 is -1/5.
Final Answer
Therefore, the correct option is:
- a) -1/5
This detailed breakdown shows how to convert numbers and perform addition with fractions, leading to the correct answer.

Write the rational number whose numerator is 4 × (– 7) and denominator is (3 –7) × (15 – 11).
  • a)
    16/28
  • b)
    8/13
  • c)
    13/8
  • d)
    28/16
Correct answer is option 'D'. Can you explain this answer?

Praveen Kumar answered
Step 1: Calculate the Numerator
The numerator is given as: 4 × (-7)
4 × (-7) = -28
So, the numerator is -28.
Step 2: Calculate the Denominator
The denominator is given as: (3 - 7) × (15 - 11)
First, calculate 3 - 7:
3 - 7 = -4
Next, calculate 15 - 11:
15 - 11 = 4
Now, multiply these two results:
(-4) × 4 = -16
So, the denominator is -16.
Step 3: Write the Rational Number
Now we can write the rational number as:
-28 / -16
Step 4: Simplify the Rational Number
Since both the numerator and denominator are negative, we can cancel the negative signs:
-28 / -16 = 28 / 16
Now, simplify 28/16:
Both 28 and 16 can be divided by 4:
28 ÷ 4 = 7, 16 ÷ 4 = 4
The rational number is: 7/4

0 ____ −7/6
  • a)
    =
  • b)
    <
  • c)
    >
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

0 is greater than any negative number.
-7/6 is a negative number, so 0 is greater than -7/6.
Therefore, the correct symbol to fill in the blank is <, since 0 is less than -7/6 when placed in the order.
The correct symbol is <, and the answer is Option B: <.

Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.
  • a)
    999/100
  • b)
    999/10
  • c)
    99
  • d)
    99/10
Correct answer is option 'B'. Can you explain this answer?

  • The smallest 2-digit number is 10.
  • The greatest 3-digit number is 999.
Thus, the rational number with the smallest 2-digit number as the denominator and the greatest 3-digit number as the numerator is:
999/10
Final Answer: Option B: 999/10.

The rational number 9/1 in integer is _____.
  • a)
    0
  • b)
    9
  • c)
    -9
  • d)
    1
Correct answer is option 'B'. Can you explain this answer?

Ananya Das answered
If we have 1 in the denominator, the number is the number of numerator only. That is 9/1=9

Which of the rational number is positive?
  • a)
    3/7
  • b)
    -5/7
  • c)
    -4/7
  • d)
    -3/7
Correct answer is option 'A'. Can you explain this answer?

The rational number that is positive is (a) 3/7. A rational number is a number that can be expressed as the ratio of two integers. Positive rational numbers are those that are greater than zero, while negative rational numbers are those that are less than zero.
In the given list of numbers, 3/7 is the only number that is greater than zero, so it is the only positive rational number. The other numbers, -5/7, -4/7, and -3/7, are all less than zero and are therefore negative rational numbers.

What should be added to -5/11 to get 3/11 ?
  • a)
    -1/4
  • b)
    8/11
  • c)
    1
  • d)
    -3/4
Correct answer is option 'B'. Can you explain this answer?

Radha menon answered
To find what should be added to -5/11 to get 3/11, we need to find the missing value that, when added to -5/11, equals 3/11.

Let's represent the missing value as "x".

The equation can be written as:
-5/11 + x = 3/11

To solve for "x", we need to isolate it on one side of the equation.

First, let's get rid of the -5/11 on the left side by adding 5/11 to both sides of the equation:
-5/11 + 5/11 + x = 3/11 + 5/11

Simplifying the left side gives us:
0 + x = 3/11 + 5/11

Combining the fractions on the right side:
x = 8/11

Therefore, the missing value that should be added to -5/11 to get 3/11 is 8/11.

In the answer choices provided, option B) 8/11 is the correct choice.

Which is the correct descending order of −2, 4/−5, −11/20, 3/4?
  • a)
    3/4 > −2 > −11/20 > 4/−5
  • b)
    3/4 > −11/20 > −4/5 > −2
  • c)
    3/4 > 4/−5 > −2 > −11/20
  • d)
    3/4 > 4/−5 >−11/20 > −2
Correct answer is option 'B'. Can you explain this answer?

L.C.M. of 5, 4 and 20 is 20. 
4/−5 × 4/4 = 16/−20;3/4 = 3×5/4×5 = 15/20
−2 < 4/−5 < −11/20 < 3/4
or 
3/4 > −11/20 > 4/−5 > −2
is the required descending order.
Rewrite equivalent fractions of the given fractions and then compare then.
Arrange them in descending order.

Which of the following statements is correct?
  • a)
    0 is called the additive identity for rational numbers.
  • b)
    1 is called the multiplicative identity for rational numbers.
  • c)
    The additive inverse of 0 is zero itself.
  • d)
    All the above.
Correct answer is option 'D'. Can you explain this answer?

All the given statements are correct. Consider 
4/5 [a] Since 4/5 + 0 = 4/5,, 1 is the additive identity of rational numbers. [b] Since 
4/5 × 1= 4/5, is the  multiplicative identity of rational numbers. [c] Since 0+0=0,
0 is the additive inverse of 0.

The sum of two rational numbers is −3. If one of the numbers is −7/5, find the other number.
  • a)
    −8/5
  • b)
    8/5
  • c)
    −6/5
  • d)
    6/5
Correct answer is option 'A'. Can you explain this answer?

Deepak Mehra answered
Let's assume another number be x
According to question
(-7/5) + x = -3
⇒ x = -3 + 7/5
⇒ x = -3/1 + 7/5
LCM of 1 and 5 is 5.
So,
⇒ x = (-15 + 7)/5
⇒ x =  -8/5 
∴ Second number is - 8/5,
The correct option is - 8/5

Which of the following is a rational number?
  • a)
     
    √2
  • b)
    π
  • c)
    7/3
  • d)
    4/0
Correct answer is option 'C'. Can you explain this answer?

7/3  is a rational number because it can be expressed as a ratio of two integers (7 and 3). The other options represent irrational numbers.

  • a)
    1
  • b)
    -1
  • c)
    7
  • d)
    -7
Correct answer is option 'B'. Can you explain this answer?

The expression given is:

Dividing by a fraction is the same as multiplying by its reciprocal. So,

Thus, the correct answer is B: -1.

Which of the following is correct?
  • a)
    0 > -4/9
  • b)
    0 < -4/9
  • c)
    0 = -4/9
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

To determine the correct answer, we need to compare 0 with -4/9
The number 0 is greater than any negative number because it is non-negative.
-4/9 is a negative fraction, so 0 is indeed greater than -4/9
Therefore, the correct statement is:
A: 0 > -4/9
This makes option A the correct choice.

The sum -3/4 + 0 = 
  • a)
    3/4
  • b)
    -3/4
  • c)
    1
  • d)
    0
Correct answer is option 'B'. Can you explain this answer?

The sum given is -3/4 + 0.
When adding zero to any number, the value of the number remains unchanged. Therefore,

So, the correct answer is -3/4​, which corresponds to Option B.

Which of the following statements is correct?
  • a)
    p is false and q is true.
  • b)
    p is true and q is false.  
  • c)
    Both p and q are true.
  • d)
    Both p and q are false.
Correct answer is option 'B'. Can you explain this answer?

Lekshmi Gupta answered
Since, every integer having a denominator 1 can be expressed in P/q form, p is true. Since, a rational number with denominator other than 1 is not an integer (e.g., 3/5), q is false.

Of which property is −7/5 + (2/−11 + −13/25) = (−7/5 + 2/−11) + −13/25 an example?
  • a)
    Closure property
  • b)
    Commutative property
  • c)
    Associative property
  • d)
    Identity property
Correct answer is option 'C'. Can you explain this answer?

- The equation −7/5 + (2/−11 + −13/25) = (−7/5 + 2/−11) + −13/25 demonstrates the Associative Property.
- The associative property states that the way numbers are grouped in multiplication does not change the result.
- Rearranging the parentheses in multiplication expressions does not affect the result, which is exactly what is shown here.

Which of the following is correct?
  • a)
    p is true and q is false.  
  • b)
    p is false and q is true.
  • c)
    Both p and q are true.
  • d)
    Both p and q are false.
Correct answer is option 'A'. Can you explain this answer?

Ritika Singh answered
Let us consider a fraction 3/5 and a rational number = 14/7
By definition, 3/5 is a rational number. So, p is true. By definition, -4/7 is not a fraction, since, −4 is not a natural number. So, q is false.

Which of the following is correct?
  • a)
  • b)
  • c)
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Let's solve this:
-4/5 = -0.8
-3/10 = -0.3
Since -0.8 is less than -0.3, the correct answer is:
a) -4/5 < -3/10.
Thus, the correct answer is A.

Chapter doubts & questions for Rational Numbers - Online MCQ Tests for Class 7 2025 is part of Class 7 exam preparation. The chapters have been prepared according to the Class 7 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 7 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Rational Numbers - Online MCQ Tests for Class 7 in English & Hindi are available as part of Class 7 exam. Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.

Signup to see your scores go up within 7 days!

Study with 1000+ FREE Docs, Videos & Tests
10M+ students study on EduRev