Questions

Assertion (A) & Reason (B) MCQ

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23 questions · auto-graded multiple-choice test.

MCQ 11 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{5}{4}$ is a proper fraction
Reason (R): Proper fraction is a fraction whose numerator is smaller than its denominator
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $ A$
  • C
    $A $ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 21 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{9}{8}$ is an improper fraction.
Reason (R): An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator.
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 31 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{2}{3}$ is an improper fraction
Reason (R): An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 41 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): ½ fraction of a day is $12$ hours
Reason (R): a fraction is a number representing part of a whole
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 51 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{5}{2}$ is obtained when we divide a whole into five equal parts and three parts
Reason (R): a fraction is a number representing part of a whole.
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 61 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Three parts out of $4$ equal parts is ¾.
Reason (R): The whole may be a single object or a group of objects.
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 71 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The fraction representing the shaded portion is $\frac{1}{6}$

Reason (R): a fraction is a number representing part of a whole
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 81 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): ¼ fraction of $₹ 1$ is $50$ paise

Reason (R): a fraction is a number representing part of a whole
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 91 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): the mixed fraction of $2$ ¾ as an improper fraction
Reason (R): An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 101 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): a proper fraction whose numerator is $1$ and denominator is $3$
Reason (R): Proper fraction is a fraction whose numerator is smaller than its denominator
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 111 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{7}{27}$ is a like fraction.
Reason (R): Fractions with same denominators are called like fractions.
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 121 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The equivalent fraction of $\frac{20}{36}$ with denominator $9$ is $\frac{5}{9}$
Reason (R): Equivalent fractions are two or more fractions that are all equal.
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 131 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{8}{15}$ is a like fraction.
Reason (R): Fractions with same denominators are called like fractions.
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 141 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The simplest form of $\frac{45}{20}$ is $\frac{9}{4}$
Reason (R): a fraction is a number representing part of a whole
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 151 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The fraction representing the shaded portion is ¼
Reason (R): The whole may be a single object or a group of objects.
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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MCQ 161 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The simplest form of $\frac{12}{20}$ is $\frac{3}{5}$
Reason (R): A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except $1$
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 171 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The $HCF$ of $36$ and $24$ is $12.$
Reason (R): $HCF$ helps us to reduce a fraction to its lowest form.
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 181 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R) $ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{1}{7}$ is obtained when we divide a whole into seven equal parts and take one part
Reason (R): a fraction is a number representing part of a whole.
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 191 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): the mixed fraction of $1$½ as an improper fraction
Reason (R): A mixed fraction is defined as a fraction formed by combining a whole number and a fraction
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: B.
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
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MCQ 201 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{3}{7}$ is obtained when we divide a whole into seven equal parts and take three parts
Reason (R): a fraction is a number representing part of a whole.
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 211 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): ½ fraction of an hour is $30$ minutes
Reason (R): a fraction is a number representing part of a whole
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 221 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{15}{20}$ is equivalent to $\frac{3}{4}$
Reason (R): A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except $1$
  • Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • D
    $A$ is false but $R$ is true
Answer
Correct option: A.
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
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MCQ 231 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): $\frac{1}{2}$ fraction of ₹ $1$ is $25$ paise
Reason (R): a fraction is a number representing part of a whole
  • A
    Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  • B
    Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  • C
    $A$ is true but $R$ is false
  • $A$ is false but $R$ is true
Answer
Correct option: D.
$A$ is false but $R$ is true
$A$ is false but $R$ is true
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