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MATHS Assertion (A) & Reason (B) MCQ

Direct and Inverse Proportions · UP Board (UPMSP) STD 8 (UPMSP - English Medium). 60 questions.

Questions · Page 1 of 2

Assertion (A) & Reason (B) MCQ

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50 questions · timed · auto-graded

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): Apala types $200$ words in half an hour. Then she will type $90$ words in $12$ minutes
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • 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): $20$ trucks can hold $150$ metric tonnes. $12$ trucks will hold $80$ metric tonnes. Reasons
(R): A direct proportion shows the direct the relation between two quantities.
  • 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 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): The rent of $7$ hectares is $Rs 875. 16$ hectares = Rs $1600$
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • 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): A machine in a soft drink factory fills $600$ bottles in $5$ hours. Then $240$ bottles will it fill in $2$ hours Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • ✓
    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): A boy runs $1k\ m$ in $10$ minutes. Then He will take $6$ minutes to ran $600\ m$
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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 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): $40$ cows can graze a field in $16$ days. The $64$ cows will graze the same field in $10$ days Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • ✓
    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 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): $x$ and $y$ vary inversely with each other. If $x - 15$ when $y = 6$, then the value of $x$ when $y = 15$ is $6$
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • ✓
    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 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): $10$ men can dig a trench in $15$ days. Then in $55$ days $3$ men take to dig a trench
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • 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): $6$ pipes are required to fill a tank in $1$ hour. Then in $72$ minutes it will take if only $5$ pipes of the same type are used Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • ✓
    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): If an amount of food last for $40$ days for $120$ men, then for $50$ days it will last for $80$ men at the same rate Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • 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 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): A train travels 60km in $1$ hour. Then it will take $2.6$ hours to go $150\ km$
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • 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): $3$ knives cost Rs $63. 17$ knives costs Rs $353$
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • 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 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): $8g$ of sandal wood cost Rs $40. 10g$ costs Rs $50$
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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 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): A man walks $20\ km$ in $5$ hours. Then he will take $8$ hours in walking $32\ km$
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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): $120$ copies of a book cost Rs $600. 400$ copies costs Rs $2400$.
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • 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): If $x = 20$ and $y = 40$, then $x$ and $y$ are inversely proportional.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • ✓
    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): If $3$ quintals of coal cost Rs $6000$, the cost of $120\ kg$ is Rs $2500$
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • 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 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): If $18$ women can reap a field in $7$ days, then in $22$ days $6$ women reap the same field
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • 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 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): If $20$ cows eat as much as $15$ oxen, then $48$ cows will eat at much as $36$ oxen
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • ✓
    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 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): A shot travels 90m in $1$ second. Then it will take 2.5sec to go $225\ m$
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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): $10$ metres of cloth cost Rs $1000$. $4$ metres costs Rs $400$
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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): If $x = ky$ and when $y = 4, x = 8$ then $k = 4$
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • 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 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): $3$ lambs finish eating turnips in $8$ days. Then in $12$ days will $2$ lambs finish them
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • ✓
    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 241 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 labourer is paid Rs $400$ for $2$ days work. Then if he works for $5$ days he will get Rs $1100$
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • 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 251 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): $15$ books weigh $6\ kg$. $6$ books weighs $2.6\ Kg$ 
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • 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 261 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): If $8$ men can do a piece of work in $20$ days, then in $8$ days could $20$ men do the same work Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • ✓
    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 271 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 cost of $50$ sticks at Rs $24$ per score is Rs $60$
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • 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 281 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 fare for a journey of 40km is Rs $25$. Then $64\ km$ can be travelled for Rs $40$
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
  • ✓
    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 291 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 horse eats 18kg of corn in $12$ days. $13.5kg$ he eat in 9 days
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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 301 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): $15$ men can now $40$ hectares of land in $1$ day. $6$ men now in $1$ day $= 16$ hectares
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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 311 Mark
Assertion (A): x and y vary inversely with each other. If x - 15 when y = 6, then the value of x when y = 15 is 6.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • ✓
    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.
A
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MCQ 321 Mark
Assertion (A): The rent of 7 hectares is Rs 875. 16 hectares = Rs 1600.
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • 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.
D
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MCQ 331 Mark
Assertion (A): The fare for a journey of 40km is Rs 25. Then 64km can be travelled for Rs 40.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • ✓
    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.
A
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MCQ 341 Mark
Assertion (A): The cost of 50 sticks at Rs 24 per score is Rs 60.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • ✓
    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.
A
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MCQ 351 Mark
Assertion (A): If x = ky and when y = 4, x = 8 then k = 4.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • 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.
D
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MCQ 361 Mark
Assertion (A): If x = 20 and y = 40, then x and y are inversely proportional.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • ✓
    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.
A
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MCQ 371 Mark
Assertion (A): If an amount of food last for 40 days for 120 men, then for 50 days it will last for 80 men at the same rate.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • 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.
D
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MCQ 381 Mark
Assertion (A): If 8 men can do a piece of work in 20 days, then in 8 days could 20 men do the same work.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • ✓
    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.
A
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MCQ 391 Mark
Assertion (A): If 3 quintals of coal cost Rs 6000, the cost of 120kg is Rs 2500.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • 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.
D
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MCQ 401 Mark
Assertion (A): If 20 cows eat as much as 15 oxen, then 48 cows will eat at much as 36 oxen.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • ✓
    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.
A
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MCQ 411 Mark
Assertion (A): If 18 women can reap a field in 7 days, then in 22 days 6 women reap the same field.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • 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.
D
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MCQ 421 Mark
Assertion (A): A train travels 60km in 1 hour. Then it will take 2.6 hours to go 150km.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • 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.
D
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MCQ 431 Mark
Assertion (A): Apala types 200 words in half an hour. Then she will type 90 words in 12 minutes.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • 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.
D
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MCQ 441 Mark
Assertion (A): A man walks 20km in 5 hours. Then he will take 8 hours in walking 32km.
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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.
A
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MCQ 451 Mark
Assertion (A): A machine in a soft drink factory fills 600 bottles in 5 hours. Then 240 bottles will it fill in 2 hours.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • ✓
    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.
A
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MCQ 461 Mark
Assertion (A): A labourer is paid Rs 400 for 2 days work. Then if he works for 5 days he will get Rs 1100.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • 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.
D
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MCQ 471 Mark
Assertion (A): A horse eats 18kg of corn in 12 days. 13.5kg he eat in 9 days.
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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.
A
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MCQ 481 Mark
Assertion (A): A boy runs 1km in 10 minutes. Then He will take 6 minutes to ran 600m.
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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.
A
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MCQ 491 Mark
Assertion (A): 8g of sandal wood cost Rs 40. 10g costs Rs 50.
Reasons (R): A direct proportion shows the direct the relation between two quantities.
  • ✓
    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.
A
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MCQ 501 Mark
Assertion (A): 6 pipes are required to fill a tank in 1 hour. Then in 72 minutes it will take if only 5 pipes of the same type are used.
Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
  • ✓
    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.
A
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