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Assertion Reasoning Quiz

Chapter 6 Class 8 - Algebra Play (Ganita Prakash II) | 7 questions | about 6 minutes

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Question 1 of 7
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Question 1 of 7
Assertion (A): The rule “triple a number, add 12, divide by 3, subtract the original number” always ends at 4.
Reason (R): After division, the expression becomes \(x+12\).
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Question 2 of 7
Assertion (A): Using 2, 6, and 9 once each, \(92\times6\) gives the largest product.
Reason (R): The greatest arrangement is \(62\times9=558\).
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Question 3 of 7
Assertion (A): The cyclic sum \(abc+bca+cab\) is a multiple of 37 but is not always a multiple of 3.
Reason (R): The sum equals \(111(a+b+c)\) and \(111=3\times37\).
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Question 4 of 7
Assertion (A): A three-row pyramid with bottom row \(4,7,6\) has top 24.
Reason (R): The top of any three-row pyramid is the sum of its three bottom numbers.
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Question 5 of 7
Assertion (A): A \(2\times2\) calendar grid with top-left date \(a\) has sum \(4a+16\).
Reason (R): Its entries are \(a,a+1,a+7,a+8\).
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Question 6 of 7
Assertion (A): The rule “multiply \(x\) by 4, add 20, divide by 4, then subtract \(x\)” always ends at 5.
Reason (R): The final expression is \(\dfrac{4x+20}{4}-x=5\).
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Question 7 of 7
Assertion (A): For bottom row \(a,b,c\) in a three-row number pyramid, the top is \(a+2b+c\).
Reason (R): The top is \((a+b)+(b+c)\).
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