Assertion Reasoning Quiz

Question 1 of 7

Assertion (A): In \(T+T+T=UT\), the solution is \(T=0,U=0\).
Reason (R): The non-zero solution \(T=5,U=1\) gives \(5+5+5=15\).

Work from the units column and carry left.

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. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 2 of 7

Assertion (A): A bulb starting ON is OFF after 77 toggles.
Reason (R): An even number of toggles changes the bulb's state.

Track complete pairs of toggles, then the leftover toggle.

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. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 3 of 7

Assertion (A): Lakpa's claimed total ₹205 is impossible for an odd number of ₹1 coins, an odd number of ₹5 coins and an even number of ₹10 coins.
Reason (R): Odd amount \(+\) odd amount \(+\) even amount is even.

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. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 4 of 7

Assertion (A): The call sequence \(0,1,2,1\) is possible.
Reason (R): At each position its call does not exceed the number of people before it, and heights \(4,2,1,3\) realise the sequence.

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. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 5 of 7

Assertion (A): The 20th Virahanka term is even.
Reason (R): The position number 20 is even.

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. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 6 of 7

Assertion (A): Any person who calls 0 must be the tallest in the whole line.
Reason (R): A call of 0 only says that nobody before that person is taller.

Each badge counts taller people standing to that person's left.

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. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 7 of 7

Assertion (A): A \(37 \times28\) grid contains an even number of small squares.
Reason (R): The sum \(37+28\) is odd.

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. D A is false, but R is true.

Select one option. Answers are shown after the test.

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