10 Question MCQ (including Assertion)

Question 1 of 10

Assertion (A): Subtracting 165 from the reported number in the chapter’s date trick leaves \(100M+D\).
Reason (R): A valid day number is at most 31.

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 10

A complete \(3\times3\) calendar grid has sum 198. What is its centre date?

???

Sum = 198

A 20 B 22 C 24 D 18

Select one option. Answers are shown after the test.

Question 3 of 10

If the top-left entry of a \(2\times2\) calendar grid is \(a\), what is the sum of its four entries?

aa+1

a+7a+8

A \(4a+8\) B \(4a+14\) C \(4a+16\) D \(4a+28\)

Select one option. Answers are shown after the test.

Question 4 of 10

Use the digits 2, 6, and 9 once each. Which arrangement gives the largest product?

A \(92\times6\) B \(62\times9\) C \(96\times2\) D \(69\times2\)

Select one option. Answers are shown after the test.

Question 5 of 10

Naina has twice as many cows as Gauri. If Naina gives Gauri 3 cows, they have equal numbers. How many cows do they have initially?

A Gauri 3, Naina 6 B Gauri 9, Naina 18 C Gauri 6, Naina 12 D Gauri 12, Naina 24

Select one option. Answers are shown after the test.

Question 6 of 10

In a three-row number pyramid, the left bottom number is increased by 3 and the right bottom number is decreased by 3. The middle bottom number is unchanged. What happens to the top?

?

??

a+3bc-3

A It increases by 6. B It decreases by 6. C It increases by 3. D It remains unchanged.

Select one option. Answers are shown after the test.

Question 7 of 10

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.

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 8 of 10

Assertion (A): In the chapter’s date trick, a report of 1390 represents 25 December.
Reason (R): \(1390-165=1225=100(12)+25\).

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 9 of 10

Add 247, 472, and 724. What quotient is obtained when the sum is divided by 37?

A 37 B 39 C 41 D 13

Select one option. Answers are shown after the test.

Question 10 of 10

Let \(p<q<r\) be positive digits. Why is \(qp\times r\) greater than \(rp\times q\)?

A Their tens-place contributions differ by \(10p\). B Because \(q+r>p\). C Because the larger two-digit number must give the larger product. D Both have tens contribution \(10qr\), but their remaining terms are \(pr\) and \(pq\), and \(pr>pq\).

Select one option. Answers are shown after the test.

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10 Question MCQ (including Assertion)