Short Quiz

Question 1 of 5

The sum of all coefficients in the expansion of \((2x-3)^6\) is

A 1 B 64 C 729 D \(-1\)

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Question 2 of 5

Assertion: The coefficient of \(x^2\) in \((1+x)^5\) is \(10\).
Reason: Binomial coefficients satisfy \[ {}^{n}C_r={}^{n}C_{n-r}. \]

A Both Assertion and Reason are true, and Reason is the correct explanation of Assertion. B Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion. C Assertion is true, but Reason is false. D Assertion is false, but Reason is true.

Select one option. Answers are shown after the test.

Question 3 of 5

The value of \({}^{9}C_0-{}^{9}C_1+{}^{9}C_2-\cdots-{}^{9}C_9\) is

A 1 B 512 C 0 D \(-1\)

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Question 4 of 5

How many terms are present in the expansion of \((a+b)^{12}\)?

A 12 B 13 C 14 D 11

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Question 5 of 5

Assertion (A): The value of \((1.01)^{1000000}\) is strictly greater than 10,000.
Reason (R): \((1+x)^n = 1 + nx + \text{other positive terms}\) for any positive real \(x\) and positive integer \(n\).

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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