Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion : The first term and the common ratio of a G.P., is 2 and 3 respectively and whose last term is 486 . Then the sum of the whose term is 728 .
Reason: The sum of the $n$ term is $\frac{l r-a}{r-1}$,
Where $l=$ last term

✓
Both assertion and reason are correct and reason is the correct explanation of assertion.
B
Both assertion and reason are correct but reason is not the correct explanation of assertion.
C
Assertion is correct but reason is incorrect.
D
Assertion is incorrect but reason is correct.

Answer

Correct option: A.

Both assertion and reason are correct and reason is the correct explanation of assertion.

(a) Both assertion and reason are correct and reason is the correct explanation of assertion.
Explanation :
We have, $a=2, r=3$, last term $(l)=486$
The sum of $n^{\text {th }}$ term is,

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MCQ 21 Mark

Assertion : If the 4th, 10th and 16th terms of a G.P. are $x, y$ and $z$ respectively, then the $x, y, z$ are in G.P.
Reason : The last term of an G.P. is $l=a r^{n-1}$, where $l$ is the last term of an G.P.

A
Both assertion and reason are correct and reason is the correct explanation of assertion.
B
Both assertion and reason are correct but reason is not the correct explanation of assertion.
C
Assertion is correct but reason is incorrect.
D
Assertion is incorrect but reason is correct.

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MCQ 31 Mark

Assertion: The sum of first 5 terms of the list of numbers $3,6,12 \ldots$ is 93 .
Reason : The sum of first n terms of an G.P. is given by $\frac{a\left(1-r^*\right)}{(1-r)}$; if $r <1$

A
Both assertion and reason are correct and reason is the correct explanation of assertion.
B
Both assertion and reason are correct but reason is not the correct explanation of assertion.
C
Assertion is correct but reason is incorrect.
D
Assertion is incorrect but reason is correct.

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MCQ 41 Mark

Assertion : The 4 th term of a G.P. is 16 and the 7 th term is 128 , then the first term and the common ratio of the G.P. is 2 .
Reason : The nth term of an AP is given by $a r^{n-1}$, where $a$ and $r$ are the first term and the common ratio respectively.

A
Both assertion and reason are correct and reason is the correct explanation of assertion.
B
Both assertion and reason are correct but reason is not the correct explanation of assertion.
C
Assertion is correct but reason is incorrect.
D
Assertion is incorrect but reason is correct.

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Mathematics Assertion (A) & Reason (B) MCQ

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