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Assertion (A) & Reason (B) MCQ

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MCQ 11 Mark
Assertion (A): If $S_n$ is the sum of the first $n$ terms of an A.P., then its $n^{\text {th }}$ term $a_n$ is given by $a_n=S_n-S_{n-1}$
Reason (R): The $10^{\text {th }}$ term of the A.P. $5,8,11,14, \ldots$ is 35
  • 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.
  • A is true but R is false.
  • D
    A is false but R is true.
Answer
Correct option: C.
A is true but R is false.
(C) A is true but R is false.
Explanation: $a_{10}=a+9 d$
= 5 + 9(3) = 5 + 27 = 32
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MCQ 21 Mark
Assertion (A): If we join two hemispheres of same radius along their bases, then we get a sphere.
Reason (R): A tank is made of the shape of a cylinder with a hemispherical depression at one end. The height of the cylinder is 1.45 m and radius is 30 cm. The total surface area of the tank is $3.3 m^2$.
  • A
    Both A and R are true and R is the correct explanation of A.
  • 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.
Answer
Correct option: B.
Both A and R are true but R is not the correct explanation of A.
(B) Both A and R are true but R is not the correct explanation of A.
Explanation:  Both A and R are true but R is not the correct explanation of A.
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Assertion (A) & Reason (B) MCQ - Maths STD 10 Questions - Vidyadip