Assertion (A) & Reason (B) MCQ

Question 11 Mark

Assertion (A): A sum of money doubles itself in 10 years. The rate of interest is $10 \%$ p.a.
Reason ( $R$ ): At the same rate, the money will treble itself in 15 years.

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Question 21 Mark

Assertion (A): Sudhir took a loan of ₹ 64,000 from a bank at $6 \%$ p.a. for 2 years. After 2 years he has to pay ₹ 71,680 to the bank.
Reason (R): Sudhir lent this amount of ₹ 64,000 to Namit at $10 \%$ p.a. for 2 years. After 2 years he will earn ₹ 5,720.

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Question 31 Mark

Assertion (A): If $₹ x$ is the SI on a certain sum for $x$ years at $x \%$ p.a. then the sum is $₹\left(\frac{100}{x}\right)$.
Reason (R): $P=\frac{100 \times SI }{R \times T} ;$ where P= principal, R= rate % p.a., T= time and SI = simple interest.

Answer

(a): $SI =₹ x, T=x$ years, $R=x \%$ p.a.
Then, $P=\frac{100 \times SI }{R \times T}=₹\left(\frac{100 \times x}{x \times x}\right)=₹\left(\frac{100}{x}\right)$.
$\therefore A$ and R are both true and R is the correct explanation of A .

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MATHS Assertion (A) & Reason (B) MCQ

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