Which of the following are similarities between the sinking fund and the savings account? (A) The sinking fund and the savings account are both financial tools. (B) Both can be used in any emergency. (C) They both involve setting aside an amount of money for the future. (D) Both are long-term accounts which can be closed any time. Choose the correct answer from the options given below:

Which of the following are similarities… - CUET UG 2025 Mathematics PYQ

CUET UG 2025 — Mathematics Statistics & Applications

2025mcqmedium

Which of the following are similarities between the sinking fund and the savings account?

(A) The sinking fund and the savings account are both financial tools.

(B) Both can be used in any emergency.

(D) Both are long-term accounts which can be closed any time.

Choose the correct answer from the options given below:

Official previous-year question

Held on 15 May 2025 · Verified 13 Jul 2026.

Options

A
(A), (B) and (D) only
B
(A), (B) and (C) only
C
(B), (C) and (D) only
D
(A) and (C) only

Did you get this right?

Solution

An equilateral triangle has sides increasing at 2 cm/sec. The rate at which the area increases when the side is 10 cm needs to be found.

For an equilateral triangle with side $a$ :

$A = \frac{\sqrt{3}}{4}a^2$

Differentiating both sides with respect to time $t$ :

$\frac{dA}{dt} = \frac{\sqrt{3}}{4} \times 2a \times \frac{da}{dt}$

$\frac{dA}{dt} = \frac{\sqrt{3}}{2} \times a \times \frac{da}{dt}$

The term $\frac{da}{dt}$ appears due to the chain rule, since $a$ changes with time.

Given:

$a = 10$ cm

$\frac{da}{dt} = 2$ cm/sec

Substituting these values:

$\frac{dA}{dt} = \frac{\sqrt{3}}{2} \times 10 \times 2$

$\frac{dA}{dt} = 10\sqrt{3}$ cm²/sec

Therefore, the area increases at a rate of $10\sqrt{3}$ cm²/sec.

Your note

CUET UG Statistics & Applications in other years

Statistics & Applications 2024

More CUET UG Statistics & Applications questions

The rise in prices before Diwali is an example of

2025easy

Mr. X purchased a house from a company for ₹ 7,00,000 and made a down payment of ₹ 1,50,000. He repays the balance in 25 years by equal monthly installments at 9 % per annum compounded monthly. The equated monthly installment (EMI) is: [Given that : (1.0075)⁻³⁰⁰ = 0.106]

2025medium

Consider the following hypothesis $H_0: \mu = 315$ and $H_a: \mu \neq 315$ A sample of 60 provided a sample mean of 324.6. The standard deviation ($\sigma$) is 14 and level of significance $\alpha = 0.05$. Then the confidence interval is: [Given: $Z_{a/2}{\frac{14}{\sqrt60}} = 3.54$]

2025medium

With reference to sampling, which of the following are correct? (A) Simple random sampling is probability sampling (B) Snow-ball sampling is non-probability sampling (C) Stratified sampling is probability sampling (D) Cluster sampling is non-probability sampling Choose the correct answer from the options given below:

2025medium

The effective rate equivalent to a nominal rate of 12% compounded quarterly is: (Given $(1.03)^4=1.1256$)

2025medium

View all Statistics & Applications questions