CUET Mathematics 2025 14 May Shift 2 PYQs

Which of the following statements are correct about the Compound Annual Growth Rate (CAGR)?

(A) It can be used to compare historical returns on different investment portfolios.

(B) It helps smooth returns when growth rates are expected to be volatile and inconsistent.

(C) It is unable to track the performance of various business measures of one or multiple companies alongside one another.

(D) It can be used to calculate the average growth of a single investment.

Choose the correct answer from the options given below:

A person invested ₹ 10000 in a stock of a company for 6 years. The value of his investment at the end of each year is given in the following table:

2018	2019	2020	2021	2022	2023
₹ 11000	₹ 11500	₹ 13000	₹ 11800	₹ 12200	₹ 14000

The compound annual growth rate (CAGR) of his investment is:

[Given $(1.4)^{1/6} = 1.058$]

An automobile dealer wishes to buy four luxury cars of different brands given in the table below with some down payment and balance in equal monthly installments (EMI) for 10 years. The bank charges 9% interest per annum compounded monthly.

$\left( {Given } \frac{0.0075 (1.0075)^{120}}{(1.0075)^{120}-1} = 0.01266\right)$

Luxury Car	Price of the Car (in Rs.)	Down payment (in Rs.)
P	25,00,000	5,00,000
Q	35,00,000	12,00,000
R	45,00,000	15,00,000
S	42,00,000	15,00,000

Match List-I with List-II

List-I	List-II
Luxury Car	EMI (in Rs.)
(A) P	(I) 34,182
(B) Q	(II) 37,980
(C) R	(III) 29,118
(D) S	(IV) 25,320

Choose the correct answer from the options given below: