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CUET UG Mathematics Applied Previous Year Questions (PYQs)

CUET UG Mathematics Applied Exponential Series PYQ

CUET UG Mathematics Applied PYQ
Which of the following statements are correct?

A. If discount rate $>$ coupon rate, then present value of a bond $>$ face value
B. An annuity in which the periodic payment begins on a fixed date and continues forever is called perpetuity
C. The issuer of bond pays interest at fixed interval at fixed rate of interest to investor is called coupon payment
D. A sinking fund is a fixed payment made by a borrower to a lender at a specific date every month to clear off the loan
E. The issuer of bond repays the principal i.e. face value of the bond to the investor at a later date termed as maturity date
Choose the correct answer from the options given below:





Go to Discussion
CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

A. If discount rate $>$ coupon rate, bond sells at discount
So present value $<$ face value ❌ False

B. Payment continues forever → Perpetuity ✔ True

C. Fixed periodic interest paid by issuer → Coupon payment ✔ True

D. Sinking fund is periodic deposit to accumulate money, not direct monthly loan repayment ❌ False

E. Principal repaid at maturity date ✔ True

Correct statements: B, C, E
CUET UG Mathematics Applied PYQ
Which of the following statements is true?

A. In flat rate method,
$\text{EMI}=\frac{\text{Principal}+\text{Interest}}{\text{Number of Payments}}$

B. In reducing balance method,
$\text{EMI}=P\times\frac{i}{1-(1+i)^{-n}}$

C. In sinking fund, a fixed amount at regular intervals is deposited.

D. Approximate Yield to Maturity

$\text{YTM}=\frac{\text{Coupon Payment}+\frac{\text{Face Value}-\text{Present Value}}{\text{Number of Payments}}}{\frac{\text{Face Value}+\text{Present Value}}{2}}$

Choose the correct answer from the options given below:





Go to Discussion
CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

A ✔ Correct formula for flat rate EMI

B ✔ Correct reducing balance EMI formula

C ✔ Definition of sinking fund

D ✔ Standard approximate YTM formula

Hence all statements are true.
CUET UG Mathematics Applied PYQ
Mr. Dev wishes to purchase an AC for Rs. $45,000$ with a down payment of Rs. $5,000$ and balance in EMI for 5 years. If Bank charges $6%$ per annum compounded monthly, then monthly EMI is (use $\frac{0.005}{1-(1.005)^{-60}}=0.0194$)





Go to Discussion
CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

Loan amount

$=45000-5000=40000$

Monthly interest rate

$=\frac{6%}{12}=0.5%=0.005$

Number of months

$=5\times 12=60$

EMI formula:

$\text{EMI}=P\times\frac{i}{1-(1+i)^{-n}}$

Given factor:

$\frac{0.005}{1-(1.005)^{-60}}=0.0194$

So,

$\text{EMI}=40000\times 0.0194$

$=776$

CUET UG Mathematics Applied PYQ
The cost of a machine is Rs. $20,000$ and its estimated useful life is $10$ years. The scrap value of the machine, when its value depreciates at $10%$ p.a., is (use $(0.9)^{10}=0.35$)





Go to Discussion
CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

$\text{Value after } n \text{ years}=P(1-r)^n$


Here,


$P=20000$


$r=0.1$


$n=10$


Value


$=20000(0.9)^{10}$


Given


$(0.9)^{10}=0.35$


So,


$=20000\times 0.35$


$=7000$


CUET UG Mathematics Applied

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