Linear Inequalities, Time Value of Money & Basic Calculus — Practice

Question 1

The solution of the inequality −3x + 5 > 14 is

Accepted Answer

B

Question 2

A sum of 10,000 rupees is invested at 12% per annum compounded quarterly for 2 years. The rate per conversion period and the number of conversion periods are

Accepted Answer

B

Question 3

The effective annual rate corresponding to a nominal rate of 10% per annum compounded half-yearly is approximately

Accepted Answer

B

Question 4

Given log 2 = 0.3010 and log 1.08 = 0.0334, the number of years for a sum to double at 8% compounded annually is approximately

Accepted Answer

B

Question 5

The present value of an annuity of 5,000 rupees payable at the end of each year for 3 years at 10% per annum is closest to

Accepted Answer

A

Question 6

An annuity of 2,000 rupees is payable at the beginning of each year for 5 years at 8%. Its future value, given that the corresponding ordinary annuity future value is 11,733, is

Accepted Answer

B

Question 7

The present value of a perpetuity of 6,000 rupees per year at a discount rate of 8% is

Accepted Answer

A

Question 8

A company wishes to accumulate 5,00,000 rupees in 4 years by equal annual deposits at the end of each year, earning 10% per annum. Given that (1.10)⁴ = 1.4641, the annual deposit is closest to

Accepted Answer

A

Question 9

If y = x² log x, then dy/dx equals

Accepted Answer

B

Question 10

The function f(x) = x³ − 6x² + 9x + 2 has a local maximum at

Accepted Answer

A

Question 11

The value of ∫(3x² + 2x + 1) dx is

Accepted Answer

B

Question 12

The difference between compound interest and simple interest on a sum for 2 years at 10% per annum is 200 rupees. The sum is

Accepted Answer

B

Question 13

A manufacturer produces x units of A and y units of B. Each unit of A needs 2 hours of machine time and each unit of B needs 3 hours, with at most 60 machine hours available. Each unit of A needs 4 hours of labour and each of B needs 2 hours, with at most 80 labour hours available. The constraints are

Accepted Answer

B

Question 14

If the total cost function is C(x) = 3x² + 5x + 100, the marginal cost when x = 10 is

Accepted Answer

A

Question 15

The value of the definite integral of 2x from x = 1 to x = 3 is

Accepted Answer

A

Practice — Linear Inequalities, Time Value of Money & Basic Calculus

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