Quantitative Reasoning I BS AIOU — Allama Iqbal Open University 2025

ALLAMA IQBAL OPEN UNIVERSITY

Level: BS Semester Spring '25

Course & Code Quantitative Reasoning-I (9424) Examination Final Exam

Total

Time Allowed 03 Hours Marks/Passing

Marks 100/40

Note: ATTEMPT ANY FIVE (05) QUESTIONS.

Q. No. Questions Marks

Q.No.1

(i) If a train travels at a speed of 100 miles per hour, how far will it travel in 2.5 08+12

hours?

(ii) How to create a conditional statement's converse, contrapositive, and opposite

statements, as well as their corresponding truth tables. Next, determine which

of the two statements follows reasoning from the original.

Q.No.2

(i) Consider a five-sided dice having zeros on all four faces and a hundred on 06+14

the fifth face. What is the chance that if the dice are rolled the person gets the

number 100?

(ii) Solve the inequality u+3 > u-2. Write down the solution interval notation

u+2 u-1

and represent the solution interval on the real line.

Q.No.3

(i) In keeping with the previous scenario, Bob will require a three-year 14+06

loan for an extra Rs. 500,000. Sadly, his wealthy uncle has lost all of his

money. Thus, he takes out a bank loan with a five percent yearly interest rate that

is compounded annually; the loan balance and interest are due in full after three

years. What would Bob have to pay in interest overall?

(ii) The speed of a boat in still water is 15 km/hr. It goes 30 km upstream and

returns downstream to the original point in 4 hours 30 minutes. Find the speed

of the stream.

Q.No.4

(i) To find out if two claims (p v q) A r; (p A r) V (p A r) are logically 10+10

equivalent, make a truth table for each pair of them.

(ii) How did the mathematical contributions of Thales and Nicomachus influence

the development of Greek mathematics and its impact on modern mathematical

believe?

Q.No.5

(i) A grain storage facility is a hemispherical shell with a radius of thirty meters. 10+10

What is the volume of the building? How much paint is needed to cover the

outside

(ii) Write down the truths for p and q, p or q, and if p then q. List all the meanings

of truth.

Q.No.6

(i) A thirty by forty-meter rectangular foundation and fifteen-meter-tall vertical 10+10

walls make up a water reservoir. The reservoir was full by the time summer

arrived. The water was four meters deep at summer's end. In all, how much

water was consumed?

(ii) If the businessman later sold all shares at Rs. 150 per share, determine his

total percentage return on investment, considering both the dividend and capital

gain