# PIEAS SAMPLE MATHEMATICS QUESTIONS

Pakistan Institute of Engineering and Applied Sciences (PIEAS) is a federal public university situated in Islamabad.  The university provides courses in Engineering, Natural Sciences and formal sciences mainly but also indulges in BS, MS, M phil, PHD programmers. Other than these the university also offers short courses to Engineers, Scientists and other professionals for their continuing professional development.The Institute has been ranked No. 1 for Engineering & Technology by the Higher Education Commission (HEC), Pakistan, in all the three rankings (2006, 2012, 2013).

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Topic:

Trigonometry

Question:

In a triangle ABC, A = 45o, then the value of (1 + cot B)(1 + cot C) is equal to?

Options:

• 0
• 1
• -1
• 2

Correct Option:

2

Explanation:

Easiest way to solve such questions is to assume angles of triangle;

A = 45o

A + B + C = 180o

B + C = 180 – 45o = 135o

Let’s take, B = 90o & C = 45o

= (1 + cot 90o) (1 + cot 45o)

= (1 + 0) (1 + 1)

= 1 x 2 = 2

Topic:
Number Systems

Question:
Which of the following numbers lie on the imaginary axis of the Argand diagram?

Options:

• 8 + 3i
• 0 + 3i
• 8 + oi
• None of the above

Correct Option:
0 + 3i

Explanation:
Only B has no real part so its lies on the imaginary axis of the Argand diagram.

Topic:

Probability & Permutations

Question:

If five digit numbers are formed from 1, 2, 3, 4, 8. What is the probability of forming a number with 2 and 8 not next to each other?

Options:

• 2/5
• 2/7
• 5/7
• 3/5

Correct Option:

3/5

Explanation:

So probability of 2 and 8 not next to each other is = 72/120 = 3/5

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