# NUST SAMPLE MATHEMATICS QUESTIONS

National University of Sciences and Technology NUST very well-known and top rated engineering university of Pakistan. NUST was founded in 1991 with mission of providing quality education and invest in research. So far in a very short period of time they are able to earn very good name in world. NUST provides wide range of programs to accommodate students from every field which also includes engineering programs offered to DAE candidates. Due to their high standards their fee structure is also high, but for poor people they have scholarship facilities (Need based Scholarship). Minimum 60% marks are required to become eligible for NUST NET test. Every year thousands of students apply for NUST NET, all candidates should work very hard to get admission in NUST.

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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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