NUST SAMPLE MATHEMATICS QUESTIONS

National University of Science and Technology also known as (NUST) is one of the top Engineering University of Pakistan. Students across the Pakistan desire to get admission in NUST Engineering and Business studies programs. All students have to appear in the NUST Entry test known as NET test in order to get admission in engineering, Business or other programs in NUST. NUST Entrance Test or NET is held three times a year. We recommend our students to apply in all three time and apply on the basis of best score.

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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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