NUST NET 1 SAMPLE MATHEMATICS QUESTIONS

National University of Sciences and Technology NUST is one of the top rated engineering universities of Pakistan and also very well known around the world. Due to quality of education and facilities provided to students, NUST fee structure is a bit high as compared to other universities but they also provide many scholarships to their students including need based scholarship. NUST also provide a vast range of Undergraduate Programs for applicants other than engineering. Eligibility criteria to apply for NUST is only 60% in FSc. Competition is very tough at NUST, so applicants must be fully prepared if they want to secure their admission.

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Topic:
Functions and Limits

Question:
If f(x,y) = 3x + 2y and g(x,y) = x2 – y2 for all real numbers of x and y, then f(g(1,2)3) = ?

Options:

  • -8
  • -3
  • 9
  • 6

Correct Option:
-3

Explanation:
F(g(1,2)3) = 3(1-4) + 2(3) = -3

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:

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

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