# ETEA SAMPLE MATHEMATICS QUESTIONS

ETEA stands for Educational Testing and Evaluation Agency, it is an educational entity established in 1998 by KPK government. In order to get admission in the public sector Medical Colleges of KPK, the students have to undergo KPK ETEA entrance test, which is a requirement. Hundreds and thousands of students take this test each year. The test is based on the courses of FSc and A levels including the subjects: Physics, Chemistry, Mathematics and English. ETEA is a highly competitive and challenging test based on the student’s previous knowledge of FSc or A levels.

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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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