10 REASONS WHY YOU SHOULD PREPARE FROM PAKPREP.COM

Pakprep.com is well furnished with all material which is supportive for students to prepare for leading engineering and medical college entry tests like NUST, GKI, UET, UHS MCAT, Sindh MCAT, ETEA, PIEAS, NED, ECAT etc. Pakprep.com contains more than 15000 solved MCQ’s along with explanation prepared by experienced teachers. We have more than 500 successful students from last year who got admission in different universities after preparing from Pakprep.com. We also provide facility of past papers to our students. We have past papers of many big universities which helps students to understand structure of entry test and difficulty of MCQ’s. Students can also take MOCK test from our website which are prepared and marked according to different universities standards. Smart analytics will help students to identify their weak areas and keep a separate log of all their mistakes. To start your preparation today with Pakprep.com please CLICK HERE. Functions & 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 -3

EXPLANATION:

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

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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 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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INDUCTION & BINOMIAL THEOREM

QUESTION:

Which member of the binomial expansion of (2x3 + x-1)10 contains x6?

OPTIONS:

• 6th
• 7th
• 8th
• 9th 7th

EXPLANATION: SAMPLE PHYSICS QUESTIONS

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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 3/5

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

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SEQUENCES & SERIES

QUESTION:

If mth term of an A.P is n and nth term is m, then the (m + n)th term is?

OPTIONS:

• 0
• 1
• -1
• 2 0

EXPLANATION:

a + (m – 1)d = n and a + (n – 1)d = m;

Subtracting we get (m – n) d = (n – m) or d = -1;

Subtracting the value we get a + (m – 1) – 1 = n or a = n + m – 1;

Tm + n = a + (m + n – 1) d = m + n – 1 + (m + n – 1) (-1) = 0

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QUESTION:

For what value of  m the given equation would have equal root?

(m + 1)X2 + 2(m + 3)X + m + 8 = 0

OPTIONS:

• 1/2
• 1/3
• -1/3
• 2/3 1/3

EXPLANATION: SAMPLE PHYSICS QUESTIONS

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MATRICES & DETERMINANTS

QUESTION:  OPTIONS:

• 0
• 1
• 100
• -100 0

EXPLANATION: SAMPLE PHYSICS QUESTIONS

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Sets & Functions

QUESTION:

The set of fourth roots of unity are closed with respect to?

OPTIONS:

• Division
• Subtraction
• None of the above Division

EXPLANATION:

Set = {1,-1,i,-i}

Addition: 1 + i is not part of the set;

Subtraction: 1 – i is not part of the set;

Any division operation in the set results in an element which is part of the set. E.g. 1/i = i/i2 = -i. Hence it is closed w.r.t division;

Remember that set of fourth roots of unit are closed w.r.t multiplication and division.

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10 Reasons Why You Should Prepare for 2016 Entry Tests Through Pakprep.com

Many students have asked us the advantage of www.Pakprep.com over conventional entry test preparation methods for engineering and medical colleges in Pakistan. Pakprep.com is the online entry test preparation system for leading engineering and medical college entry tests like NUST, GKI, UET, UHS MCAT, Sindh MCAT, ETEA, PIEAS, NED, ECAT etc. It is a professionally developed online system. It is not just a mere database of 15,000+ solved MCQs (although that in itself is a great feat.) Here are the 10 reasons why you should use Pakprep.com for entry test preparation for year 2016. Register today for a free trial at www.Pakprep.com