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Math Exam Time 3 hours Full Marks 100

All questions are compulsory.

i) Students found copying will be shot on the spot.

ii)Any student coming late after 10 minutes after the exam starts will be

forced to join Al Qayda group or will be send to jehad in kashmir .

iii)Ak 47 -s and Grenades are not allowed in the exam hall. Students may

keep their daggers,Revolvers and pack of anthrax bombs only for self

defense.

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1. Abdul was sent to jail for murder .He has 7 wifes in his house.

Abduldistributed money to his wives in such a proportion that the youngest

and most recent wife receives maximum and oldest wife gets minimum, and

each wife gets double of her former competitor. Abdul has 1700 Rupaye left

in his house. Abdul's oldest wife needs atleast 25 rupaye per month. Find

out the time when Abdul will have to break Jail to come out and earn money

so that his wives do not starve.

2. Karim is a Drug seller. Prices per gram of Marihuana, hasis, haroine and

LHD s are 50, 60,70,80 Rupaye respectively. Karim offers a discount of

Rupaye 20 for his buyers who buys more than 50 grams of drug. If Rahim , a

buyer gets Rupaye 37 discount , find out the grams of LHD he bought.

3. Imran tampers the ball thrice per over. He deforms the ball .02% of its

original shape each time . Find the percentage deformation the ball due to

tampering in a one day series against India in which Imran bowled 9.3

overs.

4. Mohammed has a Company named Al Badr Kidnapping & Murder Private

Limited. He has to threat 10 people per day over Telephone. 40% of the

people he threats are cinema stars in lahore, 30% are Businessman in

karachi, 20% are Cricket Players in islamabad and 10% are shopkeepres in

peshawar . IF isd charges are rupaye 15, 25, 40, 50 per minute from

Mohammed's city Islamabad to karachi, lahore and peshawar respectively and

he gets a Telephone bill of 10,230 Rupaya in a month. Find out The No of

Cinema stars in Lahore , threatened in that particular month.

5. A terrorist group has to provide one Ak 47.one AK 49,one Rocket

Launcher, 50 Grenades and one pack of RDX to its Ron roots for

training .One AK 47 costs 100$; One Ak 49 costs 150 $ ,A Bazuka rocket

Launcher costs 250 $ , grenade is 3 $ each , a pack of Rdx Bomb attached

with remote Control is 500 $. The terrorist group admitts 2000 new people

every year out of which 30 % are court-martialed . Find the amt of Foreign

Money Pakistan Govt has to provide each year to run such a group.

6. If stabilty of democratic Govt. in pakistan is given by the following

equation X exp3 +X exp2 -16 = i ; Find out x.

7. Probaliblity of a Pakistani prime minister to be shot is 78 %.Probabilty

of a Military general to be shot is 80 % . FInd the joint probability of a

Prime minister to be shot who is also a Military general.

8) Find out geometrically the area of Paktunistaan using PI Theorem with

Osama BIn Ladens Correction (That is taking he value of PI = 786 instead of

3.14....), if Paktunistaan is taken as a heptagon.

9) A 'GHAURI' missile tries to fly from Drass to Kargil which is not too

far from Drass (say 100 miles) and is exactly to the East of Drass . The

wind is blowing from the South and the speed of the wind is exactly equal

to the speed of the airplane. (The speed of the airplane is measured with

respect to the air!) The pilot decides to steer straight to Kargil all the

time during the flight. Will the airplane ever reach Kargil ?

What if the speed of the wind is k times the speed of the airplane, where k

is a positive number (can be greater or less than 1)? Try to sketch the

trajectory of the airplane (with respect to the ground, of course) in each

of the three cases: k=1, k 1 and k<1.

10) Briefly discuss the Unsolved problem of "Bisection of a Trinagle" with

a Compass and an unmarked ruler if the triangle is named as KASHMIR