NOTE:-
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 .
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.
------------------------------
Subject:Mathematics Exam Time 3 hours Full Marks 100
All questions are compulsory.
1. Abdul was sent to jail for murder. He has 7 wifes in his house.
Abdul distributed 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
balled 9.3 overs.
4. Mohammed has a Company named Al Allah Kidnapping & Murder Private
Limited. He has to threat 10 people per day over Telephone. 40% of the
people he threats are cinema stars in Mumbai, 30% are Businessman in
Delhi, 20% are Cricket Players in Madrass and 10% are shopkeepres in
Calcutta . IF ISD charges are rupaye 15, 25, 40, 50 per minute from
Mohammed's city Islamabad to Bombay, Delhi, Calcutta and Madrass respectively
and he gets a Telephone bill of 10,230 Rupaya in a month. Find out The No
of Cinema stars in Mumbai , threatend 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 the value of PI = 786
instead of 3.14....), if Paktunistaan is taken as a heptagone.
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, k1 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.
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