PAKISTANI MATH QUESTION PAPER

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

ii) Any student coming late after 10 minutes after the exam starts will beforced to join Al Qayda group .

iii) Ak 47's and Grenades are not allowed in the exam hall. Students maykeep their daggers, revolvers and pack of anthrax bombs only for selfdefense.

Math Exam Time : 3 hours

Maximum Marks : 100

All questions are compulsory.

1. Abdul was sent to jail for murder. He has 7 wives in his house. Abduldistributed money to his wives in such a proportion that the youngest andmost recent wife receives maximum and oldest wife gets minimum, and eachwife gets double of her former competitor. Abdul has 1700 Rupaye left inhis house. Abdul's oldest wife needs atleast 25 rupaye per month. Find outthe time when Abdul will have to break jail to come out and earn money sothat his wives do not starve.

2. Karim is a drug seller. Prices per gram of marijuana, hasis, haroine andLHD are 50, 60, 70, 80 Rupaye respectively. Karim offers a discount ofRupaye 20 for his buyers who buy more than 50 grams of drug. If Rahim, abuyer gets Rupaye 7 discount per gram, find out the grams of LHD he bought.

3. Imran tampers the ball thrice per over. He deforms the ball .02% of itsoriginal shape each time. Find the percentage deformation of the ball dueto tampering in a one day series match against India in which Imran bowled9.4 overs.

4. Mohammed has a Company named Al Allah Kidnapping & Murder PrivateLimited. He has to threat 10 people per day over Telephone. 40% of thepeople he threats are cinema stars in Mumbai, 30% are businessman in Delhi,ISD charges are Rupaye 15, 25, 40, 50 per minute from Mohammed\'s cityIslamabad to Bombay, Delhi, Calcutta and Madras respectively and he gets aTelephone bill of 10,230 Rupaya in a month, find out the number of cinemastars in Mumbai, threatened in that particular month.

5. A terrorist group has to provide one Ak 47, one Ak 49, one RocketLauncher, 50 Grenades and one pack of RDX to its Rugroots after training.One Ak 47 costs 100$; one Ak 49 costs 150 $, a Bazuka rocket Launcher costs50 $, a grenade is for 3 $ per piece, a pack of RDX Bomb attached withremote Control is 500 $. The terrorist group admits 2000 new people everyyear out of which 30 % are lost or shunted out while training. Find theamt. of Foreign Money Pakistan Govt. has to provide each year to run such agroup.

6. If stability of a democratic Govt. in Pakistan is given by the followingequationX exp3 + X exp2 -16 = i ;Find out X.

7. Probability of a Pakistani Prime Minister to be shot is 78 %.Probability of a Military General to be shot is 42%. Find the jointprobability of a Prime Minister to be shot who is also a Military General.

8) Find out geometrically the area of Paktunistaan using PI Theorem withOsama BIn Ladens Correction (That is taking the value of PI = 786, insteadof 3.14.....), if Paktunistaan is taken as a heptagon.

9) A \'GHAURI\' controlled missile tries to fly from Drass to Kargil which isnot 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 exactlyequal to the speed of the missile. The controller decides to steer straightto Kargil all the time during the flight. Will the missile ever reachKargil?What if the speed of the wind is k times the speed of the missile, where kis a positive number (can be greater or less than 1)? Try to sketch thetrajectory of the missile (with respect to the ground, of course) in eachof the three cases: k=1, k>1 and k<1.

10) Briefly discuss the Unsolved problem of "Bisection of a Triangle" witha Compass and an unmarked ruler if the triangle is named as KASHMIR