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NUST MERIT LIST & DEPARTMENT SELECTION


PROBABILITY TEST-1



Q. 1 The letters of the word “MISSISSIPPI” are scrambled and then arranged in some order. What is the probability that the four “I’s” are consecutive in the resulting arrangement?
a) 4/65
b) 3/55
c) 4/165
d) 8/65


Q. 2 Adie is rolled once find the probability of getting a number > 4.?
a) 1/2
b) 3/5
c) 2/3
d) 1/3


Q. 3 A coin is tossed twice, what is the probability of getting at least one head?
a) 3/4
b) 1/4
c) 1/3
d) 1/2


Q. 4 If three coins tossed simultaneously, what is the probability of obtaining two heads and one tail?
a) 4/5
b) 1/4
c) 3/8
d) 1/8


Q. 5 Two dice are rolled simultaneously. What is the probability that a double of any kind is obtained?
a) 1/6
b) 1/9
c) 1/4
d) 5/36


Q. 6 A card is drawn from an ordinary deck of playing cards what is the probability that it is a black queen?
a) 1/13
b) 1/26
c) 3/8
d) 3/13


Q. 7 In a shop 10 out of 100 products are defective. If 4 of the products are selected at random, what is the probability that it is not defected?
a) 4/5
b) 0.88
c) 0.65
d) 1/8


Q. 8 If three books are picked from a shelf containing 3 Novels, 4 books on poems, and a dictionary what is the probability that the dictionary is selected?
a) 9/28
b) 4/7
c) 3/8
d) 1/8


Q. 9 if 4 pairs of shoes are in a closet and 2 shoes are selected at random, what is the probability that they will be for the same foot?
a) 3/7
b) 1/4
c) 1/7
d) 3/8


Q. 10 Of 12 eggs on a refrigerator, 2 are bad, from these 4 eggs are chosen at random, what is the probability that exactly one egg is bad?
a) 1/66
b) 1/4
c) 14/33
d) 16/33


IST 1st MERIT LIST 2014

Below are the closing merit list in the First Selection List of IST 2014

IST 1st Merit List 2014
Aerospace Engineering 84.1%
Electrical Engineering 82.1%
Mechanical Engineering 82.8%
Material Engineering 81.1%
Space Science 80%

ECAT 2012 MATH



Note:-please write the answer in comment box.It will help us a lot in finding answer of these questions.

1) There are 30 students in a class.22 study Math,16 study Physics and 2 study neither MATH nor Physics.The number of student who study both Math and Phy is??
a) 12
b) 5
c) 10
d) 8


2) The integral 22 (lny+y2+msiny)dy equals??
a) 15
b) 20
c) 0
d) 25


3) Function f(x)=sinx/x has a maximum value of:
a) 1 as x → 0
b) 1 as x → ∏
c) infinity at x=0
d) infinity at x= ∏


4) Area under the curve f(x)=x2+x+1 between x=1 and x=3
a) 44/3
b) 22/3
c) 44/5
d) 22/5


5) Function f(x)=3x-7 is defined as x ∈ R & g(x)=12(x-2)-1 is also defined as x ∈ R except x=2.The value(s)of x for which fg(x)=0 is (are):
a) +10
b) -5
c) +10 or -5
d) -10 or +5


6) The set of values of x for which (x-6)2 >x are:
a) x<4 or x>9
b) x<4 or x>-9
c) x<9 or x>4
d) x<-9or x>-4


7) The function y=3x-x3 for x ≥ 0 has a min.value at:
a) (1,2)
b) (2,1)
c) (3,4)
d) (2,2)


8) Solve 2x-3/9-x =32/4x/2
a) 5/8
b) -5/8
c) 8/5
d) -8/5


9) AOB is a sector of a circle whose centre is O and radius 5cm.If the perimeter of the sector is 14cm,then the value of the angle AOB 9in radian) is:
a) 0.6 radian
b) 0.8 radian
c) 0.5 radian
d) 1.0 radian


10) The slope(gradient) of the curve y=x3-3x2-9x+11 is 15 when x coordinates are
a) +2,-2
b) 3,4
c) -2,+4
d) +5,-5


11) If √ (a+b √ 3) =13(4+ √ 3)-1 then the value of integers a and b are
a) -19 and +8
b) +19 and -8
c) -19 and -8
d) +19 and +8


12) The derivative of function e5-2x? (same in 2013 paper)
a) -2e5-2x
b) e2x
c) e5
d) e5-2x


13)The solution of 125x = 25(5x) and 7x ÷ 49y =1:
a) (2/5,4/5)
b) (4/5,2/5)
c) (2/5,-4/5)
d) (-2/5,4/5)


14) The solution of log4y+log2y=9 is
a) 6
b) 40
c) 50
d) 64


ECAT 2013 CHEMISTRY



Note:-Please write the answer in comment box.it will help us a lot in finding answer of these questions.


1) When Borax Is Hydrolized Then Caustic Soda And Boric Acid Is Produced Then The Solution Is
a) Neutral
b) Acidic
c) Alkaline
d) Basic


2) In Exothermic Reaction If Temp Is Increased Then Reaction Moves
a) Backward
b) Forward
c) No change
d) None


3) Nylon Is Which Type Of Polyme
a) Condensation
b) Addition
c) Both
d) None


4) How Many Maximum Amino Groups In Amino Acid?
a) 1
b) 2
c) 3
d) 4


5) Lithium and sodium both belongs to same group but Lithium differs in properties remarkably because
a) Lithium is lighter than sodium
b) large charge to size ratio
c) Li slowly react with water
d) All


6) The repeating unit is(-ch2-ch2-)n the molecular mass of repeating unit is
a) 6300
b) 63000
c) 5800
d) None


7) which has no Hydrogen bonding
a) Alcohol
b) Water
c) Ethane
d) Acetic Acid


8) which one is not true about hydrocarbons
a) They are aromatic compound
b) They have high C-H ratio
c) They are ring compound
d) All have odour


9) hydroocarbon containing triple bond are
a) Alkene
b) Aromatic
c) Alkane
d) Alkyne


10) Suring the preparation of Na electrolysis of sodium salt CaCl2 Is added to
a) To increase the temperature
b) To decrease the temperature
c) No effect
d) None


11) Oxidation state of cl in NaCl and NaOCl is
a) -1,+1
b) 2,-1
c) -1,2
d) None


12) which of following does not have haxagonal structure
a) Zn
b) Zn Oxide
c) Graphite
d) Gold


13) Phenol is
a) Similar to alcohol
b) Contains one OH
c) It is aromatic containing benzene ring
d) Both b & c


14) Zn can be converted into Cu by
a) Neutron
b) &#913 particles
c) &#914 particles
d) None


15) How to obtain bio gas?
a) It is not a gas
b) Obtained from cattle waste
c) Obtained from underwater reservoir
d) None


16) Which one is covalent giant molecule?
a) Diamond
b) Sugar
c) Ice
d) None


17) What is oxidation state of Sulphur in Na2SO4?
a) 2
b) 5
c) 4
d) None


18) Free Cl forms is??
a) Lithosphere
b) Troposphere
c) Biosphere
d) Stratosphere




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