Daily Practice Problem Sheet #3
SUBJECT:Mathematics(Domain)
Er. Anirudh Krishana
Q.1) (a) x 2 3x + 2
(b) x 2 4x + 6
Q.2) f x =
*Q.3) f x =
x3
(x+3) x 2 4
1 1 1 x 2 !
Q.4) y = f x 10x + 10y = 10.
15x
Q.5) f x =
7x 7
!
Q.6) f x =
1
log 1/2 (x 2 7x+13)
.
*Q

Homogeneous catalysis concerns processes in which a catalyst is in solution
with at least one of the reactants. An example of homogeneous catalysis is the
industrial Oxo process for manufacturing normal isobutylaldehyde. It has
propylene, carbon monoxide,

Test Booklet Code - R
.AIEEE 2011.
Questions and Solutions
PAPER - 1 : MATHEMATICS, CHEMISTRY & PHYSICS
PART- A : MATHEMATICS
1.
Consider 5 independent Bernoullis trials each with probability of success p. If the probability of
31
at least one failure is

Daily Practice Problems Sheet # 5
Er. Anirudh Krishna
Subject:Mathematics
TOPICS Covered: ,
Q.1) y =
1
x x
!
*Q.2) y = cos1
+ log x1 x !
12 x
3
Q.3)a f x = tan1 x 2 18x + a > 0 x R,(a)(81, )
(b)[81, )
Q.4) f x = sin1
(a)(, )
sin 2 x+sin x+1
log sin 1 x

QUESTIONS & SOLUTIONS OF AIEEE 2011
Date : 01-05-2011
Duration : 3 Hours
Max. Marks : 360
IMPORTANT INSTRUCTIONS
1.
Immediately fill the particulars on this page of the Test Booklet with Blue / Black Ball Point Pen. Use of
pencil is strictly prohibited.
2

SUBJECT:-()
DPP:-1
Er. Anirudh Krishana
1) A = a, b. c. d B = p, q, r, s A B (a)R 1 = cfw_ a, p , b, r , (c, s)
(b)R 2 = cfw_ q, b , c, s , d, r
(c)R 3 = cfw_ a, p , a, q , d, p , c, r , b, r
(d)R 4 = cfw_ a, p , q, a , b, s , s, b
2) R (1 , 2 ) 1 , 2

Daily Practice Problems Sheet #6
Er. Anirudh Krishna
Subject:Mathematics(Range)
Q.1) (a) f x = x5
(b) f x = x 2
1
(c) f x = 1x
x
Q.2) f x = 1+x 2 !
x
Q.3) f x = 2cos 3x !
1
Q.4) (a)f x = 9 x 2
(b)f x = 2x
2+x
*Q.5) f x + 2y, x 2y = xy f x, y x 2 y 2
(a)
8

SUBJECT:MATHEMATICS(Function)
DPP:-2
Er. Anirudh Krishana
Q.1) A = 2, 1,0,1,2 f: A Z
f x = x 2 2x 3 (a) f
(b)6,-3,5
Q.2) (a) x 1 2
(b) x 3 < 5
(d) x 1 5, x 2
(e)
2
x4
(c)1 x 1 3
> 1, x 4
(f) x 1 + x 2 4
Q.3)
2
x
< 3 , !
Q.4) f x ,
f x = x 1 x 2 (x 3)
Q.

vowed- solemnly promise to do some special thing
solemnly-in serious manner, with the ture soul
pursuit- the action of following or persuing something
elusive-difficult to find or catch or achieve
hasten-be quick to do something
haul-pull or drag
novice-a

What is Adsorption?
Adsorption is the phenomenon of accumulation of large number of molecular species at the surface of liquid or solid phase
in comparison to the bulk.
How Adsorption occurs?
The process of adsorption arises due to presence of unbalanced