Entrance Test For Biotechnology Page 4
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239.
A
b eaker
i s
f illed
t o
t he
b rim
w ith
w ater
a nd
w eighs
9 50
g rams.
A
p ure
g old
b ar
i s
d ropped
i n
t he
b eaker
u pon
w hich
5 0
m l
w ater
s pills
o ut
o f
t he
b eaker
a nd
t he
b eaker
n ow
w eighs
1 .865
K g.
W hat
i s
t he
d ensity
o f
g old?
a) 19.3
b) 18.3
c) 17.3
d) 16.3
10.
I n
a
t riangle
A BC,
B=π/2
a nd
C=π/4.
L et
D
d ivides
B C
i nternally
i n
t he
r atio
1 :3,
t hen
s in
BAD
i s
e qual
t o-‐
s in
CAD
a) 1/√6
b) 1/3
c) 1/√3
d) √2/3
11.
T he
a rea
o f
t he
e quilateral
t riangle,
i n
w hich
t hree
c oins
o f
r adius
1 cm
a re
p laced,
a s
s hown
i n
t he
f igure,
i s-‐
a) (6+4√3)
c m
2
b) (4√3-‐6)
c m
2
c) (7+4√3)
c m
2
d) 4√3
c m
2
12.
T en
d ifferent
a lphabets
a re
g iven.
W ords
w ith
f ive
a lphabets
a re
f ormed
f rom
t hese.
T hen,
t he
n umber
o f
w ords
w hich
h ave
a t
l east
o ne
a lphabet
r epeated,
i s-‐
a) 69760
b) 30240
c) 99748
d) D.39520
13.
T wo
e vents
A
a nd
B
h ave
p robabilities
0 .25
a nd
0 .50
r espectively.
T he
p robability
t hat
b oth
A
a nd
B
o ccur
s imultaneously
i s
0 .14.
T hen
t he
p robability
t hat
n either
A
n or
B
o ccurs
i s-‐
a) 0.11
b) 0.25
c) 0.39
d) 0.86
14.
T he
v alue
o f
Y
i n
t he
e quation
5 6X
+
8 Y
+
1 6=0
i s:
a) 7X+2
b) 4.5X-‐2
c) 2X-‐7
d) -‐7X-‐2
15.
A ll
a ngles
i nside
a n
o ctagon
w ill
a dd
u p
t o
a) 1000
o
b) 1080
o
c) 1260
o
d) 1440
o
4
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