Page 1
TAMILNADU NTSE STAGE 1 (2015-16)
(SAT)
101. The median of 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 is 63 then the value of x is ______________
(A) 124 (B) 29.5 (C) 62 (D) 64
102.
12
F F 1 ?? and
n n 1 n 2
F F F
??
?? then the value of
5
F is __________
(A) 3 (B) 2 (C) 8 (D) 5
103. The lengths of the diagonals of a rhombus are 24 cm and 10 cm, then the side of the rhombus is_______
cm
(A) 26 (B) 13 (C) 169 (D) 240
104. If a polynomial p(x) is divided by ? ? mx n , ? then the remainder is ____________
(A)
m
P
n
??
??
??
(B)
m
P
n
? ??
??
??
(C)
n
P
m
??
??
??
(D)
n
P
m
? ??
??
??
105. If
3
m
32 2
,
500 5
? then the value of m is ______________.
(A) 2 (B) 3 (C) 4 (D) 0
106. On dividing
32
x 3x x 2 ? ? ? by a polynomial ? ? g x , the quotient and remainder were ? ? x2 ? and ? ? 2x 4 ??
respectively, then ? ? gx is _____________
(A)
2
x x 1 ?? (B)
2
x x 1 ?? (C)
2
x x 1 ?? (D)
2
x x 1 ??
107. If
7
cot
8
?? then the value of
? ? ? ?
? ? ? ?
1 sin 1 sin
1 cos 1 cos
? ? ? ?
? ? ? ?
is ______________.
(A)
64
49
(B)
8
7
(C)
7
8
(D)
49
64
108. If
9 4 12
yx xy
?? where x > 0, y > 0 then 3 x 2 y ?? ___________.
(A) 5 (B) 1 (C) 2 (D) 0
109. In ABC, ? if DE||BC, AD 2cm, DB 3cm, DE 4 cm, ??? then the value of BC is _______________
(A) 9 (B) 25 (C) 10 (D) 6
110. If
2
2
1
x 23,x 0
x
? ? ? then
1
x
x
? is ________________
(A) 2 (B) 3 (C) 4 (D) 5
111. The probability that a leap year will have 53 Fridays or 53 Saturday is _______________
(A)
2
7
(B)
1
7
(C)
4
7
(D)
3
7
112. The rational form of 0.24 is _____________
(A)
24
100
(B)
8
33
(C)
24
1000
(D)
0.24
100
113. A fraction becomes
1
3
when one is subtracted from the numerator and it becomes
1
4
when 8 is added to
the denominator, then the fraction is ________________
(A)
5
12
(B)
2
11
(C)
9
11
(D)
1
7
Page 2
TAMILNADU NTSE STAGE 1 (2015-16)
(SAT)
101. The median of 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 is 63 then the value of x is ______________
(A) 124 (B) 29.5 (C) 62 (D) 64
102.
12
F F 1 ?? and
n n 1 n 2
F F F
??
?? then the value of
5
F is __________
(A) 3 (B) 2 (C) 8 (D) 5
103. The lengths of the diagonals of a rhombus are 24 cm and 10 cm, then the side of the rhombus is_______
cm
(A) 26 (B) 13 (C) 169 (D) 240
104. If a polynomial p(x) is divided by ? ? mx n , ? then the remainder is ____________
(A)
m
P
n
??
??
??
(B)
m
P
n
? ??
??
??
(C)
n
P
m
??
??
??
(D)
n
P
m
? ??
??
??
105. If
3
m
32 2
,
500 5
? then the value of m is ______________.
(A) 2 (B) 3 (C) 4 (D) 0
106. On dividing
32
x 3x x 2 ? ? ? by a polynomial ? ? g x , the quotient and remainder were ? ? x2 ? and ? ? 2x 4 ??
respectively, then ? ? gx is _____________
(A)
2
x x 1 ?? (B)
2
x x 1 ?? (C)
2
x x 1 ?? (D)
2
x x 1 ??
107. If
7
cot
8
?? then the value of
? ? ? ?
? ? ? ?
1 sin 1 sin
1 cos 1 cos
? ? ? ?
? ? ? ?
is ______________.
(A)
64
49
(B)
8
7
(C)
7
8
(D)
49
64
108. If
9 4 12
yx xy
?? where x > 0, y > 0 then 3 x 2 y ?? ___________.
(A) 5 (B) 1 (C) 2 (D) 0
109. In ABC, ? if DE||BC, AD 2cm, DB 3cm, DE 4 cm, ??? then the value of BC is _______________
(A) 9 (B) 25 (C) 10 (D) 6
110. If
2
2
1
x 23,x 0
x
? ? ? then
1
x
x
? is ________________
(A) 2 (B) 3 (C) 4 (D) 5
111. The probability that a leap year will have 53 Fridays or 53 Saturday is _______________
(A)
2
7
(B)
1
7
(C)
4
7
(D)
3
7
112. The rational form of 0.24 is _____________
(A)
24
100
(B)
8
33
(C)
24
1000
(D)
0.24
100
113. A fraction becomes
1
3
when one is subtracted from the numerator and it becomes
1
4
when 8 is added to
the denominator, then the fraction is ________________
(A)
5
12
(B)
2
11
(C)
9
11
(D)
1
7
114. If
xy
PQ
x y x y
??
??
then the value of
22
1 2Q
P Q P Q
?
??
is ______________
(A)
xy
xy
?
?
(B) 0 (C) 1 (D)
xy
xy
?
?
115. A die is thrown 200 times and the following outcomes are noted, with their frequencies:
(A) 0.28 (B) 0.22 (C) 0.15 (D) 0.21
116. If sin cos , ? ? ? then ? is
(A)
0
30 (B)
0
45 (C)
0
60 (D)
0
90
117. If one of the zeros of polynomial
2 2 2
a x x b ?? is 1 ? then:
(A)
22
a b 0 ?? (B)
22
a b 1 0 ? ? ? (C)
22
a b 1 0 ? ? ? (D)
22
a b 1 ? ? ?
118. ? ?
2
2
a b c ?? is :
(A) ? ? ? ? a b c a b c ? ? ? ? (B) ? ? ? ? a b c a b c ? ? ? ?
(C) ? ? ? ? a b c a b c ? ? ? ? (D) ? ? ? ? a b c a b c ? ? ? ?
119. The GCD of
? ?
3
x1 ? and
? ?
4
x1 ? is
(A)
3
x1 ? (B)
2
x1 ? (C)
2
x1 ? (D) x1 ?
120. The LCM of
32
a b ,abc is
(A) c (B)
43
a b c (C) ab (D)
32
a b c
121. A man walks along the footpath of a circular garden. During his motion along the circular path he makes
several rounds. His net displacement will be zero whenever his diatance traveled will be in multiples of :
(A) its radius (B) its diameter
(C) circumference of circular path (D) area of circle
122. The under given position (VS) time graph describes which of the given
options:
(A) from t = 0 sec to t = 5 sec the object accelerates and then it decelerates.
(B) from t = 0 sec to t = 5 sec the object decelerates and then it accelerates.
(C) from t = 0 sec to t = 5 sec it travels with uniform velocity and then travels
with non – uniform velocity.
(D) from t = 0 sec to t = 5 sec it travels with non – uniform velocity and then
travels with uniform velocity
123. A teacher assigned a job of coverting position (VS) time graph into velocity
(VS) time graph. All the four Meera, Meena, Trisha and Akshaya plotted
the graphs as under. The person to give the correct answer is :
Outcome 1 2 3 4 5 6
Frequency 56 22 30 42 32 18
Page 3
TAMILNADU NTSE STAGE 1 (2015-16)
(SAT)
101. The median of 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 is 63 then the value of x is ______________
(A) 124 (B) 29.5 (C) 62 (D) 64
102.
12
F F 1 ?? and
n n 1 n 2
F F F
??
?? then the value of
5
F is __________
(A) 3 (B) 2 (C) 8 (D) 5
103. The lengths of the diagonals of a rhombus are 24 cm and 10 cm, then the side of the rhombus is_______
cm
(A) 26 (B) 13 (C) 169 (D) 240
104. If a polynomial p(x) is divided by ? ? mx n , ? then the remainder is ____________
(A)
m
P
n
??
??
??
(B)
m
P
n
? ??
??
??
(C)
n
P
m
??
??
??
(D)
n
P
m
? ??
??
??
105. If
3
m
32 2
,
500 5
? then the value of m is ______________.
(A) 2 (B) 3 (C) 4 (D) 0
106. On dividing
32
x 3x x 2 ? ? ? by a polynomial ? ? g x , the quotient and remainder were ? ? x2 ? and ? ? 2x 4 ??
respectively, then ? ? gx is _____________
(A)
2
x x 1 ?? (B)
2
x x 1 ?? (C)
2
x x 1 ?? (D)
2
x x 1 ??
107. If
7
cot
8
?? then the value of
? ? ? ?
? ? ? ?
1 sin 1 sin
1 cos 1 cos
? ? ? ?
? ? ? ?
is ______________.
(A)
64
49
(B)
8
7
(C)
7
8
(D)
49
64
108. If
9 4 12
yx xy
?? where x > 0, y > 0 then 3 x 2 y ?? ___________.
(A) 5 (B) 1 (C) 2 (D) 0
109. In ABC, ? if DE||BC, AD 2cm, DB 3cm, DE 4 cm, ??? then the value of BC is _______________
(A) 9 (B) 25 (C) 10 (D) 6
110. If
2
2
1
x 23,x 0
x
? ? ? then
1
x
x
? is ________________
(A) 2 (B) 3 (C) 4 (D) 5
111. The probability that a leap year will have 53 Fridays or 53 Saturday is _______________
(A)
2
7
(B)
1
7
(C)
4
7
(D)
3
7
112. The rational form of 0.24 is _____________
(A)
24
100
(B)
8
33
(C)
24
1000
(D)
0.24
100
113. A fraction becomes
1
3
when one is subtracted from the numerator and it becomes
1
4
when 8 is added to
the denominator, then the fraction is ________________
(A)
5
12
(B)
2
11
(C)
9
11
(D)
1
7
114. If
xy
PQ
x y x y
??
??
then the value of
22
1 2Q
P Q P Q
?
??
is ______________
(A)
xy
xy
?
?
(B) 0 (C) 1 (D)
xy
xy
?
?
115. A die is thrown 200 times and the following outcomes are noted, with their frequencies:
(A) 0.28 (B) 0.22 (C) 0.15 (D) 0.21
116. If sin cos , ? ? ? then ? is
(A)
0
30 (B)
0
45 (C)
0
60 (D)
0
90
117. If one of the zeros of polynomial
2 2 2
a x x b ?? is 1 ? then:
(A)
22
a b 0 ?? (B)
22
a b 1 0 ? ? ? (C)
22
a b 1 0 ? ? ? (D)
22
a b 1 ? ? ?
118. ? ?
2
2
a b c ?? is :
(A) ? ? ? ? a b c a b c ? ? ? ? (B) ? ? ? ? a b c a b c ? ? ? ?
(C) ? ? ? ? a b c a b c ? ? ? ? (D) ? ? ? ? a b c a b c ? ? ? ?
119. The GCD of
? ?
3
x1 ? and
? ?
4
x1 ? is
(A)
3
x1 ? (B)
2
x1 ? (C)
2
x1 ? (D) x1 ?
120. The LCM of
32
a b ,abc is
(A) c (B)
43
a b c (C) ab (D)
32
a b c
121. A man walks along the footpath of a circular garden. During his motion along the circular path he makes
several rounds. His net displacement will be zero whenever his diatance traveled will be in multiples of :
(A) its radius (B) its diameter
(C) circumference of circular path (D) area of circle
122. The under given position (VS) time graph describes which of the given
options:
(A) from t = 0 sec to t = 5 sec the object accelerates and then it decelerates.
(B) from t = 0 sec to t = 5 sec the object decelerates and then it accelerates.
(C) from t = 0 sec to t = 5 sec it travels with uniform velocity and then travels
with non – uniform velocity.
(D) from t = 0 sec to t = 5 sec it travels with non – uniform velocity and then
travels with uniform velocity
123. A teacher assigned a job of coverting position (VS) time graph into velocity
(VS) time graph. All the four Meera, Meena, Trisha and Akshaya plotted
the graphs as under. The person to give the correct answer is :
Outcome 1 2 3 4 5 6
Frequency 56 22 30 42 32 18
(A) (b) (C) (D)
124. A hovering helicopter drops food packets from an altitude of 200 m towards passenger of a stranded boat
affected with flood. Each packet is of mass 500 gm. It is packed so well that it can withstand a momentum
upto 60 Ns. Find out which of the following is correct:
(A) The packet will break since the momentum of packet on reaching the surface is more than 60 Ns.
(B) The packet will not break since its momentum on reaching the surface is less than 40 Ns.
(C) the packet will break since its momentum on reaching the surface is 50 Ns.
(D) The packet will not break since its momentum on reaching the surface is 50 Ns.
125. Kerosene of mass 100 gm is mixed with 100 gm of water. One of the under given options that well
describes the reason for Kerosene to float on water is :
(A) Mass of displaced water is less than the mass of Kerosene of equal volume
(B) Mass of Kerosene is more than the mass of equal volume of water
(C) Mass of Kerosene is less than the mass of displaced water
(D) Mass of Kerosene is equal to mass of displaced water
126. A car of mass one metric ton accelerate from rest at the rate of 2
2
m/ s from t = 0 sec to t = 10 sec. There
after it travels with a uniform velocity. The measure of net retarding force acting on the car after 10 sec is :
(A) 4000 N (B) 2000 N (C) 0 N (D) 2000 N ?
127. For no change in the mass of the earth, if its radius is halved the weight of an object of mass 10 kg will be:
(A) 40 kg wt. (B) 10 kg wt. (C) 80 kg wt. (D) 20 kg wt.
128. The number of electrons that travel through the given resistor 20 ? in
the circuit in one second is : (Given that 1 coulomb
18
6.25 10 ??
electron)
(A)
18
18.75 10 ? (B)
19
18.75 10 ?
(C)
18
1.875 10 ? (D)
19
1.875 10 ?
129. The resistance of the given resistor that is calculated from the graph is :
(A) 1 ? (B) 10 ?
(C) 100 ? (D) 1000 ?
130. The voltage across 8 ? resistance is
(A) 42 V (B) 32 V
(C) 22 V (D) 20 V
131. A force acting on an object of mass 500 gm changes its speed from 200 cm/s to 0.2 m/s. The change in
momentum is:
(A) increase by 0.90 Ns (B) decrease by 0.90 Ns
Page 4
TAMILNADU NTSE STAGE 1 (2015-16)
(SAT)
101. The median of 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 is 63 then the value of x is ______________
(A) 124 (B) 29.5 (C) 62 (D) 64
102.
12
F F 1 ?? and
n n 1 n 2
F F F
??
?? then the value of
5
F is __________
(A) 3 (B) 2 (C) 8 (D) 5
103. The lengths of the diagonals of a rhombus are 24 cm and 10 cm, then the side of the rhombus is_______
cm
(A) 26 (B) 13 (C) 169 (D) 240
104. If a polynomial p(x) is divided by ? ? mx n , ? then the remainder is ____________
(A)
m
P
n
??
??
??
(B)
m
P
n
? ??
??
??
(C)
n
P
m
??
??
??
(D)
n
P
m
? ??
??
??
105. If
3
m
32 2
,
500 5
? then the value of m is ______________.
(A) 2 (B) 3 (C) 4 (D) 0
106. On dividing
32
x 3x x 2 ? ? ? by a polynomial ? ? g x , the quotient and remainder were ? ? x2 ? and ? ? 2x 4 ??
respectively, then ? ? gx is _____________
(A)
2
x x 1 ?? (B)
2
x x 1 ?? (C)
2
x x 1 ?? (D)
2
x x 1 ??
107. If
7
cot
8
?? then the value of
? ? ? ?
? ? ? ?
1 sin 1 sin
1 cos 1 cos
? ? ? ?
? ? ? ?
is ______________.
(A)
64
49
(B)
8
7
(C)
7
8
(D)
49
64
108. If
9 4 12
yx xy
?? where x > 0, y > 0 then 3 x 2 y ?? ___________.
(A) 5 (B) 1 (C) 2 (D) 0
109. In ABC, ? if DE||BC, AD 2cm, DB 3cm, DE 4 cm, ??? then the value of BC is _______________
(A) 9 (B) 25 (C) 10 (D) 6
110. If
2
2
1
x 23,x 0
x
? ? ? then
1
x
x
? is ________________
(A) 2 (B) 3 (C) 4 (D) 5
111. The probability that a leap year will have 53 Fridays or 53 Saturday is _______________
(A)
2
7
(B)
1
7
(C)
4
7
(D)
3
7
112. The rational form of 0.24 is _____________
(A)
24
100
(B)
8
33
(C)
24
1000
(D)
0.24
100
113. A fraction becomes
1
3
when one is subtracted from the numerator and it becomes
1
4
when 8 is added to
the denominator, then the fraction is ________________
(A)
5
12
(B)
2
11
(C)
9
11
(D)
1
7
114. If
xy
PQ
x y x y
??
??
then the value of
22
1 2Q
P Q P Q
?
??
is ______________
(A)
xy
xy
?
?
(B) 0 (C) 1 (D)
xy
xy
?
?
115. A die is thrown 200 times and the following outcomes are noted, with their frequencies:
(A) 0.28 (B) 0.22 (C) 0.15 (D) 0.21
116. If sin cos , ? ? ? then ? is
(A)
0
30 (B)
0
45 (C)
0
60 (D)
0
90
117. If one of the zeros of polynomial
2 2 2
a x x b ?? is 1 ? then:
(A)
22
a b 0 ?? (B)
22
a b 1 0 ? ? ? (C)
22
a b 1 0 ? ? ? (D)
22
a b 1 ? ? ?
118. ? ?
2
2
a b c ?? is :
(A) ? ? ? ? a b c a b c ? ? ? ? (B) ? ? ? ? a b c a b c ? ? ? ?
(C) ? ? ? ? a b c a b c ? ? ? ? (D) ? ? ? ? a b c a b c ? ? ? ?
119. The GCD of
? ?
3
x1 ? and
? ?
4
x1 ? is
(A)
3
x1 ? (B)
2
x1 ? (C)
2
x1 ? (D) x1 ?
120. The LCM of
32
a b ,abc is
(A) c (B)
43
a b c (C) ab (D)
32
a b c
121. A man walks along the footpath of a circular garden. During his motion along the circular path he makes
several rounds. His net displacement will be zero whenever his diatance traveled will be in multiples of :
(A) its radius (B) its diameter
(C) circumference of circular path (D) area of circle
122. The under given position (VS) time graph describes which of the given
options:
(A) from t = 0 sec to t = 5 sec the object accelerates and then it decelerates.
(B) from t = 0 sec to t = 5 sec the object decelerates and then it accelerates.
(C) from t = 0 sec to t = 5 sec it travels with uniform velocity and then travels
with non – uniform velocity.
(D) from t = 0 sec to t = 5 sec it travels with non – uniform velocity and then
travels with uniform velocity
123. A teacher assigned a job of coverting position (VS) time graph into velocity
(VS) time graph. All the four Meera, Meena, Trisha and Akshaya plotted
the graphs as under. The person to give the correct answer is :
Outcome 1 2 3 4 5 6
Frequency 56 22 30 42 32 18
(A) (b) (C) (D)
124. A hovering helicopter drops food packets from an altitude of 200 m towards passenger of a stranded boat
affected with flood. Each packet is of mass 500 gm. It is packed so well that it can withstand a momentum
upto 60 Ns. Find out which of the following is correct:
(A) The packet will break since the momentum of packet on reaching the surface is more than 60 Ns.
(B) The packet will not break since its momentum on reaching the surface is less than 40 Ns.
(C) the packet will break since its momentum on reaching the surface is 50 Ns.
(D) The packet will not break since its momentum on reaching the surface is 50 Ns.
125. Kerosene of mass 100 gm is mixed with 100 gm of water. One of the under given options that well
describes the reason for Kerosene to float on water is :
(A) Mass of displaced water is less than the mass of Kerosene of equal volume
(B) Mass of Kerosene is more than the mass of equal volume of water
(C) Mass of Kerosene is less than the mass of displaced water
(D) Mass of Kerosene is equal to mass of displaced water
126. A car of mass one metric ton accelerate from rest at the rate of 2
2
m/ s from t = 0 sec to t = 10 sec. There
after it travels with a uniform velocity. The measure of net retarding force acting on the car after 10 sec is :
(A) 4000 N (B) 2000 N (C) 0 N (D) 2000 N ?
127. For no change in the mass of the earth, if its radius is halved the weight of an object of mass 10 kg will be:
(A) 40 kg wt. (B) 10 kg wt. (C) 80 kg wt. (D) 20 kg wt.
128. The number of electrons that travel through the given resistor 20 ? in
the circuit in one second is : (Given that 1 coulomb
18
6.25 10 ??
electron)
(A)
18
18.75 10 ? (B)
19
18.75 10 ?
(C)
18
1.875 10 ? (D)
19
1.875 10 ?
129. The resistance of the given resistor that is calculated from the graph is :
(A) 1 ? (B) 10 ?
(C) 100 ? (D) 1000 ?
130. The voltage across 8 ? resistance is
(A) 42 V (B) 32 V
(C) 22 V (D) 20 V
131. A force acting on an object of mass 500 gm changes its speed from 200 cm/s to 0.2 m/s. The change in
momentum is:
(A) increase by 0.90 Ns (B) decrease by 0.90 Ns
(C) increase by 90 g cm/s (D) decrease by 90 g cm/s
132. An object of mass 10 kg is dropped from a Buliding of height 40 m. Givent hebest description of
relationship between gravitational Potential energy and kinetic energy, after 2 sec.
? ?
2
g 10 m/ s ?
(A) Potential energy > Kinetic energy (B) Potential energy < Kinetic energy
(C) Potential energy ? Kinetic energy (D) Potential energy = Kinetic energy
133. Best relationship between Momentum and Kinetic energy posseses by an object in terms of mass:
(A) momentum = ? ?
1/ 2
2m Kinetic energy ? (B) ? ?
1/2
momentum = 2 Kinetic energy ?
(C) ? ?
1/2
Kinetic energy = 2 momentum ? (D) ? ?
1/2
Kinetic energy = 2 momentum ?
134. ? ?
3 2 2
2
2Pb NO 2PbO 4NO O
?
? ? ? ? ? ? ?
In the above reaction:
(A) Reddish brown coloured oxygen gas is evolved
(B) Reddish brown coloured nitrogen dioxide gas is evolved
(C) Reddish brown coloured PbO gas is evolved
(D) No reddish brown gas is evolved
135. In which of the following solutions will platinum dissolve?
(A)
3
Conc HNO and Conc HCl in the ratio 3:1 (B)
2 4 3
Conc H SO and Conc HNO in the ratio 3: 4
(C)
24
Conc HCl and Conc H SO in the ratio 1: 3 (D)
3
Conc HCl and Conc HNO in the ratio 3:1
136. M (2, 8 , 2) combines with ? ? N 2,8,7 to form a compound. The formula of the compound so formed is :
(A) MN (B)
2
MN (C)
23
MN (D)
2
MN
137. The formula of phosphate of X is
4
XPO . The formula of it’s sulphate and chloride would be respectively:
(A) ? ?
2 4 3
3
X SO ,XCl (B)
42
XSO ,XCl (C) ? ?
42
2
X SO ,X Cl (D)
24
X SO ,XCl
138. 162 g of aluminium contains ________ moles of aluminium. (atomic mass of Al 27 u ? )
(A) 6 (B) 3 (C) 12 (D) 24
139. Which of the following is a suitable method to separate two miscible liquids whose difference in boiling point
is 36 K?
(A) Evaporation (B) Distillation (C) Fractional distillation (D) Sublimation
140. Gases can be liquefied:
(A) by increasing temperature and pressure
(B) by increasing temperature and decreasing pressure
(C) by decreasing temperature and increasing pressure
(D) by decreasing pressure and temperature
141. Identify the elements which are very less reactive:
(1) X (2) (2) Y (2, 8, 1) (3) Z (2, 6) (4) W (2, 8, 8)
(A) 1 and 2 (B) 2 and 3 (C) 1 and 4 (D) 2 and 4
142. 6.4 g of oxygen will contain _________ number of oxygen molecules.
(A)
23
6.023 10 ? (B)
22
6.023 10 ? (C)
23
1.2046 10 ? (D)
22
1.2046 10 ?
143. An element with atomic no.7 will show chemical properties similar to element with atomic numbers:
(A) 10 (B) 9 (C) 15 (D) 17
144. The compound with higher molecular mass is :
[Atomic mass of Ca – 40 u
C – 12 u
O – 16 u
H – 1 u
Cl – 1 u
Page 5
TAMILNADU NTSE STAGE 1 (2015-16)
(SAT)
101. The median of 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 is 63 then the value of x is ______________
(A) 124 (B) 29.5 (C) 62 (D) 64
102.
12
F F 1 ?? and
n n 1 n 2
F F F
??
?? then the value of
5
F is __________
(A) 3 (B) 2 (C) 8 (D) 5
103. The lengths of the diagonals of a rhombus are 24 cm and 10 cm, then the side of the rhombus is_______
cm
(A) 26 (B) 13 (C) 169 (D) 240
104. If a polynomial p(x) is divided by ? ? mx n , ? then the remainder is ____________
(A)
m
P
n
??
??
??
(B)
m
P
n
? ??
??
??
(C)
n
P
m
??
??
??
(D)
n
P
m
? ??
??
??
105. If
3
m
32 2
,
500 5
? then the value of m is ______________.
(A) 2 (B) 3 (C) 4 (D) 0
106. On dividing
32
x 3x x 2 ? ? ? by a polynomial ? ? g x , the quotient and remainder were ? ? x2 ? and ? ? 2x 4 ??
respectively, then ? ? gx is _____________
(A)
2
x x 1 ?? (B)
2
x x 1 ?? (C)
2
x x 1 ?? (D)
2
x x 1 ??
107. If
7
cot
8
?? then the value of
? ? ? ?
? ? ? ?
1 sin 1 sin
1 cos 1 cos
? ? ? ?
? ? ? ?
is ______________.
(A)
64
49
(B)
8
7
(C)
7
8
(D)
49
64
108. If
9 4 12
yx xy
?? where x > 0, y > 0 then 3 x 2 y ?? ___________.
(A) 5 (B) 1 (C) 2 (D) 0
109. In ABC, ? if DE||BC, AD 2cm, DB 3cm, DE 4 cm, ??? then the value of BC is _______________
(A) 9 (B) 25 (C) 10 (D) 6
110. If
2
2
1
x 23,x 0
x
? ? ? then
1
x
x
? is ________________
(A) 2 (B) 3 (C) 4 (D) 5
111. The probability that a leap year will have 53 Fridays or 53 Saturday is _______________
(A)
2
7
(B)
1
7
(C)
4
7
(D)
3
7
112. The rational form of 0.24 is _____________
(A)
24
100
(B)
8
33
(C)
24
1000
(D)
0.24
100
113. A fraction becomes
1
3
when one is subtracted from the numerator and it becomes
1
4
when 8 is added to
the denominator, then the fraction is ________________
(A)
5
12
(B)
2
11
(C)
9
11
(D)
1
7
114. If
xy
PQ
x y x y
??
??
then the value of
22
1 2Q
P Q P Q
?
??
is ______________
(A)
xy
xy
?
?
(B) 0 (C) 1 (D)
xy
xy
?
?
115. A die is thrown 200 times and the following outcomes are noted, with their frequencies:
(A) 0.28 (B) 0.22 (C) 0.15 (D) 0.21
116. If sin cos , ? ? ? then ? is
(A)
0
30 (B)
0
45 (C)
0
60 (D)
0
90
117. If one of the zeros of polynomial
2 2 2
a x x b ?? is 1 ? then:
(A)
22
a b 0 ?? (B)
22
a b 1 0 ? ? ? (C)
22
a b 1 0 ? ? ? (D)
22
a b 1 ? ? ?
118. ? ?
2
2
a b c ?? is :
(A) ? ? ? ? a b c a b c ? ? ? ? (B) ? ? ? ? a b c a b c ? ? ? ?
(C) ? ? ? ? a b c a b c ? ? ? ? (D) ? ? ? ? a b c a b c ? ? ? ?
119. The GCD of
? ?
3
x1 ? and
? ?
4
x1 ? is
(A)
3
x1 ? (B)
2
x1 ? (C)
2
x1 ? (D) x1 ?
120. The LCM of
32
a b ,abc is
(A) c (B)
43
a b c (C) ab (D)
32
a b c
121. A man walks along the footpath of a circular garden. During his motion along the circular path he makes
several rounds. His net displacement will be zero whenever his diatance traveled will be in multiples of :
(A) its radius (B) its diameter
(C) circumference of circular path (D) area of circle
122. The under given position (VS) time graph describes which of the given
options:
(A) from t = 0 sec to t = 5 sec the object accelerates and then it decelerates.
(B) from t = 0 sec to t = 5 sec the object decelerates and then it accelerates.
(C) from t = 0 sec to t = 5 sec it travels with uniform velocity and then travels
with non – uniform velocity.
(D) from t = 0 sec to t = 5 sec it travels with non – uniform velocity and then
travels with uniform velocity
123. A teacher assigned a job of coverting position (VS) time graph into velocity
(VS) time graph. All the four Meera, Meena, Trisha and Akshaya plotted
the graphs as under. The person to give the correct answer is :
Outcome 1 2 3 4 5 6
Frequency 56 22 30 42 32 18
(A) (b) (C) (D)
124. A hovering helicopter drops food packets from an altitude of 200 m towards passenger of a stranded boat
affected with flood. Each packet is of mass 500 gm. It is packed so well that it can withstand a momentum
upto 60 Ns. Find out which of the following is correct:
(A) The packet will break since the momentum of packet on reaching the surface is more than 60 Ns.
(B) The packet will not break since its momentum on reaching the surface is less than 40 Ns.
(C) the packet will break since its momentum on reaching the surface is 50 Ns.
(D) The packet will not break since its momentum on reaching the surface is 50 Ns.
125. Kerosene of mass 100 gm is mixed with 100 gm of water. One of the under given options that well
describes the reason for Kerosene to float on water is :
(A) Mass of displaced water is less than the mass of Kerosene of equal volume
(B) Mass of Kerosene is more than the mass of equal volume of water
(C) Mass of Kerosene is less than the mass of displaced water
(D) Mass of Kerosene is equal to mass of displaced water
126. A car of mass one metric ton accelerate from rest at the rate of 2
2
m/ s from t = 0 sec to t = 10 sec. There
after it travels with a uniform velocity. The measure of net retarding force acting on the car after 10 sec is :
(A) 4000 N (B) 2000 N (C) 0 N (D) 2000 N ?
127. For no change in the mass of the earth, if its radius is halved the weight of an object of mass 10 kg will be:
(A) 40 kg wt. (B) 10 kg wt. (C) 80 kg wt. (D) 20 kg wt.
128. The number of electrons that travel through the given resistor 20 ? in
the circuit in one second is : (Given that 1 coulomb
18
6.25 10 ??
electron)
(A)
18
18.75 10 ? (B)
19
18.75 10 ?
(C)
18
1.875 10 ? (D)
19
1.875 10 ?
129. The resistance of the given resistor that is calculated from the graph is :
(A) 1 ? (B) 10 ?
(C) 100 ? (D) 1000 ?
130. The voltage across 8 ? resistance is
(A) 42 V (B) 32 V
(C) 22 V (D) 20 V
131. A force acting on an object of mass 500 gm changes its speed from 200 cm/s to 0.2 m/s. The change in
momentum is:
(A) increase by 0.90 Ns (B) decrease by 0.90 Ns
(C) increase by 90 g cm/s (D) decrease by 90 g cm/s
132. An object of mass 10 kg is dropped from a Buliding of height 40 m. Givent hebest description of
relationship between gravitational Potential energy and kinetic energy, after 2 sec.
? ?
2
g 10 m/ s ?
(A) Potential energy > Kinetic energy (B) Potential energy < Kinetic energy
(C) Potential energy ? Kinetic energy (D) Potential energy = Kinetic energy
133. Best relationship between Momentum and Kinetic energy posseses by an object in terms of mass:
(A) momentum = ? ?
1/ 2
2m Kinetic energy ? (B) ? ?
1/2
momentum = 2 Kinetic energy ?
(C) ? ?
1/2
Kinetic energy = 2 momentum ? (D) ? ?
1/2
Kinetic energy = 2 momentum ?
134. ? ?
3 2 2
2
2Pb NO 2PbO 4NO O
?
? ? ? ? ? ? ?
In the above reaction:
(A) Reddish brown coloured oxygen gas is evolved
(B) Reddish brown coloured nitrogen dioxide gas is evolved
(C) Reddish brown coloured PbO gas is evolved
(D) No reddish brown gas is evolved
135. In which of the following solutions will platinum dissolve?
(A)
3
Conc HNO and Conc HCl in the ratio 3:1 (B)
2 4 3
Conc H SO and Conc HNO in the ratio 3: 4
(C)
24
Conc HCl and Conc H SO in the ratio 1: 3 (D)
3
Conc HCl and Conc HNO in the ratio 3:1
136. M (2, 8 , 2) combines with ? ? N 2,8,7 to form a compound. The formula of the compound so formed is :
(A) MN (B)
2
MN (C)
23
MN (D)
2
MN
137. The formula of phosphate of X is
4
XPO . The formula of it’s sulphate and chloride would be respectively:
(A) ? ?
2 4 3
3
X SO ,XCl (B)
42
XSO ,XCl (C) ? ?
42
2
X SO ,X Cl (D)
24
X SO ,XCl
138. 162 g of aluminium contains ________ moles of aluminium. (atomic mass of Al 27 u ? )
(A) 6 (B) 3 (C) 12 (D) 24
139. Which of the following is a suitable method to separate two miscible liquids whose difference in boiling point
is 36 K?
(A) Evaporation (B) Distillation (C) Fractional distillation (D) Sublimation
140. Gases can be liquefied:
(A) by increasing temperature and pressure
(B) by increasing temperature and decreasing pressure
(C) by decreasing temperature and increasing pressure
(D) by decreasing pressure and temperature
141. Identify the elements which are very less reactive:
(1) X (2) (2) Y (2, 8, 1) (3) Z (2, 6) (4) W (2, 8, 8)
(A) 1 and 2 (B) 2 and 3 (C) 1 and 4 (D) 2 and 4
142. 6.4 g of oxygen will contain _________ number of oxygen molecules.
(A)
23
6.023 10 ? (B)
22
6.023 10 ? (C)
23
1.2046 10 ? (D)
22
1.2046 10 ?
143. An element with atomic no.7 will show chemical properties similar to element with atomic numbers:
(A) 10 (B) 9 (C) 15 (D) 17
144. The compound with higher molecular mass is :
[Atomic mass of Ca – 40 u
C – 12 u
O – 16 u
H – 1 u
Cl – 1 u
(A)
3
CaCO (B) CaO (C) ? ?
2
Ca OH (D)
2
CaCl
145. The acid solution with higher pH value is
(A) 0.1 M HCl acid (B) 0.1 M
24
H SO acid
(C) 0.05 M
3
HNO acid (D) 0.05 M
34
H PO acid
146. Which is correctly matched?
Element Electron distribution
(A) sulphur - 2, 8, 8
(C) Phosphorous - 2, 8, 6
(C) Aluminimum - 2, 8, 3
(D) Silicon - 2, 8, 5
147. The cyabobacteria that helps in fixing atmospheric nitrogen:
(A) Azolla (B) Anabaena (C) Rhizobium (D) Eudorina
148. The tissue that is responsible for secondary growth of plants:
(A) Cambium (B) Xylem (C) Phloem (D) Pericycle
149. The Nucleolus helps in the formation of:
(A) Lysosomes (B) Ribosomes (C) Peroxisomes (D) Centrosomes
150. Identify the nucleoside from the following:
(A) sugar + Phosphate (B) Nitrogenous bases + sugar
(C) Nitrogenous bases + Phosphate (D) Nitrogenous bases + sugar + Phosphate
151. One molecule of glucose on complete oxidation yields:
(A) 38 ATP (B) 36 ATP (C) 83 ATP (D) 35 ATP
152. Enzyme which cut the DNA at specific sites:
(A) DNA polymerase (B) DNA ligase
(C) rEstriction endonuclease (D) RNA polymerase
153. A fruit developed from a single ovary with a monocarpellary or multicarpellary, syncarpous gynoecium:
(A) Simple fruit (B) Aggregate fruit (C) Parthenocarpic fruit (D) Multiple fruit.
154. Choose the incorrect options:
(1) Amoeba - Pseudopodia
(2) Paramecium - body setae
(3) Euglena - petagium
(4) Star fish - tubefeet
(A) 1 and 2 (B) 2 and 3 (C) 3 and 4 (D) 1 and 4
155. The abundant animal protein:
(A) Colagen (B) Fibrinogen (C) Globulin (D) Albumin
156. The blood anticoagulant property that is present in the salivary glands of leeches:
(A) Virudin (B) Hirudin (C) Rubin (D) Trypsin
157. Diabetus insipidus is caused by less production of :
(A) ACTH (B) TSH (C) ADH (D) GH
158. Symptoms of
12
B deficiency:
(A) Nervous disorder (B) Dementia, dermatitis
(C) Destruction of RBC (D) Bleeding gums
159. Bone cells are known as:
(A) Chondrocytes (B) Osteocytes (C) Lymphocytes (D) Leucocytes
160. The four lobes of Mid Brain :
(A) Cerebral hemisphere (B) Corpora quadrigemina
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