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 Page 1


 
  
NTSE STAGE – I (DELHI STATE) 
05 – A (2019 – 20)  
 (For Class – X) 
SCHOLASTIC APTITUDE TEST 
 
HINTS & SOLUTIONS 
 
101. 2 
101. P
i
 = 0 
 P
f
 = 18 × 6 + 12 V 
 P
i
 = P
f
 
 V = ?9 m/s 
 ? ?
2 1
K.E. 12 9 6 81 486 J
2
? ? ? ? ? ? 
 
102. 4 
102. Slope of v – t graph gives acceleration and acceleration is constant from time t = 0 to t = T. 
After t = T, velocity is constant. 
 
103. 1 
103. u = ? ?   v = ?40 cm 
 
1 1 1
v u f
? ? 
 
1 1
40 f
?
?
 
 P = ?(2)5 D 
 
104. 2 
104. Convection is caused by gravity pulling heavier elements in a gas or liquid down. 
 
105. 3 
105. V
o
 = 4 m/s 
 V
I
 = ?4 m/s 
 V
Io
 = V
I
 – V
o
  
 = ? 4 – 4 = ? 8 m/s 
 
106. 1 
106. 
eq
V
I
R
? 
 
6
2
2 R
?
?
 
 R = 1 ? 
 
107. 4 
107.  t = 0 t = 10 t = 20 
S
2 
S
1 u = 0 
 
 ? ?
2
1 1
1
S a 10 S 50a
2
? ? ? 
 ? ?
2
1 2 2
1
S S a 20 S 150a
2
? ? ? ? 
 
2 1
S 3S ? 
Page 2


 
  
NTSE STAGE – I (DELHI STATE) 
05 – A (2019 – 20)  
 (For Class – X) 
SCHOLASTIC APTITUDE TEST 
 
HINTS & SOLUTIONS 
 
101. 2 
101. P
i
 = 0 
 P
f
 = 18 × 6 + 12 V 
 P
i
 = P
f
 
 V = ?9 m/s 
 ? ?
2 1
K.E. 12 9 6 81 486 J
2
? ? ? ? ? ? 
 
102. 4 
102. Slope of v – t graph gives acceleration and acceleration is constant from time t = 0 to t = T. 
After t = T, velocity is constant. 
 
103. 1 
103. u = ? ?   v = ?40 cm 
 
1 1 1
v u f
? ? 
 
1 1
40 f
?
?
 
 P = ?(2)5 D 
 
104. 2 
104. Convection is caused by gravity pulling heavier elements in a gas or liquid down. 
 
105. 3 
105. V
o
 = 4 m/s 
 V
I
 = ?4 m/s 
 V
Io
 = V
I
 – V
o
  
 = ? 4 – 4 = ? 8 m/s 
 
106. 1 
106. 
eq
V
I
R
? 
 
6
2
2 R
?
?
 
 R = 1 ? 
 
107. 4 
107.  t = 0 t = 10 t = 20 
S
2 
S
1 u = 0 
 
 ? ?
2
1 1
1
S a 10 S 50a
2
? ? ? 
 ? ?
2
1 2 2
1
S S a 20 S 150a
2
? ? ? ? 
 
2 1
S 3S ? 
 
  
108. 1 
108. 
4
g G dR
3
? ? 
 
1 1
2 2
g r
g r
? 
 
109. 2 
109. 
v
f 15 cm m 2
u
?? ?? ? 
 v 2u ? ? 
 
1 1 1
v u f
? ? 
 
1 1 1
2u u 15
? ?
? ?
 
 u = ?7.5 cm 
 
110. 1 
110. ? ? ? ?
2 1
gsin 2
4 2
? ?
?
 …(i) 
 ? ?
2
1
gsin t
2
? ? ? …(ii) 
 
2
t
4
4
? 
 t = 4 sec. 
 
111. 1 
111. 
2
V
P
R
? 
 
r r r r r 
 
  
2
V
10
4r
?     
2
1
V
P
r
? 
 P
1
 = 40 W 
 
112. 4 
112. F = qVB sin ?  
 If V is parallel to B ? = 0° 
 F = 0 
 
113. 2 
113. 
5 1
I A
50 10
? ? 
 
100R
5 I
100 R
? ?
?
? ?
?
? ?
 
 R = 100 ? 
 
114 1, 2 & 4 
114. Epsom salt (MgSO
4
.7H
2
O)  
 Green vitriol (FeSO
4
.7H
2
O) 
 White vitriol (ZnSO
4
.7H
2
O) 
Page 3


 
  
NTSE STAGE – I (DELHI STATE) 
05 – A (2019 – 20)  
 (For Class – X) 
SCHOLASTIC APTITUDE TEST 
 
HINTS & SOLUTIONS 
 
101. 2 
101. P
i
 = 0 
 P
f
 = 18 × 6 + 12 V 
 P
i
 = P
f
 
 V = ?9 m/s 
 ? ?
2 1
K.E. 12 9 6 81 486 J
2
? ? ? ? ? ? 
 
102. 4 
102. Slope of v – t graph gives acceleration and acceleration is constant from time t = 0 to t = T. 
After t = T, velocity is constant. 
 
103. 1 
103. u = ? ?   v = ?40 cm 
 
1 1 1
v u f
? ? 
 
1 1
40 f
?
?
 
 P = ?(2)5 D 
 
104. 2 
104. Convection is caused by gravity pulling heavier elements in a gas or liquid down. 
 
105. 3 
105. V
o
 = 4 m/s 
 V
I
 = ?4 m/s 
 V
Io
 = V
I
 – V
o
  
 = ? 4 – 4 = ? 8 m/s 
 
106. 1 
106. 
eq
V
I
R
? 
 
6
2
2 R
?
?
 
 R = 1 ? 
 
107. 4 
107.  t = 0 t = 10 t = 20 
S
2 
S
1 u = 0 
 
 ? ?
2
1 1
1
S a 10 S 50a
2
? ? ? 
 ? ?
2
1 2 2
1
S S a 20 S 150a
2
? ? ? ? 
 
2 1
S 3S ? 
 
  
108. 1 
108. 
4
g G dR
3
? ? 
 
1 1
2 2
g r
g r
? 
 
109. 2 
109. 
v
f 15 cm m 2
u
?? ?? ? 
 v 2u ? ? 
 
1 1 1
v u f
? ? 
 
1 1 1
2u u 15
? ?
? ?
 
 u = ?7.5 cm 
 
110. 1 
110. ? ? ? ?
2 1
gsin 2
4 2
? ?
?
 …(i) 
 ? ?
2
1
gsin t
2
? ? ? …(ii) 
 
2
t
4
4
? 
 t = 4 sec. 
 
111. 1 
111. 
2
V
P
R
? 
 
r r r r r 
 
  
2
V
10
4r
?     
2
1
V
P
r
? 
 P
1
 = 40 W 
 
112. 4 
112. F = qVB sin ?  
 If V is parallel to B ? = 0° 
 F = 0 
 
113. 2 
113. 
5 1
I A
50 10
? ? 
 
100R
5 I
100 R
? ?
?
? ?
?
? ?
 
 R = 100 ? 
 
114 1, 2 & 4 
114. Epsom salt (MgSO
4
.7H
2
O)  
 Green vitriol (FeSO
4
.7H
2
O) 
 White vitriol (ZnSO
4
.7H
2
O) 
 
  
 
115. 1 
115. Element Zn & Sn are used for galvanization. 
 
116. 3 
116. 
4 4
A
M N
Zn CuSO ZnSO Cu ? ?? ? ? 
 
117. 4 
117. Hydrogen has highest calorific value. 
 
118. 1 
118. pH of acid rain is less than 5.6   
 
119. 2 
119. 
12 34 5 6
CH
3
  - C -  CH
2
 -  CH
2
 -  CH
2
 -  COOH 
O
 
5-Keto hexanoic acid 
 
120. 4 
120. ? ? ? ? ? ? ? ? ? ?
2 2 2
2NaCl aq 2H O l 2NaOH aq Cl g H g ? ?? ? ? ? 
 
121 1 
121. ? ?
42 4 2 4 42
2KMnO 3H SO K SO 2MnSO 3H O 5 O ? ? ? ? ? ? ? 
 
122 2 
122. 
H
H H
H
H H
15 Covalent bond
 
 
123 4 
123. No. of moles = 
1000 g
17.8 moles
56 g
? 
 1 mole contains N
A
 atom of Fe 
 So, 17.8 mole contain 
 17.8 ? 6.022 ? 10
23
 = 1.075 ? 10
25
 atoms 
 
124 1 
124. Alkali metal oxide are basic in nature. 
 
125. 1 
125. The pH value of solution will be 7 to 9. 
 
126. 1 
126. No. of valence electron will remain same for any group element. 
 
127. 3 
127. Oxidation-reduction reactions takes place during break down of molecules in the respiration 
in our body. Oxidation of glucose and reduction of oxygen. 
 
Page 4


 
  
NTSE STAGE – I (DELHI STATE) 
05 – A (2019 – 20)  
 (For Class – X) 
SCHOLASTIC APTITUDE TEST 
 
HINTS & SOLUTIONS 
 
101. 2 
101. P
i
 = 0 
 P
f
 = 18 × 6 + 12 V 
 P
i
 = P
f
 
 V = ?9 m/s 
 ? ?
2 1
K.E. 12 9 6 81 486 J
2
? ? ? ? ? ? 
 
102. 4 
102. Slope of v – t graph gives acceleration and acceleration is constant from time t = 0 to t = T. 
After t = T, velocity is constant. 
 
103. 1 
103. u = ? ?   v = ?40 cm 
 
1 1 1
v u f
? ? 
 
1 1
40 f
?
?
 
 P = ?(2)5 D 
 
104. 2 
104. Convection is caused by gravity pulling heavier elements in a gas or liquid down. 
 
105. 3 
105. V
o
 = 4 m/s 
 V
I
 = ?4 m/s 
 V
Io
 = V
I
 – V
o
  
 = ? 4 – 4 = ? 8 m/s 
 
106. 1 
106. 
eq
V
I
R
? 
 
6
2
2 R
?
?
 
 R = 1 ? 
 
107. 4 
107.  t = 0 t = 10 t = 20 
S
2 
S
1 u = 0 
 
 ? ?
2
1 1
1
S a 10 S 50a
2
? ? ? 
 ? ?
2
1 2 2
1
S S a 20 S 150a
2
? ? ? ? 
 
2 1
S 3S ? 
 
  
108. 1 
108. 
4
g G dR
3
? ? 
 
1 1
2 2
g r
g r
? 
 
109. 2 
109. 
v
f 15 cm m 2
u
?? ?? ? 
 v 2u ? ? 
 
1 1 1
v u f
? ? 
 
1 1 1
2u u 15
? ?
? ?
 
 u = ?7.5 cm 
 
110. 1 
110. ? ? ? ?
2 1
gsin 2
4 2
? ?
?
 …(i) 
 ? ?
2
1
gsin t
2
? ? ? …(ii) 
 
2
t
4
4
? 
 t = 4 sec. 
 
111. 1 
111. 
2
V
P
R
? 
 
r r r r r 
 
  
2
V
10
4r
?     
2
1
V
P
r
? 
 P
1
 = 40 W 
 
112. 4 
112. F = qVB sin ?  
 If V is parallel to B ? = 0° 
 F = 0 
 
113. 2 
113. 
5 1
I A
50 10
? ? 
 
100R
5 I
100 R
? ?
?
? ?
?
? ?
 
 R = 100 ? 
 
114 1, 2 & 4 
114. Epsom salt (MgSO
4
.7H
2
O)  
 Green vitriol (FeSO
4
.7H
2
O) 
 White vitriol (ZnSO
4
.7H
2
O) 
 
  
 
115. 1 
115. Element Zn & Sn are used for galvanization. 
 
116. 3 
116. 
4 4
A
M N
Zn CuSO ZnSO Cu ? ?? ? ? 
 
117. 4 
117. Hydrogen has highest calorific value. 
 
118. 1 
118. pH of acid rain is less than 5.6   
 
119. 2 
119. 
12 34 5 6
CH
3
  - C -  CH
2
 -  CH
2
 -  CH
2
 -  COOH 
O
 
5-Keto hexanoic acid 
 
120. 4 
120. ? ? ? ? ? ? ? ? ? ?
2 2 2
2NaCl aq 2H O l 2NaOH aq Cl g H g ? ?? ? ? ? 
 
121 1 
121. ? ?
42 4 2 4 42
2KMnO 3H SO K SO 2MnSO 3H O 5 O ? ? ? ? ? ? ? 
 
122 2 
122. 
H
H H
H
H H
15 Covalent bond
 
 
123 4 
123. No. of moles = 
1000 g
17.8 moles
56 g
? 
 1 mole contains N
A
 atom of Fe 
 So, 17.8 mole contain 
 17.8 ? 6.022 ? 10
23
 = 1.075 ? 10
25
 atoms 
 
124 1 
124. Alkali metal oxide are basic in nature. 
 
125. 1 
125. The pH value of solution will be 7 to 9. 
 
126. 1 
126. No. of valence electron will remain same for any group element. 
 
127. 3 
127. Oxidation-reduction reactions takes place during break down of molecules in the respiration 
in our body. Oxidation of glucose and reduction of oxygen. 
 
 
  
128. 4 
128. Lactic acid is produced when pyruvate is broken down in absence of oxygen in muscle cell. 
 
129. 1 
129. Separation of oxygenated deoxygenated blood allows a highly efficient supply of oxygen to 
the body, also useful in animals that have high energy needs such as birds and mammals 
which constantly use energy to maintain their body temperature. 
 
130. 2 
130. Root pressure is effective way transporting water in xylem during night. 
 
131 4 
131. A Growth hormone 
 B Growth hormone releasing factor 
 C Insulin 
 D Thyroxine 
 
132 1 
132. Wrinkled seed = rr 
 Heterozygous tall plant = Tt 
 rrTt             X         rrTt 
 
 
   rT                        rt 
rTrT rTrt 
rtrt rTrt 
rT 
rt 
 
 rTrT – Homozygous wrinkled seed Homozygous tall 
 rTrt – Homozygous wrinkled heterozygous tall 
 rtrt – Homozygous wrinkled homozygous dwarf 
 100% Homozygous wrinkled 
 75% plants will be Tall and have wrinkled seed and 25% will be dwarf with wrinkled seed. 
 
133 1 
133. Two similar pea plants are growing in two different islands separated by vast ocean. The 
phenomenon of geographical isolation will not be seen as the plants get self pollinated. 
 
134 3 
134. DDT is non-biodegradable when it enters in food chain it gets accumulated in each trophic 
level. This phenomenon is called Biomagnification. 
 
135. 2 
135. Presence of coliform bacteria is an indicator of pollution level in water 
 
136. 2 
136. Leaves of tendu are the source of income of large number of people of India. These leaves 
are used to make bidis. 
 
137. 4 
137. Maximum number of trophic levels supported in any ecosystem is four. 
 
138. 4 
138. Correct sequence of reflex arc is 
 Receptor ? Sensory Neuron ? Relay Neuron ? Motor Neuron ? Effector organ  
 
Page 5


 
  
NTSE STAGE – I (DELHI STATE) 
05 – A (2019 – 20)  
 (For Class – X) 
SCHOLASTIC APTITUDE TEST 
 
HINTS & SOLUTIONS 
 
101. 2 
101. P
i
 = 0 
 P
f
 = 18 × 6 + 12 V 
 P
i
 = P
f
 
 V = ?9 m/s 
 ? ?
2 1
K.E. 12 9 6 81 486 J
2
? ? ? ? ? ? 
 
102. 4 
102. Slope of v – t graph gives acceleration and acceleration is constant from time t = 0 to t = T. 
After t = T, velocity is constant. 
 
103. 1 
103. u = ? ?   v = ?40 cm 
 
1 1 1
v u f
? ? 
 
1 1
40 f
?
?
 
 P = ?(2)5 D 
 
104. 2 
104. Convection is caused by gravity pulling heavier elements in a gas or liquid down. 
 
105. 3 
105. V
o
 = 4 m/s 
 V
I
 = ?4 m/s 
 V
Io
 = V
I
 – V
o
  
 = ? 4 – 4 = ? 8 m/s 
 
106. 1 
106. 
eq
V
I
R
? 
 
6
2
2 R
?
?
 
 R = 1 ? 
 
107. 4 
107.  t = 0 t = 10 t = 20 
S
2 
S
1 u = 0 
 
 ? ?
2
1 1
1
S a 10 S 50a
2
? ? ? 
 ? ?
2
1 2 2
1
S S a 20 S 150a
2
? ? ? ? 
 
2 1
S 3S ? 
 
  
108. 1 
108. 
4
g G dR
3
? ? 
 
1 1
2 2
g r
g r
? 
 
109. 2 
109. 
v
f 15 cm m 2
u
?? ?? ? 
 v 2u ? ? 
 
1 1 1
v u f
? ? 
 
1 1 1
2u u 15
? ?
? ?
 
 u = ?7.5 cm 
 
110. 1 
110. ? ? ? ?
2 1
gsin 2
4 2
? ?
?
 …(i) 
 ? ?
2
1
gsin t
2
? ? ? …(ii) 
 
2
t
4
4
? 
 t = 4 sec. 
 
111. 1 
111. 
2
V
P
R
? 
 
r r r r r 
 
  
2
V
10
4r
?     
2
1
V
P
r
? 
 P
1
 = 40 W 
 
112. 4 
112. F = qVB sin ?  
 If V is parallel to B ? = 0° 
 F = 0 
 
113. 2 
113. 
5 1
I A
50 10
? ? 
 
100R
5 I
100 R
? ?
?
? ?
?
? ?
 
 R = 100 ? 
 
114 1, 2 & 4 
114. Epsom salt (MgSO
4
.7H
2
O)  
 Green vitriol (FeSO
4
.7H
2
O) 
 White vitriol (ZnSO
4
.7H
2
O) 
 
  
 
115. 1 
115. Element Zn & Sn are used for galvanization. 
 
116. 3 
116. 
4 4
A
M N
Zn CuSO ZnSO Cu ? ?? ? ? 
 
117. 4 
117. Hydrogen has highest calorific value. 
 
118. 1 
118. pH of acid rain is less than 5.6   
 
119. 2 
119. 
12 34 5 6
CH
3
  - C -  CH
2
 -  CH
2
 -  CH
2
 -  COOH 
O
 
5-Keto hexanoic acid 
 
120. 4 
120. ? ? ? ? ? ? ? ? ? ?
2 2 2
2NaCl aq 2H O l 2NaOH aq Cl g H g ? ?? ? ? ? 
 
121 1 
121. ? ?
42 4 2 4 42
2KMnO 3H SO K SO 2MnSO 3H O 5 O ? ? ? ? ? ? ? 
 
122 2 
122. 
H
H H
H
H H
15 Covalent bond
 
 
123 4 
123. No. of moles = 
1000 g
17.8 moles
56 g
? 
 1 mole contains N
A
 atom of Fe 
 So, 17.8 mole contain 
 17.8 ? 6.022 ? 10
23
 = 1.075 ? 10
25
 atoms 
 
124 1 
124. Alkali metal oxide are basic in nature. 
 
125. 1 
125. The pH value of solution will be 7 to 9. 
 
126. 1 
126. No. of valence electron will remain same for any group element. 
 
127. 3 
127. Oxidation-reduction reactions takes place during break down of molecules in the respiration 
in our body. Oxidation of glucose and reduction of oxygen. 
 
 
  
128. 4 
128. Lactic acid is produced when pyruvate is broken down in absence of oxygen in muscle cell. 
 
129. 1 
129. Separation of oxygenated deoxygenated blood allows a highly efficient supply of oxygen to 
the body, also useful in animals that have high energy needs such as birds and mammals 
which constantly use energy to maintain their body temperature. 
 
130. 2 
130. Root pressure is effective way transporting water in xylem during night. 
 
131 4 
131. A Growth hormone 
 B Growth hormone releasing factor 
 C Insulin 
 D Thyroxine 
 
132 1 
132. Wrinkled seed = rr 
 Heterozygous tall plant = Tt 
 rrTt             X         rrTt 
 
 
   rT                        rt 
rTrT rTrt 
rtrt rTrt 
rT 
rt 
 
 rTrT – Homozygous wrinkled seed Homozygous tall 
 rTrt – Homozygous wrinkled heterozygous tall 
 rtrt – Homozygous wrinkled homozygous dwarf 
 100% Homozygous wrinkled 
 75% plants will be Tall and have wrinkled seed and 25% will be dwarf with wrinkled seed. 
 
133 1 
133. Two similar pea plants are growing in two different islands separated by vast ocean. The 
phenomenon of geographical isolation will not be seen as the plants get self pollinated. 
 
134 3 
134. DDT is non-biodegradable when it enters in food chain it gets accumulated in each trophic 
level. This phenomenon is called Biomagnification. 
 
135. 2 
135. Presence of coliform bacteria is an indicator of pollution level in water 
 
136. 2 
136. Leaves of tendu are the source of income of large number of people of India. These leaves 
are used to make bidis. 
 
137. 4 
137. Maximum number of trophic levels supported in any ecosystem is four. 
 
138. 4 
138. Correct sequence of reflex arc is 
 Receptor ? Sensory Neuron ? Relay Neuron ? Motor Neuron ? Effector organ  
 
 
  
139. 1 
139. Tricuspid valve is present in right atrium and right ventricle 
 
140. 2 
140. BCG vaccine provide protection against TB. 
 
141. 1 
141. Extend BR and drawn DP BR ? on 
 extended part.  
 Extend DS and draw BQ DS ? on 
extended part then DPBQ is rectangle 
having sides 8 m and 16 m 
 Diagonal of rectangle 8 5 ?  
 If x is side of square then 
2 2 2
2x 320 x 160m ? ? ?  
 
 
D C 
A B 
10 
6 
8 
S 
Q 
8 
x 
P 
R 
6 
10 
 
 
142. 4 
142. 
? ? ? ? ? ?
3 3 3
x x x x
24 4 2 42 6 ?? ?? ? ? 
 
? ? ? ? ? ?
3 3 3
x x x x
24 4 2 6 42 0 ? ? ? ? ? ? ? ? 
 Now 
? ? ? ? ? ?
x x x x
2 4 42 6 42 0 ? ? ? ? ? ? ? 
 
? ? ? ? ? ?
3 3 3
x x x x
24 42 6 42 ? ? ? ? ? ? ? 
 
? ? ? ? ? ?
x x x x
32 4 42 6 42 0 ? ? ? ? ? ? 
 Now  
x
2 4 0 x 2 ? ? ? ? 
 
x
1
4 2 0 x
2
??? ? 
 
? ? ? ?
x x x x
6 42 0 23 22 0 ??? ? ? ? ? 
 
x
2 2 0 ? ? ? or 
x
2 3 0 ? ? 
 
x
2 2 ? ? or 
x
2 3 ? ? (Not possible)  
 x 1 ? ? 
 So sum of all real values of  
 
1 7
x 2 1 3.5
2 2
? ? ? ? ? 
 
143. 4 
143. Let 
x
2019 y ? then given question reduces to 
1
y 3
y
? ? 
 
3
3
1
y 18
y
? ? ? and 
2
2
1
y 7
y
? ? 
 Now 
6
6x 6x 6
x x
1
y
2019 2019 y
1
2019 2019
y
y
?
?
?
?
?
?
?
 
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