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CBSE Class 10  >  Class 10 Notes  >  NTSE  >  Uttar Pradesh: State Level Answer Key (SAT) - 2020-21

Uttar Pradesh: State Level Answer Key (SAT) - 2020-21

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 Page 1


 
 
 
 
 
 
     
     
    
UTTAR PRADESH NTSE STAGE 1 (2020-21)  
                       SAT ANSWER KEY  
 
 
Physics 
 
101. 4  102. 2  103. 3  104. 2 
105. 3  106. 4  107. 1  108. 3 
109. 2  110. 2  111. 3   
 
Chemistry 
  
112.  2  113.  1  114.  3  115.  2 
116.  2  117.  3  118.  4  119.  4 
120.  1  121.  4  122.  2  123.  2 
124.  3  125.  3  126.  4   
 
BIO 
 
127. 1  128. 2  129. 3  130. 4 
131. 1  132. 3  133. 2  134. 4 
135. 1  136. 2  137. 1  138. 2 
139. 2  140. 3 
  
Social Studies 
 
141. 4  142. 1  143. 3  144. 2 
145. 2  146. 2  147. 2  148. 3 
149. 4  150. 1  151. 3  152. 4 
153. 4  154. 2  155. 3  156. 2 
157. 4  158. 3  159. 1  160. 4 
161. 2  162. 3  163. 4  164. 1 
165. 3  166. 1  167. 1  168. 2 
169. 1  170. 2  171. 2  172. 2 
173. 3  174. 1  175. 1  176. 1 
177. 2  178. 2  179. 1  180. 3 
 
 
 
 
 
 
 
Page 2


 
 
 
 
 
 
     
     
    
UTTAR PRADESH NTSE STAGE 1 (2020-21)  
                       SAT ANSWER KEY  
 
 
Physics 
 
101. 4  102. 2  103. 3  104. 2 
105. 3  106. 4  107. 1  108. 3 
109. 2  110. 2  111. 3   
 
Chemistry 
  
112.  2  113.  1  114.  3  115.  2 
116.  2  117.  3  118.  4  119.  4 
120.  1  121.  4  122.  2  123.  2 
124.  3  125.  3  126.  4   
 
BIO 
 
127. 1  128. 2  129. 3  130. 4 
131. 1  132. 3  133. 2  134. 4 
135. 1  136. 2  137. 1  138. 2 
139. 2  140. 3 
  
Social Studies 
 
141. 4  142. 1  143. 3  144. 2 
145. 2  146. 2  147. 2  148. 3 
149. 4  150. 1  151. 3  152. 4 
153. 4  154. 2  155. 3  156. 2 
157. 4  158. 3  159. 1  160. 4 
161. 2  162. 3  163. 4  164. 1 
165. 3  166. 1  167. 1  168. 2 
169. 1  170. 2  171. 2  172. 2 
173. 3  174. 1  175. 1  176. 1 
177. 2  178. 2  179. 1  180. 3 
 
 
 
 
 
 
 
 
 
 
 
 
 
     
     
    
Mathematics 
 
181. 2 
Sol. ( ) x 0.7 0.7777....... i == 
 ( ) 10x 7.777......... ii = 
 (ii) – (i) 
 
9x 7
x 7 / 9
14
2x
9
2x 1.5
=
=
?=
=
   
 
182. 1 
Sol. 
x y z
a b,b c,c a = = = 
 
xy xyz 1
a c a a
xyz 1
= ? =
=
 
   
183. 1   
Sol. 
( ) ( )
( ) ( )
3 1 3 1
a b 3
3 1 3 1
--
=+
+-
 
 
3 1 2 3
a b 3
31
4 2 3
a b 3
2
+-
=+
-
-
=+
 
 
2 3 a b 3
a 2,b 1
- = +
= = -
 
  
184. 4  
Sol. 
a b b c c a 2a 2b 2c
2a 2b 2c 2a 2b 2c
xx
1
xx
+ + + + + + +
+ + + +
== 
 
185. 3   
Sol. 
1 x 1 x
7 7 50
+-
+= 
 
x
x
x
7
7.7 50
7
Let7 y
7
7y 50
y
+=
=
+=
 
Page 3


 
 
 
 
 
 
     
     
    
UTTAR PRADESH NTSE STAGE 1 (2020-21)  
                       SAT ANSWER KEY  
 
 
Physics 
 
101. 4  102. 2  103. 3  104. 2 
105. 3  106. 4  107. 1  108. 3 
109. 2  110. 2  111. 3   
 
Chemistry 
  
112.  2  113.  1  114.  3  115.  2 
116.  2  117.  3  118.  4  119.  4 
120.  1  121.  4  122.  2  123.  2 
124.  3  125.  3  126.  4   
 
BIO 
 
127. 1  128. 2  129. 3  130. 4 
131. 1  132. 3  133. 2  134. 4 
135. 1  136. 2  137. 1  138. 2 
139. 2  140. 3 
  
Social Studies 
 
141. 4  142. 1  143. 3  144. 2 
145. 2  146. 2  147. 2  148. 3 
149. 4  150. 1  151. 3  152. 4 
153. 4  154. 2  155. 3  156. 2 
157. 4  158. 3  159. 1  160. 4 
161. 2  162. 3  163. 4  164. 1 
165. 3  166. 1  167. 1  168. 2 
169. 1  170. 2  171. 2  172. 2 
173. 3  174. 1  175. 1  176. 1 
177. 2  178. 2  179. 1  180. 3 
 
 
 
 
 
 
 
 
 
 
 
 
 
     
     
    
Mathematics 
 
181. 2 
Sol. ( ) x 0.7 0.7777....... i == 
 ( ) 10x 7.777......... ii = 
 (ii) – (i) 
 
9x 7
x 7 / 9
14
2x
9
2x 1.5
=
=
?=
=
   
 
182. 1 
Sol. 
x y z
a b,b c,c a = = = 
 
xy xyz 1
a c a a
xyz 1
= ? =
=
 
   
183. 1   
Sol. 
( ) ( )
( ) ( )
3 1 3 1
a b 3
3 1 3 1
--
=+
+-
 
 
3 1 2 3
a b 3
31
4 2 3
a b 3
2
+-
=+
-
-
=+
 
 
2 3 a b 3
a 2,b 1
- = +
= = -
 
  
184. 4  
Sol. 
a b b c c a 2a 2b 2c
2a 2b 2c 2a 2b 2c
xx
1
xx
+ + + + + + +
+ + + +
== 
 
185. 3   
Sol. 
1 x 1 x
7 7 50
+-
+= 
 
x
x
x
7
7.7 50
7
Let7 y
7
7y 50
y
+=
=
+=
 
 
 
 
 
 
 
     
     
    
 ( ) ( )
2
2
2
x
x
7y 7 50y
7y 50y 7 0
7y 49y y 7 0
7y y 7 1 y 7 0
y 1/ 7,7
1
7 x 1
7
7 7 x 1
+=
- + =
- - + =
- - - =
=
? = ? = -
= ? =
 
 
 
 
186. 3   
Sol. Let the men salary Rs. 100  
After 10% reduction salary = Rs 90  
Amount increased Rs. 10 to bring it on original salary that is Rs 
100. 
Percentage increased = 
10 1
100 11 %
90 9
?= 
 
187. 3   
Sol. 
10 10 20
500 1.50 Rs.
100 100 100
? ? ? = 
 
188. 4 
Sol. C.P of pen (each) 
10
Rs.
11
= 
 S.P of pen (each) 
11
Rs.
10
= 
 So it is clean its profit  
 
11 10 21
profit Rs.
10 11 110
? = - = 
 
21
so now profit% = 100
110 10
10 11
??
??
?
??
??
?
??
??
 
 
21 11
100 21%
10 110
?
= ? =
?
 
 
189. 4   
Sol. 
1 1 1 1
x
3 4 3 4
??
+ = -
??
??
 
 
71
x x 7
12 12
= ? ? = 
 
 
 
Page 4


 
 
 
 
 
 
     
     
    
UTTAR PRADESH NTSE STAGE 1 (2020-21)  
                       SAT ANSWER KEY  
 
 
Physics 
 
101. 4  102. 2  103. 3  104. 2 
105. 3  106. 4  107. 1  108. 3 
109. 2  110. 2  111. 3   
 
Chemistry 
  
112.  2  113.  1  114.  3  115.  2 
116.  2  117.  3  118.  4  119.  4 
120.  1  121.  4  122.  2  123.  2 
124.  3  125.  3  126.  4   
 
BIO 
 
127. 1  128. 2  129. 3  130. 4 
131. 1  132. 3  133. 2  134. 4 
135. 1  136. 2  137. 1  138. 2 
139. 2  140. 3 
  
Social Studies 
 
141. 4  142. 1  143. 3  144. 2 
145. 2  146. 2  147. 2  148. 3 
149. 4  150. 1  151. 3  152. 4 
153. 4  154. 2  155. 3  156. 2 
157. 4  158. 3  159. 1  160. 4 
161. 2  162. 3  163. 4  164. 1 
165. 3  166. 1  167. 1  168. 2 
169. 1  170. 2  171. 2  172. 2 
173. 3  174. 1  175. 1  176. 1 
177. 2  178. 2  179. 1  180. 3 
 
 
 
 
 
 
 
 
 
 
 
 
 
     
     
    
Mathematics 
 
181. 2 
Sol. ( ) x 0.7 0.7777....... i == 
 ( ) 10x 7.777......... ii = 
 (ii) – (i) 
 
9x 7
x 7 / 9
14
2x
9
2x 1.5
=
=
?=
=
   
 
182. 1 
Sol. 
x y z
a b,b c,c a = = = 
 
xy xyz 1
a c a a
xyz 1
= ? =
=
 
   
183. 1   
Sol. 
( ) ( )
( ) ( )
3 1 3 1
a b 3
3 1 3 1
--
=+
+-
 
 
3 1 2 3
a b 3
31
4 2 3
a b 3
2
+-
=+
-
-
=+
 
 
2 3 a b 3
a 2,b 1
- = +
= = -
 
  
184. 4  
Sol. 
a b b c c a 2a 2b 2c
2a 2b 2c 2a 2b 2c
xx
1
xx
+ + + + + + +
+ + + +
== 
 
185. 3   
Sol. 
1 x 1 x
7 7 50
+-
+= 
 
x
x
x
7
7.7 50
7
Let7 y
7
7y 50
y
+=
=
+=
 
 
 
 
 
 
 
     
     
    
 ( ) ( )
2
2
2
x
x
7y 7 50y
7y 50y 7 0
7y 49y y 7 0
7y y 7 1 y 7 0
y 1/ 7,7
1
7 x 1
7
7 7 x 1
+=
- + =
- - + =
- - - =
=
? = ? = -
= ? =
 
 
 
 
186. 3   
Sol. Let the men salary Rs. 100  
After 10% reduction salary = Rs 90  
Amount increased Rs. 10 to bring it on original salary that is Rs 
100. 
Percentage increased = 
10 1
100 11 %
90 9
?= 
 
187. 3   
Sol. 
10 10 20
500 1.50 Rs.
100 100 100
? ? ? = 
 
188. 4 
Sol. C.P of pen (each) 
10
Rs.
11
= 
 S.P of pen (each) 
11
Rs.
10
= 
 So it is clean its profit  
 
11 10 21
profit Rs.
10 11 110
? = - = 
 
21
so now profit% = 100
110 10
10 11
??
??
?
??
??
?
??
??
 
 
21 11
100 21%
10 110
?
= ? =
?
 
 
189. 4   
Sol. 
1 1 1 1
x
3 4 3 4
??
+ = -
??
??
 
 
71
x x 7
12 12
= ? ? = 
 
 
 
 
 
 
 
 
 
     
     
    
190. 3   
Sol. Let B ’s income = Rs. 100 
 A ’s income = 100 + 20=120 Rs. 
 It is clear that if A ’s income is Rs. 120, B ’s income is 100 Rs. 
which is less than Rs. 20. 
 B's ? income less by 
20
A 100
120
=? 
 
100 2
16 %
63
== 
 
191. 1   
Sol. 52 – complete weeks  
 Two days can be Monday Tuesday, Tuesday Wednesday, 
Wednesday Thursday, Thursday Friday, Friday Saturday, Saturday 
Sunday, Sunday Monday.  
 F sat Sat S, SM 
 Total case = 7, fordable case = 2  
 Prob = 2/7 
 
192. 3 
Sol. 
2 2sin cos sin2
sin cos
2 2 2
? ? ?
? ? = = 
 Min value of sin = - 1 
 
sin2 1
min value of 
22
?
? = - 
 
 
193. 2   
Sol. It following a particular pattern  
 
36
12
10 1 10 1
Quotient 9, 9009
111 111
10 1
similarly 9009009009
111
--
= = =
-
=
 
 
194. 4   
Sol. 
x4
log3 log729
+
= 
 
x 4 6
33
x 4 6 x 2
+
?=
+ = ? =
 
  
195. 1   
Sol. We all known that  
 
1 1 1 2 2 2
12
M TD M T D
WW
= 
 
2
p p p q q q
pw
? ? ? ?
= 
Page 5


 
 
 
 
 
 
     
     
    
UTTAR PRADESH NTSE STAGE 1 (2020-21)  
                       SAT ANSWER KEY  
 
 
Physics 
 
101. 4  102. 2  103. 3  104. 2 
105. 3  106. 4  107. 1  108. 3 
109. 2  110. 2  111. 3   
 
Chemistry 
  
112.  2  113.  1  114.  3  115.  2 
116.  2  117.  3  118.  4  119.  4 
120.  1  121.  4  122.  2  123.  2 
124.  3  125.  3  126.  4   
 
BIO 
 
127. 1  128. 2  129. 3  130. 4 
131. 1  132. 3  133. 2  134. 4 
135. 1  136. 2  137. 1  138. 2 
139. 2  140. 3 
  
Social Studies 
 
141. 4  142. 1  143. 3  144. 2 
145. 2  146. 2  147. 2  148. 3 
149. 4  150. 1  151. 3  152. 4 
153. 4  154. 2  155. 3  156. 2 
157. 4  158. 3  159. 1  160. 4 
161. 2  162. 3  163. 4  164. 1 
165. 3  166. 1  167. 1  168. 2 
169. 1  170. 2  171. 2  172. 2 
173. 3  174. 1  175. 1  176. 1 
177. 2  178. 2  179. 1  180. 3 
 
 
 
 
 
 
 
 
 
 
 
 
 
     
     
    
Mathematics 
 
181. 2 
Sol. ( ) x 0.7 0.7777....... i == 
 ( ) 10x 7.777......... ii = 
 (ii) – (i) 
 
9x 7
x 7 / 9
14
2x
9
2x 1.5
=
=
?=
=
   
 
182. 1 
Sol. 
x y z
a b,b c,c a = = = 
 
xy xyz 1
a c a a
xyz 1
= ? =
=
 
   
183. 1   
Sol. 
( ) ( )
( ) ( )
3 1 3 1
a b 3
3 1 3 1
--
=+
+-
 
 
3 1 2 3
a b 3
31
4 2 3
a b 3
2
+-
=+
-
-
=+
 
 
2 3 a b 3
a 2,b 1
- = +
= = -
 
  
184. 4  
Sol. 
a b b c c a 2a 2b 2c
2a 2b 2c 2a 2b 2c
xx
1
xx
+ + + + + + +
+ + + +
== 
 
185. 3   
Sol. 
1 x 1 x
7 7 50
+-
+= 
 
x
x
x
7
7.7 50
7
Let7 y
7
7y 50
y
+=
=
+=
 
 
 
 
 
 
 
     
     
    
 ( ) ( )
2
2
2
x
x
7y 7 50y
7y 50y 7 0
7y 49y y 7 0
7y y 7 1 y 7 0
y 1/ 7,7
1
7 x 1
7
7 7 x 1
+=
- + =
- - + =
- - - =
=
? = ? = -
= ? =
 
 
 
 
186. 3   
Sol. Let the men salary Rs. 100  
After 10% reduction salary = Rs 90  
Amount increased Rs. 10 to bring it on original salary that is Rs 
100. 
Percentage increased = 
10 1
100 11 %
90 9
?= 
 
187. 3   
Sol. 
10 10 20
500 1.50 Rs.
100 100 100
? ? ? = 
 
188. 4 
Sol. C.P of pen (each) 
10
Rs.
11
= 
 S.P of pen (each) 
11
Rs.
10
= 
 So it is clean its profit  
 
11 10 21
profit Rs.
10 11 110
? = - = 
 
21
so now profit% = 100
110 10
10 11
??
??
?
??
??
?
??
??
 
 
21 11
100 21%
10 110
?
= ? =
?
 
 
189. 4   
Sol. 
1 1 1 1
x
3 4 3 4
??
+ = -
??
??
 
 
71
x x 7
12 12
= ? ? = 
 
 
 
 
 
 
 
 
 
     
     
    
190. 3   
Sol. Let B ’s income = Rs. 100 
 A ’s income = 100 + 20=120 Rs. 
 It is clear that if A ’s income is Rs. 120, B ’s income is 100 Rs. 
which is less than Rs. 20. 
 B's ? income less by 
20
A 100
120
=? 
 
100 2
16 %
63
== 
 
191. 1   
Sol. 52 – complete weeks  
 Two days can be Monday Tuesday, Tuesday Wednesday, 
Wednesday Thursday, Thursday Friday, Friday Saturday, Saturday 
Sunday, Sunday Monday.  
 F sat Sat S, SM 
 Total case = 7, fordable case = 2  
 Prob = 2/7 
 
192. 3 
Sol. 
2 2sin cos sin2
sin cos
2 2 2
? ? ?
? ? = = 
 Min value of sin = - 1 
 
sin2 1
min value of 
22
?
? = - 
 
 
193. 2   
Sol. It following a particular pattern  
 
36
12
10 1 10 1
Quotient 9, 9009
111 111
10 1
similarly 9009009009
111
--
= = =
-
=
 
 
194. 4   
Sol. 
x4
log3 log729
+
= 
 
x 4 6
33
x 4 6 x 2
+
?=
+ = ? =
 
  
195. 1   
Sol. We all known that  
 
1 1 1 2 2 2
12
M TD M T D
WW
= 
 
2
p p p q q q
pw
? ? ? ?
= 
 
 
 
 
 
 
     
     
    
 
3
2 2
q
w
p
= 
 
196. 4 
Sol. Using factor theorem,  
 Put x = - 1 in the equation 
 
( ) ( )
100 99
1 2 1 k 0          
1 2 k 0
k1
- + - + =
- + =
=
 
 
197. 2   
Sol. If original radius r  
then volume of cylinder 
2
rh =? 
 New radius = 1. 1r 
 New volume 
2
1.21 r h = ? ? 
 
2
1.21 r h =? 
 So increase in height 
1.21 1
100%
1.21
- ??
=?
??
??
 
 =17.36% 
 
198. 1   
Sol. Square on both side  
 
2
x 1 x 1 2 x 1 1 + + - - - = 
 
( )
2
22
22
2x 1 2 x 1
again sqaure
4x 1 4x 4 x 1
4x 1 4x 4x 4
4x 5 x 5 / 4
- = -
+ - = -
+ - = -
= ? =
 
 
199. 2   
Sol. Prime no from 1 to 30 
 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 = 10 
 
10 1
prob.
30 3
== 
 
200. 3 
Sol. In two day insect climb = 2 – 1 = 1 m. 
 So in 20 day, insect climb = 10 m. 
 In 21th day insect climb = 2m 
 ?Total height = 10 + 2 = 12 m
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