Tamil Nadu: State Level Question Paper (SAT) - 2016-17 | NTSE for Class 10 PDF Download

 Page 1


  
 
SCHOLASTIC APTITUDE TEST  
Part – II 
(FOR Students of Class X) 
Time : 90 Minutes         Max. Marks : 100 
Instructions to Candidates 
 
Read the following instructions carefully before you open the question booklet. 
 
1. Answers are to be given on the same OMR Answer Sheet provided for Part – I. 
 
2. There are 100 questions in this test.  All are compulsory. 
 
3. The question numbers 101 – 120 belong to Mathematics, 121 – 160 pertain to Science and 161 – 200 are 
social science subjects. 
 
4. Choose the correct answer from the options given for each question and darken the corresponding circle 
with black ball point pen in the OMR answer Sheet. 
 
5. Since the time allotted for this Question Paper is very limited you should make the best use of it by not 
spending too much time on any one question. 
 
6. If you do not know the answer to any question, do not waste time on it and pass on to the next one.  If time 
permits, you can come back to the questions, which you have left in the first instance and attempt them. 
 
7. Rough work can be done anywhere in the Question Booklet but not on the OMR Sheet/loose paper. 
 
8. Every correct answer will be awarded one mark. 
 
9. Please return the OMR Answer Sheet only to the invigilator after completion of the test.  You can 
retain the Question Booklets. 
 
10. English version of the Question paper will be considered as final in case of any dispute arising out of 
variation in translated version. 
 
11. Quote your seven digit Roll number without fail for any future correspondence.  
 
 
 
 
   
 
   
 
 
  
Page 2


  
 
SCHOLASTIC APTITUDE TEST  
Part – II 
(FOR Students of Class X) 
Time : 90 Minutes         Max. Marks : 100 
Instructions to Candidates 
 
Read the following instructions carefully before you open the question booklet. 
 
1. Answers are to be given on the same OMR Answer Sheet provided for Part – I. 
 
2. There are 100 questions in this test.  All are compulsory. 
 
3. The question numbers 101 – 120 belong to Mathematics, 121 – 160 pertain to Science and 161 – 200 are 
social science subjects. 
 
4. Choose the correct answer from the options given for each question and darken the corresponding circle 
with black ball point pen in the OMR answer Sheet. 
 
5. Since the time allotted for this Question Paper is very limited you should make the best use of it by not 
spending too much time on any one question. 
 
6. If you do not know the answer to any question, do not waste time on it and pass on to the next one.  If time 
permits, you can come back to the questions, which you have left in the first instance and attempt them. 
 
7. Rough work can be done anywhere in the Question Booklet but not on the OMR Sheet/loose paper. 
 
8. Every correct answer will be awarded one mark. 
 
9. Please return the OMR Answer Sheet only to the invigilator after completion of the test.  You can 
retain the Question Booklets. 
 
10. English version of the Question paper will be considered as final in case of any dispute arising out of 
variation in translated version. 
 
11. Quote your seven digit Roll number without fail for any future correspondence.  
 
 
 
 
   
 
   
 
 
  
  
 
 
MATHEMATICS 
 
101. When 10
2
x + x – 23 is divided by (2x + 3), the reminder is: 
 (A) 1 (B) -2 (C) 2 (D) 0 
 
102. If ? and ? are the zeros of the polynomial 25 
2
x - 16, then ? ? ?
22
 is: 
 (A) 
32
25
 (B) 
25
32
 (C) 
25
16
 (D) 
16
25
 
103. The sum of 
?
3
a
ba
 and 
?
3
b
ab
 is : 
 (A) ??
22
a ab b (B) ? ? ?
22
a ab b (C) ??
22
a ab b (D) ?
33
ab 
 
104. Sum of the digits of two digit number is 9. The number obtained by interchanging the digits is 18 more than 
twice the original number. The original number is:  
 (A) 72 (B) 27 (C) 36 (D) 63 
 
105. Which of the following are irrational numbers? 
 (i) ? 23 (ii) ? 4 25 (iii) ?
3
57 (iv) ?
3
68
 
 (A) (i), (ii) (B) (iii), (iv) (C) (i), (iii) (D) (iv), (iv)
 
 
106. For which value, point A(a, b) lies in the quadrant III: 
 (A) a > 0, b < 0 (B) a < 0, b < 0 (C) a > 0, b > 0 (D) a < 0, b > 0 
 
107. If the LCM of 12 and 42 is (10 m + 4) then the value of ‘m’ is: 
 (A) 50 (B) 8 (C) 
1
5
 (D) 1 
 
108. If the perimeter of protractor is 72 cm, then it’s radius is 
??
??
??
??
22
take
7
: 
 (A) 7 cm (B) 21 cm (C) 14 cm (D) 3.5 cm 
 
109. The degree of the polynomial (x + 1) (
2
x -x - 
4
x + 1) is: 
 (A) 2 (B) 3 (C) 4 (D) 5 
 
110. Two right circular cones have same radii. Ratio of their slant height is 4: 3, then the ratio of their curved 
surface areas is: 
 (A) 16: 9 (B) 2: 3 (C) 4: 3 (D) 3: 4 
 
111. AB and CD are two chords of a circle which intersect each other externally at p. if AB = 4 cm, BP = 5 cm, 
PD = 3 cm, then the length of CD is: 
 (A) 10 cm (B) 12 cm (C) 8 cm (D) 11 cm 
 
112. The radii of two concentric circles are 7 cm and 14 cm are respectively. The area between the two sectors 
of the circles whose central angle 60° is: 
 (A) 154 sq. cm (B) 77 sq. cm (C) 308 sq. cm (D) 98 sq. cm 
 
113. Arithmetic mean of 20 observations is 15. if each observation is multiplied by 
2
3
 then the arithmetic mean 
of them is: 
 (A) 10 (B) 30 (C) 45 (D) 15 
  
Page 3


  
 
SCHOLASTIC APTITUDE TEST  
Part – II 
(FOR Students of Class X) 
Time : 90 Minutes         Max. Marks : 100 
Instructions to Candidates 
 
Read the following instructions carefully before you open the question booklet. 
 
1. Answers are to be given on the same OMR Answer Sheet provided for Part – I. 
 
2. There are 100 questions in this test.  All are compulsory. 
 
3. The question numbers 101 – 120 belong to Mathematics, 121 – 160 pertain to Science and 161 – 200 are 
social science subjects. 
 
4. Choose the correct answer from the options given for each question and darken the corresponding circle 
with black ball point pen in the OMR answer Sheet. 
 
5. Since the time allotted for this Question Paper is very limited you should make the best use of it by not 
spending too much time on any one question. 
 
6. If you do not know the answer to any question, do not waste time on it and pass on to the next one.  If time 
permits, you can come back to the questions, which you have left in the first instance and attempt them. 
 
7. Rough work can be done anywhere in the Question Booklet but not on the OMR Sheet/loose paper. 
 
8. Every correct answer will be awarded one mark. 
 
9. Please return the OMR Answer Sheet only to the invigilator after completion of the test.  You can 
retain the Question Booklets. 
 
10. English version of the Question paper will be considered as final in case of any dispute arising out of 
variation in translated version. 
 
11. Quote your seven digit Roll number without fail for any future correspondence.  
 
 
 
 
   
 
   
 
 
  
  
 
 
MATHEMATICS 
 
101. When 10
2
x + x – 23 is divided by (2x + 3), the reminder is: 
 (A) 1 (B) -2 (C) 2 (D) 0 
 
102. If ? and ? are the zeros of the polynomial 25 
2
x - 16, then ? ? ?
22
 is: 
 (A) 
32
25
 (B) 
25
32
 (C) 
25
16
 (D) 
16
25
 
103. The sum of 
?
3
a
ba
 and 
?
3
b
ab
 is : 
 (A) ??
22
a ab b (B) ? ? ?
22
a ab b (C) ??
22
a ab b (D) ?
33
ab 
 
104. Sum of the digits of two digit number is 9. The number obtained by interchanging the digits is 18 more than 
twice the original number. The original number is:  
 (A) 72 (B) 27 (C) 36 (D) 63 
 
105. Which of the following are irrational numbers? 
 (i) ? 23 (ii) ? 4 25 (iii) ?
3
57 (iv) ?
3
68
 
 (A) (i), (ii) (B) (iii), (iv) (C) (i), (iii) (D) (iv), (iv)
 
 
106. For which value, point A(a, b) lies in the quadrant III: 
 (A) a > 0, b < 0 (B) a < 0, b < 0 (C) a > 0, b > 0 (D) a < 0, b > 0 
 
107. If the LCM of 12 and 42 is (10 m + 4) then the value of ‘m’ is: 
 (A) 50 (B) 8 (C) 
1
5
 (D) 1 
 
108. If the perimeter of protractor is 72 cm, then it’s radius is 
??
??
??
??
22
take
7
: 
 (A) 7 cm (B) 21 cm (C) 14 cm (D) 3.5 cm 
 
109. The degree of the polynomial (x + 1) (
2
x -x - 
4
x + 1) is: 
 (A) 2 (B) 3 (C) 4 (D) 5 
 
110. Two right circular cones have same radii. Ratio of their slant height is 4: 3, then the ratio of their curved 
surface areas is: 
 (A) 16: 9 (B) 2: 3 (C) 4: 3 (D) 3: 4 
 
111. AB and CD are two chords of a circle which intersect each other externally at p. if AB = 4 cm, BP = 5 cm, 
PD = 3 cm, then the length of CD is: 
 (A) 10 cm (B) 12 cm (C) 8 cm (D) 11 cm 
 
112. The radii of two concentric circles are 7 cm and 14 cm are respectively. The area between the two sectors 
of the circles whose central angle 60° is: 
 (A) 154 sq. cm (B) 77 sq. cm (C) 308 sq. cm (D) 98 sq. cm 
 
113. Arithmetic mean of 20 observations is 15. if each observation is multiplied by 
2
3
 then the arithmetic mean 
of them is: 
 (A) 10 (B) 30 (C) 45 (D) 15 
  
  
 
 
114. There are 6 defective items in a sample of 20 items. One items is drawn at random. The probability that it is 
a non – defective item is: 
 (A) 
7
10
 (B) 0 (C) 
3
10
 (D) 
2
3
 
 
115. Segment of a quadrant of a circle has area equal to: 
 (A) 
? ??
?
??
??
2
r
1
22
sq. units (B) 
2
1r
4
? ??
?
??
??
sq. units (C) 
? ??
?
??
??
2
r
1
22
sq. units (D) 
???
?
??
??
2
r1
4
sq. units 
 
116. ?
2
1 sin A . ?
2
sec A 1. ?
2
1 cot A 
 (A) 0 (B) 2 (C) 1 (D) -2 
 
117. If 5x = cosec ? and ??
5
cot
x
then 
??
?
??
??
2
2
1
5x
x
 =  
 (A) 25 (B) 1 (C) 
1
5
 (D) -5 
118. If x = a cos ? , y = sin ? , then ?
22
xy =  
 (A) 1 (B) a (C) 
2
a (D) ?
22
ab 
 
119. If the diagonals of a rhombus are 30 cm and 40 cm, then the length of side of rhombus is: 
 (A) 20 cm  (B) 22 cm (C) 25 cm (D) 45 cm 
 
120. Equilateral triangle ABC is inscribed in a circle. If side of the 
triangle = 24 cm, then the radius is 
 (A) 6 3 cm (B) 12 3 cm  
 (C) 8 3 cm (D) 6cm 
 
 
A  
B  
C  
O  
r 
 
 
SCIENCE 
 
121. Two cars A and B accelerate in the ratio of 2: 3 respectively. If they both accelerate for equal time, the ratio 
of their change in velocity is: 
 (A) 2: 3 (B) 3: 2 (C) 1:1 (D) 1: 2 
 
122. Two cars X and Y accelerate at the rate of 2 m/ s
2
 and 3 m/s
2
 respectively from rest. The ratio of time 
taken by the cars X and Y is 4: 5. In that given ratio of time interval if the distance travelled by car X is 100 
km then the distance travelled by car Y is: 
 (A) 
1875
8
km (B) 
375
2
km (C) 
1875
4
km (D) 
375
4
km 
 
123. A car driver travelling with a uniform velocity of 2m/s notices a railway level crossing at a distance of 435 m 
from him. And also he notices that it is going to be closed in 10 seconds. First he decides to cross the level 
crossing hence he accelerates his car at the rate of 2 ms
?2
 for five seconds. Then he decides to stop the 
car. So he applies brake and stops the car exactly before the level crossing (without following the timer). 
Calculate the minimum rate at which he has to decelerate the car so that he stops the car exactly before 
the level crossing 
 (A) 1.8m/s
2
 (B) 18 m/s
2
 (C) 0.18 m/s
2
 (D) 3.6 m/s
2
 
 
124. Two files A and B revolve around a light in concentric circular path. The radius of circular path of A is twice 
of B. A travels with a uniform linear speed of 4 m/s while B travels with a uniform linear speed of 3 m/s. 
when A completes tree full rounds then B would have completed: 
 (A) 4 rounds (B) 3 rounds (C) 2 rounds (D) 1 round 
Page 4


  
 
SCHOLASTIC APTITUDE TEST  
Part – II 
(FOR Students of Class X) 
Time : 90 Minutes         Max. Marks : 100 
Instructions to Candidates 
 
Read the following instructions carefully before you open the question booklet. 
 
1. Answers are to be given on the same OMR Answer Sheet provided for Part – I. 
 
2. There are 100 questions in this test.  All are compulsory. 
 
3. The question numbers 101 – 120 belong to Mathematics, 121 – 160 pertain to Science and 161 – 200 are 
social science subjects. 
 
4. Choose the correct answer from the options given for each question and darken the corresponding circle 
with black ball point pen in the OMR answer Sheet. 
 
5. Since the time allotted for this Question Paper is very limited you should make the best use of it by not 
spending too much time on any one question. 
 
6. If you do not know the answer to any question, do not waste time on it and pass on to the next one.  If time 
permits, you can come back to the questions, which you have left in the first instance and attempt them. 
 
7. Rough work can be done anywhere in the Question Booklet but not on the OMR Sheet/loose paper. 
 
8. Every correct answer will be awarded one mark. 
 
9. Please return the OMR Answer Sheet only to the invigilator after completion of the test.  You can 
retain the Question Booklets. 
 
10. English version of the Question paper will be considered as final in case of any dispute arising out of 
variation in translated version. 
 
11. Quote your seven digit Roll number without fail for any future correspondence.  
 
 
 
 
   
 
   
 
 
  
  
 
 
MATHEMATICS 
 
101. When 10
2
x + x – 23 is divided by (2x + 3), the reminder is: 
 (A) 1 (B) -2 (C) 2 (D) 0 
 
102. If ? and ? are the zeros of the polynomial 25 
2
x - 16, then ? ? ?
22
 is: 
 (A) 
32
25
 (B) 
25
32
 (C) 
25
16
 (D) 
16
25
 
103. The sum of 
?
3
a
ba
 and 
?
3
b
ab
 is : 
 (A) ??
22
a ab b (B) ? ? ?
22
a ab b (C) ??
22
a ab b (D) ?
33
ab 
 
104. Sum of the digits of two digit number is 9. The number obtained by interchanging the digits is 18 more than 
twice the original number. The original number is:  
 (A) 72 (B) 27 (C) 36 (D) 63 
 
105. Which of the following are irrational numbers? 
 (i) ? 23 (ii) ? 4 25 (iii) ?
3
57 (iv) ?
3
68
 
 (A) (i), (ii) (B) (iii), (iv) (C) (i), (iii) (D) (iv), (iv)
 
 
106. For which value, point A(a, b) lies in the quadrant III: 
 (A) a > 0, b < 0 (B) a < 0, b < 0 (C) a > 0, b > 0 (D) a < 0, b > 0 
 
107. If the LCM of 12 and 42 is (10 m + 4) then the value of ‘m’ is: 
 (A) 50 (B) 8 (C) 
1
5
 (D) 1 
 
108. If the perimeter of protractor is 72 cm, then it’s radius is 
??
??
??
??
22
take
7
: 
 (A) 7 cm (B) 21 cm (C) 14 cm (D) 3.5 cm 
 
109. The degree of the polynomial (x + 1) (
2
x -x - 
4
x + 1) is: 
 (A) 2 (B) 3 (C) 4 (D) 5 
 
110. Two right circular cones have same radii. Ratio of their slant height is 4: 3, then the ratio of their curved 
surface areas is: 
 (A) 16: 9 (B) 2: 3 (C) 4: 3 (D) 3: 4 
 
111. AB and CD are two chords of a circle which intersect each other externally at p. if AB = 4 cm, BP = 5 cm, 
PD = 3 cm, then the length of CD is: 
 (A) 10 cm (B) 12 cm (C) 8 cm (D) 11 cm 
 
112. The radii of two concentric circles are 7 cm and 14 cm are respectively. The area between the two sectors 
of the circles whose central angle 60° is: 
 (A) 154 sq. cm (B) 77 sq. cm (C) 308 sq. cm (D) 98 sq. cm 
 
113. Arithmetic mean of 20 observations is 15. if each observation is multiplied by 
2
3
 then the arithmetic mean 
of them is: 
 (A) 10 (B) 30 (C) 45 (D) 15 
  
  
 
 
114. There are 6 defective items in a sample of 20 items. One items is drawn at random. The probability that it is 
a non – defective item is: 
 (A) 
7
10
 (B) 0 (C) 
3
10
 (D) 
2
3
 
 
115. Segment of a quadrant of a circle has area equal to: 
 (A) 
? ??
?
??
??
2
r
1
22
sq. units (B) 
2
1r
4
? ??
?
??
??
sq. units (C) 
? ??
?
??
??
2
r
1
22
sq. units (D) 
???
?
??
??
2
r1
4
sq. units 
 
116. ?
2
1 sin A . ?
2
sec A 1. ?
2
1 cot A 
 (A) 0 (B) 2 (C) 1 (D) -2 
 
117. If 5x = cosec ? and ??
5
cot
x
then 
??
?
??
??
2
2
1
5x
x
 =  
 (A) 25 (B) 1 (C) 
1
5
 (D) -5 
118. If x = a cos ? , y = sin ? , then ?
22
xy =  
 (A) 1 (B) a (C) 
2
a (D) ?
22
ab 
 
119. If the diagonals of a rhombus are 30 cm and 40 cm, then the length of side of rhombus is: 
 (A) 20 cm  (B) 22 cm (C) 25 cm (D) 45 cm 
 
120. Equilateral triangle ABC is inscribed in a circle. If side of the 
triangle = 24 cm, then the radius is 
 (A) 6 3 cm (B) 12 3 cm  
 (C) 8 3 cm (D) 6cm 
 
 
A  
B  
C  
O  
r 
 
 
SCIENCE 
 
121. Two cars A and B accelerate in the ratio of 2: 3 respectively. If they both accelerate for equal time, the ratio 
of their change in velocity is: 
 (A) 2: 3 (B) 3: 2 (C) 1:1 (D) 1: 2 
 
122. Two cars X and Y accelerate at the rate of 2 m/ s
2
 and 3 m/s
2
 respectively from rest. The ratio of time 
taken by the cars X and Y is 4: 5. In that given ratio of time interval if the distance travelled by car X is 100 
km then the distance travelled by car Y is: 
 (A) 
1875
8
km (B) 
375
2
km (C) 
1875
4
km (D) 
375
4
km 
 
123. A car driver travelling with a uniform velocity of 2m/s notices a railway level crossing at a distance of 435 m 
from him. And also he notices that it is going to be closed in 10 seconds. First he decides to cross the level 
crossing hence he accelerates his car at the rate of 2 ms
?2
 for five seconds. Then he decides to stop the 
car. So he applies brake and stops the car exactly before the level crossing (without following the timer). 
Calculate the minimum rate at which he has to decelerate the car so that he stops the car exactly before 
the level crossing 
 (A) 1.8m/s
2
 (B) 18 m/s
2
 (C) 0.18 m/s
2
 (D) 3.6 m/s
2
 
 
124. Two files A and B revolve around a light in concentric circular path. The radius of circular path of A is twice 
of B. A travels with a uniform linear speed of 4 m/s while B travels with a uniform linear speed of 3 m/s. 
when A completes tree full rounds then B would have completed: 
 (A) 4 rounds (B) 3 rounds (C) 2 rounds (D) 1 round 
  
 
 
125. If the under given velocity (Vs), time graph can be changed into 
acceleration (Vs) time graph, then which one of the given options 
represents acceleration (Vs) time graph: 
 
 
Velocity (m/s)  
20 
0 5 
10 
Time(sec) 
 
 
(A) 
 Acceleration 
? ?
2
m / s 
time (sec)  5  10 
4 
0 
4 
 
(B) 
 Acceleration 
? ?
2
m / s 
time (sec)  5  10 
4 
0 
4 
 
    
(C) 
 Acceleration 
? ?
2
m / s 
time (sec)  5  10 
4 
0 
4 
 
(D) 
 Acceleration 
? ?
2
m / s 
time (sec)  5  10 
4 
0 
4 
 
 
126. A boy travels along a circular path of radius ‘r’ m. when his angular displacement is 
?
3
 radians then his 
linear displacement is: 
 (A) r2 m (B) r m (C) 2 r m (D) 
?r
3
m 
 
127. From a tower of height 20 m a boy throws a stone in the vertically upward direction with a velocity of 40 m/s 
and at the same time a girl drops another identical stone from the same tower. When the momentum of the 
stone dropped by the girl is maximum what will be displacement of the stone projected in the upward 
direction from the top of the tower? (Take acceleration due to gravity of earth as 10 m/s
2
)  
 (A) 60 m (B) 40 m (C) 20 m (D) 0 m 
 
 
128. If all ??
a b c
R R R then the number of electrons travelling through 
a
R in every second is: 
 (A) Half the number of electrons travelling through 
b
R 
 (B) Equal to the number of electrons travelling through 
c
R 
 (C) Twice the number of electrons travelling through 
c
R 
 (D) Half the number of electrons travelling through 
c
R 
 
 
a
R 
b
R 
V 
c
R 
 
 
 
Page 5


  
 
SCHOLASTIC APTITUDE TEST  
Part – II 
(FOR Students of Class X) 
Time : 90 Minutes         Max. Marks : 100 
Instructions to Candidates 
 
Read the following instructions carefully before you open the question booklet. 
 
1. Answers are to be given on the same OMR Answer Sheet provided for Part – I. 
 
2. There are 100 questions in this test.  All are compulsory. 
 
3. The question numbers 101 – 120 belong to Mathematics, 121 – 160 pertain to Science and 161 – 200 are 
social science subjects. 
 
4. Choose the correct answer from the options given for each question and darken the corresponding circle 
with black ball point pen in the OMR answer Sheet. 
 
5. Since the time allotted for this Question Paper is very limited you should make the best use of it by not 
spending too much time on any one question. 
 
6. If you do not know the answer to any question, do not waste time on it and pass on to the next one.  If time 
permits, you can come back to the questions, which you have left in the first instance and attempt them. 
 
7. Rough work can be done anywhere in the Question Booklet but not on the OMR Sheet/loose paper. 
 
8. Every correct answer will be awarded one mark. 
 
9. Please return the OMR Answer Sheet only to the invigilator after completion of the test.  You can 
retain the Question Booklets. 
 
10. English version of the Question paper will be considered as final in case of any dispute arising out of 
variation in translated version. 
 
11. Quote your seven digit Roll number without fail for any future correspondence.  
 
 
 
 
   
 
   
 
 
  
  
 
 
MATHEMATICS 
 
101. When 10
2
x + x – 23 is divided by (2x + 3), the reminder is: 
 (A) 1 (B) -2 (C) 2 (D) 0 
 
102. If ? and ? are the zeros of the polynomial 25 
2
x - 16, then ? ? ?
22
 is: 
 (A) 
32
25
 (B) 
25
32
 (C) 
25
16
 (D) 
16
25
 
103. The sum of 
?
3
a
ba
 and 
?
3
b
ab
 is : 
 (A) ??
22
a ab b (B) ? ? ?
22
a ab b (C) ??
22
a ab b (D) ?
33
ab 
 
104. Sum of the digits of two digit number is 9. The number obtained by interchanging the digits is 18 more than 
twice the original number. The original number is:  
 (A) 72 (B) 27 (C) 36 (D) 63 
 
105. Which of the following are irrational numbers? 
 (i) ? 23 (ii) ? 4 25 (iii) ?
3
57 (iv) ?
3
68
 
 (A) (i), (ii) (B) (iii), (iv) (C) (i), (iii) (D) (iv), (iv)
 
 
106. For which value, point A(a, b) lies in the quadrant III: 
 (A) a > 0, b < 0 (B) a < 0, b < 0 (C) a > 0, b > 0 (D) a < 0, b > 0 
 
107. If the LCM of 12 and 42 is (10 m + 4) then the value of ‘m’ is: 
 (A) 50 (B) 8 (C) 
1
5
 (D) 1 
 
108. If the perimeter of protractor is 72 cm, then it’s radius is 
??
??
??
??
22
take
7
: 
 (A) 7 cm (B) 21 cm (C) 14 cm (D) 3.5 cm 
 
109. The degree of the polynomial (x + 1) (
2
x -x - 
4
x + 1) is: 
 (A) 2 (B) 3 (C) 4 (D) 5 
 
110. Two right circular cones have same radii. Ratio of their slant height is 4: 3, then the ratio of their curved 
surface areas is: 
 (A) 16: 9 (B) 2: 3 (C) 4: 3 (D) 3: 4 
 
111. AB and CD are two chords of a circle which intersect each other externally at p. if AB = 4 cm, BP = 5 cm, 
PD = 3 cm, then the length of CD is: 
 (A) 10 cm (B) 12 cm (C) 8 cm (D) 11 cm 
 
112. The radii of two concentric circles are 7 cm and 14 cm are respectively. The area between the two sectors 
of the circles whose central angle 60° is: 
 (A) 154 sq. cm (B) 77 sq. cm (C) 308 sq. cm (D) 98 sq. cm 
 
113. Arithmetic mean of 20 observations is 15. if each observation is multiplied by 
2
3
 then the arithmetic mean 
of them is: 
 (A) 10 (B) 30 (C) 45 (D) 15 
  
  
 
 
114. There are 6 defective items in a sample of 20 items. One items is drawn at random. The probability that it is 
a non – defective item is: 
 (A) 
7
10
 (B) 0 (C) 
3
10
 (D) 
2
3
 
 
115. Segment of a quadrant of a circle has area equal to: 
 (A) 
? ??
?
??
??
2
r
1
22
sq. units (B) 
2
1r
4
? ??
?
??
??
sq. units (C) 
? ??
?
??
??
2
r
1
22
sq. units (D) 
???
?
??
??
2
r1
4
sq. units 
 
116. ?
2
1 sin A . ?
2
sec A 1. ?
2
1 cot A 
 (A) 0 (B) 2 (C) 1 (D) -2 
 
117. If 5x = cosec ? and ??
5
cot
x
then 
??
?
??
??
2
2
1
5x
x
 =  
 (A) 25 (B) 1 (C) 
1
5
 (D) -5 
118. If x = a cos ? , y = sin ? , then ?
22
xy =  
 (A) 1 (B) a (C) 
2
a (D) ?
22
ab 
 
119. If the diagonals of a rhombus are 30 cm and 40 cm, then the length of side of rhombus is: 
 (A) 20 cm  (B) 22 cm (C) 25 cm (D) 45 cm 
 
120. Equilateral triangle ABC is inscribed in a circle. If side of the 
triangle = 24 cm, then the radius is 
 (A) 6 3 cm (B) 12 3 cm  
 (C) 8 3 cm (D) 6cm 
 
 
A  
B  
C  
O  
r 
 
 
SCIENCE 
 
121. Two cars A and B accelerate in the ratio of 2: 3 respectively. If they both accelerate for equal time, the ratio 
of their change in velocity is: 
 (A) 2: 3 (B) 3: 2 (C) 1:1 (D) 1: 2 
 
122. Two cars X and Y accelerate at the rate of 2 m/ s
2
 and 3 m/s
2
 respectively from rest. The ratio of time 
taken by the cars X and Y is 4: 5. In that given ratio of time interval if the distance travelled by car X is 100 
km then the distance travelled by car Y is: 
 (A) 
1875
8
km (B) 
375
2
km (C) 
1875
4
km (D) 
375
4
km 
 
123. A car driver travelling with a uniform velocity of 2m/s notices a railway level crossing at a distance of 435 m 
from him. And also he notices that it is going to be closed in 10 seconds. First he decides to cross the level 
crossing hence he accelerates his car at the rate of 2 ms
?2
 for five seconds. Then he decides to stop the 
car. So he applies brake and stops the car exactly before the level crossing (without following the timer). 
Calculate the minimum rate at which he has to decelerate the car so that he stops the car exactly before 
the level crossing 
 (A) 1.8m/s
2
 (B) 18 m/s
2
 (C) 0.18 m/s
2
 (D) 3.6 m/s
2
 
 
124. Two files A and B revolve around a light in concentric circular path. The radius of circular path of A is twice 
of B. A travels with a uniform linear speed of 4 m/s while B travels with a uniform linear speed of 3 m/s. 
when A completes tree full rounds then B would have completed: 
 (A) 4 rounds (B) 3 rounds (C) 2 rounds (D) 1 round 
  
 
 
125. If the under given velocity (Vs), time graph can be changed into 
acceleration (Vs) time graph, then which one of the given options 
represents acceleration (Vs) time graph: 
 
 
Velocity (m/s)  
20 
0 5 
10 
Time(sec) 
 
 
(A) 
 Acceleration 
? ?
2
m / s 
time (sec)  5  10 
4 
0 
4 
 
(B) 
 Acceleration 
? ?
2
m / s 
time (sec)  5  10 
4 
0 
4 
 
    
(C) 
 Acceleration 
? ?
2
m / s 
time (sec)  5  10 
4 
0 
4 
 
(D) 
 Acceleration 
? ?
2
m / s 
time (sec)  5  10 
4 
0 
4 
 
 
126. A boy travels along a circular path of radius ‘r’ m. when his angular displacement is 
?
3
 radians then his 
linear displacement is: 
 (A) r2 m (B) r m (C) 2 r m (D) 
?r
3
m 
 
127. From a tower of height 20 m a boy throws a stone in the vertically upward direction with a velocity of 40 m/s 
and at the same time a girl drops another identical stone from the same tower. When the momentum of the 
stone dropped by the girl is maximum what will be displacement of the stone projected in the upward 
direction from the top of the tower? (Take acceleration due to gravity of earth as 10 m/s
2
)  
 (A) 60 m (B) 40 m (C) 20 m (D) 0 m 
 
 
128. If all ??
a b c
R R R then the number of electrons travelling through 
a
R in every second is: 
 (A) Half the number of electrons travelling through 
b
R 
 (B) Equal to the number of electrons travelling through 
c
R 
 (C) Twice the number of electrons travelling through 
c
R 
 (D) Half the number of electrons travelling through 
c
R 
 
 
a
R 
b
R 
V 
c
R 
 
 
 
  
 
129. The heat energy produced by the given coil in the given circuit in 
five minutes is: 
 (A) ?
5
6 10 J (B) ?
5
5.4 10 J  
 (C) ?
4
6 10 J (D) ?
4
5.4 10 J 
 
 
60 ohm 
200 V 
35 ohm 
Coil rated 200 V, 10 A
 
 
 
130. The net current in the circuit is: 
 (A) 2 A (B) 
4
3
A  
 (C) 1A (D) 
2
3
A 
 
 
200 V 
60 ohm 
50 ohm 
40 ohm 
100 ohm 
 
 
131. A stone of mass 500 gm is dropped from a certain height. When it is exactly at the midpoint of is free fall, 
the kinetic energy possessed by it is 800 J. what is the height from where it is dropped? (take acceleration 
due to gravity of earth as 
?2
10ms ) 
 (A) 320 m (B) 160 m (C) 80 m (D) 240 m 
 
132. A car of mass 2, 000 Kg travelling with a uniform velocity of 2 m/s accelerates till its velocity becomes 22 
m/s. The work done on the car is: 
 (A) 4.8 KJ (B) 480 KJ (C) 48 KJ (D) 500 KJ 
 
133. The engine of a bus of mass 5, 000 kg accelerate the bus from 2 m/s to 20 m/s in 120 seconds. The power 
expended by the bus is: 
 (A) 8,250 W (B) 8.25 W (C) 82.5 W (D) 825 W 
 
134. Tincture of iodine is a solution used as an antiseptic to clean wounds. This is prepared by dissolving solid 
iodine in: 
 (A) Alcohol (B) Water (C) Carbon di sulphide (D) Ether 
 
135. You are provided with 64 g of sulphur in container A and 64 g of 
2
O in container B. which will have more 
number of molecules? (Atomic mass of S = 32, O = 16) 
 (A) 64 g of S 
  B) 64 g of 
2
O 
 C) Both have equal number of molecules 
 (D) Cannot calculate with the given information 
 
136. Shyam and hari have 2 identical pieces of marble chips with same mass. They take equal volumes of dil. 
HCl with the same concentration in two different test tubes. Shyam puts the marble piece directly into the 
acid whereas hari powdered the marble piece and puts it into the test tube. What will be the correct 
observation made? 
 (A) Reaction in Shyam’s test tube will be faster (B) Reaction in Hari’s test tube will be faster 
 (C) Both reactions will happen in the same speed (D) No reaction happens in both the test tubes 
 
137. PH paper is separately dipped into 2 different solutions X and Y. colour of pH paper turned pale green in X 
and blue in Y. X and Y are most probably: 
 (A) X – water, Y – NaOH (B) X – NaOH, Y - 
2
HO  
 C) X – HCl, Y – NaOH (D) X – NaOH, Y – HCl