AP POLYCET 2025 Question Paper

Hall Ticket No.

Question Booklet
POLYCET–2025

Number
A
Signature of The Candidate
Series :

Time : 2 Hrs. Full Marks : 120
Note : Before answering the questions, read carefully the instructions given on the
OMR sheet.
{Á≥‘Ë˝≤ÀMʸ$ f–È∫$À$ {–ÈƒÊ˝$$rMʸ$ –˲$$ÖßÊ˛$ OMR f–È∫$ Á≥{ô˲–˲$$ÃZ C–˲”∫yÏ˛Ø˲ Á‹*^˲Ø˲ÀØ˲$ gÍ{Vʸô˲¢V> ^˲ßÊ˛–˲ÖyÏ˛.

SECTION—I : MATHEMATICS

1. 491400 =
(1) 23 × 33 × 53 × 7 × 13
(2) 23 × 33 × 52 × 7 × 13

(3) 23 × 32 × 52 × 7 × 13

(4) 22 × 32 × 52 × 7 × 13

2. Which of the following is not irrational?
{Mϸ֮ –È∞ÃZ Mʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈ M>∞®?
(1) 5− 3 (2) 7− 4
(3) 2+ 3 (4) 2− 3

3. Which of the following is true?
{Mϸ֮ –È∞ÃZ Á‹∆ˇOØ˲®?
(1) HCF ( p × q × r ) × LCM ( p × q × r ) = p × q × r
Vʸ›ÎøÍ ( p × q × r ) × Mʸ›ÎVʸ$ ( p × q × r ) = p × q × r
(2) HCF ( p × q × r ) + LCM ( p × q × r ) = p × q × r
Vʸ›ÎøÍ ( p × q × r ) + Mʸ›ÎVʸ$ ( p × q × r ) = p × q × r
(3) HCF ( p × q × r ) × LCM ( p × q × r ) ≠ p × q × r
Vʸ›ÎøÍ ( p × q × r ) × Mʸ›ÎVʸ$ ( p × q × r ) ≠ p × q × r
(4) HCF ( p × q × r ) − LCM ( p × q × r ) = p × q × r
Vʸ›ÎøÍ ( p × q × r ) − Mʸ›ÎVʸ$ ( p × q × r ) = p × q × r

/5— A [1] [ P.T.O.

4. A prime number p divides a2 where a is a positive integer, then
p {Á≥´ßÈØ˲ Á‹ÖQ≈, a ´ßÊ˛Ø˲–˲N∆Êˇ~ Á‹ÖQ≈ AVʸ$^˲*, a2 ∞ p øÍWÁ‹$¢Ø˲≤^¯?
(1) p divides a (2) p does not divide a
p ∞ a øÍWÁ‹$¢Ö® p ∞ a øÍWÖ^˲ßÊ˛$
(3) p is equal to a (4) All of these
p –˲$«ƒÊ˝$$ a Á‹–˲*ØË˛Ö C–˲±≤

5. The zero of linear polynomial ax + b is
∆ÛˇTƒÊ˝$ ∫Áfl˝$Á≥® ax + b ƒÒ˝$$MʸP ‘Ë˝*Ø˲≈Ö
a −a
(1) (2)
b b
b −b
(3) (4)
a a

6. If the graph of y = p(x ) does not intersect the X-axis at all, then the zeroes of p(x )
y = p(x ) AØ˲$ ∆ÛˇRÍ_{ô˲–˲$$ X-AÑʸ–˲$$Ø˲$ AÁ‹fiÀ$ QÖyÏ˛Ö^˲∞^¯, p(x ) ‘Ë˝*Ø˲≈–˲$$À$
(1) are equal (2) are unequal
Á‹–Ë˲*Ø˲–˲$$ Á‹–˲*Ø˲–˲$$ M>–˲#
(3) don’t exist (4) All of these
–˲#ÖyÊ˛–˲# C–˲±≤

7. The number of zeroes of a polynomial y = p(x ) as shown below is
{Mϸ֮ ^˲*Ì≥Ø˲ y = p(x ) AØ˲$ ∫Áfl˝$Á≥®Mϸ VʸÀ ‘Ë˝*Ø˲≈–˲$$À Á‹ÖQ≈?

o

(1) 0 (2) 1
(3) 2 (4) 3

/5— A [2]

8. A pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c 2 = 0 is such that
a1 b1
≠
a2 b2 , then they are

a1 b1
∆ÛˇTƒÊ˝$ Á‹“$Mʸ∆Êˇ◊ÍÀ fô˲ a1x + b1y + c1 = 0 –˲$«ƒÊ˝$$ a2x + b2y + c 2 = 0 ÀMʸ$ ≠ A∆ˇ$$Ø˲, A—?
a2 b2
(1) consistent (2) inconsistent

Á‹ÖVʸôÈÀ$ AÁ‹ÖVʸôÈÀ$
(3) dependent and consistent (4) None of these

Á≥∆ÊˇÁ‹µ∆Êˇ B´ßÈ«ôÈÀ$ –˲$«ƒÊ˝$$ Á‹ÖVʸôÈÀ$ Ú≥O–Û˛“ M>–˲#

9. The lines 2x + 3y − 9 = 0 and 4x + 6y − 18 = 0 are

2x + 3y − 9 = 0 –˲$«ƒÊ˝$$ 4x + 6y − 18 = 0 AØ˲$ ∆ÛˇQÀ$?

(1) intersecting lines (2) coinciding lines

QÖyÊ˛Ø˲ ∆ÛˇQÀ$ HMÓ¸øÊ˝—Ö^Û˛ ∆ÛˇQÀ$
(3) parallel lines (4) All of these

Á‹–˲*Öô˲∆Êˇ ∆ÛˇQÀ$ C–˲±≤

10. x − 4y − 14 = 0 and 5x − y − 13 = 0 will have

x − 4y − 14 = 0 –˲$«ƒÊ˝$$ 5x − y − 13 = 0 ÀMʸ$?

(1) unique solution (2) no solution

HM¸OMʸ ›Î´ßÊ˛Ø˲ ›Î´ßÊ˛Ø˲ –˲#ÖyÊ˛ßÊ˛$
(3) infinite number of solutions (4) None of these

AØ˲Öô˲ ›Î´ßÊ˛Ø˲À$ H® M>ßÊ˛$

11. The solution of x − 2y = 0 and 3x + 4y − 20 = 0 is
x − 2y = 0 –˲$«ƒÊ˝$$ 3x + 4y − 20 = 0 ÀMʸ$ ›Î´ßÊ˛Ø˲?

(1) x = 2, y = 4 (2) x = 4, y = 2

(3) x = −2, y = 4 (4) x = 2, y = −4

/5— A [3] [ P.T.O.

12. The product of Karan’s age five years ago and his age after 9 years from now is 32.
This is represented by the quadratic equation
A∆ˇ$$ßÊ˛$ Á‹Ö–˲ô˲fi∆Êˇ–˲$$À {MϸôË˛Ö Mʸ∆Êˇ◊ä˝ –˲ƒÊ˝$Á‹$fi –˲$«ƒÊ˝$$ CÁ≥µsÏ˝ Ø˲$ÖyÏ˛ 9 Á‹Ö–˲ô˲fi∆>À ô˲∆Êˇ$–Èô˲ Mʸ∆Êˇ◊ä˝ –˲ƒÊ˝$Á‹$fiÀ À∫™Ö
32. A∆ˇ$$Ø˲ ®∞∞ Á‹*_Ö^˲$ –˲∆ÊˇY Á‹“$Mʸ∆Êˇ◊˝Ö?
(1) x 2 + 4x + 77 = 0 (2) x 2 − 4x + 77 = 0
(3) x 2 + 4x − 77 = 0 (4) x 2 − 4x − 77 = 0

13. The roots of the equation 6x 2 − x − 2 = 0 are
6x 2 − x − 2 = 0 ƒÒ˝$$MʸP –˲$*ÃÍÀ$
2 −1 −2 1
(1) , (2) ,
3 2 3 2
−2 −1 2 1
(3) , (4) ,
3 2 3 2

14. The equation 3x 2 − 5x + 2 = 0 has
3x 2 − 5x + 2 = 0 Ø˲Mʸ$ :
(1) two real and unequal roots (2) two real and equal roots
∆ˇÖyÊ˛$ –Û˛∆Ûˇ”∆Êˇ$ –ÈÁ‹¢–˲ –˲$*ÃÍÀ$ ∆ˇÖyÊ˛$ Á‹–˲*Ø˲ –ÈÁ‹¢–˲ –˲$*ÃÍÀ$
(3) no real roots (4) None of these
–ÈÁ‹¢–˲ –˲$*ÃÍÀ$ ÃÙ˝–˲# Ú≥O–Û˛“ M>–˲#

15. Find two numbers whose sum is 27 and product is 182.
∆ˇÖyÊ˛$ Á‹ÖQ≈À –˛$$ô˲¢Ö 27 –˲$«ƒÊ˝$$ À∫™Ö 182, A∆ˇ$$Ø˲ B Á‹ÖQ≈À$
(1) 13, 12 (2) 13, 14
(3) 15, 12 (4) 11, 16

16. Each one of 100 boxes is filled with 50 one-rupee coins on first day and 25 more
coins are added every next day. The Arithmetic Progression (AP) representing this
situation is
100 Ú≥sÒ˝tÀÃZ {Á≥° Ú≥sÒ˝tÃZ 50 ∆Êˇ*¥Î∆ˇ$$ ØÈ◊Ù˝À$ –Û˛‘>∆Êˇ$. –˲$∆Êˇ$Á‹sÏ˝ ∆¯kØ˲$ÖyÓ˛ {Á≥°∆¯k –˲$∆¯ 25 ∆Êˇ*¥Î∆ˇ$$ ØÈ◊Ù˝À$
GMʸ$P–˲ –Û˛Ì‹Ø˲^¯, D Á≥«Ì‹¶Ü∞ ô˛Õı≥ AÖMʸ{‘Û˝…Ï˛?
(1) 100, 50, 25, 10, .... (2) 50, 25, 25, 25, ....
(3) 50, 75, 100, 125, .... (4) 50, 25, 75, 100, ....

/5— A [4]

17. Common difference of the AP 3, 1, –1, –3, … is
3, 1, –1, –3, … AÖMʸ{‘Û˝…Ï˛Mϸ ›Î–˲*Ø˲≈ªÙ˝ßÊ˛–˲$$?

(1) 1 (2) –2
(3) –1 (4) 2

18. Tenth term of the AP 1, –1, –3, –5, … is
AÖMʸ{‘Û˝…Ï˛ 1, –1, –3, –5, … ÃZ Á≥ßÊ˛–˲ Á≥ßÊ˛–˲$$?
(1) –15 (2) –17
(3) –13 (4) –10

19. The sum of the first 22 terms of the AP 8, 3, –2, … is
AÖMʸ{‘Û˝…Ï˛ 8, 3, –2, … –˛$$ßÊ˛sÏ˝ 22 Á≥ßÊ˛–˲$$À –˛$$ô˲¢–˲$$?
(1) –979 (2) 979
(3) 1028 (4) –1028

20. D and E are the midpoints of sides AB and AC of a triangle ABC respectively and
BC =10 cm. If DE
BC , then the length of DE is

ABC {ÜøÊ˝$f–˲$$ÃZ, øÊ˝$f–˲$$À$ AB –˲$«ƒÊ˝$$ AC ÀMʸ$ –˲$´ßÊ˛≈ ºÖßÊ˛$–˲#À$ –˲∆Êˇ$Á‹V> D –˲$«ƒÊ˝$$ E . BC =10 Ú‹Ö.“$
–˲$«ƒÊ˝$$ DE
BC A∆ˇ$$Ø˲ DE ƒÒ˝$$MʸP ¥˜yÊ˛–˲#?
(1) 3 cm (2) 5 cm
3 Ú‹Ö.“$ 5 Ú‹Ö.“$

(3) 4 cm (4) 6 cm
4 Ú‹Ö.“$ 6 Ú‹Ö.“$

21. Which of the following are not similar figures?
{Mϸ֮ –È∞ÃZ Á‹∆Êˇ*Á≥–˲$À$ M>∞—?
(1) Circles (2) Squares
–˲ñô˲¢–˲$$À$ ^˲ô˲$∆Êˇ{›ÎÀ$
(3) Isosceles triangles (4) Equilateral triangles
Á‹–˲$®”ªÍÁfl˝$ {ÜøÊ˝$f–˲$$À$ Á‹–˲$ªÍÁfl˝$ {ÜøÊ˝$f–˲$$À$

/5— A [5] [ P.T.O.

22. ∆ODC ~ ∆OBA and ∠BOC = 125º , then ∠DOC = ?
∆ODC ~ ∆OBA –˲$«ƒÊ˝$$ ∠BOC = 125º , A∆ˇ$$Ø˲ ∠DOC = ?
D C

O 125º

A B
(1) 60° (2) 55°
(3) 50° (4) 65°

p 
23. If M  , 4  is the midpoint of the line segment joining A(−6,5) and B (−4,3), then p = ?
3 
ºÖßÊ˛$–˲#À$ A(−6,5) –˲$«ƒÊ˝$$ B (−4,3) ÀØ˲$ MʸÀ$Á≥# ∆ÛˇRÍ QÖyÊ˛–˲$$Ø˲Mʸ$ –˲$´ßÊ˛≈ ºÖßÊ˛$–˲# M  p , 4  A∆ˇ$$Ø˲^¯,
3 
p=?

(1) –10 (2) –8
(3) –9 (4) –15

24. The distance between the points (2, 3) and (4,1) is
ºÖßÊ˛$–˲#À$ (2, 3) –˲$«ƒÊ˝$$ (4,1)À –˲$´ßÊ˛≈ ßÊ˛*∆ÊˇÖ?
(1) 2 2 (2) 2

(3) 2 (4) 2 3

25. The coordinates of the point P (x , y ) which divides the line segment joining the
points A(x1, y1 ) and B (x 2 , y2 ) internally in the ratio m1 : m2 are

A(x1, y1 ) –˲$«ƒÊ˝$$ B (x 2 , y2 ) ÀØ˲$ MʸÀ$Á≥# ∆ÛˇRÍQÖyÊ˛–˲$$Ø˲$ P (x , y ) AØ˲$ ºÖßÊ˛$–˲# AÖô˲∆ÊˇYô˲ÖV> m1 : m2 ∞ÁŸµÜ¢ÃZ
QÖyÏ˛Ö^˲$^˲$Ø˲≤^¯, B ºÖßÊ˛$–˲# ∞∆Êˇ*Á≥M>À$?
 m1x1 + m2x 2 m1y1 + m2y2   m1x 2 + m2x1 m1y2 + m2y1 
 m + m , ,
  m + m 
(1) (2)
1 2 m +m 1 2 1 2 m +m 1 2

 m1x 2 − m2 x1 m1y2 − m2y1   m1x 2 − m2x1 m1y2 − m2y1 
 m + m , ,
  m − m 
(3) (4)
1 2 m +m 1 2 1 2 m −m 1 2

/5— A [6]

26. The points (1, 5), (2, 3) and (–2, –11) form a
ºÖßÊ˛$–˲#À$ (1, 5), (2, 3) –˲$«ƒÊ˝$$ (–2, –11) H∆Êˇµ∆Êˇ^˲$Ø˲®?
(1) triangle (2) parallelogram
{ÜøÊ˝$fÖ Á‹–˲*Öô˲∆Êˇ ^˲ô˲$∆Êˇ$¬fÖ
(3) square (4) They are collinear
^˲ô˲$∆Êˇ{Á‹Ö A— Á‹∆ÛˇTƒÊ˝$–˲$$À$

27. If 15 cot A = 8 , then sin A = ?
15 cot A = 8 A∆ˇ$$Ø˲^¯ sin A = ?
8 15
(1) (2)
15 17
17 8
(3) (4)
15 17

2 tan 30°
28. =?
1 + tan2 30°
(1) sin 60° (2) tan 60°
(3) sin 30° (4) cot 60°

29. (sec A + tan A )(1 − sin A ) = ?
(1) sin A (2) cos A
(3) cosec A (4) sec A

30. Which of the following is true?
{Mϸ֮ –È∞ÃZ H® ∞fÖ?
(1) sin( A + B ) = sin A + sin B

(2) The value of sin θ increases as θ increases, 0 ≤ θ ≤ 90º
θ Ú≥∆Êˇ$Vʸ$ô˲$Ø˲≤ Mˆ©™ sin θ —À$–˲ Ú≥∆Êˇ$Vʸ$Ø˲$, 0 ≤ θ ≤ 90º
(3) The value of cos θ increases as θ increases, 0 ≤ θ ≤ 90º
θ Ú≥∆Êˇ$Vʸ$ô˲$Ø˲≤ Mˆ©™ cos θ —À$–˲ Ú≥∆Êˇ$Vʸ$Ø˲$, 0 ≤ θ ≤ 90º

(4) sin θ = cos θ for all values of θ
A∞≤ θ —À$–˲ÀMʸ*, sin θ = cos θ

/5— A [7] [ P.T.O.

31. The angle formed by the line of sight with the horizontal when it is above the
horizontal level is
ÑϸÜf Á‹–˲*Öô˲∆Êˇ ∆ÛˇQMʸ$ GVʸ$–˲Ø˲$EØ˲≤ –˲Á‹$¢–˲#Ø˲$ ^˲*ı‹ Á‹ÖßÊ˛∆Êˇ¬ÖÃZ, ßÊ˛ñÌŸt∆ÛˇQ ÑϸÜf∆ÛˇQÃZ ^Û˛ı‹ M¯◊˝Ö?
(1) angle of elevation (2) angle of depression
F∆Êˇ¶” M¯◊˝Ö ∞–˲$≤ M¯◊˝Ö
(3) right angle (4) None of these
ÀÖ∫ M¯◊˝Ö Ú≥O–Û˛“ M>–˲#

32. A ladder is leaned against a wall with angle of 60° with the ground and its foot is
6 feet away from the wall, then the length of the ladder is
JMʸ ∞^˛aØ˲ ∫Mʸ V¯yÊ˛Mʸ$ –ÈÕa EØ˲≤®. B ∞^˛aØ˲ {Mϸ֮øÍVÊ¸Ö V¯yÊ˛ Ø˲$ÖyÏ˛ 6 AyÊ˛$Vʸ$À ßÊ˛*∆ÊˇÖÃZ EØ˲≤® –˲$«ƒÊ˝$$ ÑϸÜf
∆ÛˇQÃZ 60° M¯◊˝Ö ^Û˛Á‹$¢Ø˲≤®, A∆ˇ$$Ø˲ B ∞^˛aØ˲ ¥˜yÊ˛–˲#?
(1) 12 feet (2) 36 feet
12 AyÊ˛$Vʸ$À 36 AyÊ˛$Vʸ$À
(3) 6 feet (4) 24 feet
6 AyÊ˛$Vʸ$À 24 AyÊ˛$Vʸ$À

33. Two cars are seen from the top of a tower of height 75 m with angles of depression
30° and 45° respectively. The distance between the cars if they are on either side
of the tower on the same line with the tower is
75 “$ Gô˲$¢VʸÀ JMʸ r–˲∆Êˇ$ Ú≥O øÍVÊ¸Ö Ø˲$ÖyÏ˛ B r–˲∆Êˇ$Mʸ$ C∆Êˇ$–˛OÁ≥#ÃÍ r–˲∆Êˇ$ô¯ JMÛ¸∆ÛˇQÚ≥O EØ˲≤ ∆ˇÖyÊ˛$ M>∆ÊˇœØ˲$ 30° –˲$«ƒÊ˝$$
45° ∞–˲$≤ M¯◊ÍÀô¯ Á≥«÷ÕÖ_Ø˲, B ∆ˇÖyÊ˛$ M>∆Êˇœ –˲$´ßÊ˛≈ ßÊ˛*∆ÊˇÖ?

(1) 75( 3 + 1) m (2) 75( 3 − 1) m

(3) 75( 3 + 1) m (4) 75( 3 − 1) m

34. The number of tangents a circle can have from a point outside the circle is
–˲ñô˲¢ ªÍÁfl˝≈ÖÃZ VʸÀ Hß˛OØ˲ ºÖßÊ˛$–˲# Ø˲$ÖyÏ˛ B –˲ñôÈ¢∞Mϸ XƒÊ˝$VʸÀ Á‹µ∆Êˇÿ∆ÛˇQÀ Á‹ÖQ≈?
(1) one (2) two
JMʸsÏ˝ ∆ˇÖyÊ˛$
(3) three (4) four
–˲$*yÊ˛$ ØÈÀ$Vʸ$

/5— A [8]

35. The angle made by the tangent at any point of circle with the radius at the point of
contact is
JMʸ –˲ñô˲¢–˲$$ Ú≥O VʸÀ Hß˛OØÈ ºÖßÊ˛$–˲# Vʸ$ÖyÈ XƒÊ˝$∫yÏ˛Ø˲ Á‹µ∆Êˇÿ∆ÛˇQ, B Á‹µ∆Êˇÿ ºÖßÊ˛$–˲# –˲ßÊ˛™ –È≈›Î∆Êˇ¶–˲$$ô¯ ^Û˛ƒÊ˝$$ M¯◊˝–˲$$?
(1) 0° (2) 45°

(3) 60° (4) 90°

36. A tangent PQ at a point P of a circle of radius 9 cm meets a line through the centre
O at a point Q so that OQ = 15 cm. The length of PQ is
9 Ú‹Ö. “$ –È≈›Î∆Êˇ¶–˲$$V> VʸÀ –˲ñôÈ¢∞≤ PQ Á‹µ∆Êˇÿ∆ÛˇQ P –˲ßÊ˛™ ôÈMϸ֮. –˲ñô˲¢MÛ¸Ö{ßÊ˛Ö O Ø˲$ÖyÏ˛ ºÖßÊ˛$–˲# Q Mʸ$ VʸÀ ßÊ˛*∆ÊˇÖ,
OQ = 15 Ú‹Ö.“$ A∆ˇ$$Ø˲ PQ ¥˜yÊ˛–˲#?
(1) 12 cm (2) 13 cm
12 Ú‹Ö.“$ 13 Ú‹Ö.“$
(3) 24 cm (4) 25 cm
24 Ú‹Ö.“$ 25 Ú‹Ö.“$

37. Area of a sector of a circle with radius 4 cm and angle 30° is (use π = 3 .14 )
4 Ú‹Ö.“$ –È≈›Î∆Êˇ¶Ö, M¯◊˝–˲$$ 30°V> VʸÀ –˲ñô˲¢ {ÜgÍ≈Öô˲∆Êˇ –˛O‘>À≈–˲$$? ( π = 3 .14 )
(1) 4·08 cm2 (2) 4 cm2
4·08 Ú‹Ö.“$2 4 Ú‹Ö.“$2
(3) 4·18 cm2 (4) 41·8 cm2
4·18 Ú‹Ö.“$2 41·8 Ú‹Ö.“$2

38. Length of an arc of a sector of angle 45° when the radius of the circle is 3 cm, is
3 Ú‹Ö.“$ –È≈›Î∆Êˇ¶–˲$, 45° M¯◊˝Ö MʸÕWØ˲ –˲ñô˲¢ {ÜgÍ≈Öô˲∆Êˇ ^ÈÁ≥–˲$$ ¥˜yÊ˛–˲#?

5π 3π
(1) cm (2) cm
4 4
5π 3π
4
Ú‹Ö.“$ 4
Ú‹Ö.“$
π
(3) π cm (4) cm
2
π
π Ú‹Ö.“$ Ú‹Ö.“$
2

/5— A [9] [ P.T.O.

39. Area of minor segment if a chord of a circle of radius 10 cm subtends a right angle
at the centre is (use π = 3 .14)
10 Ú‹Ö.“$ –È≈›Î∆Êˇ¶–˲$$ VʸÀ –˲ñô˲¢Ö ƒÒ˝$$MʸP JMʸ gÍ≈ MÛ¸Ö{ßÊ˛Ö –˲ßÊ˛™ ÀÖ∫M¯◊˝Ö ^Û˛ƒÊ˝$$ ^˲$Ø˲≤®. A∆ˇ$$Ø˲ AÀµ –˲ñô˲¢ QÖyÊ˛Á≥#
–˛O‘>À≈Ö? ( π = 3 .14 )
(1) 28 cm2 (2) 28·5 cm2
28 Ú‹Ö.“$2 28·5 Ú‹Ö.“$2
(3) 27 cm2 (4) 27·5 cm2
27 Ú‹Ö.“$2 27·5 Ú‹Ö.“$2

40. A toy is in the form of a cone of radius r and lateral height l mounted on a
hemisphere of same radius and the total height of the toy is h, then the total
surface area of the toy is
JMʸ A∆ÊˇÆV¯‚Ê˝Ö Ú≥O AÖôÛ˛ –È≈›Î∆Êˇ¶ÖMʸÀ ‘Ë˝ÖMʸ$–˲# A–˲$∆Êˇa∫yÏ˛Ø˲ B M>∆ÊˇÖÃZ JMʸ ªü–˲$√ EÖ®. ‘Ë˝ÖMʸ$–˲# –È≈›Î∆Êˇ¶Ö r, ¥Î∆Êˇÿ¸”Á≥#
Gô˲$¢ l –˲$«ƒÊ˝$$ –˛$$ô˲¢Ö ªü–˲$√ Gô˲$¢ h A∆ˇ$$ôÛ˛, B ªü–˲$√ EÁ≥«ô˲∆Êˇ –˛O‘>À≈Ö?
(1) πr (2r + l ) (2) 2 πr + l
(3) πr 2l (4) πr 2h

41. A model is made with two cones each of height 2 cm attached to the two ends of a
cylinder. The diameter of the model is 3 cm and its length is 12 cm. Then the
22
volume of the model is (use π = )
7
JMʸ Á‹*¶Á≥Á≥# ∆ˇÖyÊ˛$ MˆØ˲ÀMʸ*, 2 Ú‹Ö.“$ Gô˲$¢ VʸÀ ∆ˇÖyÊ˛$ ‘Ë˝ÖMʸ$–˲#ÀØ˲$ AÜMϸÖ_ JMʸ Ø˲–˲$*ØÈØ˲$ °ƒÊ˝*∆Êˇ$ ^Û˛‘>∆Êˇ$. B
22
Ø˲–˲$*ØÈ –È≈Á‹Ö 3 Ú‹Ö.“$ Mʸ$«ƒÊ˝$$ ¥˜yÊ˛–˲# 12 Ú‹Ö.“$ A∆ˇ$$Ø˲ ßÈ∞ Áú$Ø˲Á≥«–˲*◊˝Ö? ( π = 7 )
(1) 24 cm3 (2) 36 cm3
24 Ú‹Ö.“$3 36 Ú‹Ö.“$3
(3) 72 cm3 (4) 66 cm3
72 Ú‹Ö.“$3 66 Ú‹Ö.“$3

42. The mode and mean of a data are 7 and 5 respectively, then median is
JMʸ ßÊ˛ôÈ¢Ö‘Ë˝Á≥# ªÍÁfl˝$‚Ê˝Mʸ–˲$$ 7 –˲$«ƒÊ˝$$ Á‹Vʸr$ 5 A∆ˇ$$Ø˲ –˲$´ßÊ˛≈Vʸô˲Á≥# —À$–˲?
17
(1) 12 (2)
3
2
(3) 4 (4)
3

/5— A [ 10 ]

43. If assumed mean of a data is 47·5,  f i di = 435 and  f i = 30 , then mean of that
data is
JMʸ ßÊ˛ôÈ¢Ö‘Ë˝–˲$$ÃZ, FÌfl˝Ö_Ø˲ Á‹Vʸr$ 47·5,  f i di = 435 –˲$«ƒÊ˝$$  f i = 30 A∆ˇ$$Ø˲^¯, B ßÊ˛ôÈ¢Ö‘Ë˝–˲# Á‹Vʸr$?
(1) 42 (2) 52
(3) 62 (4) 72

44. The cumulative frequency of a class is the frequency obtained by
JMʸ ô˲∆ÊˇVÊ¸Ü ƒÒ˝$$MʸP Á‹Ö_ô˲ ¥˚Ø˲@ Á≥#Ø˲≈Ö CÃÍ Vʸ◊Ï˝Ö^˲ –˲^˲$a?
(1) adding the frequencies of all the classes preceding the given class
B ô˲∆ÊˇVÊ¸Ü Mϸ –˲$$ÖßÊ˛$ ô˲∆ÊˇVʸô˲$À ¥˚Ø˲@ Á≥#ØÈ≈ÀØ˲$ MʸÀ$Á≥#r
(2) adding the frequencies of all the classes succeeding the given class
B ô˲∆ÊˇVÊ¸Ü ô˲∆Êˇ$–Èô˲ ô˲∆ÊˇVʸô˲$À ¥˚Ø˲@ Á≥#ØÈ≈ÀØ˲$ MʸÀ$Á≥#r
(3) subtracting the frequencies of all the preceding classes from one another
B ô˲∆ÊˇVʸÜMϸ–˲$$ÖßÊ˛$ ô˲∆ÊˇVʸô˲$À ¥˚Ø˲@ Á≥#ØÈ≈ÀØ˲$ °Ì‹ –Û˛ƒÊ˝$$r
(4) None of the above
Ú≥O–Û˛“ M>–˲#

45. Formula for finding mode for grouped data is
–˲»YMʸñô˲ ßÊ˛ôÈ¢Ö‘Ë˝–˲$$Ø˲Mʸ$ ªÍÁfl˝$‚Ê˝Mʸ–˲$$Ø˲$ MʸØ˲$VˆØ˲$ Á‹*{ô˲–˲$$?
 f1 − f 0   f1 − f 0 
(1) l+  ×h (2) l−  ×h
 2 f1 − f 0 − f 2   2 f1 − f 0 − f 2 
 f1 − f 0 
(3) l−  −h (4) None of these
 2 f1 − f 0 − f 2 

H© M>ßÊ˛$

46. Which of the following cannot be a probability?
{Mϸ֮ –È∞ÃZ Á‹Öø͖˲≈ô˲ M>∞®?
2
(1) (2) 15%
3
(3) 0·7 (4) –1·5

/5— A [ 11 ] [ P.T.O.

47. P (E ) =

(1) 1 − P (E ) (2) 1 + P (E )

(3) P (E ) − 1 (4) None of these

Ú≥O–Û˛“ M>–˲#

48. Which of the following has equally likely outcomes?

{Mϸ֮ –È∞ÃZ Á‹–˲$Á‹Öø͖˲≈ô˲ Á≥∆Êˇ≈–˲›ÎØÈÀ$ MʸÕWØ˲®?
(1) Tossing a coin
JMʸ ØÈ◊Ò˝–˲$$À$ GVʸ$∆Êˇ–Û˛ƒÊ˝$$r
(2) Tossing two coins simultaneously
∆ˇÖyÊ˛$ ØÈ◊Ò˝–˲$$ÀØ˲$ JMÛ¸›Î« GVʸ$∆Êˇ–Û˛ƒÊ˝$$r
(3) Rolling two dice
∆ˇÖyÊ˛$ ¥Î_MʸÀØ˲$ ߈«œÖ^˲$r
(4) All of the above
Ú≥O–˲∞≤ƒÊ˝$*

49. A card is drawn from a set of 52 cards. The probability of getting a queen card is
52 ı≥Mʸ–˲$$MʸPÀ Ø˲$ÖyÏ˛ JMʸ M>∆Êˇ$z ∫ƒÊ˝$rMʸ$ °Ì‹Ø˲^¯, A® ∆>◊Ï˝ M>∆Êˇ$z AVʸ$rMʸ$ Á‹Öø͖˲≈ô˲?

4 1
(1) (2)
53 26

1 4
(3) (4)
13 13

50. Ram and Syam are friends. Probability that both will have same birthday is

∆>–˲$$ –˲$«ƒÊ˝$$ ‘>≈–˲$$ ı≥≤Ìfl˝ô˲$À$. –È«ßÊ˛™« Á≥#rtØ˲∆¯kÀ$ JMʸsÙ˝ ∆¯k AVʸ$rMʸ$ VʸÀ Á‹Öø͖˲≈ô˲?
364 1
(1) (2)
365 365

1 363
(3) (4)
364 365

/5— A [ 12 ]

SECTION—II : PHYSICS

51. The image formed by a plane mirror is always
Á‹–˲$ô˲À ßÊ˛∆Êˇµ◊˝Ö ßÈ”∆> H∆ÊˇµyÊ˛$ {Á≥ܺÖ∫Ö GÀœÁ≥#yÊ˛* EÖyÛ˛ —´ßÈØ˲Ö
(1) virtual and erect (2) virtual and inverted
—$£È≈{Á≥ܺÖ∫Ö –˲$«ƒÊ˝$$ ∞sÍ∆Êˇ$V> —$£È≈{Á≥ܺÖ∫Ö –˲$«ƒÊ˝$$ ô˲À{MϸÖßÊ˛$À$V>
(3) real and erect (4) real and inverted
∞f{Á≥ܺÖ∫Ö –˲$«ƒÊ˝$$ ∞sÍ∆Êˇ$V> ∞f{Á≥ܺÖ∫Ö –˲$«ƒÊ˝$$ ô˲À{MϸÖßÊ˛$À$V>

52. The distance between the pole and the principal focus of a spherical mirror is
called
V¯‚ÍM>∆Êˇ ßÊ˛∆Êˇµ◊˝–˲$$ ƒÒ˝$$MʸP ´ßÊ˛ñ–È∞Mϸ –˲$«ƒÊ˝$$ {Á≥´ßÈØ˲ ØÈ¿Mϸ –˲$´ßÊ˛≈VʸÀ ßÊ˛*∆ÊˇÖ
(1) image distance (2) object distance
{Á≥ܺÖ∫ ßÊ˛*∆ÊˇÖ –˲Á‹$¢ ßÊ˛*∆ÊˇÖ
(3) focal length (4) radius of curvature
ØÈøÊ˝≈Öô˲∆Êˇ–˲$$ –˲{MʸôÈ –È≈›Î∆Êˇ¶Ö

53. A diminished, virtual and erect image is formed by a
D {Mϸ֮ –ÈsÏ˝ÃZ _Ø˲≤ß˛OØ˲, —$´£È≈ –˲$«ƒÊ˝$$ ∞sÍ∆Êˇ$ {Á≥ܺÖ∫Ö H∆Êˇµ∆Êˇ$^˲$ Ø˲® H®?
(1) concave mirror (2) convex mirror
Á≥#sÍM>∆Êˇ ßÊ˛∆Êˇµ◊˝Ö Mʸ$ÖøÍM>∆Êˇ ßÊ˛∆Êˇµ◊˝Ö
(3) plane mirror (4) planoconcave mirror
Á‹–˲$ô˲À ßÊ˛∆Êˇµ◊˝Ö˛ Á‹–˲$ô˲À Á≥#sÍM>∆Êˇ ßÊ˛∆Êˇµ◊˝Ö

54. The mirror used by a dentist to see large image of the teeth of the patients is
ßÊ˛Öô˲ –˛OßÊ˛$≈À$ ∆¯Vʸ$À ßÊ˛ÖôÈÀ {Á≥֪ܺÍÀØ˲$ Ú≥ßÊ˛™—V> ^˲*yÊ˛sÍ∞Mϸ EÁ≥ƒÒ˝*WÖ^˲$ ßÊ˛∆Êˇµ◊˝Ö˛
(1) concave mirror (2) covex mirror
Á≥#sÍM>∆Êˇ ßÊ˛∆Êˇµ◊˝Ö Mʸ$ÖøÍM>∆Êˇ ßÊ˛∆Êˇµ◊˝Ö
(3) plane mirror (4) plano-convex mirror
Á‹–˲$ô˲À ßÊ˛∆Êˇµ◊˝Ö Á‹–˲$ô˲À Mʸ$ÖøÍM>∆Êˇ ßÊ˛∆Êˇµ◊˝–˲$$
SPACE FOR ROUGH WORK /_ô˲$¢≥ Á ∞Mϸ ‹Á À¶ Ö

/5— A [ 13 ] [ P.T.O.

55. A ray of light travelling in air enters obliquely into water
V>ÕÃZ {Á≥ƒÊ˝*◊Ï˝Á‹$¢Ø˲≤ JMʸ M>ÖÜ Mϸ∆Êˇ◊˝Ö –ÈÀ$V> ±sÏ˝ÃZ∞Mϸ {Á≥–Û˛’Ö_Ø˲Á≥#yÊ˛$ B M>ÖÜ Mϸ∆Êˇ◊˝Ö
(1) bends away from the normal
ÀÖªÍ∞Mϸ ßÊ˛*∆ÊˇÖV> –˲ÖVʸ$ô˲$Ö®
(2) passes through the normal at the surface of separation
V>Õ&±sÏ˝ ƒÊ˝*Ø˲M>ÀØ˲$ –Û˛∆Êˇ$ ^Û˛ƒÊ˝$$ EÁ≥«ô˲À Á‹«Áfl˝ßÊ˛$™ –˲ßÊ˛™ ÀÖ∫Ö ßÈ”∆> {Á≥ƒÊ˝*◊Ï˝Á‹$¢Ö®
(3) bends towards the normal
ÀÖªÍ∞Mϸ ßÊ˛VʸY∆ÊˇV> –˲ÖVʸ$ô˲$Ö®
(4) travels straight without bending
Gr$–˛OÁ≥# –˲ÖVʸMʸ$ÖyÈ ÜØ˲≤V> {Á≥ƒÊÊ˝*◊Ï˝Á‹$¢Ö®

56. The focal length of a spherical mirror is 10 cm. Its radius of curvature is
JMʸ V¯‚ÍM>∆Êˇ ßÊ˛∆Êˇµ◊˝Ö ƒÒ˝$$MʸP ØÈøÊ˝≈Öô˲∆ÊˇÖ 10 Ú‹Ö.“$ A∆ˇ$$ôÛ˛ B ßÊ˛∆Êˇµ◊˝Ö ƒÒ˝$$MʸP –˲{MʸôÈ–È≈›Î∆Êˇ¶Ö
(1) 10 cm (2) 5 cm
10 Ú‹Ö.“$ 5 Ú‹Ö.“$
(3) 20 cm (4) 0·2 cm
20 Ú‹Ö.“$ 0·2 Ú‹Ö.“$

57. An object placed between the principal focus and center of curvature of a convex
lens forms an image
JMʸ –˲Á‹$¢–˲#Ø˲$ Mʸ$ÖøÍM>∆Êˇ MʸrMÊ¸Ö ƒÒ˝$$MʸP {Á≥´ßÈØ˲ ØÈ¿Mϸ –˲$«ƒÊ˝$$ –˲{MʸôÈ MÛ¸Ö{ßÈ∞Mϸ –˲$´ßÊ˛≈ EÖ_Ø˲Á≥#yÊ˛$ {Á≥ܺÖ∫Ö H∆ÊˇµyÊ˛$
›Î¶Ø˲Ö
(1) beyond the center of curvature
–˲{MʸôÈ MÛ¸Ö{ßÈ∞Mϸ A–˲ô˲À –˛OÁ≥#
(2) at infinity
AØ˲Öô˲ ßÊ˛*∆ÊˇÖÃZ
(3) at the principal focus
{Á≥´ßÈØ˲ ØÈ¿–˲ßÊ˛™
(4) between principal focus and center of curvature
{Á≥´ßÈØ˲ ØÈ¿Mϸ –˲$«ƒÊ˝$$ –˲{MʸôÈ MÛ¸Ö{ßÈ∞Mϸ –˲$´ßÊ˛≈

/5— A [ 14 ]

58. The power of a lens is 4 D. Its focal length is
JMʸ MʸrMÊ¸Ö ƒÒ˝$$MʸP ›Î–˲$∆Êˇ¶≈Ö 4 D A∆ˇ$$Ø˲–˲#yÊ˛$ B MʸrMÊ¸Ö ƒÒ˝$$MʸP ØÈøÊ˝≈Öô˲∆ÊˇÖ —À$–˲
(1) 0·25 cm (2) 2·5 cm
0·25 Ú‹Ö.“$ 2·5 Ú‹Ö.“$
(3) 25 cm (4) 0·025 cm
25 Ú‹Ö.“$ 0·025 Ú‹Ö.“$

59. If the height of the image is equal to the height of an object placed near a spherical
lens, then the magnification m is
JMʸ V¯‚ÍM>∆Êˇ MʸrMʸ–˲$$ –˲ßÊ˛™ EÖ^˲∫yÏ˛Ø˲ –˲Á‹$¢–˲# ƒÒ˝$$MʸP Gô˲$¢ –˲$«ƒÊ˝$$ ßÈ∞ {Á≥ܺÖ∫ Gô˲$¢ Á‹–˲*Ø˲–˲$$V> EØ˲≤Á≥#yÊ˛$, B
MʸrMÊ¸Ö ƒÒ˝$$MʸP m B–˲∆ÊˇÆØË˛Ö —À$–˲?
(1) less than 1 (2) greater than 1
JMʸsÏ˝ MʸÖsÙ˝ ô˲Mʸ$P–˲ JMʸsÏ˝ MʸÖsÙ˝ GMʸ$P–˲˝
(3) equal to 1 (4) equal to zero
JMʸsÏ˝Mϸ Á‹–˲*Ø˲–˲$$ Á‹$ØÈ≤Mϸ Á‹–Ë˲*Ø˲–˲$$˝

60. An object is placed at a distance of 30 cm from a concave lens of focal length
20 cm. The image distance is
20 Ú‹Ö.“$ ØÈøÊ˝≈Öô˲∆ÊˇÖ VʸÀ JMʸ Á≥#sÍM>∆Êˇ MʸrMÊ¸Ö –˲ßÊ˛™ 30 Ú‹Ö.“$ ßÊ˛*∆ÊˇÖÃZ JMʸ –˲Á‹$¢–˲#Ø˲$ EÖ_Ø˲Á≥#yÊ˛$ H∆ÊˇµyÊ˛$ {Á≥ܺÖ∫Ö
ƒÒ˝$$MʸP ßÊ˛*∆Êˇ–˲$$
(1) 75 cm (2) 60 cm
75 Ú‹Ö.“$ 60 Ú‹Ö.“$
(3) 12 cm (4) 50 cm
12 Ú‹Ö.“$ 50 Ú‹Ö.“$

61. The delicate membrane having enormous number of light sensitive cells is
AÁ‹ÖRÍ≈Mʸ–˛$OØ˲ M>ÖÜ {V>Áfl˝Mʸ Mʸ◊ÍÀØ˲$ MʸÕW EÖyÛ˛ Á‹$∞≤ô˲–˛$OØ˲ ¥˜∆Êˇ
(1) optic nerve (2) retina
ßÊ˛ñMä¸ ØÈyÏ˛ ∆ˇsÓ˝ØÈ
(3) pupil (4) cornea
ôÈ∆ÊˇMʸ ‘Ë˝$MʸœÁ≥rÀÖ

/5— A [ 15 ] [ P.T.O.

62. The amount of light entering the eye is regulated and controlled by the
MʸÖsÏ˝ÃZ∞Mϸ {Á≥–Û˛’Ö^Û˛ M>ÖÜ –˛$$ôÈ¢∞≤ ∞ƒÊ˝$Ö{ÜÖ^Û˛®
(1) pupil (2) optical nerve
ôÈ∆ÊˇMʸ ßÊ˛ñMä¸ ØÈyÏ˛
(3) retina (4) ciliary muscles
∆ˇsÓ˝ØÈ Ì‹ÕƒÊ˝$» MʸÖyÊ˛∆>À$
63. The minimum distance at which the objects can be seen most distinctly without
strain is called
–˲Á‹$¢–˲#ÀØ˲$ Gr$–˲ÖsÏ˝ JÜ¢yÏ˛ ÃÙ˝Mʸ$ÖyÈ ^ÈÃÍ Á‹µÁŸtÖV> ^˲*yÊ˛VʸÕVÛ¸ ßÊ˛*∆Êˇ–˲$$ B MʸÖsÏ˝ ƒÒ˝$$MʸP
(1) far point of the eye (2) near point of the eye
Vʸ«ÁŸt ßÊ˛*∆Êˇ ºÖßÊ˛$–˲# Mʸ∞ÁŸt ßÊ˛*∆Êˇ ºÖßÊ˛$–˲#
(3) range of accommodation (4) power of accommodation
Á‹∆Êˇ$™ªÍr$ ßÊ˛*∆Êˇ–˲$$ Á‹∆Êˇ$™ªÍr$ ›Î–˲$∆Êˇ¶≈Ö
64. A person can see distant objects clearly but cannot see nearby objects distinctly.
The person is suffering from
JMʸ –˲≈Mϸ¢ ßÊ˛*∆ÊˇÖV> EØ˲≤ –˲Á‹$¢–˲#ÀØ˲$ Á‹µÁŸtÖV> ^˲*yÊ˛VʸÕWØ˲Á≥µsÏ˝MÓ¸ ßÊ˛VʸY∆ÊˇV> EØ˲≤ –˲Á‹$¢–˲#ÀØ˲$ Á‹µÁŸtÖV> ^˲*yÊ˛ÃÙ˝Mʸ ¥˘ô˲$Ø˲≤–˲#yÊ˛$.
B –˲≈Mϸ¢Mϸ VʸÀ ßÊ˛ñÌŸt ߯ÁŸÖ
(1) hypermetropia (2) myopia
©∆ÊˇÉ ßÊ˛ñÌŸt {Áfl˝Á‹” ßÊ˛ñÌŸt
(3) presbyopia (4) cataract
^˲ôÈ”∆ÊˇÖ MʸÖsÏ˝‘Ë˝$MʸœÖ
65. The defect myopia can be corrected by using a
{Áfl˝Á‹” ßÊ˛ñÌŸt ÃZ¥Î∞≤ Á‹« ^Û˛ƒÊ˝$$rMʸ$ EÁ≥ ƒÒ˝*WÖ^˲$ MʸrMʸÖ
(1) convex lens (2) concave lens
Mʸ$ÖøÍM>∆Êˇ MʸrMÊ¸Ö Á≥#sÍM>∆Êˇ MʸrMʸÖ
(3) bifocal lens (4) plano convex lens
®”ØÈøÊ˝≈Öô˲∆Êˇ MʸrMÊ¸Ö Á‹–˲$ô˲À Mʸ$ÖøÍM>∆Êˇ MʸrMʸÖ
66. The band of the coloured components of a light beam is called its
M>ÖÜ Á≥#ÖfÖ ƒÒ˝$$MʸP –˲∆Êˇ~ƒÊ˝$$ô˲ AÖ‘>À Á≥sÓ˝t∞ H–˲$ÖsÍ∆Êˇ$?
(1) refraction (2) dispersion
–˲{MÓ¸øÊ˝–˲ØË˛Ö M>ÖÜ —ÑÛ¸Á≥◊˝Ö
(3) scattering (4) spectrum
M>ÖÜÁ≥«ÑÛ¸Á≥◊˝Ö –˲∆Êˇ~Á≥rÖ

/5— A [ 16 ]

67. The formation of a rainbow in the sky involves
BM>‘Ë˝ÖÃZ CÖ{ßÊ˛´ßÊ˛Ø˲Á‹$fi H∆ÊˇµyÊ˛yÊ˛ÖÃZ {Á≥–Û˛$ƒÊ˝$–˲$$ MʸÕWØ˲—
(1) reflection, refraction, scattering
Á≥∆>–˲∆Êˇ¢Ø˲Ö, –˲{MÓ¸øÊ˝–˲Ø˲Ö, M>ÖÜ Á≥«ÑÛ¸Á≥◊˝Ö
(2) refraction, dispersion, reflection
–˲{MÓ¸øÊ˝–˲Ø˲Ö, M>ÖÜ —ÑÛ¸Á≥◊˝Ö, Á≥∆>–˲∆Êˇ¢Ø˲Ö
(3) refraction, scattering, dispersion
–˲{MÓ¸øÊ˝–˲Ø˲Ö, M>ÖÜ Á≥«ÑÛ¸Á≥◊˝Ö, M>ÖÜ —ÑÛ¸Á≥◊˝Ö
(4) dispersion, total internal reflection, scattering
M>ÖÜ —ÑÛ¸Á≥◊˝Ö, Á‹ÖÁ≥N∆>~Öô˲∆Êˇ Á≥∆>–˲∆Êˇ¢Ø˲Ö, M>ÖÜ Á≥«ÑÛ¸Á≥◊˝Ö

68. Advance sunrise and delayed sunset are due to
–˲$$ÖßÊ˛Á‹$¢ Á‹*∆¯≈ßÊ˛ƒÊ˝$Ö –˲$«ƒÊ˝$$ BÀÁ‹≈–˲$Vʸ$ Á‹*∆>≈Á‹¢–˲$ƒÊ˝$Ö f∆ÊˇVʸ yÈ∞Mϸ M>∆Êˇ◊˝Ö
(1) atmospheric refraction (2) atmospheric scattering
–ÈôÈ–Ë˛∆Êˇ◊˝ –˲{MÓ¸øÊ˝–˲ØË˛Ö –ÈôÈ–Ë˛∆Êˇ◊˝ Á≥«ÑÛ¸Á≥◊˝Ö
(3) atmospheric dispersion (4) atmospheric reflection
–ÈôÈ–Ë˛∆Êˇ◊˝ —ÑÛ¸Á≥◊˝Ö –ÈôÈ–Ë˛∆Êˇ◊˝ Á≥∆>–˲∆Êˇ¢Ø˲Ö

69. The blue colour of clear sky is due to
∞∆Êˇ√À–˛$OØ˲ B M>‘Ë˝Ö ±Õ∆ÊˇÖVʸ$ÃZ EÖyÊ˛ yÈ∞Mϸ M>∆Êˇ◊˝Ö
(1) dispersion of light (2) refraction of light
M>ÖÜ —ÑÛ¸Á≥◊˝Ö M>ÖÜ –˲{MÓ¸øÊ˝–˲Ø˲Ö
(3) scattering of light (4) reflection of light
M>ÖÜ Á≥«ÑÛ¸Á≥◊˝Ö M>ÖÜ Á≥∆>–˲∆Êˇ¢Ø˲Ö

70. If the speed of light in glass is 2 × 108 m/s and the speed of light in air is 3 × 108 m/s,
the refractive index of glass with respect to air is
V>kÃZ M>Öܖ˲yÏ˛ 2 × 108 “$/Ú‹ –˲$«ƒÊ˝$ V>ÕÃZ M>Öܖ˲yÏ˛ 3 × 108 “$/Ú‹ A∆ˇ$$Ø˲Á≥#yÊ˛$ V>k ƒÒ˝$$MʸP –˲{MÓ¸øÊ˝–˲Ø˲
Vʸ$◊˝Mʸ–˲$$ —À$–˲
(1) 6 (2) 1
(3) 1·5 (4) 5

/5— A [ 17 ] [ P.T.O.

71. A continuous and closed path of an electric current is called an
JMʸ A—_eØ˲≤ –˲$«ƒÊ˝$$ Á‹Ö–˲ñô˲ —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝ –Ë˲*∆>Y∞≤ H–˲$ÖsÍ∆Êˇ$?
(1) electric charge (2) electric conduction
—ßÊ˛$≈ôå˛ B–Û˛‘Ë˝–˲$$ —ßÊ˛$≈ôå˛ –ÈÁfl˝Mʸô˲
(3) electric potential (4) electric circuit
—ßÊ˛$≈ôå˛ ¥˘sÒ˝∞¤ƒÊ˝$Ãå˝ —ßÊ˛$≈ôå˛ –˲ÀƒÊ˝$Ö
72. If a net charge Q flows across any cross-section of a conductor in time t, then
current I through the cross-section is
JMʸ ÁúÕô˲ B–Û˛‘Ë˝–˲$$ Q JMʸ –ÈÁfl˝MʸÁ≥# –˲$´ßÊ˛≈ ^Û˛eßÊ˛Ö ßÈ”∆> t M>ÀÖ ¥Îr$ {Á≥–˲Ìfl˝ı‹¢, B –˲$´ßÊ˛≈^Û˛eßÊ˛Ö ßÈ”∆> —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝–˲$$
I A∆ˇ$$Ø˲Á≥#yÊ˛$, –ÈsÏ˝ –˲$´ßÊ˛≈ Á‹“$Mʸ∆Êˇ◊˝–˲$$
Q t
(1) I = (2) I =
t Q
t2 Q2
(3) I = (4) I =
Q t
73. One coulomb is equivalent to the charge contained in nearly
JMʸ Mʸ$À*Öªå˝ —ßÊ˛$≈ßÈ–Û˛‘>∞Mϸ ßÈßÈÁ≥#V> Á‹–˲*Ø˲–˛$OØ˲ B–Û˛‘Ë˝–˲$$ VʸÀ GÀ[M>tØ˲œ Á‹ÖQ≈
(1) 0·6 × 1018 electrons (2) 1·6 × 1018 electrons
0·6 × 1018 GÀ[M>tØ˲$œ 1·6 × 1018 GÀ[M>tØ˲$œ
(3) 6·25 × 1018 electrons (4) 16 × 1018 electrons
6·25 × 1018 GÀ[M>tØ˲$œ 16 × 1018 GÀ[M>tØ˲$œ

74. Work done to move a unit charge from one point to the other in an electric circuit
is called
JMʸ —ßÊ˛$≈ôå˛ –˲ÀƒÊ˝$ÖÃZ JMʸ ºÖßÊ˛$–˲# Ø˲$ÖyÏ˛ –˲$∆ˆMʸ ºÖßÊ˛$–˲#Ø˲Mʸ$ {Á≥–˲*◊˝ B–Û˛‘>∞≤ Mʸ®ÕÖ^˲$rMʸ$ ^Û˛ƒÊ˝$–˲ÀÌ‹Ø˲ Á≥∞∞
H–˲$∞ AÖsÍ∆Êˇ$?
(1) electric potential difference (2) electric current
—ßÊ˛$≈ôå˛ ¥˜sÒ˝∞¤ƒÊ˝$Ãå˝ øÙ˝ßÊ˛Ö —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝–˲$$
(3) electric resistance (4) electric power
—ßÊ˛$≈ôå˛ ∞∆¯£Ê˛–˲$$ —ßÊ˛$≈ôå˛ ›Î–˲$∆Êˇ¶≈Ö
75. SI unit of electrical potential difference is
—ßÊ˛$≈ôå˛ ¥˜sÒ˝∞¤ƒÊ˝$Ãå˝ øÙ˝ßÊ˛Ö ƒÒ˝$$MʸP SI {Á≥–˲*◊˝–˲$$
(1) watt (2) volt
–Èså˝ –¯Ãå˝t
(3) ampere (4) ohm
BÖÌ≥ƒÊ˝$∆äˇ K–å˛$

/5— A [ 18 ]

76. The device used to measure electric current in a circuit is called
JMʸ —ßÊ˛$≈ôå˛ –˲ÀƒÊ˝$ÖÃZ {Á≥–˲Ìfl˝Ö^˲$ —ßÊ˛$≈ôå˛ {Á≥–ȇ∞≤ MˆÀ–˲ yÈ∞Mϸ EÁ≥ƒÒ˝*WÖ^˲$ Á≥«Mʸ∆ÊˇÖ
(1) wattmeter (2) voltmeter
–Èså˝“$r∆Êˇ$ –¯Ãå˝t“$r∆Êˇ$
(3) ammeter (4) resistor
A“$√r∆Êˇ$ ∞∆¯´ßÊ˛Mʸ–˲$$
77. In an electric circuit, three resistors 5 Ω, 10 Ω and 15 Ω are connected in series
across a 60 V battery. Then the current flowing in the circuit is
JMʸ —ßÊ˛$≈ôå˛ –˲ÀƒÊ˝$ÖÃZ 60 V ªÍ≈r»Mϸ {‘Û˝◊Ï˝ÃZ EØ˲≤ –˲$*yÊ˛$ ∞∆¯´ßÈÀ$ 5 Ω, 10 Ω –˲$«ƒÊ˝$$ 15 Ω ÀØ˲$ MʸÕÌ≥Ø˲Á≥öyÊ˛$.
B –˲ÀƒÊ˝$ÖÃZ {Á≥–˲Ìfl˝Ö^˲$ —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝–˲$$ —À$–˲
(1) 0·5 A (2) 2A
(3) 90 A (4) 30 A

78. The heat produced in a 4 Ω resistor when an electric current of 5 A flows in it for
2 seconds is
JMʸ 4 Ω ∞∆¯´ßÊ˛Mʸ–˲$$ ßÈ”∆> 2 Ú‹MʸÖyÊ˛œ ¥Îr$ 5 A —ßÊ˛$≈ôå˛ {Á≥–˲Ìfl˝Ö_Ø˲Á≥#yÊ˛$ Eô˲µØ˲≤–˲$Vʸ$ EÁŸ~–˲$$ —À$–˲
(1) 200 J (2) 40 J
(3) 50 J (4) 80 J

79. One kilowatt hour is equal to
JMʸ MϸÃZ–Èså˝ A–˲∆äˇ {Mϸ֮ –ÈsÏ˝ÃZ ßÛ˛∞Mϸ Á‹–˲*Ø˲–˲$$?
(1) 36 × 106 J (2) 0·36 × 106 J
(3) 3·6 × 1010 J (4) 3·6 × 106 J

80. The power of an electric motor that takes 5 A electric current from a 220 V
transmission line is
220 V VʸÀ Á‹∆ÊˇÁú∆>ÃÒ˝OØ˲$ Ø˲$ÖyÏ˛ 5 A —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝–˲$$ °Á‹$MˆØ˲VʸÀ —ßÊ˛$≈ôå˛ –˛*sÍ∆Êˇ$ ƒÒ˝$$MʸP ›Î–˲$∆Êˇ¶”Ö
(1) 215 W (2) 44 W
(3) 225 W (4) 1100 W

81. The region surrounding a magnet in which the influence of that magnet can be
detected is called
JMʸ AƒÊ˝$›ÎPÖôË˛Ö ^˲$r*t EØ˲≤ {Á≥ßÛ˛‘Ë˝ÖÃZ EÖyÛ˛ AƒÊ˝$›ÎPÖô˲ {Á≥øÍ–È∞≤ ô˛ÕƒÊ˝$ gÙ˝ƒÊ˝$$ øoÜMʸ∆>’
(1) magnetic length (2) magnetic dipole
AƒÊ˝$›ÎPÖô˲ ¥˜yÊ˛–˲# AƒÊ˝$›ÎPÖô˲ ®”´ßÊ˛ñ–˲Ö
(3) magnetic field (4) magnetic pole strength
AƒÊ˝$›ÎPÖô˲ ÑÛ¸{ôË˛Ö AƒÊ˝$›ÎPÖô˲ ´ßÊ˛ñ–˲Á‹ô˲”–˲$$

/5— A [ 19 ] [ P.T.O.

82. If the electric current through a copper wire increases, the magnitude of the
magnetic field produced at a given point
JMʸ ∆>W °VʸÃZ∞ —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝–˲$ Ú≥«WØ˲Á≥#yÊ˛$, ∞«™ÁŸt ºÖßÊ˛$–˲# –˲ßÊ˛™ H∆ÊˇµyÏ˛Ø˲ AƒÊ˝$›ÎPÖô˲ ÑÛ¸{ôË˛Ö ƒÒ˝$$MʸP Á≥«–Ë˲*◊˝Ö
(1) decreases (2) remains the same
ô˲Vʸ$Yô˲$Ö® Ì‹¶∆ÊˇÖV> EÖr$Ö®
(3) increases (4) becomes equal to zero
Ú≥∆Êˇ$Vʸ$ô˲$Ö® Á‹$ØÈ≤Mϸ Á‹–Ë˲*Ø˲–˲$–˲#ô˲$Ö®
83. The magnetic field at all points inside a solenoid carrying electric current
—ßÊ˛$≈ôå˛ {Á≥–˲Ìfl˝Ö^Û˛ ›˘ÕØÈ∆ˇ$$yä˛ ÃZÁ≥À A∞≤ ºÖßÊ˛$–˲#À –˲ßÊ˛™ AƒÊ˝$›ÎPÖô˲ ÑÛ¸{ô˲Ö
(1) is non-uniform (2) is uniform
HMʸ»ÜV> EÖyÊ˛ßÊ˛$ HMʸ»ÜV> EÖr$Ö®
(3) does not exist (4) is always zero
E∞Mϸ EÖyÊ˛ßÊ˛$ GÁ≥öyÊ˛* Á‹$ØÈ≤V> EÖr$Ö®
84. The direction of force on a current carrying conductor in a magnetic field is given by
AƒÊ˝$›ÎPÖô˲ ÑÛ¸{ô˲ÖÃZ∞ —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝–˲$$ VʸÀ –ÈÁfl˝MÊ¸Ö Ú≥O Á≥∞^Û˛ı‹ ∫ÀÖ ƒÒ˝$$MʸP ®‘Ë˝Ø˲$ ô˛ÕƒÊ˝$ ^Û˛ƒÊ˝$$Ø˲®
(1) Fleming’s left-hand rule (2) Newton’s laws of motion
Úúœ—$ÖVä¸fi GyÊ˛–˲$ ^Û˛Ü ∞∫Ö´ßÊ˛Ø˲ Ø˲*≈rØå˛ Vʸ–˲$Ø˲ ∞ƒÊ˝$–Ë˲*À$
(3) Ohm’s law (4) Joule’s law of heating
K–å˛$ ∞ƒÊ˝$–˲$–˲$$ goÃå˝ EÁŸ~ ∞ƒÊ˝$–˲$–˲$$
85. The magnetic field produced by a current carrying circular loop is strongest at
–˲ñôÈ¢M>∆ÊˇÁ≥# –˲ÀƒÊ˝$ÖÃZ —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝–˲$$ –˲ÀØ˲ H∆ÊˇµyÊ˛$ AƒÊ˝$›ÎPÖô˲ ÑÛ¸{ôË˛Ö ∫ÀÖV> EÖyÊ˛$ ›Î¶Ø˲Ö
(1) the center of the loop (2) a point outside the loop
–˲ÀƒÊ˝$Ö –˲$´ßÊ˛≈ ºÖßÊ˛$–˲# –˲ßÊ˛™ –˲ÀƒÊ˝*∞Mϸ ∫ƒÊ˝$r$ ºÖßÊ˛$–˲# –˲ßÊ˛™
(3) the outer surface of the loop (4) every point inside the loop
–˲ÀƒÊ˝$Ö ƒÒ˝$$MʸP ∫ƒÊ˝$sÏ˝ EÁ≥« ô˲ÀÖ –˲ßÊ˛™ –˲ÀƒÊ˝$ÖÃZ∞ {Á≥Ü ºÖßÊ˛$–˲# –˲ßÊ˛™
86. In an electric circuit, the device used to prevent damage to the electrical appliances
due to overloading is
—ßÊ˛$≈ôå˛ –˲ÀƒÊ˝$ÖÃZ K–˲∆äˇ ÃZyÏ˛ÖVä¸ M>∆Êˇ◊˝ÖV> —ßÊ˛$≈ôå˛ EÁ≥Mʸ∆Êˇ◊ÍÀMʸ$ Ø˲ÁŸtÖ f∆ÊˇVʸMʸ$ÖyÈ ∞∆¯´®Ö^˲$ Á≥«Mʸ∆ÊˇÖ
(1) electromagnet (2) electric fuse
—ßÊ˛$≈ßÊ˛ƒÊ˝$›ÎPÖôË˛Ö —ßÊ˛$≈ôå˛ ÁúN≈gå˝
(3) battery (4) electric cell
ªÍ≈r» —ßÊ˛$≈ôå˛ Áú$r–˲$$

/5— A [ 20 ]

87. Which of the following is not an alloy?
{Mϸ֮ –ÈsÏ˝ÃZ —${‘Ë˝–˲$ ÃZÁfl˝Ö M>∞®
(1) Constantan (2) Manganin
M>Øå˛›ÎtÖrØå˛ –˲*ÖVʸ∞Øå˛
(3) Nichrome (4) Iron
∞{M¯–å˛$ CØ˲$–˲$$

88. Identify the wrong statement among the following.
{Mϸ֮ –ÈsÏ˝ÃZ ô˲Á≥öV> ı≥∆ˆPØ˲≤ –ÈM>≈∞≤ Vʸ$«¢Ö^˲ÖyÏ˛.
(1) Magnetic field lines are closed curves
AƒÊ˝$›ÎPÖô˲ ∫À∆ÛˇQÀ$ Á‹Ö–˲ñô˲ –˲{M>À$
(2) Inside the magnet, the direction of field lines is from north pole to south pole
AƒÊ˝$›ÎPÖôË˛Ö ÃZÁ≥À ∫À ∆ÛˇQÀ ®‘Ë˝ Eô˲¢∆Êˇ ´ßÊ˛ñ–Ë˛Ö Ø˲$ÖyÏ˛ ßÊ˛Ñϸ◊˝ ´ßÊ˛ñ–Ë˛Ö –˛OÁ≥#Mʸ$ EÖr$Ö®
(3) The magnetic field is stronger where the magnetic field lines are crowded
AƒÊ˝$›ÎPÖô˲ ∫À∆ÛˇQÀ$ ßÊ˛rt–˛$OØ˲ Á‹–˲$*Áfl˝ÖV> EØ˲≤^¯r AƒÊ˝$›ÎPÖô˲ ÑÛ¸{ô˲ ∫ÀÖ GMʸ$P–˲V> EÖr$Ö®
(4) Magnetic field lines do not intersect with each other
AƒÊ˝$›ÎPÖô˲ ∫À∆ÛˇQÀ$ JMʸ ßÈ∞؈MʸsÏ˝ QÖyÏ˛Ö^˲$M¯–˲#

89. SI unit of electrical resistivity is
—ßÊ˛$≈ôå˛ ∞∆¯£Ê˛Mʸô˲ ƒÒ˝$$MʸP SI {Á≥–˲*◊˝–˲$$
(1) Ωm (2) Ω/m
K–å˛$ “$ K–å˛$/“$
(3) m/Ω (4) Ω m2
“$/K–å˛$ K–å˛$ “$2

90. Which of the following is an insulator?
{Mϸ֮ –ÈsÏ˝ÃZ H® —ßÊ˛$≈ôå˛ ∫Ö´ßÊ˛Mʸ–˲$$?
(1) Copper (2) Silver
∆>W –˛ÖyÏ˛
(3) Aluminium (4) Rubber
AÀ*≈—$∞ƒÊ˝$Ö ∆Êˇ∫æ∆Êˇ$
SPACE FOR ROUGH WORK /_ô˲$¢≥Á ∞Mϸ ‹Á À¶ Ö

/5— A [ 21 ] [ P.T.O.

SECTION—III : CHEMISTRY

91. What is the product formed when magnesium ribbon is burnt in oxygen?
–˛$X≤ÌŸƒÊ˝$Ö «∫æØ˲$≤ BMϸfifدœ –˲$ÖyÏ˛Ö_Ø˲Á≥öyÊ˛$ H∆ÊˇµyÛ˛ Eô˲µØ˲≤Ö H—$sÏ˝?
(1) Magnesium chloride (2) Magnesium oxide
–˛$X≤ÌŸƒÊ˝$Ö M¯œ∆ˇOyä˛ –˛$X≤ÌŸƒÊ˝$Ö BM¸Ofiyä˛
(3) Magnesium carbonate (4) Magnesium hydroxide
–˛$X≤ÌŸƒÊ˝$Ö M>∆¯æØÛ˛så˝ –˛$X≤ÌŸƒÊ˝$Ö Úfl˝O{yÈM¸Ofiyä˛
92. What is the law of conservation of mass?
{ßÊ˛–˲≈ ∞ô˲≈ô˲” ∞ƒÊ˝$–˲$Ö AØ˲V>ØÛ˛—$?
(1) Energy can be created in a reaction
∆Êˇ›ÎƒÊ˝$Ø˲ ^˲∆Êˇ≈ÃZ ‘Ë˝Mϸ¢ ∞ Eô˲µÜ¢ ^Û˛ƒÊ˝$–˲^˲$a
(2) The number of reactants must always equal the number of products
{MϸƒÊÊ˝*fØ˲M>À Á‹ÖQ≈ GÀœÁ≥öyÊ˛* {MϸƒÊ˝*fØÈ≈À Á‹ÖQ≈ô¯ Á‹–Ë˲*Ø˲ÖV> EÖyÈÕ
(3) Mass and energy are interchangeable during reactions
^˲∆Êˇ≈À Á‹–˲$ƒÊ˝$ÖÃZ {ßÊ˛–˲≈∆>’ –˲$«ƒÊ˝$$ ‘Ë˝Mϸ¢ Á≥∆ÊˇÁ‹µ∆Êˇ –˲*«µyÏ˛ ^Û˛ƒÊ˝$∫yÊ˛ôÈ∆ˇ$$
(4) Mass can neither be created nor destroyed in a chemical reaction
∆Êˇ›ÎƒÊ˝$Ø˲ ^˲∆Êˇ≈ÃZ {ßÊ˛–˲≈∆>’ Á‹ñÌŸtÖ^˲∫yÊ˛ßÊ˛$ ÃÙ˝ßÈ ØÈ‘Ë˝ØË˛Ö ^Û˛ƒÊ˝$∫yÊ˛ßÊ˛$
93. What is the significance of writing physical states in a chemical equation?
∆Êˇ›ÎƒÊ˝$Ø˲ Á‹“$Mʸ∆Êˇ◊˝ÖÃZ øoÜMʸ Ì‹¶ô˲$À$ ∆>ƒÊ˝$yÊ˛Ö ƒÒ˝$$MʸP {¥Î–˲$$Q≈ô˲ H—$sÏ˝?
(1) To provide information about the physical form of substances
Á≥ßÈ∆>¶À øoÜMʸ ∆Êˇ*Á≥Ö Vʸ$«Ö_ Á‹–Ë˲*^È∆ÊˇÖ AÖ®Ö^˲yÈ∞Mϸ
(2) To show the mass of reactants and products
{MϸƒÊÊ˝*fØ˲M>À$ –˲$«ƒÊ˝$$ {MϸƒÊ˝*fØÈ≈À {ßÊ˛–˲≈∆>‘Ë˝$ÀØ˲$ ^˲*Ì≥Ö^˲yÈ∞Mϸ
(3) To balance the equation more accurately
Á‹“$Mʸ∆Êˇ◊Í∞≤ –˲$«Öô˲ Q_aô˲ÖV> Á‹–˲$ô˲$À≈Ö ^Û˛ƒÊ˝$yÈ∞Mϸ
(4) To indicate the catalyst used in the reaction
{Á≥Ü^˲∆Êˇ≈ÃZ –ÈyÏ˛Ø˲ E{ôÛ˛µ∆ÊˇM>∞≤ Á‹*_Ö^˲yÈ∞Mϸ

/5— A [ 22 ]

94. What is the product formed when slaked lime reacts with carbon dioxide during
whitewashing?
Á‹$Ø˲≤Á≥# ±∆Êˇ$ Mʸ∆ÊˇæØå˛ y˛O AM¸Ofiyä˛ô¯ ^˲∆Êˇ≈Mʸ$ ÃZØ˛OØ˲Á≥öyÊ˛$ H∆ÊˇµyÛ˛ Eô˲µÜ¢ H—$sÏ˝?
(1) Calcium hydroxide (2) Calcium carbonate
M>Õ¤ƒÊ˝$Ö Úfl˝O{yÈM¸Ofiyä˛ M>Õ¤ƒÊ˝$Ö M>∆¯æØÛ˛så˝
(3) Calcium oxide (4) Calcium chloride
M>Õ¤ƒÊ˝$Ö BM¸Ofiyä˛ M>Õ¤ƒÊ˝$Ö M¯œ∆ˇOyä˛
95. Why does the iron nail become brownish when dipped in copper sulfate solution?
M>Á≥∆äˇ Á‹ÃÙ˝πså˝ {ßÈ–Ë˛◊˝ÖÃZ –˲$$Ö_Ø˲Á≥öyÊ˛$ CØ˲$Á≥ –Û˛$Mʸ$ V¯´ßÊ˛$–˲$ ∆ÊˇÖVʸ$ÃZMϸ GÖßÊ˛$Mʸ$ –Ë˲*∆Êˇ$ô˲$Ö®?
(1) Copper gets deposited on the nail
–Û˛$Mʸ$ Ú≥O M>Á≥∆äˇ ∞ÑϸÁ≥¢Ö A–˲”yÊ˛Ö –˲ÀØ˲
(2) Iron reacts with oxygen
CØ˲$–˲$$ BMϸfifØå˛ô¯ ^˲∆Êˇ≈ f∆ÊˇÁ≥yÊ˛Ö –˲ÀØ˲
(3) The nail rusts
–Û˛$Mʸ$ ô˲$Á≥ö Á≥rtyÊ˛Ö –˲ÀØ˲
(4) The nail undergoes thermal decomposition
–Û˛$Mʸ$ EÁŸ~ —_eØÈ≤∞Mϸ Vʸ$∆Êˇ–˲yÊ˛Ö –˲ÀØ˲
96. What causes corrosion of iron?
CØ˲$Á≥Ö ô˲$Á≥ö Á≥yÊ˛yÈ∞Mϸ M>∆Êˇ◊ÍÀ$ H—$sÏ˝?
(1) Exposure to sunlight (2) Reaction with oxygen and moisture
Á‹*∆Êˇ≈M>ÖÜ ›˘MʸyÊ˛Ö –˲ÀØ˲ BMϸfifØå˛ –˲$«ƒÊ˝$$ ôÛ˛–˲$ô¯ ^˲∆Êˇ≈
(3) Contact with acids (4) Both (2) and (3)
B–˲*œÀ$ {Á≥øÍ–Ë˛Ö –˲ÀØ˲ (2) –˲$«ƒÊ˝$$ (3) ∆ˇÖyÊ˛*

97. What is the process called when fats and oils are oxidised and their smell and
taste change?
Mˆ–˲#”À$ –˲$«ƒÊ˝$$ Ø˲*Ø˛À$ BMÓ¸fiMʸ∆Êˇ◊Í∞Mϸ ÃZØ˛O –ÈÁ‹Ø˲ –˲$«ƒÊ˝$$ ∆Êˇ$_ –˲*∆Ûˇ {Á≥{MϸƒÊ˝$ H—$sÏ˝?
(1) Corrosion (2) Rancidity
ô˲$Á≥ö –˲$$MϸP¥˘–˲yÊ˛Ö
(3) Combustion (4) Oxidation
ßÊ˛Áfl˝ØË˛Ö BMÓ¸fiMʸ∆Êˇ◊˝Ö
SPACE FOR ROUGH WORK /_ô˲$¢≥ Á ∞Mϸ ‹Á À¶ Ö

/5— A [ 23 ] [ P.T.O.

98. If someone in your family is suffering from acidity after overeating, which of the
following would you suggest as a remedy?
“$ Mʸ$r$Ö∫ÖÃZ G–˲«M¸OØÈ GMʸ$P–˲V> ÜØ˲yÊ˛Ö –˲Àœ B–˲$œô˲”Ö MʸÕWôÛ˛, “$∆Êˇ$ H® EÁ≥‘Ë˝–˲$Ø˲ÖV> Ì‹∏Î∆ÊˇÁ‹$ ^Û˛›Î¢∆Êˇ$?
(1) Lemon juice (2) Vinegar
∞–˲$√∆ÊˇÁ‹Ö —∞Vʸ∆äˇ
(3) Baking soda solution (4) Saltwater
ªÙ˝MϸÖVä¸ ›˘yÈ {ßÈ–Ë˛◊˝Ö EÁ≥ö±∆Êˇ$
99. Which of the following can be used as olfactory indicators?
{Mϸ֮–ÈsÏ˝ÃZ H— {Áú*◊˝ Á‹*_MʸÀ$V> EÁ≥ƒÒ˝*WÖ^˲–˲^˲$a?
(1) Vanilla essence, turmeric and clove oil
–˲∞ÃÍœ GÚ‹Øå˛fi, Á≥Á‹$Á≥# –˲$«ƒÊ˝$$ À–˲ÖVʸ Ø˲*Ø˛
(2) Red cabbage, vanilla essence and onion
G{∆ÊˇM>≈ªÙ˝i, –˲∞ÃÍœ GÚ‹Øå˛fi –˲$«ƒÊ˝$$ EÕœ¥ÎƒÊ˝$
(3) Turmeric, onion and litmus
Á≥Á‹$Á≥#, EÕœ¥ÎƒÊ˝$ –˲$«ƒÊ˝$$ Õr√ã‹
(4) Vanilla essence, onion and clove oil
–˲∞ÃÍœ GÚ‹Øå˛fi, EÕœ¥ÎƒÊ˝$ –˲$«ƒÊ˝$$ À–˲ÖVʸ Ø˲*Ø˛
100. Phenolphthalein is used as an indicator in the reaction between
ÌúØÈÁú¢Œã‹ H ∆Êˇ›ÎƒÊ˝$∞Mʸ ^˲∆Êˇ≈ÃZ Á‹*_MʸV> EÁ≥ƒÒ˝*WÖ^˲∫yÊ˛$ô˲$Ö®?
(1) acid and base (2) acid and metal
B–˲$œÖ –˲$«ƒÊ˝$$ Ñ>∆ÊˇÖ B–˲$œÖ –˲$«ƒÊ˝$$ ÃZÁfl˝Ö
(3) base and metal oxide (4) acid and non-metallic oxide
Ñ>∆ÊˇÖ –˲$«ƒÊ˝$$ ÃZÁfl˝ BM¸Ofiyä˛ B–˲$œÖ –˲$«ƒÊ˝$$ AÃZÁfl˝ BM¸Ofiyä˛
101. Which of the following is a synthetic indicator?
{Mϸ֮–ÈsÏ˝ÃZ H® Mʸñ{ܖ˲$ Á‹*_Mʸ?
(1) Turmeric (2) Methyl orange
≥Á ‹Á $Á≥# —$£˛OÃå˝ B∆ˇÖgå˝
(3) Litmus solution (4) Red cabbage extract
Õr√ã‹ {ßÈ–Ë˛◊˝Ö G{∆ÊˇM>≈ªÙ˝i ›Î∆ÊˇÖ

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102. Why do acidic solutions conduct electricity?
B–˲$œ {ßÈ–Ë˛◊ÍÀ$ GÀ[MϸtÌ‹sÓ˝∞ GÖßÊ˛$Mʸ$ {Á≥Á‹«ÖÁ≥gÙ˝›Î¢∆ˇ$$?
(1) Due to the presence of water molecules
fÀ A◊˝$–˲#À E∞Mϸ M>∆Êˇ◊˝ÖV>
(2) Due to the presence of free electrons
Á‹Ö^È∆Êˇ GÀ[M>tØå˛À E∞Mϸ M>∆Êˇ◊˝ÖV>
(3) Due to the presence of ions in the solution
{ßÈ–Ë˛◊˝ÖÃZ AƒÊ˝*Ø˲œ E∞Mϸ M>∆Êˇ◊˝ÖV>
(4) Because acids are solid conductors
B–˲*œÀ$ Áú$Ø˲ –ÈÁfl˝M>À$ M>–˲yÊ˛Ö –˲Àœ
103. Tooth decay begins when the pH of the mouth drops below
دsÏ˝ ƒÒ˝$$MʸP pH GÖô˲Mʸ$ Á≥yÏ˛¥˘∆ˇ$$Ø˲Á≥öyÊ˛$ ßÊ˛Öô˲ ÑʸƒÊ˝$Ö {¥Î∆ÊˇÖøÊ˝–˲$–˲#ô˲$Ö®
(1) 6·5 (2) 5·5
(3) 4·5 (4) 7·0

104. What chemical is responsible for the pain caused by a bee sting?
ôÛ˛Ø˛sÓ˝Vʸ Mʸ$rtyÊ˛Ö –˲Àœ MʸÕVÛ¸ ؈Ì≥µMϸ M>∆Êˇ◊˝–˲$ƒÙ˝$≈ ∆Êˇ›ÎƒÊ˝$ØË˛Ö H®?
(1) Methanoic acid (2) Hydrochloric acid
—$£Èد∆ˇ$$Mä¸ B–˲$œÖ Úfl˝O{y¯M¯œ«Mä¸ B–˲$œÖ
(3) Acetic acid (4) Sulphuric acid
AÌ‹sÏ˝Mä¸ B–˲$œÖ Á‹À*π¸≈«Mä¸ B–˲$œÖ
105. What is the chemical formula of Plaster of Paris?
¥ÎœÁ‹t∆äˇ Bãú ¥Î«ã‹ ∆Êˇ›ÎƒÊ˝$Ø˲ Á‹ÖMÛ¸ôË˛Ö H—$sÏ˝?
(1) CaSO4.2H2O (2) CaSO 4.½H2O
(3) CaCO3 (4) CaOCl2

106. Which property of metals describes their shiny surface?
ÃZ‡À –˛$«ı‹ EÁ≥«ô˲ÃÍ∞≤ –˲«~Ö^Û˛ ÀÑʸ◊˝Ö H®?
(1) Malleability (2) Ductility
Á‹¢∆Êˇ◊Ó˝ƒÊ˝$ô˲ ôÈÖô˲–˲ô˲
(3) Metallic luster (4) Conductivity
ÃZÁfl˝ ßÊ˛$≈Ü –ÈÁfl˝Mʸô˲
SPACE FOR ROUGH WORK /_ô˲$¢≥Á ∞Mϸ ‹Á À¶ Ö

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107. Why are cooking vessels made up of metals like copper and aluminium?
∆>W –˲$«ƒÊ˝$$ AÀ*≈—$∞ƒÊ˝$Ö –˲ÖsÏ˝ ÃZ‡Àô¯ –˲Ör ¥Î{ô˲À$ GÖßÊ˛$Mʸ$ ô˲ƒÊ˝*∆Êˇ–˲#ôÈ∆ˇ$$?
(1) Because they are malleable
C— Á‹¢∆Êˇ±ƒÊ˝$ô˲ MʸÕW–˲#ÖyÊ˛rÖô¯
(2) Because they are shiny
C— {Á≥M>‘Ë˝–˲Öô˲ÖV> EÖsÍ∆ˇ$$
(3) Because they are sonorous
C— ‘Ë˝∫™{¥ÎÌ≥¢ Vʸ$◊˝Ö MʸÕWƒÊ˝$$ÖsÍ∆ˇ$$ M>∫sÏ˝t
(4) Because they are good conductors of heat
C— –˲$Ö_ EÁŸ~ –ÈÁfl˝M>À$ M>∫sÏ˝t
108. Why are metals like potassium and sodium stored in kerosene oil?
¥˘sÍÌŸƒÊ˝$Ö –˲$«ƒÊ˝$$ ›˘yÏ˛ƒÊ˝$Ö –˲ÖsÏ˝ ÃZ‡À$ GÖßÊ˛$Mʸ$ Mϸ∆¯Ì‹ã‹ ÃZ ∞À” ^Û˛ƒÊ˝$∫yÊ˛ôÈ∆ˇ$$?
(1) To prevent oxidation
BMÓ¸fiMʸ∆Êˇ◊˝Ø˲$ ∞–È«Ö^˲yÈ∞Mϸ
(2) To avoid rusting
ô˲$Á≥ö Á≥rtyÈ∞≤ ∞–È«Ö^˲yÈ∞Mϸ
(3) To prevent accidental fires due to their vigorous reaction with oxygen
BMϸfifØå˛ô¯ “sÏ˝— VʸÀ {MϸƒÊ˝*÷À ^˲∆Êˇ≈ –˲Àœ f«VÛ¸ {Á≥–˲*ßÊ˛Mʸ∆Êˇ AW≤ {Á≥–Ë˲*ßÈÀØ˲$ ∞–È«Ö^˲yÈ∞Mϸ
(4) To preserve their shiny surface
–ÈsÏ˝ {Á≥M>‘Ë˝–˲Öô˲–˛$OØ˲ EÁ≥«ô˲ÃÍ∞≤ Á‹Ö∆ÊˇÑϸÖ^˲yÈ∞Mϸ
109. What is the process of forming a thick oxide layer on aluminium called?
AÀ*≈—$∞ƒÊ˝$Ö Ú≥O –˲$ÖßÊ˛–˛$OØ˲ BM¸Ofiyä˛ ¥˜∆ÊˇØ˲$ ∆Êˇ*¥˜Ö®Ö^Û˛ {Á≥{MϸƒÊ˝$Ø˲$ H–˲$∞ Ì≥ô˲$›Î¢∆Êˇ$?
(1) Galvanisation (2) Anodising
V>À”±Mʸ∆Êˇ◊˝Ö BدyÏ˛Mʸ∆Êˇ◊˝Ö
(3) Electrolysis (4) Oxidation
—ßÊ˛$≈ôå˛ —‘Û˝œÁŸ◊˝ BMÓ¸fiMʸ∆Êˇ◊˝
110. What happens when zinc is added to a solution of iron (II) sulfate?
CØ˲$–˲$$ (II) Á‹ÃÙ˝πså˝ {ßÈ–Ë˛◊˝ÖÃZ hÖMä¸ Ø˲$ –Û˛Ì‹Ø˲Á≥öyÊ˛$ H–˲$–˲#ô˲$Ö®?
(1) No reaction takes place
GÃÍÖsÏ˝ ^˲∆Êˇ≈ f∆ÊˇVʸßÊ˛$
(2) Both metals react with each other to form an alloy
∆ˇÖßÊ˛$ ÃZ‡À$ MʸÕÌ‹ —${‘Ë˝–˲$ ÃZ‡∞≤ H∆Êˇµ∆Êˇ$›Î¢∆ˇ$$
(3) Iron displaces zinc and forms iron sulfate
CØ˲$–˲$$ hÖMä¸Ø˲$ ôˆÀWÖ_ CØ˲$–˲$$ Á‹ÃÙ˝πså˝Ø˲$ H∆Êˇµ∆Êˇ$Á‹$¢Ö®
(4) Zinc displaces iron and forms zinc sulfate
hÖMä¸ CØ˲$–˲$$Ø˲$ ôˆÀWÖ_ hÖMä¸ Á‹ÃÙ˝πså˝Ø˲$ H∆Êˇµ∆Êˇ$Á‹$¢Ö®

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111. What type of bond is formed when a metal transfers electrons to a non-metal?
JMʸ ÃZÁfl˝Ö GÀ[M>tã‹ÀØ˲$ AÃZ‡∞Mϸ AÖ®Ö^˲$Ø˲Á≥öyÊ˛$ H ∆ÊˇMÊ¸Ö ∫Ö´ßÊ˛Ö H∆ÊˇµyÊ˛$ô˲$Ö®?
(1) Covalent bond (2) Metallic bond
Á‹–˲$ƒÒ˝*f±ƒÊ˝$ ∫Ö´ßÊ˛Ö ÃZÁfl˝ ∫Ö´ßÊ˛Ö
(3) Ionic bond (4) Hydrogen bond
AƒÊ˝*∞Mʸ ∫Ö´ßÊ˛Ö Úfl˝O{y¯fã‹ ∫Ö´ßÊ˛Ö
112. What is the name of the process where carbonate ores are converted to oxides by
heating in limited air?
M>∆ÊˇæØÛ˛så˝ ´ßÈô˲$–˲#ÀØ˲$ Á≥«—$ô˲ V>ÕÃZ –Û˛yÏ˛ ^Û˛Ì‹ BM¸OfiyÊ˛$œV> –˲*∆Ûˇa {Á≥{MϸƒÊ˝$Ø˲$ H–˲$ÖsÍ∆Êˇ$?
(1) Calcination (2) Electrolysis
øÊ˝Ô‹√Mʸ∆Êˇ◊˝Ö —ßÊ˛$≈ôå˛ —‘Û˝œÁŸ◊˝
(3) Roasting (4) Smelting
øÊ˝∆ÊˇjØË˛Ö {Á≥VʸÀØ˲Ö
113. Which of the following is an ore of mercury?
{Mϸ֮ –ÈsÏ˝ÃZ ¥ÎßÊ˛∆ÊˇÁ‹Ö ´ßÈô˲$–˲# H®?
(1) Hematite (2) Cinnabar
Úfl˝–˲$sÒ˝Oså˝ Ì‹Ø˲≤ªÍ∆äˇ
(3) Galena (4) Bauxite
V¸ŒØÈ ªÍM¸Ofiså˝
114. What kind of bond exists in a molecule of nitrogen (N2)?
Ø˛O{sZfã‹ (N2) A◊˝$–˲#ÃZ H ∆ÊˇMʸ–˛$OØ˲ ∫Ö´ßÊ˛Ö EÖ®?
(1) Single bond (2) Double bond
HMʸ ∫Ö´ßÊ˛Ö ®” ∫Ö´ßÊ˛Ö
(3) Triple bond (4) Ionic bond
{Ü ∫Ö´ßÊ˛Ö AƒÊ˝*∞Mʸ ∫Ö´ßÊ˛Ö
115. What makes graphite a good conductor of electricity?
{V>ÚúOså˝ –˲$Ö_ —ßÊ˛$≈ôå˛ –ÈÁfl˝MʸÖV> Á≥∞^Û˛ƒÊ˝$yÈ∞Mϸ M>∆Êˇ◊˝Ö H—$sÏ˝?
(1) Presence of strong covalent bonds
∫À–˛$OØ˲ Á‹–˲$ƒÒ˝*f±ƒÊ˝$ ∫Ö´ßÈÀØ˲$ MʸÕW EÖyÊ˛rÖ
(2) Free electrons in its layered structure
ßÈ∞ ¥˜∆ÊˇÀ ∞∆>√◊˝ÖÃZ Á‹Ö^È∆Êˇ GÀ[M>tØå˛ÀØ˲$ MʸÕW EÖyÊ˛rÖ
(3) Its rigid three-dimensional structure
ßÊ˛ñ…Ê˛ÖV> VʸÀ{Ü—$°ƒÊ˝$ ∞∆>√◊˝Ö
(4) Its slippery texture
gÍ∆Êˇ$yÊ˛$ Á‹”øÍ–Ë˛Ö VʸÀ EÁ≥«ô˲ÀÖ

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116. What property allows carbon to form large molecules by bonding with itself?
M>∆ÊˇæØå˛ ô˲Ø˲ô¯ ôÈØ˲$ ∫Ö´ßÈÀØ˲$ H∆Êˇµ∆Êˇ^˲$Mˆ∞ Ú≥ßÊ˛™ A◊˝$–˲#ÀØ˲$ H∆Êˇµ∆Êˇ^Û˛ Á‹”øÍ–È∞≤ H–˲$ÖsÍ∆Êˇ$?
(1) Valency (2) Electronegativity
–ÈÃÒ˝±fi ∫$$◊˝—ßÊ˛$≈ßÈô˲√Mʸô˲
(3) Catenation (4) Ionization
‘Ë˝ñÖQÀ ´ßÊ˛∆Êˇ√Ö AƒÊ˝$±Mʸ∆Êˇ◊˝
117. Compounds with the same molecular formula but different structures are called
JMÛ¸ A◊˝$∏Î∆Êˇ$√ÃÍ EØ˲≤Á≥µsÏ˝MÓ¸ ¿Ø˲≤–˛$OØ˲ ∞∆>√◊ÍÀ$ MʸÕWØ˲ Á‹–Û˛$√‚Ê˝ØÈÀØ˲$ H–˲$ÖsÍ∆Êˇ$?
(1) isotopes (2) homologous compounds
I›˘sZÁ≥#À$ Á‹–˲*gÍô˲ {‘Û˝◊˝$À$
(3) functional groups (4) isomers
{Á≥–Û˛$ƒÊ˝$ Á‹–˲$*Á‡À$ ›ÎßÊ˛ñ‘Ë˝≈M>À$
118. Which series contains compounds differing by a —CH2 unit?
{Mϸ֮ H {‘Û˝◊˝$À$ —CH2 ƒÊ˝$*∞så˝ –˲≈ôÈ≈Á‹Ö ßÈ”∆> ¿Ø˲≤–˛$OØ˲ Á‹–Û˛$√‚Ê˝ØÈÀØ˲$ MʸÕW EÖr$Ö®?
(1) Homologous series (2) Isomeric series
Á‹–˲*gÍô˲ {‘Û˝◊˝$À$ ›ÎßÊ˛ñ‘Ë˝≈Mʸ {‘Û˝◊˝$À$
(3) Saturated series (4) Ionic series
Á‹Öô˲ñÁ≥¢ {‘Û˝◊˝$À$ AƒÊ˝*∞Mʸ {‘Û˝◊˝$À$
119. Which functional group is present in carboxylic acids?
M>∆>æMϸfiÕMä¸ B–˲*œÃZœ H {Á≥–Û˛$ƒÊ˝$ Á‹–˲$*Áfl˝Ö EÖr$Ö®?
(1) —CHO (2) —COOH
(3) (4) —OH

120. Which substance can oxidize ethanol to ethanoic acid?
C£Ê˛ØÈÃå˝Ø˲$ C£Ê˛Ø¯∆ˇ$$Mä¸ B–˲$œÖV> BMÓ¸fiMʸ«Ö^Û˛ Á≥ßÈ∆Êˇ¶Ö H—$sÏ˝?
(1) Alkaline potassium permanganate (2) Sodium hydroxide
Ñ>∆Êˇ ¥˜sÍÌŸƒÊ˝$Ö Á≥∆>√ÖVʸØÛ˛så˝ ›˘yÏ˛ƒÊ˝$Ö Úfl˝O{yÈM¸Ofiyä˛
(3) Dilute hydrochloric acid (4) Sodium ethoxide
Á‹fÀ Úfl˝O{y¯M¯œ«Mä¸ B–˲$œÖ ›˘yÏ˛ƒÊ˝$Ö C£ÈM¸Ofiyä˛

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