AP POLYCET 2024 Question Paper

Entrance Exam
2024

QUESTION
PAPER

Q. B. No.

POLYCET–2024 A
Hall Ticket Signature of
No. The Candidate

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

140
1. is a
210

140
210
AØ˲$Ø˲® JMʸ
(1) terminating decimal
AÖô˲–˲$ƒÙ˝$≈ ßÊ˛‘>Ö‘Ë˝Ö
(2) non-terminating and repeating decimal

AÖôË˛Ö M>∞ –˲$«ƒÊ˝$$ B–˲∆Êˇ¢Ø˲ ßÊ˛‘>Ö‘Ë˝Ö
(3) non-terminating and non-repeating decimal
AÖôË˛Ö M>∞ –˲$«ƒÊ˝$$ B–˲∆Êˇ¢ØË˛Ö M>∞ ßÊ˛‘>Ö‘Ë˝Ö
(4) None of the above

C–Û˛“ M>–˲#

2. The remainder when the square of any prime number greater than 3 is divided by
6 is

3 MʸÖsÙ˝ GMʸ$P–˛OØ˲ Hß˛OØÈ {Á≥´ßÈØ˲ Á‹ÖQ≈ ƒÒ˝$$MʸP –˲∆>Y∞≤ 6 ^Û˛ øÍWÖ^˲V> –˲^˲$a ‘Û˝ÁŸ–˲$$
(1) 1 (2) 2
(3) 3 (4) 4

/4— A [1] [ P.T.O.

3. Which of the following statements is not correct ?
D {Mϸ֮ {Á≥–˲^˲ØÈÀÃZ H® Á‹«ƒÒ˝$OØ˲® M>ßÊ˛$?
(1) The sum of a rational number and an irrational number is an irrational number.
JMʸ AMʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈ –˲$«ƒÊ˝$$ JMʸ Mʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈À –˛$$ô˲¢Ö JMʸ Mʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈ A–˲#ô˲$Ö®.
(2) The sum of two irrational numbers need not be an irrational number.
∆ˇÖyÊ˛$ Mʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈À –˛$$ô˲¢Ö JMʸ Mʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈ M>Ø˲–˲Á‹∆ÊˇÖ ÃÙ˝ßÊ˛$.
(3) The product of a non-zero rational number and an irrational number is an
irrational number.
JMʸ ‘Ë˝*ØÛ˛≈ô˲∆Êˇ AMʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈ –˲$«ƒÊ˝$$ JMʸ Mʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈À À∫™Ö JMʸ Mʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈ A–˲#ô˲$Ö®.
(4) The product of two irrational numbers is always an irrational number.
∆ˇÖyÊ˛$ Mʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈À À∫™Ö GÀœÁ≥öyÊ˛* JMʸ Mʸ∆Êˇ◊Ó˝ƒÊ˝$ Á‹ÖQ≈ A–˲#ô˲$Ö®.
4. The HCF of 306 and 657 is
306 –˲$«ƒÊ˝$$ 657 À Vʸ.›Î.M>.
(1) 10 (2) 8
(3) 9 (4) 7

5. The value of log 2 32 is

log 2 32 ƒÒ˝$$MʸP —À$–˲
(1) 2 (2) 32
(3) 5 (4) 0

6. If A = {1,2,{3,4},5} , then which of the following is incorrect?
A = {1,2,{3,4},5} A∆ˇ$$ôÛ˛, D {Mϸ֮ –È∞ÃZ H® Á‹«ƒÒ˝$OØ˲® M>ßÊ˛$?

(1) {3,4} ∈ A (2) {{3,4}} ⊂ A
(3) {3,4} ⊂ A (4) None of these
C–Û˛“ M>–˲#
7. If A and B are the two sets containing 3 and 6 elements respectively, then what
can be the maximum number of elements in A ∪ B ?
∆ˇÖyÊ˛$ Á‹—$ô˲$À$ A –˲$«ƒÊ˝$$ B À$ –˲∆Êˇ$Á‹V> 3 –˲$«ƒÊ˝$$ 6 –˲$*ÀM>ÀØ˲$ MʸÕW –˲#Ø˲≤rœ∆ˇ$$ôÛ˛, A ∪ B ÃZ –˲#ÖyÊ˛ VʸÀ
–˲$*ÀM>À Vʸ«ÁŸt Á‹ÖQ≈ GÖô˲?
(1) 9 (2) 10
(3) 11 (4) 12

/4— A [2]

8. The number of subsets of the set A = { p, q } is

A = { p, q } AØÛ˛ Á‹—$ÜMϸ VʸÀ EÁ≥ Á‹—$ô˲$À Á‹ÖQ≈
(1) 2 (2) 4
(3) 3 (4) 0

9. Which of the following is a polynomial?
D {Mϸ֮ –È∞ÃZ H® JMʸ ∫Áfl˝$Á≥®?
5
(1) x2 − 6 x + 2 (2) 2
x − 3x + 1
5
(3) 5 x 2 − 3x + 2 (4) 2x 2 − + 3
x

10. If α and β are the zeroes of the polynomial f (x ) = 6x 2 + x − 2 , then the sum of
zeroes is
f (x ) = 6x 2 + x − 2 AØÛ˛ ∫ÁÁfl˝$Á≥®Mϸ VʸÀ ‘Ë˝*ØÈ≈À$ α, β A∆ˇ$$ôÛ˛ –ÈsÏ˝ –˛$$ô˲¢Ö —À$–˲
1 1
(1) (2) −
6 6
1 1
(3) − (4)
3 3

11. If the zeroes of the quadratic polynomial ax 2 + bx + c (c ≠ 0) are equal, then

ax 2 + bx + c (c ≠ 0) AØÛ˛ –˲∆ÊˇY ∫Áfl˝$Á≥® ƒÒ˝$$MʸP Á‘Ë˝*ØÈ≈À$ Á‹–Ë˲*ØÈÃÒ˝OôÛ˛
(1) c and a have opposite signs (2) c and a have same signs
c –˲$«ƒÊ˝$$ a À$ –˲≈Ü∆ÛˇMʸ Vʸ$∆Êˇ$¢À$ c –˲$«ƒÊ˝$$ a À$ JMÛ¸ Vʸ$∆Êˇ$¢Ø˲$ MʸÕW
MʸÕW –˲#ÖsÍ∆ˇ$$ –˲#ÖsÍ∆ˇ$$
(3) b 2 ≠ 4ac (4) None of these
C–Û˛“ M>–˲#

12. If α, β, γ are the roots of 4x 3 − 6x 2 + 7x + 3 = 0 , then the value of αβ + βγ + γα is

4x 3 − 6x 2 + 7x + 3 = 0 ƒÒ˝$$MʸP –˲$*ÃÍÀ$ α, β, γ À$ A∆ˇ$$ôÛ˛, αβ + βγ + γα ƒÒ˝$$MʸP —À$–˲
7 7
(1) − (2)
4 4
2 3
(3) (4)
3 2

/4— A [3] [ P.T.O.

13. The pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c 2 = 0 has a unique
solution, then

a1x + b1y + c1 = 0 –˲$«ƒÊ˝$$ a2x + b2y + c 2 = 0 AØÛ˛ ∆ÛˇTƒÊ˝$ Á‹“$Mʸ∆Êˇ◊ÍÀ fô˲Mʸ$ HM¸OMʸ ›Î´ßÊ˛Ø˲ –˲#ÖsÙ˝, AÁ≥öyÊ˛$

a1 b1 a1 b1 c1
(1) ≠ (2) = ≠
a2 b2 a2 b2 c 2

a1 b1 c1 a1 b1
(3) = = (4) =
a2 b2 c 2 a2 b2

14. Nimra went to a bank to withdraw <2,000. She asked the cashier to give her <50
and < 100 notes only and she got 30 notes in all. How many notes of
<50 and <100 respectively that she received?
∞{–˲* 2,000 ∆Êˇ*¥ÎƒÊ˝$À$ °Á‹$MˆØ˲yÈ∞Mϸ JMʸ ªÍ≈ÖMä¸Mʸ$ –˛„ÂÖ®. B–˛$ M>≈ÌŸƒÊ˝$∆äˇØ˲$ B –˛$$ôÈ¢∞Mϸ 50 ∆Êˇ*¥ÎƒÊ˝$À$
–˲$«ƒÊ˝$$ 100 ∆Êˇ*¥ÎƒÊ˝$À ؈r$œ –˲*{ô˲–Û˛$ C–˲”–˲$∞ M¯«Ö®. –˛$$ô˲¢Ö 30 دr$œ B–˛$ °Á‹$MˆØ˲V>, B–˛$ ßÊ˛VʸY∆Êˇ –˲#Ø˲≤
50 ∆Êˇ*¥ÎƒÊ˝$À دr$œ –˲$«ƒÊ˝$$ 100 ∆Êˇ*¥ÎƒÊ˝$À دr$œ –˲∆Êˇ$Á‹V> G∞≤?
(1) 20, 10 (2) 15, 15
(3) 10, 20 (4) None of these
C–Û˛“ M>–˲#

15. If 2 is a root of the equation x 2 − px + q = 0 and p 2 = 4q , then the other root is

x 2 − px + q = 0 AØÛ˛ Á‹“$Mʸ∆Êˇ◊Í∞Mϸ 2 JMʸ –˲$*À–˲$$ –˲$«ƒÊ˝$$ p 2 = 4q A∆ˇ$$ôÛ˛, CÖMˆMʸ –˲$*À–˲$$
(1) –2 (2) 2

1 1
(3) (4) −
2 2

16. The ratio of the sum and product of the roots of the quadratic equation
7x 2 − 12x + 18 = 0 is

7x 2 − 12x + 18 = 0 AØÛ˛ –˲∆ÊˇY Á‹“$Mʸ∆Êˇ◊˝–˲$$ ƒÒ˝$$MʸP –˲$*ÃÍÀ –˛$$ô˲¢–˲$$ –˲$«ƒÊ˝$$ À∫™–˲$$À ∞ÁŸµÜ¢
(1) 7 : 12 (2) 7 : 18
(3) 3:2 (4) 2:3

/4— A [4]

17. If the area of a rectangle is 112 m2 and its length is 6 m more than the breadth,
then the breadth of the rectangle is
JMʸ ©∆ÊˇÉ ^˲ô˲$∆Êˇ{Á‹Ö ƒÒ˝$$MʸP –˛O‘>À≈–˲$$ 112 m2 –˲$«ƒÊ˝$$ ßÈ∞ ƒÒ˝$$MʸP ¥˜yÊ˛–˲#, –˛yÊ˛À$µ MʸÖsÙ˝ 6 m GMʸ$P–˲ A∆ˇ$$ôÛ˛, B
©∆ÊˇÉ ^˲ô˲$∆Êˇ{Á‹Ö ƒÒ˝$$MʸP –˛yÊ˛À$µ
(1) 8m (2) 14 m
(3) 10 m (4) 12 m

18. Find the 10th term of the arithmetic progression 5, 1, –3, –7,....
5, 1, –3, –7,.... AØ˲$ AÖMʸ {‘Û˝…Ï˛ Ø˲ÖßÊ˛$ 10 –˲ Á≥ßÊ˛–˲$$
(1) 31 (2) –31
(3) 30 (4) –30

19. The sum of first 10 terms of the arithmetic progression 34, 32, 30, .... is
34, 32, 30, .... AØ˲$ AÖMʸ {‘Û˝…Ï˛ Ø˲ÖßÊ˛$ VʸÀ –˛$$ßÊ˛sÏ˝ 10 Á≥ßÈÀ –˛$$ô˲¢Ö
(1) 200 (2) 225
(3) 250 (4) 275

1 1 1
20. The 12th term of the geometric progression (G.P.) 2,1, , , ,… is
2 4 8

1 1 1
2,1, , , ,… Vʸ$◊˝ {‘Û˝…Ï˛ÃZ∞ 12 –˲ Á≥ßÊ˛–˲$$
2 4 8

1 1
(1) 9 (2)
2 28

1 1
(3) 11 (4)
2 210

21. Which of the following is a geometric progression?
{Mϸ֮ –È∞ÃZ Vʸ$◊˝{‘Û˝…Ï˛ H®?
1 1 1
(1) , , ,… (2) −2, −4, − 12,…
2 4 8

(3) 3,4, 6,12,… (4) x , 1, x 2 ,…

/4— A [5] [ P.T.O.

22. The coordinates of the point P which is equidistant from the three vertices of the
∆AOB as shown in the figure is
Á≥rÖÃZ ^˲*Ì≥Ø˲ ∆AOB {ÜøÊ˝$fÖ ƒÒ˝$$MʸP –˲$*yÊ˛$ ÷∆>¤À Ø˲$ÖyÏ˛ Á‹–˲*Ø˲ ßÊ˛*∆ÊˇÖÃZ –˲#Ø˲≤ ºÖßÊ˛$–˲# P ƒÒ˝$$MʸP ∞∆Êˇ*Á≥M>À$

(1) (x , y ) (2) (y , x )

x y  y x 
(3)  ,  (4)  , 
2 2 2 2

23. In what ratio, Y-axis divides the line segment joining the points P (−4,2) and Q (8,3) ?

P (−4,2) –˲$«ƒÊ˝$$ Q (8,3) ºÖßÊ˛$–˲#ÀØ˲$ MʸÕı≥ ∆ÛˇRÍ QÖyÈ∞≤ Y-AÑÊ¸Ö H ∞ÁŸµÜ¢ÃZ —øÊ˝hÁ‹$¢Ö®?
(1) 3:1 (2) 1:3
(3) 2:1 (4) 1:2

24. If the centroid of a triangle formed by the points (a ,b ), (b,c ) and (c ,a ) is at the

origin, then a 3 + b 3 + c 3 =

(a ,b ), (b,c ) –˲$«ƒÊ˝$$ (c ,a ) ºÖßÊ˛$–˲#Àô¯ H∆ÊˇµyÏ˛Ø˲ {ÜøÊ˝$fÖ ƒÒ˝$$MʸP Vʸ$∆Êˇ$ô˲” MÛ¸Ö{ßÊ˛Ö –˲$*À ºÖßÊ˛$–˲# –˲ßÊ˛™
–˲#Ø˲≤rœ∆ˇ$$ôÛ˛, a 3 + b 3 + c 3 =
(1) abc (2) 0
(3) a +b +c (4) 3abc

25. If the points (1,2), (−1,k ) and (2,3) are collinear, then the value of k is

(1,2), (−1,k ) –˲$«ƒÊ˝$$ (2,3) AØÛ˛ ºÖßÊ˛$–˲#À$ Á‹∆ÛˇTƒÊ˝*ÃÒ˝OôÛ˛, k —À$–˲
(1) 0 (2) –1
(3) 1 (4) 2

/4— A [6]

26. If the slope of the line joining the points (4,2) and (3, −k ) is –2, then the value of k is
(4,2) –˲$«ƒÊ˝$$ (3, −k ) AØÛ˛ ºÖßÊ˛$–˲#ÀØ˲$ MʸÕı≥ Á‹∆Êˇ‚Ê˝∆ÛˇQ –ÈÀ$ –2 A∆ˇ$$ôÛ˛, k —À$–˲
(1) –3 (2) 4
(3) 3 (4) –4

27. In the following figure, if DE
BC , then x =

D {Mϸ֮ Á≥rÖÃZ DE
BC A∆ˇ$$ôÛ˛, x =

(1) 3 (2) 7

(3) 6 (4) 5

28. ∆ABC ~ ∆DEF , the area of ∆ABC = 9 cm2 and the area of ∆DEF = 16 cm2 . If
BC = 2 .1 cm , then EF =

∆ABC ~ ∆DEF , ∆ABC –˛O‘>À≈–˲$$ 9 cm
2 –˲$«ƒÊ˝$$ ∆DEF –˛O‘>À≈–˲$$ 16 cm2 . BC = 2 .1 cm A∆ˇ$$ôÛ˛,
EF =
(1) 2·8 cm (2) 4·2 cm
(3) 2·5 cm (4) 4·1 cm

AD 3
29. In ∆ABC , DE
BC , = and AC = 5.6 cm , then AE = ?
DB 5

JMʸ {ÜøÊ˝$fÖ ABC Ø˲ÖßÊ˛$, DE
BC , AD = 3 –˲$«ƒÊ˝$$ AC = 5.6 cm A∆ˇ$$Ø˲ AE = ?
DB 5
(1) 3 cm (2) 5 cm
(3) 2·1 cm (4) 7 cm

/4— A [7] [ P.T.O.

30. In the given figure, PA and PB are the tangents to the circle with centre at O. If
∠APB = 36° , then ∠AOB =
C_aØ˲ Á‹rÖÃZ, PA –˲$«ƒÊ˝$$ PB À$ O MÛ¸Ö{ßÊ˛ÖV> VʸÀ –˲ñôÈ¢∞Mϸ Á‹µ∆Êˇÿ∆ÛˇQÀ$. ∠APB = 36° A∆ˇ$$ôÛ˛, ∠AOB =

(1) 72° (2) 134°
(3) 144° (4) 154°

31. The area of the shaded region in the given figure is
C_aØ˲ Á≥rÖÃZ ıŸyä˛ ^Û˛ƒÊ˝$∫yÏ˛Ø˲ {Á≥ßÛ˛‘Ë˝Ö ƒÒ˝$$MʸP –˛O‘>À≈–˲$$

(1) 4π sq. units (2) 16 – 16π sq. units
(3) 16 – 4π sq. units (4) None of these
C–Û˛“ M>–˲#
32. In the given figure, the radius of each outer circle is a, then the radius of the
inner circle is
C_aØ˲ Á≥rÖÃZ, {Á≥Ü ∫ƒÊ˝$sÏ˝ –˲ñô˲¢Ö ƒÒ˝$$MʸP –È≈›Î∆Êˇ¶–˲$$ a A∆ˇ$$ôÛ˛, ÃZÁ≥Õ –˲ñô˲¢ –È≈›Î∆Êˇ¶–˲$$

(1) ( 2 + 1) (2) a ( 2 + 1)

(3) ( 2 − 1) (4) a ( 2 − 1)

/4— A [8]

33. If the length, breadth and height of a cuboid are 8 cm, 3 cm and 4 cm respectively,
then the total surface area of the cuboid is

JMʸ ©∆ÊˇÉÁú$ØË˛Ö ƒÒ˝$$MʸP ¥˜yÊ˛–˲#, –˛yÊ˛À$µ, Gô˲$¢ –˲∆Êˇ$Á‹V> 8 cm, 3 cm, 4 cm A∆ˇ$$Ø˲, B ©∆ÊˇÉÁú$ØË˛Ö ƒÒ˝$$MʸP Á‹ÖÁ≥N∆Êˇ~ô˲À
–˛O‘>À≈Ö
(1) 48 cm2 (2) 72 cm2

(3) 136 cm2 (4) 108 cm2

34. If the volume of a cylinder is 500 m3 and the area of its base is 25 m2, then its
height (in m) is

JMʸ Á‹*¶Á≥Ö ƒÒ˝$$MʸP Áú$Ø˲Á≥«–˲*◊˝Ö 500 m3 –˲$«ƒÊ˝$$ ßÈ∞ øÊ˝*–˛O‘>À≈Ö 25 m2 A∆ˇ$$ôÛ˛, ßÈ∞ Gô˲$¢ “$r∆ÊˇœÃZ
(1) 20 (2) 15

(3) 50 (4) 30

35. If sec θ + tan θ = k , then sec θ − tan θ = ?

sec θ + tan θ = k A∆ˇ$$ôÛ˛ sec θ − tan θ = ?

1
(1) k (2)
k
1
(3) k2 (4)
k2

36. If sin α + sin β + sin γ = 3 , then cos α + cos β + cos γ =

sin α + sin β + sin γ = 3 A∆ˇ$$ôÛ˛ cos α + cos β + cos γ =

(1) 0 (2) 1

(3) 2 (4) 3

37. If tan 48° ⋅ tan 23° ⋅ tan 42° ⋅ tan 67° = tan(A + 30°) , then the value of A is

tan 48° ⋅ tan 23° ⋅ tan 42° ⋅ tan 67° = tan( A + 30°) A∆ˇ$$ôÛ˛, A —À$–˲

(1) 30° (2) 45°

(3) 60° (4) 15°

/4— A [9] [ P.T.O.

a4
38. If a sin 45° = b cosec 30°, then the value of is
b4
a4
a sin 45° = b cosec 30° A∆ˇ$$ôÛ˛, ƒÒ˝$$MʸP —À$–˲
b4
(1) 1 (2) 28
(3) 23 (4) 26

39. If sin2 θ + cosec2θ = 6 , then sin θ + cosec θ =

sin2 θ + cosec2θ = 6 A∆ˇ$$ôÛ˛, sin θ + cosec θ =
(1) 3 2 (2) 2 2
(3) 4 2 (4) 2

40. A tree is broken by wind, its upper part touches the ground at a point 10 metres
from the foot of the tree and makes an angle of 45° with the ground. Then what is
the entire height of the tree?
JMʸ ^˛r$t V>ÕMϸ —«WÖ®. ßÈ∞ —«WØ˲ Ú≥O øÍVʸÖ, AyÊ˛$Vʸ$ øÍVÊ¸Ö (¥ÎßÊ˛Ö) Ø˲$ÖyÏ˛ 10 “$r∆Êˇœ ßÊ˛*∆ÊˇÖÃZ ØÛ˛ÀØ˲$ ôÈMϸ֮
–˲$«ƒÊ˝$$ A® øÊ˝*—$ô¯ 45°À M¯◊˝Ö ^Û˛Á‹$¢Ø˲≤rœ∆ˇ$$ôÛ˛, B ^˛r$t ƒÒ˝$$MʸP –˛$$ô˲¢Ö Gô˲$¢ GÖô˲?
(1) 15 m (2) 20 m
 3
(3) 10(1 + 2) m (4) 10 1 + m
 2 

41. If two towers of heights h1 and h2 subtend angles of 30° and 60° respectively at the
midpoint of the line joining their feet, then the ratio of h1 : h2 is
h1 –˲$«ƒÊ˝$$ h2 Gô˲$¢À$ MʸÕWØ˲ ∆ˇÖyÊ˛$ V¯Á≥#∆>À$ –ÈsÏ˝ ¥ÎßÈÀØ˲$ MʸÕÌ≥Ø˲ ∆ÛˇRÍ QÖyÊ˛Ö ƒÒ˝$$MʸP –˲$´ßÊ˛≈ ºÖßÊ˛$–˲# Ø˲$ÖyÏ˛
^Û˛ƒÊ˝$$ F∆ÊˇÆ≈ M¯◊ÍÀ$ –˲∆Êˇ$Á‹V> 30° –˲$«ƒÊ˝$$ 60° A∆ˇ$$ôÛ˛, –ÈsÏ˝ Gô˲$¢À ∞ÁŸµÜ h1 : h2 =
(1) 2:1 (2) 1:2
(3) 3:1 (4) 1:3

x
42. If the probability of guessing the correct answer to a question is and the probability
5 12
of not guessing the correct answer is , then the value of x is
8
x
JMʸ {Á≥‘Ë˝≤Mʸ$ Á‹«ƒÒ˝$OØ˲ Á‹–˲*´ßÈØË˛Ö AÖ^˲ØÈ –Û˛ƒÊ˝$$rMʸ$ VʸÀ Á‹Öø͖˲≈ô˲ 12 –˲$«ƒÊ˝$$ AÖ^˲ØÈ –Û˛ƒÊ˝$ÃÙ˝Mʸ ¥˘–˲#rMʸ$ Á‹Öø͖˲≈ô˲
5
8
A∆ˇ$$ôÛ˛, x —À$–˲
(1) 4·5 (2) 4
(3) 1·2 (4) 0·5

/4— A [ 10 ]

43. A box contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is
selected at random. What is the probability that the selected ball is not red?

24 ∫Öô˲$À$ VʸÀ JMʸ Ú≥sÒ˝tÃZ x G∆Êˇ$Á≥#, 2x ô˛À$Á≥# –˲$«ƒÊ˝$$ 3x ±ÀÖ ∆ÊˇÖVʸ$ ∫Öô˲$À$ MʸÀ–˲#. AÖßÊ˛$ÃZ Ø˲$ÖyÏ˛ JMʸ
∫ÖÜ∞ °ı‹¢, B ∫ÖÜ G∆Êˇ$Á≥# ∆ÊˇÖVʸ$ M>∞® AVʸ$rMʸ$ VʸÀ Á‹Öø͖˲≈ô˲
1 1
(1) (2)
6 2
1 5
(3) (4)
3 6

44. Two dice are thrown at the same time. What is the probability that the sum of the
two numbers appearing on the top of the dice is more than 10?

∆ˇÖyÊ˛$ ¥Î_MʸÀØ˲$ JMÛ¸›Î« GVʸ$∆Êˇ–Û˛‘>∆Êˇ$. –ÈsÏ˝ –˲$$RÍÀÚ≥O –˲^Û˛a Á‹ÖQ≈À –˛$$ô˲¢Ö 10 MʸÖsÙ˝ GMʸ$P–˲ AVʸ$rMʸ$ VʸÀ Á‹Öø͖˲≈ô˲
GÖô˲?
1 1
(1) (2)
36 12
1 1
(3) (4)
26 13

45. 2 cards of hearts and 4 cards of spades are missing from a pack of 52 cards. A card
is drawn at random from the remaining pack. What is the probability of getting a
black card?

52 ı≥Mʸ –˲$$MʸPÀ$ VʸÀ JMʸ MʸrtÃZ Áfl˝ñßÊ˛ƒÊ˝*M>∆Êˇ Vʸ$∆Êˇ$¢ VʸÀ 2 M>∆Êˇ$zÀ$ –˲$«ƒÊ˝$$ 4 M>∆Êˇ$zÀ$ ı‹µyä˛À$ ÃÙ˝–˲#. —$WÕØ˲ ı≥Mʸ Mʸrt
Ø˲$ÖyÏ˛ JMʸ M>∆Êˇ$zØ˲$ ƒÊ˝*ßÊ˛ñ_eMʸÖV> °ƒÊ˝$V> A® Ø˲À$Á≥# ∆ÊˇÖVʸ$ M>∆Êˇ$z AVʸ$rMʸ$ VʸÀ Á‹Öø͖˲≈ô˲
22 22
(1) (2)
52 46
24 24
(3) (4)
52 46

46. The average of the observations 10, 20, 65, 102, 108, 115 is

C–˲”∫yÏ˛Ø˲ 10, 20, 65, 102, 108, 115 ∆>‘Ë˝$À ƒÒ˝$$MʸP Á‹Vʸr$
(1) 50 (2) 70

(3) 60 (4) 40

/4— A [ 11 ] [ P.T.O.

47. If 35 is removed from the data 30, 34, 35, 36, 37, 38, 39, 40, then the median
increases by

30, 34, 35, 36, 37, 38, 39, 40, ßÊ˛ôÈ¢Ö‘Ë˝ÖÃZ 35 Ø˲$ ôˆÀWÖ_Ø˲rœ∆ˇ$$ôÛ˛, ßÈ∞ –˲$´ßÊ˛≈Vʸô˲ —À$–˲ÃZ Ú≥∆Êˇ$Vʸ$ßÊ˛À
(1) 2 (2) 1·5
(3) 1 (4) 0·5

48. The modal class of the following frequency distribution is

D {Mϸ֮ ¥˚Ø˲@Á≥#Ø˲≈ —øÍfØ˲–˲$$ ƒÒ˝$$MʸP ªÍÁfl˝$‚Ê˝MʸÁ≥# ô˲∆ÊˇVʸÜ
Class Interval 0–20 20–40 40–60 60–80 80–100
ô˲∆ÊˇVÊ¸Ü AÖô˲∆ÊˇÖ
Number of Students 15 18 21 29 17
—ßÈ≈∆Êˇ$¶À Á‹ÖQ≈
(1) 80–100 (2) 0–20
(3) 60–80 (4) 40–60

49. If the mode and mean of a data are 24 and 60 respectively, then the median of the
data is

JMʸ ßÊ˛ôÈ¢Ö‘Ë˝–˲$$ ƒÒ˝$$MʸP ªÍÁfl˝$‚Ê˝Mʸ–˲$$ –˲$«ƒÊ˝$$ AÖMʸ –˲$´ßÊ˛≈–˲$Ö –˲∆Êˇ$Á‹V> 24 –˲$«ƒÊ˝$$ 60 A∆ˇ$$ôÛ˛, B ßÊ˛ôÈ¢Ö‘Ë˝Ö ƒÒ˝$$MʸP
–˲$´ßÊ˛≈Vʸô˲Ö
(1) 49 (2) 48
(3) 47 (4) 46

50. The upper limit of the median class of the following frequency distribution is

D {Mϸ֮ ¥˚Ø˲@Á≥#Ø˲≈ —øÍfØ˲ÖÃZ, –˲$´ßÊ˛≈Vʸô˲ ô˲∆ÊˇVÊ¸Ü GVʸ$–˲ Áfl˝ßÊ˛$™
Class Interval 50–70 70–90 90–110 110–130 130–150 150–170
ô˲∆ÊˇVÊ¸Ü AÖô˲∆ÊˇÖ
Frequency 15 21 32 19 8 5
¥˚Ø˲@Á≥#Ø˲≈Ö
(1) 110 (2) 90
(3) 130 (4) 70

/4— A [ 12 ]

SECTION—II : PHYSICS

51. The C.G.S. unit of heat energy is
EÁŸ~‘Ë˝Mϸ¢Mϸ C.G.S. {Á≥–Ë˲*◊˝Ö
(1) joule (2) kelvin

goÃå˝ M¸Õ”Øå˛
(3) dioptre (4) calorie

yÊ˛ƒÊ˝*Á≥t∆äˇ M¸ÃZ»

52. If 27 ºC + x = 300 K, then the value of x is

27 ºC + x = 300 K A∆ˇ$$ôÛ˛ x —À$–˲

(1) 0K (2) 327 K
(3) 273 K (4) 300 K

53. The pair of substances which have the same value of specific heat is

JMÛ¸ —’⁄˘tÁŸ~Ö —À$–˲ MʸÕWØ˲ fÖr øoÜMʸ ∆>‘Ë˝$À$
(1) copper, aluminium (2) zinc, iron

M>Á≥∆äˇ, AÀ*≈—$∞ƒÊ˝$Ö hÖMä¸, CØ˲$–˲$$
(3) ice, kerosene oil (4) water, ice

–˲$Ö^˲$, Mϸ∆¯Ì‹Øå˛ ±∆Êˇ$, –˲$Ö^˲$

54. During the process of conversion from liquid to solid, the internal energy of the
water

{ßÊ˛–Ë˛Ö Ø˲$ÖyÏ˛ Áú$Ø˲ Á≥ßÈ∆Êˇ¶ÖV> –˲*∆Êˇ$ {Á≥{MϸƒÊ˝$ÃZ, ±sÏ˝ AÖô˲∆ÊˇYô˲ ‘Ë˝Mϸ¢
(1) increases (2) decreases

Ú≥∆Êˇ$Vʸ$ô˲$Ö® ô˲Vʸ$Yô˲$Ö®
(3) remains constant (4) None of these

Ì‹¶∆ÊˇÖV> EÖr$Ö® C–Û˛“ M>–˲#

/4— A [ 13 ] [ P.T.O.

55. Formation of dew and fog is due to the process of
ô˲$⁄Î∆>À$ –˲$«ƒÊ˝$$ ¥˜Vʸ–˲$Ö^˲$ H∆ÊˇµyÊ˛$rMʸ$ M>∆Êˇ◊˝–˲$$ A∆ˇ$$Ø˲ {Á≥{MϸƒÊ˝$
(1) melting (2) freezing

{ßÊ˛“øÊ˝–˲ØË˛Ö Áú$±øÊ˝–˲Ø˲Ö
(3) evaporation (4) condensation

ªÍÔŸµøÊ˝–˲ØË˛Ö ›ÎÖ{©Mʸ∆Êˇ◊˝Ö

56. 40 g of water at 40 ºC is added to 10 g of water at 80 ºC. The final temperature of
the mixture is

40 ºC E⁄˘~{Vʸô˲ MʸÕWØ˲ 40 {V>. ±sÏ˝∞ 80 ºC E⁄˘~{Vʸô˲ MʸÕWØ˲ 10 {V>. ±sÏ˝Mϸ MʸÕÌ≥ØÈ∆Êˇ$. H∆ÊˇµyÊ˛$ —${‘Ë˝–˲$Ö ƒÒ˝$$MʸP ô˲$®
E⁄˜~{Vʸô˲
(1) 48 ºC (2) 40 ºC
(3) 120 ºC (4) 64 ºC

57. A light ray bends away from normal when it travels from

M>ÖÜ Mϸ∆Êˇ◊˝Ö ÀÖ∫Ö Ø˲$ÖyÏ˛ ßÊ˛*∆ÊˇÖV> –˲ÖWØ˲Á≥#yÊ˛$ EÖyÊ˛$ ƒÊ˝*Ø˲Mʸ –˲*∆Êˇ$µ
(1) air to water (2) water to air

V>Õ Ø˲$ÖyÏ˛ ±sÏ˝Mϸ ±sÏ˝ Ø˲$ÖyÏ˛ V>ÕMϸ
(3) water to glass (4) air to glass

±sÏ˝ Ø˲$ÖyÏ˛ V>kMʸ$ V>Õ Ø˲$ÖyÏ˛ V>kMʸ$

58. If v1 and v2 are the speeds of light in the two media of refractive indices n1 and n2
respectively, then

n1 –˲$«ƒÊ˝$$ n2 –˲{MÓ¸øÊ˝–˲Ø˲ Vʸ$◊˝M>À$ MʸÕWØ˲ ∆ˇÖyÊ˛$ ƒÊ˝*Ø˲M>ÀÃZ M>ÖÜ –Û˛V>À$ –˲∆Êˇ$Á‹V> v1 –˲$«ƒÊ˝$$ v2 A∆ˇ$$ôÛ˛

v1 n1 v1 n 2
(1) = (2) =
v2 n2 v 2 n1

2 2
v1 n 1 v1 n 2
(3) = (4) =
v2 n 2 v2 n 2
2 1

/4— A [ 14 ]

59. The speed of light in vacuum is c. The speed of light in a medium of refractive
index 4/3 is
‘Ë˝*Ø˲≈ÖÃZ M>ÖÜ –Û˛VÊ¸Ö c A∆ˇ$$ôÛ˛ 4/3 V> –˲{MÓ¸øÊ˝–˲Ø˲ Vʸ$◊˝MÊ¸Ö MʸÕWØ˲ ƒÊ˝*Ø˲MʸÖÃZ M>ÖÜ –Û˛VʸÖ
(1) c/3 (2) c/4
(3) 4c/3 (4) 3c/4

60. The stars appear twinkling. The principle involved in it is

Ø˲Ñʸ{ôÈÀ$ –˛$∆Êˇ$Á‹*¢ MʸØ˲Á≥yÊ˛ôÈ∆ˇ$$. ©∞Mϸ M>∆Êˇ◊˝Ö A∆ˇ$$Ø˲ M>ÖÜ Á‹*{ô˲–˲$$
(1) refraction (2) reflection

–˲{MϸøÊ˝–˲ØË˛Ö Á≥∆>–˲∆Êˇ¢Ø˲Ö
(3) total internal reflection (4) dispersion

Á‹ÖÁ≥N∆>~Öô˲∆Êˇ Á≥∆>–˲∆Êˇ¢ØË˛Ö —ÑÛ¸ Á≥◊˝Ö

61. A rectangular tank of depth 4 m is full of water of refractive index 4/3. When
viewed from the top, the bottom of the tank is seen at a depth of

4 m ÃZô˲$ MʸÕWØ˲ JMʸ ´©∆ÊˇÉ ^˲ô˲$∆Êˇ{›ÎM>∆ÊˇÁ≥# ôˆsÒ˝t 4/3 –˲{MÓ¸øÊ˝–˲ØË˛Ö —À$–˲ MʸÕWØ˲ ±sÏ˝ô¯ ∞ÖyÏ˛ EÖ®. Ú≥O øÍVʸ–˲$$ Ø˲$ÖyÏ˛
^˲*Ì‹Ø˲Á≥#yÊ˛$ ôˆsÒ˝t AyÊ˛$Vʸ$ øÍVʸ–˲$$ Mʸ∞Ì≥Ö^˲$ ÃZô˲$
(1) 3m (2) 2m
(3) 1·33 m (4) 1m

62. A convex lens gives a virtual image when the object is placed on the principal axis

JMʸ Mʸ$ÖøÍM>∆Êˇ MʸrMÊ¸Ö ßÈ∞ {Á≥´ßÈØÈÑʸÖÚ≥O H›Î¶ØË˛Ö –˲ßÊ˛™ –˲Á‹$¢–˲#∞ EÖ_Ø˲Á≥#yÊ˛$ —$£È≈ {Á≥ܺÖ∫Ö H∆ÊˇµyÊ˛$ô˲$Ö®?
(1) at infinity

AØ˲Öô˲ ßÊ˛*∆ÊˇÖÃZ
(2) at centre of curvature

–˲{MʸôÈ MÛ¸Ö{ßÊ˛Ö –˲ßÊ˛™
(3) between focal point and optic centre

ØÈ¡ƒÊ˝$ ºÖßÊ˛$–˲# –˲$«ƒÊ˝$$ ßÊ˛ñMä¸ MÛ¸Ö{ßÊ˛Ö –˲$´ßÊ˛≈
(4) between focal point and centre of curvature

ØÈ¡ƒÊ˝$ ºÖßÊ˛$–˲# –˲$«ƒÊ˝$$ –˲{MʸôÈ MÛ¸Ö{ßÊ˛Ö –˲$´ßÊ˛≈

/4— A [ 15 ] [ P.T.O.

63. Irrespective of the position of the object on the principal axis, a concave lens
always forms an image of nature
–˲Á‹$¢–˲#Ø˲$ {Á≥´ßÈØÈÑʸÖÚ≥O EÖ_Ø˲ ›Î¶Ø˲Öô¯ Á‹Ö∫Ö´ßÊ˛Ö ÃÙ˝Mʸ$ÖyÈ, JMʸ Á≥#sÍM>∆Êˇ MʸrMÊ¸Ö GÀœÁ≥öyÊ˛* H∆Êˇµ∆Êˇ^˲$ {Á≥ܺÖ∫ Á‹”ø͖˲Ö
(1) real, invert (2) real, erect
∞f, ô˲À{MϸÖßÊ˛$À$V> ∞f, ∞rt∞À$–˲#V>
(3) virtual, erect (4) Does not form any image
—$£È≈, ∞rt∞À$–˲#V> {Á≥ܺÖ∫Ö H∆ÊˇµyÊ˛ßÊ˛$

64. The lens which is bounded by one-curved surface is
JMÛ¸ –˲{Mʸô˲ÀÖ MʸÕW EØ˲≤ MʸrMʸÖ
(1) biconvex (2) biconcave
®”Mʸ$ÖøÍM>∆Êˇ ®”Á≥#sÍM>∆Êˇ
(3) plano-concave (4) concavo-convex
Á‹–˲$ô˲À&Á≥#sÍM>∆Êˇ Á≥#sÍM>∆Êˇ&Mʸ$ÖøÍM>∆Êˇ

65. If 25 cm each is the object and image distances due to convex lens, then its focal
length is
25 cm À –˲Á‹$¢ ßÊ˛*∆ÊˇÖ –˲$«ƒÊ˝$$ {Á≥ܺÖ∫ßÊ˛*∆ÊˇÖ MʸÕW EØ˲≤ Mʸ$ÖøÍM>∆Êˇ MʸrMÊ¸Ö ƒÒ˝$$MʸP ØÈøÍ≈Öô˲∆ÊˇÖ
(1) 50 cm (2) 25 cm
(3) 15 cm (4) 12·5 cm

66. The angle between paraxial rays and principal axis is
¥Î∆>MϸfiƒÊ˝$Ãå˝ Mϸ∆Êˇ◊ÍÀMʸ$ –˲$«ƒÊ˝$$ {Á≥´ßÈØÈÑ>∞Mϸ –˲$´ßÊ˛≈ EÖyÊ˛$ M¯◊˝Ö
(1) 0º (2) 45º
(3) 90º (4) 83º

67. Splitting of white light into VIBGYOR colours is called
ô˛ÀœsÏ˝ ∆ÊˇÖVʸ$ M>ÖÜ VIBGYOR ∆ÊˇÖVʸ$À$V> —yÏ˛¥˘–˲# {Á≥{MϸƒÊ˝$
(1) scattering (2) dispersion
Á≥«ÑÛ¸ Á≥◊˝Ö —ÑÛ¸Á≥◊˝Ö
(3) total internal reflection (4) refraction
Á‹ÖÁ≥N∆>~Öô˲∆Êˇ Á≥∆>–˲∆Êˇ¢ØË˛Ö Á≥{MÓ¸øÊ˝–˲Ø˲Ö

/4— A [ 16 ]

68. The light which has the maximum angle of deviation is
Vʸ«ÁŸt —^˲ÀØ˲ M¯◊˝Ö MʸÕWØ˲ M>ÖÜ ∆ÊˇÖVʸ$
(1) red (2) yellow
G∆Êˇ$Á≥# ≥Á ‹Á $Á≥#
(3) violet (4) green
FßÈ BMʸ$Á≥^˲a

69. Blue colour of the sky is due to the scattering of light by the atmospheric molecules
of
BM>‘Ë˝Ö ±Õ ∆ÊˇÖVʸ$ÃZ MʸØ˲Á≥yÊ˛$rMʸ$ M>∆Êˇ◊˝Ö, {Mϸ֮ C–˲”∫yÏ˛ØË ˛H –ÈôÈ–Ë˛∆Êˇ◊˝ Á≥∆Êˇ–Ë˲*◊˝$–˲#À^Û˛ M>ÖÜ Á≥«ÑÛ¸ Á≥◊˝Ö ^˛ÖßÊ˛yÊ˛Ö
(1) H2O (2) CO2
(3) H2 (4) N2 and O2
N2 –˲$«ƒÊ˝$$ O2

70. The power of a lens of focal length 20 cm is
20 cm ØÈøÍ≈Öô˲∆ÊˇÖ MʸÕWØ˲ MʸrMʸ ›Î–˲$∆Êˇ¶≈Ö
(1) 5D (2) 0·2 D
(3) 1D (4) 2D

71. In hypermetropia defect, the image is formed
©∆ÊˇÉ ßÊ˛ñÌŸt ߯ÁŸÖÃZ H∆ÊˇµyÊ˛$ {Á≥ܺÖ∫ ›Î¶Ø˲–˲$$
(1) beyond the retina (2) before the retina
∆ˇsÓ˝ØÈ B–˲À ∆ˇsÓ˝ØÈ –˲$$ÖßÊ˛$
(3) on the retina (4) Does not form an image
∆ˇsÓ˝ØÈÚ≥OØ˲ {Á≥ܺÖ∫Ö H∆ÊˇµyÊ˛ßÊ˛$

72. For a normal human-eye, 2·5 cm is the distance between
›Î´ßÈ∆Êˇ◊˝ –Ë˲*Ø˲–˲#yÏ˛ MʸÖsÏ˝Mϸ, 2·5 cm –Û˛sÏ˝ –˲$´ßÊ˛≈ ßÊ˛*∆Êˇ–˲$$
(1) eye-lens and cornea (2) eye-lens and retina
MʸÖsÏ˝ MʸrM>∞Mϸ –˲$«ƒÊ˝$$ M>«≤ƒÊ˝* –˲$´ßÊ˛≈ MʸÖsÏ˝ MʸrM>∞Mϸ –˲$«ƒÊ˝$$ ∆ˇsÓ˝ØÈMϸ –˲$´ßÊ˛≈
(3) retina and cornea (4) retina and object
∆ˇsÓ˝ØÈMʸ$ –˲$«ƒÊ˝$$ M>«≤ƒÊ˝* –˲$´ßÊ˛≈ ∆ˇsÓ˝ØÈ –˲$«ƒÊ˝$$ –˲Á‹$¢–˲# –˲$´ßÊ˛≈

/4— A [ 17 ] [ P.T.O.

73. In old age, the value of least distance of distinct vision shifts to
–˲ñßÈÆÁ≥≈ÖÃZ Á‹µÁŸtßÊ˛ñÌŸt Mʸ∞ÁŸtßÊ˛*∆ÊˇÖ —À$–˲ –Ë˲*∆Êˇ$ ›Î¶Ø˲Ö
(1) larger value (2) smaller value
GMʸ$P–˲ —À$–˲ –˛OÁ≥#Mʸ$ ô˲Mʸ$P–˲ —À$–˲ –˛OÁ≥#Mʸ$
(3) Does not change (4) None of these
—À$–˲ –˲*∆ÊˇßÊ˛$ C–Û˛“ M>–˲#

74. Electric power is the product of current and
—ßÊ˛$≈ôå˛ ›Î–˲$∆Êˇ¶≈Ö AØ˲$Ø˲® —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝Ö –˲$«ƒÊ˝$$ _____À À∫ÆÖ.
(1) resistance (2) charge
∞∆¯´ßÊ˛Ö B–Û˛‘Ë˝Ö
(3) velocity (4) potential difference
–Û˛VÊ¸Ö ¥˘sÒ˝∞¤ƒÊ˝$Ãå˝ ôÛ˛yÈ

75. Three resistors each of 4 Ω, 0·4 Ω and 0·04 Ω are connected in series combination.
Their equivalent resistance is
4 Ω, 0·4 Ω –˲$«ƒÊ˝$$ 0·04 Ω —À$–˲À$ MʸÕWØ˲ –˲$*yÊ˛$ ∞∆¯´ßÈÀØ˲$ {‘Û˝◊Ï˝ Á‹Ö´ßÈØË˛Ö ^Û˛Ì‹ØÈ∆Êˇ$. –ÈsÏ˝ ÁúÕô˲ ∞∆¯´ßÊ˛Ö
(1) 4·8 Ω (2) 4·44 Ω
(3) 4Ω (4) 0·44 Ω

76. Pick the correct answer from the following two statements :
{Mϸ֮ ∆ˇÖyÊ˛$ –ÈM>≈À Ø˲$ÖyÏ˛ ‹Á «ƒÒ˝$OØ˲ Á‹–˲*´ßÈØË˛Ö GÖ^˲$M¯ÖyÏ˛ :
(a) Ohm’s law is applicable to semiconductors.
A∆ÊˇÆ–ÈÁfl˝M>À$ K–å˛$ ∞ƒÊ˝$–˲*∞≤ ¥ÎsÏ˝›Î¢∆ˇ$$.
(b) Ohm’s law is applicable to metallic conductors.
ÃZÁfl˝Á≥# –ÈÁfl˝M>À$ K–å˛$ ∞ƒÊ˝$–˲*∞≤ ¥ÎsÏ˝›Î¢À$.
(1) Only (a) is true (2) Only (b) is true

(a) –˲*{ô˲–Û˛$ ∞fÖ (b) –˲*{ô˲–Û˛$ ∞fÖ

(3) Both (a) and (b) are true (4) Both (a) and (b) are false

(a) –˲$«ƒÊ˝$$ (b) ∆ˇÖyÊ˛* ∞gÍÃÙ˝ (a) –˲$«ƒÊ˝$$ (b) ∆ˇÖyÊ˛* ô˲Á≥öÃÙ˝

/4— A [ 18 ]

77. 6 watt × second =
6 –Èr$t × Ú‹M¸Ø˲$ =

(1) 6 volt (2) 6 ohm

6 –¯Ãå˝t 6 K–å˛$

(3) 6 joule (4) 6 coulomb

6 goÃå˝ 6 Mʸ*À*Öªå˝

78. The relationship between current and voltage is established by the scientist

—ßÊ˛$≈ôå˛ {Á≥–ȇ∞Mϸ –˲$«ƒÊ˝$$ –¯ÃÙ˝thMϸ –˲$´ßÊ˛≈ VʸÀ Á‹Ö∫Ö´ßÈ∞≤ ∆Êˇ$k–˲# ^Û˛Ì‹Ø˲ ‘>Á‹à–Û˛ô˲¢
(1) Faraday (2) Oersted

∏Î∆ÊˇyÛ˛ BƒÊ˝$∆äˇÚ‹tyä˛
(3) Kirchhoff (4) Ohm

Mϸ∆>Pãú K–å˛$

79. The electrical energy (in kWh) consumed in operating a bulb of 40 W for 5 hours a
day in a month of 30 days is

40 W ›Î–˲$∆Êˇ¶≈Ö MʸÕWØ˲ JMʸ —ßÊ˛$≈ôå˛ ∫À$æØ˲$ ∆¯kMʸ$ 5 VʸÖrÀ$ —∞ƒÒ˝*Wı‹¢, 30 ∆¯kÀ$ VʸÀ Ø˛ÀÃZ —∞ƒÒ˝*VÊ¸Ö AƒÙ˝$≈
—ßÊ˛$≈ôå˛ ‘Ë˝Mϸ¢ (MϸÃZ –Èr$t VʸÖrÀÃZ)
(1) 12 (2) 6

(3) 3 (4) 1·5

80. Which of the following is not a measuring function of a multimeter?

–˲$Œt“$r∆äˇ MˆÀ–˲∞ øoÜMʸ ∆>’
(1) Charge (2) Current

B–Û˛‘Ë˝Ö —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝Ö
(3) Voltage (4) Resistance

–¯ÃÙ˝th ∞∆¯´ßÊ˛Ö

/4— A [ 19 ] [ P.T.O.

81. If R is the resistance of a conductor of length l, then
l ¥˜yÊ˛–˲# VʸÀ –ÈÁfl˝MÊ¸Ö ƒÒ˝$$MʸP ∞∆¯´ßÊ˛Ö R A∆ˇ$$ôÛ˛

1
(1) R ∝ (2) R ∝l
l

(3) R ∝ l (4) R is independent of l

l Ú≥O R B´ßÈ∆ÊˇÁ≥yÊ˛ßÊ˛$

82. Two currents 3 mA and 5 mA are flowing towards the junction in a circuit and
three currents 1 mA, 1·5 mA and x are flowing away. The value of x (in mA) is
3 mA –˲$«ƒÊ˝$$ 5 mA AØ˲$ ∆ˇÖyÊ˛$ —ßÊ˛$≈ôå˛ {Á≥–ȇÀ$ JMʸ —ßÊ˛$≈ôå˛ –˲ÀƒÊ˝$ÖÃZ∞ Á‹Ö´® –˛OÁ≥#Ø˲Mʸ$ –˲$«ƒÊ˝$$ 1 mA,
1·5 mA –˲$«ƒÊ˝$$ x À$ Á‹Ö´® Ø˲$ÖyÏ˛ ßÊ˛*∆ÊˇÖV> {Á≥–˲Ìfl˝ı‹¢ x —À$–˲ (mA ÀÃZ)
(1) 8 (2) 10·5
(3) 2·5 (4) 5·5

83. 1 tesla =
1 sÒ˝›Îœ =
(1) 1 weber (2) 1 weber/metre
1 –˛∫∆äˇ 1 –˛∫∆äˇ/“$r∆äˇ
(3) 1 weber/metre2 (4) 1 watt/metre2
1 –˛∫∆äˇ/“$r∆äˇ2 1 –Èr$t/“$r∆äˇ2

84. The phenomenon of electromagnetic induction involves the process of
—ßÊ˛$≈ßÊ˛ƒÊ˝$›ÎPÖô˲ ßÊ˛ñW”ÁŸƒÊ˝$ÖÃZ f∆Êˇ$Vʸ$ {Á≥{MϸƒÊ˝$
(1) charging a body
–˲Á‹$¢–˲#Ø˲$ B–Û˛‘Ë˝Á≥N«ôË˛Ö ^Û˛ƒÊ˝$yÊ˛Ö
(2) heating a coil
°Vʸ^˲$rtØ˲$ –Û˛yÏ˛ ^Û˛ƒÊ˝$yÊ˛Ö
(3) producing induced current in a coil
°Vʸ^˲$rtÃZ {ı≥«ô˲ —ßÊ˛$≈ôå˛ MʸÀ$Vʸ ^Û˛ƒÊ˝$yÊ˛Ö
(4) preventing damages due to overload
K–˲∆äˇÃZyä˛ –˲Àœ Ø˲⁄ÎtÀØ˲$ ∞–È«Ö^˲yÊ˛Ö

/4— A [ 20 ]

85. If ∆Φ and ∆t are the change in magnetic flux and time respectively, then the
induced EMF is

∆Φ –˲$«ƒÊ˝$$ ∆t À$ AƒÊ˝$›ÎPÖô˲ A¿–ÈÁfl˝ –˲*∆Êˇ$µ –˲$«ƒÊ˝$$ M>À–˲$$ –˲∆Êˇ$Á‹V> B∆ˇ$$ôÛ˛ {ı≥«ô˲ —ßÊ˛$≈ôå˛^ÈaÀMʸ ∫À–˲$$Mʸ$
Á‹*{ô˲–˲$$

∆Φ ∆Φ
(1) (2)
∆t ∆t

∆t
(3) ∆Φ ⋅ ∆t (4)
∆Φ

86. A freely suspended needle of a magnetic compass comes to rest along the geographic

AƒÊ˝$›ÎPÖô˲ ®Mʸ*fi_Ø˲ÖßÊ˛Õ Á‹*®∞ ı‹”^˲eV> EÖ_Ø˲Á≥#yÊ˛$, A® øÊ˝*—$ ƒÒ˝$$MʸP ∞‘Ë˝aÀÌ‹¶ÜMϸ –˲^˲$a ®‘Ë˝À$

(1) north-east direction (2) east-west direction

Eô˲¢∆Êˇ&ô˲*∆Êˇ$µ ®‘Ë˝À$ ô˲*∆Êˇ$µ&Á≥yÊ˛–˲$∆Êˇ ®‘Ë˝À$

(3) south-east direction (4) north-south direction

ßÊ˛Ñϸ◊˝&ô˲*∆Êˇ$µ ®‘Ë˝À$ Eô˲¢∆Êˇ&ßÊ˛Ñϸ◊˝ ®‘Ë˝À$

87. An increase in magnetic flux through a coil of 100 turns in 0·1 s is 0·001 Wb. The
maximum induced EMF generated in the coil is

100 ^˲$r$œ MʸÕWØ˲ °Vʸ^˲$rtÃZ 0·1 s ÃZ MʸÀ$Vʸ$ AƒÊ˝$›ÎPÖô˲ A¿–ÈÁfl˝ Ú≥∆Êˇ$Vʸ$ßÊ˛À 0·001 Wb A∆ˇ$$ôÛ˛ H∆ÊˇµyÊ˛$ Vʸ«ÁŸt
{ı≥«ô˲ —ßÊ˛$≈ôå˛^ÈeÀMʸ ∫À–˲$$ —À$–˲

(1) 1V (2) 10 V

(3) 0·1 V (4) 100 V

/4— A [ 21 ] [ P.T.O.

88. The magnetic force acting on a moving charge in a magnetic field is the product of
three quantities namely
AƒÊ˝$›ÎPÖô˲ ÑÛ¸{ô˲ÖÃZ MʸßÊ˛$À$ô˲$Ø˲≤ B–Û˛‘Ë˝ÖÚ≥O Á≥∞^Û˛ƒÊ˝$$ AƒÊ˝$›ÎPÖô˲ ∫ÀÖ {Mϸ֮ –˲$*yÊ˛$ ∆>‘Ë˝$À À∫Æ–Ë˛$$
(1) charge, speed, electromotive force
B–Û˛‘Ë˝Ö, –˲yÏ˛, —ßÊ˛$≈ôå˛^ÈeÀMʸ ∫À–˲$$
(2) charge, magnetic flux, magnetic flux density
B–Û˛‘Ë˝Ö, AƒÊ˝$›ÎPÖô˲ A¿–ÈÁfl˝Ö, AƒÊ˝$›ÎPÖô˲ A¿–ÈÁfl˝ ›ÎÖ{ßÊ˛ô˲
(3) charge, speed, magnetic flux density
B–Û˛‘Ë˝Ö, –˲yÏ˛, AƒÊ˝$›ÎPÖô˲ A¿–ÈÁfl˝ ›ÎÖ{ßÊ˛ô˲
(4) charge, speed, current
B–Û˛‘Ë˝Ö, –˲yÏ˛, —ßÊ˛$≈ôå˛ {Á≥–ÈÁfl˝Ö

89. An auto driver started an auto rickshaw with the help of pulling a rope. The device
used by him to convert mechanical energy into electrical energy is
JMʸ BsZ[y˛O–˲∆äˇ BsZ«Ñ>Ø˲$ ôÈyÊ˛$ ÃÍVʸyÊ˛Ö Á‹‡ƒÊ˝$Öô¯ ›Ît∆äˇt ^Û˛Ì‹ØÈyÊ˛$. CÖßÊ˛$ÃZ ƒÊ˝*Ö{ÜMʸ ‘Ë˝Mϸ¢, —ßÊ˛$≈ôå˛ ‘Ë˝Mϸ¢V> –˲*∆Êˇ$arMʸ$
–ÈyÏ˛Ø˲ ›Î´ßÊ˛Ø˲Ö
(1) multimeter (2) transformer
–˲$Œt“$r∆äˇ {sÍØå˛fi∏Î∆Êˇ√∆äˇ
(3) dynamo (4) voltmeter
y˛OØ˲–˛* –¯Ãå˝t “$r∆äˇ

90. Faraday’s laws of electromagnetic induction is a consequence of
∏Î∆ÊˇyÛ˛ —ßÊ˛$≈ßÊ˛ƒÊ˝$›ÎPÖô˲ {ı≥∆Êˇ◊˝ Á‹*{ôÈÀ$ AØ˲$Á‹«Ö^˲$ ∞ƒÊ˝$–˲$Ö
(1) conservation of mass
{ßÊ˛–˲≈∆>’ ∞ô˲≈ô˲”Ö
(2) conservation of linear momentum
∆ÛˇTƒÊ˝$ {ßÊ˛–˲≈–Û˛Vʸ ∞ô˲≈ô˲”Ö
(3) conservation of angular momentum
M¯◊Ó˝ƒÊ˝$ {ßÊ˛–˲≈–Û˛Vʸ ∞ô˲≈ô˲”Ö
(4) conservation of energy
‘Ë˝Mϸ¢ ∞ô˲≈ô˲”Ö

/4— A [ 22 ]

SECTION—III : CHEMISTRY

91. Which one of the following can be used as acid-base indicator to detect acidic or
basic nature of solution?
{ßÈ–Ë˛◊˝Ö ƒÒ˝$$MʸP B–˲$œ Ñ>∆Êˇ ÀÑʸ◊ÍÀØ˲$ ô˛À$Á‹$MˆØ˲$rMʸ$ {MϸÖßÊ˛ ô˛À$Á≥∫yÏ˛Ø˲ H Á‹*_MʸØ˲$ –ÈyÊ˛$ôÈ∆Êˇ$?
(1) Turmeric solution (2) Litmus
Á≥Á‹$Á≥# {ßÈ–Ë˛◊˝Ö Õr√ã‹
(3) (1) and (2) (4) None of these
(1) –˲$«ƒÊ˝$$ (2) C–Û˛“ M>–˲#

92. If pH of rain water is less than _____, then it is called acid rain.
–˲∆Êˇ¤Á≥# ±sÏ˝ pH —À$–˲ _____ MʸÖsÙ˝ ô˲Mʸ$P–˲V> EØ˲≤Á≥#yÊ˛$, ßÈ∞∞ B–˲$œ –˲∆Êˇ¤Ö AÖsÍ∆Êˇ$.
(1) 5·6 (2) 7·6
(3) 6·6 (4) 8·6

93. Tooth enamel is made up of
ßÊ˛Öô˲–˲$$ ƒÒ˝$$MʸP GØÈ–˛$Ãå˝ _____ ô¯ ∞«√ô˲–˛$O EÖr$Ö®.
(1) calcium sulphate (2) calcium chloride
M>¸Õ¤ƒÊ˝$Ö Á‹ÃÙ˝πså˝ M>¸Õ¤ƒÊ˝$Ö M¯œ∆ˇOyä˛
(3) calcium phosphate (4) magnesium sulphate
M>¸Õ¤ƒÊ˝$Ö ∏Îı‹πså˝ –˛$X≤ÌŸƒÊ˝$Ö Á‹ÃÙ˝πså˝

94. What do you observe on pouring potassium hydroxide on red and blue litmus papers?
¥˜sÍÌŸƒÊ˝$Ö Úfl˝O{yÈM¸Ofiyä˛ {ßÈ–Ë˛◊˝ÖØ˲$ G∆Êˇ$Á≥# –˲$«ƒÊ˝$$ ±Õ Õr√ã‹ M>WôË˛Ö Ú≥O –Û˛Ì‹Ø˲Á≥#yÊ˛$, “$∆Êˇ$ H —ÁŸƒÊ˝*∞≤ Vʸ$«¢›Î¢∆Êˇ$?
(1) Red litmus remains red and blue litmus turns to red
G∆Êˇ$Á≥# Õr√ã‹ G∆Êˇ$Á≥#V>ØÛ˛ EÖyÊ˛$Ø˲$, M>∞ ±Õ Õr√ã‹ G∆Êˇ$Á≥#V> –˲*∆Êˇ$Ø˲$
(2) Red litmus turns to blue and blue litmus remains blue
G∆Êˇ$Á≥# Õr√ã‹ ±ÀÖV> –˲*∆Êˇ$Ø˲$, M>∞ ±Õ Õr√ã‹ ±ÀÖV>ØÛ˛ EÖyÊ˛$Ø˲$
(3) Red litmus becomes colorless and blue litmus remains blue
G∆Êˇ$Á≥# Õr√ã‹ –˲∆Êˇ~ ∆ÊˇÌfl˝ôË˛Ö AVʸ$Ø˲$, M>∞ ±Õ Õr√ã‹ ±ÀÖV>ØÛ˛ EÖyÊ˛$Ø˲$
(4) Red litmus turns to blue and blue litmus turns to red
G∆Êˇ$Á≥# Õr√ã‹ ±ÀÖV> –˲*∆Êˇ$Ø˲$ –˲$«ƒÊ˝$$ ±Õ Õr√ã‹ G∆Êˇ$Á≥#V> –˲*∆Êˇ$Ø˲$

/4— A [ 23 ] [ P.T.O.

95. The maximum number of electrons in M shell is
M Mʸ∆Êˇµ∆ÊˇÖÃZ EÖyÛ˛ Vʸ«ÁŸx GÀ[M>tØ˲$À Á‹ÖQ≈
(1) 2 (2) 12
(3) 18 (4) 24

96. Which of the following orbitals does not exist?
{Mϸ֮ –È∞ÃZ H B«æsÍ‚å˝ ∞f–˲$$V> EÖyÊ˛ßÊ˛$?
(1) 2p6 (2) 3s1
(3) 4f 12 (4) 2d 3

97. Niels Bohr received Nobel Prize in
±Ãå˝fi ªZ∆äˇ _____ ‘>Á‹àÖÃZ د∫$Ãå˝ Á≥#∆Êˇ›ÎP∆ÊˇÖ ¥˜ÖßÈ∆Êˇ$?
(1) Chemistry (2) Physics
∆Êˇ›ÎƒÊ˝$Ø˲ øoÜMʸ
(3) Biochemistry (4) Biophysics
i–˲∆Êˇ›ÎƒÊ˝$Ø˲ i–˲øoÜMʸ

98. The number of degenerate orbitals present in 4d subshell is
4d B«æsÍ‚å˝ÃZ JMÛ¸ ‘Ë˝Mϸ¢ VʸÀ EÁ≥Mʸ∆Êˇµ∆>À Á‹ÖQ≈
(1) 8 (2) 10
(3) 5 (4) 4

99. Presence of 3 unpaired electrons in nitrogen can be explained by _____ principle.
Ø˛O{sZfØå˛ÃZ 3 fô˲Mʸ*yÊ˛∞ GÀ[M>tØ˲$À$ EÖyÊ˛yÈ∞≤ —–˲«Ö^Û˛ ∞ƒÊ˝$–˲$–˲$$
(1) Aufbau (2) Pauli
Aãúªo ∞ƒÊ˝$–˲$–˲$$ ¥˚Õ ∞ƒÊ˝$–˲$–˲$$
(3) Hund (4) Bohr
Áfl˝Öyä˛ ∞ƒÊ˝$–˲$–˲$$ ªZ∆äˇ ∞ƒÊ˝$–˲$–˲$$

100. Strong ionic bond is formed between _____ and _____ group elements.
∫À–˛$OØ˲ AƒÊ˝*∞Mʸ ∫Ö´ßÊ˛Ö D {Vʸ*Á≥# –˲$*ÀM>À –˲$´ßÊ˛≈ H∆ÊˇµyÊ˛$Ø˲$
(1) I A and II A (2) II A and VIII A
(3) I A and VII A (4) I A and VIII A

/4— A [ 24 ]

101. 1s2, 2s2, 2p6, 3s2, 3p6 (2,8,8) configuration is related to

1s2, 2s2, 2p6, 3s2, 3p6 (2,8,8) —ØÈ≈Á‹–˲$$ _____ Mʸ$ Á‹Ö∫Ö´®Ö_Ø˲®.
(1) P–3 (2) Cl–1
(3) S–2 (4) All of these

A∞≤ƒÊ˝$$
102. Lithium, sodium and _____ are Dobereiner’s triads.

Õ§ƒÊ˝$Ö, ›˘yÏ˛ƒÊ˝$Ö –˲$«ƒÊ˝$$ _____ AØÛ˛— yÈ∫»Ø˲∆äˇ {ÜMʸ–˲$$À$.
(1) S (2) Ca
(3) Cl (4) K

103. IV A group elements are called

IV A group –˲$*ÀM>ÀØ˲$ H–˲$∞ Ì≥À$›Î¢∆Êˇ$?

(1) carbon family (2) chalcogen family

M>∆ÊˇæØå˛ Mʸ$r$Ö∫Ö ^ÈÃZPfØå˛ Mʸ$r$Ö∫Ö
(3) nitrogen family (4) boron family

Ø˛O{sZfØå˛ Mʸ$r$Ö∫Ö ªZ∆>Øå˛ Mʸ$r$Ö∫Ö

104. An element ‘X’ belongs to 2nd group and 3rd period. What is its valency?

2 –˲ {Vʸ*Á≥# –˲$«ƒÊ˝$$ 3 –˲ Ì≥«ƒÊ˝$yä˛Mʸ$ ^˛Ö®Ø˲ ‘X’ AØÛ˛ –˲$*ÀMÊ¸Ö ƒÒ˝$$MʸP –Û˛À∞fi
(1) 1 (2) 2
(3) 3 (4) 4

105. Valance Bond Theory was proposed by

–Û˛À∞fi ∫Ö´ßÊ˛ Ì‹ßÈÆÖô˲–˲$$Ø˲$ {Á≥ܥήÖ_Ø˲®
(1) Lewis (2) Kossel

À*∆ˇ$$ã‹ M¯Ú‹Ãå˝
(3) Pauling (4) Bohr

¥˚ÕÖVä¸ ªZ∆äˇ

/4— A [ 25 ] [ P.T.O.

106. Identify the correct statement.
Á‹« A∆ˇ$$Ø˲ ı‹tså˝–˛$Öså˝Ø˲$ Vʸ$«¢Ö^˲ÖyÏ˛
(1) By losing electron chlorine becomes cation
GÀ[M>tØå˛Ø˲$ M¯ÃZµ–˲yÊ˛Ö ßÈ”∆> M¯œ«Øå˛ M>rƒÊ˝*Ø˲$V> –˲*∆Êˇ$Ø˲$
(2) By losing electron chlorine becomes anion
GÀ[M>tØå˛Ø˲$ M¯ÃZµ–˲yÊ˛Ö ßÈ”∆> M¯œ«Øå˛ BØ˲ƒÊ˝*Ø˲$V> –˲*∆Êˇ$Ø˲$
(3) By gaining electron chlorine becomes cation
GÀ[M>tØå˛Ø˲$ ¥˜ÖßÊ˛yÊ˛Ö ßÈ”∆> M¯œ«Øå˛ M>rƒÊ˝*Ø˲$V> –˲*∆Êˇ$Ø˲$
(4) By gaining electron chlorine becomes anion
GÀ[M>tØå˛Ø˲$ ¥˜ÖßÊ˛yÊ˛Ö ßÈ”∆> M¯œ«Øå˛ BØ˲ƒÊ˝*Ø˲$V> –˲*∆Êˇ$Ø˲$
107. An element 13X27 forms ionic compound. What is the charge on ‘X’ in ionic compound?

13
X27 AØÛ˛ –˲$*ÀMÊ¸Ö AƒÊ˝*∞Mʸ Á≥ßÈ∆>¶∞≤ H∆Êˇµ∆Êˇ_Ö®. A∆ˇ$$Ø˲^¯ B Á≥ßÈ∆Êˇ¶ÖÃZ ‘X’ –˲$*ÀMÊ¸Ö ƒÒ˝$$MʸP B–Û˛‘Ë˝Ö (charge)
GÖô˲?
(1) +1 (2) +2
(3) +3 (4) +4

108. Linus Pauling proposed the concept of
ÃÒ˝OØË˛ã‹ ¥˚ÕÖVä¸ {Á≥ܥήÖ_Ø˲ ø͖˲Ø˲ H®?
(1) ionic bond (2) hydrogen bond
AƒÊ˝*∞Mʸ ∫Ö´ßÊ˛Ö Úfl˝O{y¯fØå˛ ∫Ö´ßÊ˛Ö
(3) hybridization (4) covalant bond
Á‹ÖMʸ»Mʸ∆Êˇ◊˝Ö Á‹ÖƒÒ˝*f±ƒÊ˝$ ∫Ö´ßÊ˛Ö
109. Electronic configuration of O–2 ion is
O–2 AƒÊ˝*Ø˲$ ƒÒ˝$$MʸP GÀ[M>tØå˛ —ØÈ≈Á‹–˲$$
(1) 1s2, 2s2, 2p4 (2) 1s2, 2s2, 2p5
(3) 1s2, 2s2, 2p6 (4) 1s2, 2s2, 2p3

110. The number of electrons gained by non-metallic element is equal to its
JMʸ AÃZÁfl˝ –˲$*ÀMÊ¸Ö ¥˜Ö®Ø˲ GÀ[M>tØ˲$À Á‹ÖQ≈ ßÈ∞ _____ Á‹–˲*Ø˲Ö.
(1) valency (2) group number
–Û˛À∞fi {Vʸ*Á≥# Á‹ÖQ≈
(3) bond angle (4) All of these
∫Ö´ßÊ˛ M¯◊˝Ö A∞≤ƒÊ˝$$

/4— A [ 26 ]

111. Reactivity increasing order of the following metals will be
{Mϸ֮ –˲$*ÀM>ÀÃZ {MϸƒÊ˝*÷Àô˲ Ú≥«VÛ¸ {Mʸ–˲$Ö H®?
(1) K, Na, Ca (2) K, Ca, Na
(3) Ca, Na, K (4) Na, K, Ca

112. Poling process is used to
¥˘ÕÖVä¸ AØÛ˛ {Á≥{MϸƒÊ˝$Ø˲$ _____ Mˆ∆ÊˇMʸ$ –ÈyÊ˛$ôÈ∆Êˇ$.
(1) concentrate the ore (2) reduce the ore
–˲$$yÏ˛ Q∞f ›ÎÖ{©Mʸ∆Êˇ◊˝ Q∞f ÑʸƒÊ˝$Mʸ∆Êˇ◊˝Ö
(3) heat the ore with O2 (4) purify the crude metal
AMϸfifØå˛ô¯´´ßÈô˲$–˲#Ø˲$ –Û˛yÏ˛ ^Û˛ƒÊ˝$r ÃZÁfl˝‘Ë˝$®Æ

113. Corrosion of silver results in the formation of
–˛ÖyÏ˛ ÑʸƒÊ˝$–˲$$ ؈֮Ø˲–˲#yÊ˛$ _____ H∆ÊˇµyÊ˛$Ø˲$.
(1) silver chloride (2) pure silver
Ì‹À”∆äˇ M¯œ∆ˇOyä˛ Á‹”^˲e–˛$OØ˲ –˛ÖyÏ˛
(3) silver nitrate (4) silver sulphide
Ì‹À”∆äˇ Ø˛O{sÙ˝så˝ Ì‹À”∆äˇ Á‹ÃÒ˝Oπyä˛

114. During corrosion, a metal will
ÃZÁfl˝–˲$$ ÑʸƒÊ˝$–˲$$ ؈֮Ø˲Á≥#yÊ˛$, B ÃZÁfl˝–˲$$
(1) be oxidised (2) lose electrons
BMÓ¸fiMʸ∆Êˇ◊˝Ö ^˛ÖßÊ˛$Ø˲$ GÀ[M>tØ˲$ÀØ˲$ M¯ÃZµ–˲#Ø˲$
(3) be reduced (4) (1) and (2)
ÑʸƒÊ˝$Mʸ∆Êˇ◊˝Ö ^˛ÖßÊ˛$Ø˲$ (1) –˲$«ƒÊ˝$$ (2)

115. Replacing one hydrogen from NH3 by alkyl group will result in the formation of
BÃÒ˝OPÃå˝ {Vʸ*Á≥# ßÈ”∆>, NH3 Ø˲$ÖyÏ˛ JMʸ Úfl˝O{y¯fØå˛Ø˲$ ôˆÀWÖ_Ø˲ _____ {Vʸ*–˲# H∆ÊˇµyÊ˛$Ø˲$.
(1) aldehyde (2) ketone
BÕzÚfl˝Oyä˛ MÓ¸sZØå˛
(3) amine (4) ester
A–˛$OØå˛ GÁ‹t∆äˇ

/4— A [ 27 ] [ P.T.O.

116. What is the structural formula of simplest ketone?
{Mϸ֮ –È∞ÃZ AÜ ›Î´ßÈ∆Êˇ◊˝ (simplest) MÓ¸sZØå˛ H®?
(1) CH3 — O — CH3 (2) CH3 — NH2
O O
|| ||
(3) CH3 — C — CH3 (4) CH3 — C — OH

117. Ethene and ethyne differ in the
D£Û˛Øå˛ –˲$«ƒÊ˝$$ C£˛OØå˛ —øÙ˝®Ö^Û˛ AÖ‘>À$
(1) number of carbons (2) number of bonds
M>∆ÊˇæØå˛À Á‹ÖQ≈ ∫Ö´ßÊ˛–˲$$À Á‹ÖQ≈
(3) number of hydrogens (4) (2) and (3)
Úfl˝O{y¯fØå˛À Á‹ÖQ≈ (2) –˲$«ƒÊ˝$$ (3)

118. Identify the dimethyl ether.
y˛O—$£˛OÃå˝ D£Ê˛∆äˇ Ø˲$ Vʸ$«¢Ö^˲ÖyÏ˛
O
||
(1) CH3 — C — CH3 (2) CH3 — O — CH 3

O O
|| ||
(3) CH3 — C — OCH3 (4) CH3 — C — OH

119. Saturated hydrocarbons contain
Á‹Öô˲µÁ≥¢ Úfl˝O{y¯M>∆ÊˇæØå˛À$ _____ MʸÕW EÖyÊ˛$Ø˲$.
(1) at least one double bond (2) at least one triple bond
Mʸ±Á‹Ö JMʸ ®”∫Ö´ßÊ˛Ö Mʸ±Á‹Ö JMʸ {Ü∫Ö´ßÊ˛Ö
(3) all single bonds (4) at least one ionic bond
A±≤ HMʸ ∫Ö´ßÊ˛–˲$$À$ Mʸ±Á‹Ö JMʸ AƒÊ˝*∞Mʸ ∫Ö´ßÊ˛Ö
120. Aliphatic hydrocarbons are
BŒ∏ÎsÏ˝Mä¸ Úfl˝O{y¯M>∆ÊˇæØå˛À$ AØÛ˛—
(1) closed chain hydrocarbons (2) acyclic hydrocarbons
Á‹Ö–˲ñô˲ ‘Ë˝ñÖQÀ Úfl˝O{y¯M>∆ÊˇæØå˛À$ A^˲{MÓ¸ƒÊ˝$Úfl˝O{y¯M>∆ÊˇæØå˛À$
(3) open chain hydrocarbons (4) (2) and (3)
—–˲ñô˲ ‘Ë˝ñÖQÀ Úfl˝O{y¯M>∆ÊˇæØå˛À$ (2) –˲$«ƒÊ˝$$ (3)

/4— A [ 28 ] AA(P)24/1(106)

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