GENERAL INSTRUCTIONS
1. Question paper contains 70 questions of Mathematics (1 to 25), Physics (26 to 35),
Chemistry (36 to 45), Biology (46 to 55) & Mental Ability (56 to 70), each question carry
3 mark.
2. Blank papers, clip boards, log tables, slide rule, calculators, mobile or any other
electronic gadgets in any form is not allowed.
3. Write your Name and Roll No. in the space provided in the bottom of this booklet.
4. Before
answering the paper, fill up the required details in the blank space provided
in the answer sheet.
5. Do not forget to mention your roll number neatly and clearly in the blank space provided
in the answer sheet.
6. There is no negative marks for wrong answer.
7. No rough sheets will be provided by the invigilators. All the rough work is to be done in
the blank space provided in the question paper.
8. In case of any dispute, the answer filled in the OMR sheet available with the institute
shall be final.
Time : 1½ Hr. Max. Marks : 210
IMARKING CRITERIA
Correct Incorrect Blank
No. of Questions Type
1–70 Only one correct 0Q. No. 1 to 70 (3 Mark each)
Marks
NO NEGATIVE MARKS
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Reso-FAST SAMPLE TEST PAPER
Name : ________________________________________________ Roll No. : ___________________________
(PRESENTLY STUDYING IN CLASS-IX IN 2019-20)
FOR STUDENTS MOVING IN CLASS-X IN 2020-21
Reso FAST_SAMPLE TEST PAPER _CLASS-X/WINNER_PAGE # 2
Physics :
Motion
Force and newton’s laws
Gravitation
Chemistry :
Matter in our surroundings
Is matter around us pure
Biology :
Fundamental unit of life
Tissue
Improvement in food resources
Mathematics :
Number system
Polynomials
Coordinate geometry
Lines and angles
Congruent triangles
Linear equations in two variables
Mental Ability :
Number-series
Alphabet-series
Missing term in figures
Coding-eecoding
Direction sense test
Seating arrangement
Puzzle test
Syllogism
Calendar test
Dice test
Venn Diagram
Syllabus of Class-IX_ Reso FAST
(Space For Rough Work)
Reso FAST_SAMPLE TEST PAPER _CLASS-X/WINNER_PAGE # 3
1. Which of the following is incorrect?
(A) Euclid fifth postulate imply the existence of
parallel lines.
(B) Two points are always collinear.
(C) Two lines perpendicular to the same line
are parallel to each other.
(D) None of these.
2. In the given figure AB = AC and ACD = 110°,
then the value of A is
(A) 20°. (B) 30°.
(C) 40°. (D) 50°.
3. Choose the rational number which does not lie
between rational numbers
5
2
and
5
1
(A)
4
1
(B)
10
3
(C)
10
3
(D)
20
7
4. x and x + y are the square of two consecutive
natural number. What is the square of the next
natural number ?
(A) x + 2y (B) x + 2y + 2
(C) x + 3y (D) x + y
2
5. If
3
x
24
8x11
8
6x3
=
24
7x
4
x3
, then the
value of x is
(A) x = 3 (B) x = 2
(C) x = 1 (D) x = 4
6. If 8
x – 1
= 2
x + 3
, value of x will be
(A) 2 (B) 4
(C) 1 (D) 3
7. If AOBD is a square then find the coordinates
of point A.
3
2
4
1
1
–3 –24–5 1
1 2 4 53
+Y - axis
+X axis
O
–X axis
–Y - axis
(– 4, 4)
AB
(0, 8)
D
5
6
7
(A) (4,4
2
) (B) (4, 4)
(C) (4
2
,4) (D) None of these
8. Given two lines
and m, these lines :
7
7
n
m
(A) Will intersect on left side of line n
(B) Will intersect on right side of line n
(C) are parallel
(D) None of these
9. In the given figure, AB || CD, ABO = 40°
and CDO = 30°. If DOB = x°, then the
value of x is :
O
A
C
40°
30°
x
(A) 35 (B) 110
(C) 70 (D) 140
(Space For Rough Work)
Reso FAST_SAMPLE TEST PAPER _CLASS-X/WINNER_PAGE # 4
10. A man born in the first half of the 19th century
was x years old in the year x
2
. He was born in:
(A) 1849 (B) 1806
(C) 1812 (D) 1825
11. In the given figure, x > y. Hence
L
M
N
x
y
(A) LM = LN
(B) LM < LN
(C) LM > LN
(D) None of these
12. If m and n are natural numbers such
that
487
=
m
+
n
then m
2
+ n
2
equals :
(A) 25 (B) 37
(C) 29 (D) 41
13. If N =
223
15
2525
then the value of N is :
(A)
22
1 (B) 2
(C) 1 (D)
25
14. W hich is the greatest number amongst
2
1/2
, 3
1/3
, 8
1/8
and 9
1/9
?
(A) 9
1/9
(B) 8
1/8
(C) 3
1/3
(D) 2
1/2
15. What is the remainder when the polynomial
p(x) = x
200
2x
199
+ x
50
2x
49
+ x
2
+ x + 1 is
divided by (x – 1) (x2) ?
(A) 1 (B) 7
(C) 2x + 1 (D) 6x – 5
16. If
c
r
b
q
a
p
= 1 and
r
c
q
b
p
a
= 0 then the
value of
2
2
2
2
2
2
c
r
b
q
a
p
is :
(A) 0 (B) 11
(C) 9 (D) 1
17. If x,y are positive real numbers satisfying the
system of equations x
2
+ y
xy
= 336,
y
2
+ x
xy
= 112, then x + y equals
(A)
448
(B)
224
(C) 20 (D) 40
18. x and y are real numbers such that 7
x
16y = 0
and 4
x
– 49 y = 0, then the value of (y – x) is
(A)
2
5
(B)
5
19
(C)
2013
4115
(D)
784
1569
19. In the adjoining figure AB = AC and DEF is an
equilateral triangle . Then
A
B
D
E
F
b
a
c
(A) a + b + c = 180° (B) a + b = 2c
(C) a =
2
cb
(D) a + c = 2b
(Space For Rough Work)
Reso FAST_SAMPLE TEST PAPER _CLASS-X/WINNER_PAGE # 5
20. The number of squares on a coordinate plane
with one vertex at A(–2, 2) and at least one of
the coordinate axes as axis of symmetry of the
square is
(A) 3 (B) 5
(C) 6 (D) 7
21. How many number of lines does pass through
two distinct points.
(A) 3 (B) 2
(C) 1 (D) 4
22. In ADE, ADE = 140°. B and C are points on
AD and AE respectively. A,B,C,D,E are all
distinct. If AB = BC = CD = DE then EAD is
equal to
(A) 1 (B) 2
(C) 7 (D) None of these
23. Find the value of
2
2
1
1
2
3
1
1
2
4
1
1
......
2
2007
1
1
(A)
2007
2008
(B)
2007
1004
(C)
2008
2007
(D) 1
24. The value of x which satisfy
6x2
5x3
7x4
5x6
is :
(A) –1 (B) 2
(C) 1 (D) –2
25. One fourth of one third of one half of a number
is 12, then number is :
(A) 284 (B) 286
(C) 290 (D) 288
26. The unit of change in momentum is :
(A) N × s (B) N/s
(C) N (D)
m
xskg
27. If a force is conservative :
(A) work is path independent
(B) it will be central
(C) potential energy remains constant
(D) none of these
28. A body goes from A to B with a velocity of 20 m/s
and comes back from B to A with a velocity of 30
m/s. The average velocity of the body during the
whole journey is :
(A) Zero (B) 24 m/s
(C) 25 m/s (D) None of these
29. The value of g on earth surface is 9.8 m/s
2
, then
the value of g at earth’s centre in m/sec
2
is :
(A) 9.8 (B) 19.6
(C) 4.9 (D) zero
30. The weight of a boy on the surface of moon is
300 N. The weight of this boy on the surface of
earth is :
(A) 300 N (B) 5 N
(C) 50 N (D) 1800 N
31. A body is thrown up with an initial velocity u
and covers a maximum height of h, then h is
equal to :
(A)
g2
u
2
(B)
g2
u
(C) 2 ug (D) None of these
32. The value of g on moon is 1 / 6 th of the value of
g on earth . A man can jump 1.5 m high on the
earth.He can jump on the moon upto a height
of :
(A) 9 m (B) 7.5 m
(C) 6 m (D) 4.5 m
33. Weightlessness experienced while orbitting in
a space ship is the result of :
(A) Inertia (B) Zero gravity
(C) Centre of gravity (D) Acceleration
(Space For Rough Work)
Reso FAST_SAMPLE TEST PAPER _CLASS-X/WINNER_PAGE # 6
34. Two blocks, one of iron (i) and the other of wood
(w) are dropped from a height at the same time.
If the time taken by the blocks to reach the
ground is T
i
and T
w
respectively, then :
(A) T
i
< T
w
(B) T
i
= T
w
(C) T
i
> T
w
(D) T
i
= 1/2 T
w
35. When a space ship is at a distance of two
earth's radius from the centre of the earth, the
gravitational acceleration is :
(A) 19.6 ms
-2
(B) 9.8 ms
-2
(C) 4.9 m/s
2
(D) 2.45 ms
-2
36. What happens to the volume of the aqueous
solution when small amount of sugar is dissolved
in it ?
(A) Volume increases
(B) Volume decreases
(C) Volume first increases then decreases.
(D) No change in volume.
37. Which of the following is not correct for gases ?
(A) Gases have definite mass.
(B) Gases have definite shape.
(C) Gases have definite volume.
(D) Both (B) and (C)
38. On changing which of the following, the states
of matter will change ?
(A) Temperature (B) Pressure
(C) (A) & (B) both (D) None of these
39. Melting & freezing point of water -
(A) are same.
(B) have large difference between them.
(C) have close difference between them.
(D) None of these
40. During evaporation, particles of a liquid change
into vapours only -
(A) from the surface.
(B) from the bulk.
(C) from both surface and bulk.
(D) neither from surface nor from bulk.
41. Rate of evaporation depends upon -
(A) temperature (B) surface area
(C) humidity (D) All of these
42. Air is regarded as a -
(A) compound (B) mixture
(C) element (D) electrolyte
43. Colloids which is not possible
(A) Gas in liquid (B) Liquid in liquid
(C) Solid in solid (D Gas in Gas
44. Which of the following provides an example of
a true solution ?
(A) Blood (B) Milk
(C) Starch solution (D) Sugar solution
45. Which of the following will show Tyndall effect ?
(A) Starch solution
(B) Sodium chloride solution
(C) Copper sulphate solution
(D) Sugar solution
46. The endomembrane system of the cell
includes
(A) mitochondria. (B) plastids.
(C) nucleus. (D) ER
47. The membrane bound structures of the golgi
apparatus are called
(A) plastids. (B) vacuoles.
(C) cisternae. (D) ribosomes
48. The fluid content of the vacuoles is called
(A) water. (B) cell sap.
(C) cytoplasm. (D) nucleoplasm.
49. Chromosomes are made of:
(A) DNA only
(B) DNA and fats
(C) DNA and proteins
(D) DNA and carbohydrates
(Space For Rough Work)
Reso FAST_SAMPLE TEST PAPER _CLASS-X/WINNER_PAGE # 7
50. Part of body which is not exclusively supplied
with involuntary muscles
(A) muscular coats of blood vessels.
(B) muscles of limbs
(C) muscles of iris.
(D) muscles of urethra.
51. Mast cells secrete
(A) histidine. (B) histamine.
(C) antibodies. (D) troponin
52. Protein present in the matrix of cartilage is
known as
(A) chondrin (B) chitin.
(C) cellulase. (D) casein.
53. Plants take up nitrogen in the form of
(A) free nitrogen.
(B) molecular nitrogen.
(C) amino acids.
(D) nitrates and nitrites.
54. The most common species of honey bee
maintained for collecting honey and wax is
(A)
Apis dorasata. (B) Apis florae.
(C) Apis indica. (D) Apis mellifera
55. The practice concerned with the improvement
of animals is
(A) poultry.
(B) animal husbandry.
(C) bee keeping.
(D) fishery.
Direction : (56 to 59) Find the missing terms.
56. 7,19, 55, 163, _
(A) 387 (B) 329
(C) 527 (D) 487
57. 5, 3, 6, 2, 7, 1, ?
(A) 0 (B) 2
(C) 8 (D) 4
58. ZGL, XHN, VIQ, TJU, ?
(A) RKX (B) RKY
(C) RLZ (D) RKZ
59.
(A) 169 (B) 168
(C) 85 (D) 706
Direction : (60) Which sequence of letters when placed
at the blanks one after the other will complete
the given letter series ?
60. a – b a a – a a – – a b
(A) a a a a (B) b a a a
(C) b b a a (D) a b b a
61. If MERCHANT is NDSBIZOS, then CANCER is
(A) BZMBDQ (B) BBMBDQ
(C) DBODFS (D) DZOBFQ
62. DRAMA is coded as 37 and STAGE as 52. How
will you code ACTOR ?
(A) 56 (B) 50
(C) 57 (D) 67
63. If the alphabets were written in the reverse order,
which letter will be the fifth letter to the left of
the fourteenth letter from the left.
(A) R (B) I
(C) S (D) H
64. How many pairs of letters are there in the word,
‘EXPERIENCED ‘which have as many letters
between them in the word as in alphabet ?
(A) One (B) Three
(C) Four (D) More than four
65. Which interchange of signs will make the
following equation true ?
12 – 3 × 2 ÷ 18 + 6 = 9
(A) ÷, – (B) ÷, +
(C) ×, – (D) +,
66. Pointing to a person, Rohit said to Neha, “His
mother is the only daughter of your father. “How
is Neha related to that person ?
(A) Aunt (B) Mother
(C) Daughter (D) Wife
Direction : (67) Read following information carefully and
answer the questions given below it :
(i) A and B are good in Biology & Chemistry.
(ii) A & C are good in Biology & Physics.
(iii) C,D & E are good in Physics & History.
(iv) C & E are good in Physics & Mathematics.
(v) D & B are good in Chemistry & History.
67. Who is good in Physics, History & Mathematics
but not in Biology ?
(A) D (B) C
(C) A (D) E
Direction : (68) Study the given information and answer
the questions that following.
(i) P, Q, R, S T, U and V are sitting in a row
facing East.
(ii) R is on the immediate right of S.
(iii) Q is at left extreme and has T as his
immediate neighbour.
(iv) V is exactly between T and U.
(v) S is sitting third from the South end.
68. Who is sitting to the immediate right of T ?
(A) P (B) V
(C) S (D) U
69. In a queue of boys Sohan is 9th from the back.
Ramesh's place is 8th from the front. Radhey
is standing in between the two. What could be
the minimum number of boys standing in the
queue?
(A) 8 (B) 10
(C) 12 (D) 14
70. A man starts from his house and walks 3 km.
towards South, then he turns left and walks 5
km. In which direction he is from his house ?
(A) South (B) East
(C) South East (D) North
Reso FAST_SAMPLE TEST PAPER _CLASS-X/WINNER_PAGE # 8
Ques. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Ans.
D C C B A D B C C B C A C C D
Ques. 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Ans.
D C D C B C A B C D A A A D D
Ques. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45
Ans.
A A B B D D D C A A D B D D A
Ques. 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Ans.
D C B C B B A D D B D C D B D
Ques. 61 62 63 64 65 66 67 68 69 70
Ans.
D C A D B B D B B C
ANSWER KEY