Msce Pune 8th Scholarship 2021 Question Paper Urdu Paper 1

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SECTION - I

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SECTION - II
MATHEMATICS

26. 1 1
a-b + b-a = ?
1 – b h + ^a - b h
^a +
(1) (2)
a+b ^a - b h ^b - a h

(3) 1 (4) 0

27. 
The LCM of two co-prime numbers is 910 and their sum is 83. What will be
the difference between the two numbers?
(1) 57 (2) 60
(3) 81 (4) 75

28. 
Two right angled scalene triangles are joined along their hypotenuse. Which of
the following figures will be formed? (Select two correct options)
(1) Rhombus (2) Kite
(3) Rectangle (4) Trapezium

29. 
60 l. milk contains 15% fats and 40  l. milk contains 8% fats. If these two milk
are mixed together, then what will be the % of fats contained in the mixture?
(1) 87.8 % (2) 12.2 %
(3) 1220 % (4) 122 %
1 1 1
3
27 # 36 2 # 81 4
30. Find the value of : 1 1
42 2
(1) 64 25 # 400 (2) 5.4
(3) 0.54 (4) 0.064

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SECTION - II

1 1
a-b + b-a
– b h + ^a - b h
^a + 1
^a - b h ^b - a h a+b

1 1 1
3 2 4
27 # 36 # 81
1 1
42 2
25 # 400

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31. 
In a circle, the measure of a major arc is 60° more than double the measure of
its minor arc. What will be the measure of its major arc?
(1) 100° (2) 300°
(3) 220° (4) 260°

32. Write the degree of the product of ^ x3 - 27 h ^ x 2 + 2x + 2 h
(1) 6 (2) 5
(3) 3 (4) 2

33. Which of the following options indicate the volume of a sphere?
(1) 13 × 2 r r 3 r r 2
(2) 3× 4 r
(3) 34 × r 3 (4) 4r × r 2
3

34. 
Rohit purchased a 3 year old used machine from Mohit for Rs. 8,57,375. If
the rate of depreciation is 5%, for how much did Mohit must have bought the
machine ?
(1) Rs. 10,00,000 (2) Rs. 12,00,000
(3) Rs. 8,00,000 (4) Rs. 9,00,000

35. Which of the following are the factors of a trinomial?
(a – b)2 – 17 (a – b) – 60 ?
(1) (a – b – 12) (a – b + 5) (2) (a – b +  12) (a – b – 5)
(3) (a – b + 20) (a – b – 3) (4) (a – b – 20) (a – b + 3)

^3x + 7 h is an even number. What will be the square of ‘x’ from the following
36. 
options?
(1) Odd number (2) Even number
(3) Prime number (4) Twin prime number

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^ x3 - 27 h ^ x 2 + 2x + 2 h

r r 2 1 × 2rr3
3× 4 r 3
4r × r 2 4 3
3 3× r

(a – b)2 – 17 (a – b) – 60
(a – b +  12) (a – b – 5) (a – b – 12) (a – b + 5)
(a – b – 20) (a – b + 3) (a – b + 20) (a – b – 3)

‘x’ ^3x + 7 h

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2
37. 
Abdul covered th distance between the towns A and B by car and 12 the
5
distance by bus. Still town B is 15 km away. What may be the distance between
the town A and B ?
(1) 105  km (2) 450  km
(3) 75  km (4) 150  km

38. 
The capacity of a bucket is 10  l. If it is to be filled to its full capacity, how
many bottle of 1.25 l will have to be emptied in it?
(1) 8 bottles (2) 80 bottles
(3) 10 bottles (4) 100 bottles

39. 
If a supplementary angle of an angle’s complementary angle is 108°, find the
measure of the angle.
(1) 72° (2) 18°
(3) 98° (4) 198°

40. 
In the adjoining figure, the diagonal of a square is 12 cm. Find the length of
every side.
o‘mr
2 gc
112

(1) 6 cm (2) 6 cm
2
(3) 12 2 cm (4) 6 2 cm

41. (0.3)2 + (0.1)2 – (0.2)2 = ? (Select two correct options)
1
(1) 0.6 (2) ^0.36 h 2

(3) 0.0036 (4) 0.06

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1 2
2 5

2 gcm
o‘r
112

6
2

2 12 2

(0.3)2 + (0.1)2 – (0.2)2

1
^0.36 h 2
0.06 0.0036

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42. 
Four vertices of a square lie on the circle as shown in the figure. The center of
the circle is ‘O’ and radius is 7cm. Find the area of the shaded portion.

O

(1) 54 sq. cm (2) 55 sq. cm
(3) 56 sq. cm (4) 57 sq. cm

43. 
I n the adjoining figure, l, m, n are parallel lines. m ∠ DAO = 60°,
m ∠ OCE = 35°, then m ∠ AOC = ?
D A l
60 º

m
B O G
35º n
E C

(1) 25° (2) 95°
(3) 85° (4) 105°

44. 
Which of the options given below are incorrect statements? (Select two correct
alternatives)
a. A ray has a midpoint.
b. A line has a midpoint.
c. Chord of a circle has a midpoint.
d. Perpendicular bisector of a line segment passes through its midpoint.
(1) a (2) b
(3) c (4) d

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‘O’

O

m ∠ OCE = 35° m ∠ DAO = 60° n m      l

m ∠ AOC =

D A l
60 º

m
B O G
35º n
E C

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Which of the following terms, when added to the binomial 1 + 64 a2 b2, will
45. 
make it a perfect square? (Select two correct alternatives)
(1) 16 ab (2) 8 ab
(3) – 8 ab (4) – 16 ab

46. By which of tests, ∆ ABC and ∆ DCB from the given figure will be congruent?
A D

B C
(1) SSS test (2) SAA test
(3) ASA test (4) SAS test

47. Find the ratio of x and y, if a number is 20% of ‘x’ and another is 25% of ‘y’.
(1) 5  :  4 (2) 4  :  5
(3) 2  :  3 (4) 3  :  2

48. 
The weight of 20 students from a class is given in the frequency table. Find the
mean of their weights. (Select two correct alternatives)
Weights of the students (in kg) Frequency (f)
20 11
21 8
22 1
(1) 20 kg 50 gm (2) 20.5 kg
(3) 20.05 kg (4) 20 kg 500 gm

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1 + 64 a2 b2

∆ DCB   ∆ ABC
A D

B C

y x (y) (x)

x
20 11
21 8
22 1

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49.  ABCD is a cyclic quadrilateral. Point E lies on the ray BC as B – C – E.
If m ∠ DCE = 95°, then m ∠ DAB =  ?

(1) 85° (2) 95°
(3) 190° (4) 170°

50. From a rectangular thermocol sheet with dimension 20 cm × 10 cm, a rectangular
piece of 2 cm × 5 cm dimension is cut. Which of the following sentences will
be correct for the thermocol sheet?
20 cm
10 cm

(1) Perimeter will increase (2) Perimeter will decrease
(3) Perimeter will remain same (4) Perimeter will get doubled

51. Find the incorrect statement from the following:
(a) Every prime number is a natural number.
(b) Every rational number is a real number.
(c) Sum of any two prime numbers is an even number
(d) HCF of twin prime numbers is 1.
(1) a (2) b
(3) c (4) d

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 ABCD
m ∠ DAB m ∠ DCE = 95°

20 go‘r
10 go‘r

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52. In the figure, line l and m intersect in point O. Find the value of ‘y’.
l m

34º

yº O

(1) 164° (2) 56°
(3) 34° (4) 146°

53. 
Read the following statements and select the correct alternative. (Two correct
options)
(A) The numbers divisible by 3 and 4 are divisible by 8.
(B) All numbers that are divisible by 2 and 9 are divisible by 18.
(C) The numbers divisible by 6 and 10 are divisible by 2.
(1) Statement ‘A’ incorrect (2) Statements ‘B’ and ‘C’ are correct
(3) Statements ‘A’ and ‘B’ are correct (4) Statement ‘C’ incorrect

54. 
Which of the following conditions should be given to make the total surface area
of a sphere and cylinder to be equal?
(1) Diameter of a sphere should be equal to the radius of a cylinder.
(2) Radius and height of a cylinder is equal to the radius of a sphere.
(3) Radius of a cylinder should be double the radius of sphere.
(4) Height of a cylinder should be equal to the diameter of the sphere.

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y O m l

l m

34º

yº O

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55. 
A fruit seller purchased 48 dozen bananas at the rate of Rs. 48 per dozen.
1 dozen bananas were spoiled. He sold the remaining bananas at Rs. 72 per
dozen. How much profit or loss did he incurr in this transaction?

(1) Rs. 1080 loss (2) Rs. 1080 profit
(3) Rs. 72 loss (4) Rs. 48 profit

56. 
In a cuboid shape tank, water is being poured from the tap at the rate of
60  l/min. The capacity of the tank is 108 cu.m. How much time will be required
to fill the tank to half of its capacity?
(1) 10 hrs. (2) 3 hrs.
(3) 30 hrs. (4) 15 hrs.

57. 
What will be the compound interest on Rs. 30,000 at the rate of 12% p.a. in
1 12 years?
(1) Rs. 5400 (2) Rs. 6516
(3) Rs. 5696 (4) Rs. 5616

58. 
Using the digit only once, from one digit prime number form the greatest and
smallest 4 digit number. Which of the following options will not divide the
difference between these numbers completely?
(1) 3 (2) 5
(3) 9 (4) 7

59. Which of the following options is not a pythagorean triplet?
(1) (3, 4, 5) (2) (7, 24, 25)
(3) (8, 15, 17) (4) (5, 13, 14)

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1 12

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- 119
60. What is the product of two integers between which lie?
13
(1) 65 (2) 90
(3) – 72 (4) +72

(169) 2 - 1
61. = How much?
(13) 2 - 1
(1) 171 (2) 168
(3) 169 (4) 170

62. 
I had to give Rs. 7 change to Rickshaw uncle. I had enough coins of Rs. 1,
Rs. 2, Rs. 5. Then in how many ways can I pay him?
(1) 6 ways (2) 3 ways
(3) 5 ways (4) 4 ways

63. 
The average age of Ria and her 4 friends is 24 years. Their ages are (3m – 2),
(2m + 7), (4m – 7), (3m), (3m + 2) respectively. Find the value of ‘m’
(1) 7 (2) 9
(3) 8 (4) 5

64. 
As the rate of ticket of a play increased by 25%, the sale reduced by 15%. What
is the rise or fall in the total income?
(1) 6.25 % rise (2) 6.25 % fall
(3) 12.5 % rise (4) 12.5 % fall

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- 119
13

(169) 2 - 1
(13) 2 - 1

(4m  –  7)    (2m  +  7)   (3m  –  2)

m (3m + 2) (3m)

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65. Which of the following are the factors of (a3 – 8b3) ?
(1) (a – 2b) (a2 – 2ab + 4b2) (2) (a – 2b) (a2 – 2ab – 4b2)
(3) (a – 2b) (a2 + 2ab + 4b2) (4) (a – 2b) (a2 + 2ab – 4b2)

66. 
The length, breadth and height of a cuboid is ‘l’ cm, ‘b’ cm, ‘h’ cm. If
l b = 60  sq. cm, bh = 24 sq. cm, hl = 40 sq. cm, then find the volume of cuboid.
(1) 248 cu.cm (2) 240 cu.cm
(3) 600 cu.cm (4) 420 cu.cm

67. Solve the equation and find the value of x,
x-5 x+2
+ = 0
5 2
(1) 0 (2) 0.7
10 13
(3) (4)
7 2

68. 
A semicircle is drawn over a diameter. The circumference of the semicircle is
72 units. l(BC) = l(AO) = l(OC). Find the permimeter of ∆ ABC.
B

A O C
(1) 42 + 14 3 units (2) 56 3 units
(3) 56 units (4) 42 3 + 14 units

69. 
Which of the following options is the co-efficient form of the polynomial
(x5 – 4x) ?
(1) (1, – 4) (2) (1, 0, 0, 0, – 4, 0)
(3) (1, 0, 0, 0, – 4) (4) (1, 0, 0, 0, 4)

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(a3 – 8b3)
(a – 2b) (a2 – 2ab – 4b2) (a – 2b) (a2 – 2ab + 4b2)
(a – 2b) (a2 + 2ab – 4b2) (a – 2b) (a2 + 2ab + 4b2)

l b = 60 h b l
hl = 40 bh = 24

x
x-5 x+2
+ = 0
5 2

13 10
2 7
∆ ABC
B

A O C

56 3 42 + 14 3
42 3 + 14

(x5 – 4x)
(1, 0, 0, 0, – 4, 0) (1, – 4)
(1, 0, 0, 0, 4) (1, 0, 0, 0, – 4)

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70. 
Sureshrao sold an article for Rs. 1962 and earned a profit of 9%. What was the
cost price of that article?
(1) Rs. 1900 (2) Rs. 1850
(3) Rs. 1950 (4) Rs. 1800

71. m \ 1n If m = 30 then n = 5. Write the equation of variation.
(1) m = 6n (2) mn = 150
(3) n = 150 m (4) mn = 6

72. 
In ∆ PQR, angle bisectors of ∠ Q and ∠ R intersect at point O. m ∠ O = 130°,
m∠P = ?

(1) 50° (2) 100°
(3) 80° (4) 130°

73. 
A farmer purchased a pump at Rs. 6600 after getting a discount of 12% on the
printed price. What might be the printed price of the pump?
(1) Rs. 7500 (2) Rs. 6500
(3) Rs. 5700 (4) Rs. 8500

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n = 5 m = 30 m \ 1n

mn = 150 m = 6n
mn = 1 n = 150 m

∠P = ∠ O = 130° ‘O’ ∠R ∠Q ∆ PQR

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Instructions for the Q. 74 and Q. 75. The sale and purchase of a merchant for the year
2017 for 3 months is shown through a bar graph. Observe it and answer the questions.

y

Index : Purchase

Sale

x
April May    June

74. What type of bar graph is it?
(1) Divided bar graph (2) Joint bar graph
(3) Percentage bar graph (4) Simple bar graph

75. Find the ratio of total purchase to total sale for the three months.
(1) 7:3 (2) 10 : 13
(3) 13 : 10 (4) 7:5

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y

x

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