MSCE Pune 8th Scholarship 2023 Question Paper Urdu Paper 1

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SECTION - I

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SECTION - II

MATHEMATICS
26. Factors of a polynomial are (x – 7) (x – 8). Find the polynomial.
(1) x2 + 15x + 56 (2) x2 + 15x – 56
(3) x2 – 15x + 56 (4) x2 – 15x – 56
27. Reena had some flowers. She prepared garlands from them. When she made
every garland of 12 flowers, she was left with 11 flowers. If she had used 16
flowers for each garland then she would have left with 15 flowers. If she had
used 18 flowers for each garland then she would have left with 17 flowers.
Find the minimum number of flowers that she may have.
(1) 161 (2) 155
(3) 143 (4) 145
28. The sides forming right angle of a right angled triangle are 7 cm and 24 cm.
Find the radius of the circumcircle of the triangle.
(1) 25.0 cm (2) 12.5 cm
(3) 12 cm (4) 13.5 cm
29. Every year the population of a town decreases by 5% due to migration of the
people. In the year 2022 the population was 9025. Find the population of the
town in the year 2020?
(1) 10,000 (2) 11,000
(3) 11,025 (4) 10,250
30. The denominator of a fraction is greater than its numerator by 6. If the
numerator is decreased by 1 and the denominator is increased by 9, then the
new fraction is equivalent with 12 . Find the original fraction.

(1) 15 (2) 17
23 23
(3) 13 (4) 23
19 17

0211-Urdu Set-A 8 of 32 Contd...

SECTION - II

x2 + 15x – 56 x2 + 15x + 56
x2 – 15x – 56 x2 – 15x + 56

1
2
17 15
23 23
23 13
17 19

0211-Urdu Set-A 9 of 32 P.T.O.

31. Solve. (Select two correct options)
3x + 2 + 2x + x + 1 = 5
6 3 2
(1) 52 (2) 2.5

(3) 3.5 (4) 3 12

32. If an article is sold for Rs. 150, certain loss is incurred. But if the article is
sold for Rs. 275, the profit is one and half times the loss. Find the original
price of the article.
(1) 225 (2) 250
(3) 175 (4) 200

33. 2x2 + 7x + 6
Simplify -
x2 – 13x – 30

(1) 2x + 3 2x - 3
x - 15 (2) x + 15

(3) 2x - 3 (4) 2x + 3
x - 15 x + 15
34. To complete a job, ‘A’ requires 12 days. For the same job, ‘B’ requires 20
days to complete the job. Both of them worked together for 3 days and then A
left the job. To complete the remaining job, how many days ‘B’ will require?
(1) 18 (2) 15
(3) 12 (4) 10

35. Mrs. Desai purchased 30 tables. Out of that she sold 25 tables and received the
same amount which she had spent to purchase 30 tables. Find the percentage
of profit or loss in this transaction.
(1) 25% profit (2) 20% profit
(3) 20% loss (4) 25% loss

0211-Urdu Set-A 10 of 32 Contd...

3x + 2 + 2x + x + 1 = 5
6 3 2
5
2
3 12

2x2 + 7x + 6
x2 – 13x – 30
2x - 3 2x + 3
x + 15 x - 15
2x + 3 2x - 3
x + 15 x - 15

0211-Urdu Set-A 11 of 32 P.T.O.

36.
3x = 27 y = 9 z = 729. Find the value of ^ xyzh2 .
3

(1) 36 (2) 216
(3) 6 (4) 11

37. Which of the following polynomial has the co-efficient form (2, 0, 0, 0, 0, –5)?
(1) 2x4 – 5 (2) 2x6 – 5
(3) 2x5 – 5 (4) x5 – 5

38. A ditch 20 m. long 10 m. wide and 5 m. deep was dug and soil was spread
evenly over a ground that was 25 m. long and 20 m. wide. What was the
thickness of the soil spread? (Choose two correct options)
(1) 20 decimeter (2) 20 cm.
(3) 2.0 m. (4) 20 m.

39. The diameter of a ball is 20 cm. Find the volume of the air in the ball.
(π = 3.14)
(1) 41866.7 cubic cm. (2) 4186.67 sq. cm.
(3) 418.67 cm3. (4) 4186.67 cubic cm.

40. The price of a washing machine is Rs. c 5y + 6x m . Find the price of c 6x - 5y m
washing machines.

(1) x2
d 36 -
25 n (2) x2
d 36 +
25 n
y2 y2

cx -
2
m
y2 25 - x 2 n
(3) 36 25 (4) d
y 2 36
41. A car travelled the distance 38 km, 27 km, 40 km, 35 km in the first four
hours respectively. How much distance the car should travel in the fifth hour,
so that the average speed of the car will be 35 km/hr?
(1) 25 km (2) 40 km
(3) 45 km (4) 35 km

0211-Urdu Set-A 12 of 32 Contd...

^ xyzh2 = ?
3
3 x = 27 y = 9 z = 729

2x6 – 5 2x4 – 5
x5 – 5 2x5 – 5

c x - 5y m c 5y + x m
6 6
x 2
d 36 +
25 n x2
d 36 -
25 n
y2 y2
25 x 2
d 2 - 36 n y2
cx - m
2

y 36 25

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GRAPH SHEET

Directions for Question 42 and 43.
 In the following ‘Percentage Bar Diagram’ the percentage of expenditure and
savings of Shri Tushar is shown. Observe the graph and answer the questions
that follow.

Measurement :
On Y-axis
1 cm = 10%
Y-axis
Savings
Expenditure
100

90
Percentage Expenditure and Savings

80

70

60

50

40

30

20

10

0 X-axis
January

February

March

April

May

Months

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GRAPH SHEET

100

90

80

70

60

50

40

30

20

10

0

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42. Shri. Tushar’s income in the month of February was Rs. 40,500. Find his
savings in that month.
(1) 12,150 (2) 28,350
(3) 12,500 (4) 28,000

43. Find the ratio of savings to expenses for the month of ‘May’.
(1) 17 : 3 (2) 5 : 17
(3) 17 : 5 (4) 3 : 17

44. Laxmanrao purchased shares worth Rs. 10,500 and paid 0.5% brokerage. Find
the amount spent to purchase the shares including brokerage.
(1) 15,052.50 (2) 52.50
(3) 10,552.50 (4) 1,044.50

45. Choose the correct alternative in which all the pairs are matched correctly.
A) y2 – 17y – 60 a. ( y – 12) ( y – 5)
B) y2 – 17y + 60 b. ( y + 20) ( y – 3)
C) y2 + 17y – 60 c. ( y – 20) ( y + 3)
D) y2 + 17y + 60 d. ( y + 12) ( y + 5)
(1) A- c , B - d , C - a , D - b (2) A- c , B - a , C - b , D - d
(3) A- a , B - c , C - d , D - b (4) A- d , B - b , C - a , D - c

46. The inner surface of a cylindrical well of height 14m and radius 250 cm is to
be plastered with cement-sand layer. At the rate of Rs. 100 per square meter,
what will be the total cost in rupees?
(1) 22,000 (2) 22,00,000
(3) 2,20,000 (4) 220

0211-Urdu Set-A 16 of 32 Contd...

y2 – 17y – 60 a. ( y – 12) ( y – 5)

y2 – 17y + 60 b. ( y + 20) ( y – 3)

y2 + 17y – 60 c. ( y – 20) ( y + 3)
y2 + 17y + 60 d. ( y + 12) ( y + 5)

0211-Urdu Set-A 17 of 32 P.T.O.

S R
T M

47. A shopkeeper sold two articles with marked price Rs. 1900 to A and B. He
sold one article to A by giving discount of Rs. 171 and sold another article
to B by giving discount of Rs. 152. How much was the difference between
the percentage of discount given to A and B?
(1) 0.5 (2) 19 (3) 1 (4) 0.1

48. In the adjoining figure ∠y = 90°, l(xy) = 8m. l(yz) = 15m, WM ⊥ XZ,
WM = 6m. Find the area of the figure.
W (1) 171

6m (2) 111
X (3) 162
M
(4) 222
8m

Y Z
15 m

49. Two lines are intersecting each other. The measures of the vertically opposite
angles in a pair are (2x + 65)° and (7x – 10)°. Find the measures of each
remaining angle.
(1) 95° (2) 85° (3) 75° (4) 105°

50. AC is the diameter of a circle. ‘B’ is any point on the circle. Find the false
statement from the following. (Choose two correct options)
(1) ∠ BCA < 90°
(2) ∆ BCA is an acute angled triangle
(3) ∠ CAB > 90°
(4) Measurement of the arc ABC = 180°

0211-Urdu Set-A 18 of 32 Contd...

T M

W

6
X
M

8

Y Z
15

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51. Two rectangular grounds have area 1541 sq. m. and 759 sq. m. respectively.
If both the grounds have same breadth, find the breadth of the ground.
(1) 33 m. (2) 69 m.
(3) 23 m. (4) 67 m.

52. If (17 × 19 × 4) ÷ m = 161.5 then find the value of ‘m’.
(1) 0.6 (2) 7.0
(3) 0.8 (4) 8.0

53. Find the value of 992 14
(1) 31.05 (2) 31.5
(3) 31.25 (4) 32.5

54. Which of the following is an irrational number?

(1) 3.14 (2) 22
7
(3) π (4) 3.142857

55. Where is the ortho centre of a right angled triangle located?
(1) In the interior of the triangle. (2) On the vertex of the right angle.
(3) In the exterior of the triangle. (4) Anywhere on the triangle.

56. Four numbers p, q, r and s are in proportion. Then find the correct statement
from the following. (Choose two correct options)
p q p q
(1) r = s (2) s = r

(3) pq = rs (4) sp = qr

0211-Urdu Set-A 20 of 32 Contd...

992 14

22
7
3.142857

p q p q
s = r r =s

0211-Urdu Set-A 21 of 32 P.T.O.

57. ‘x’ years hence, Mariya’s age will be ‘y’ years. Then find her age 10 years
before.
(1) y – x + 10 (2) y – x – 10
(3) y + x + 10 (4) y + x – 10

58. Find the value of 31.25%.
(1) 165 (2) 3
16

(3) 5 12
16 % (4) 40
59. In the adjoining figure ∠TPQ ≅ ∠TPR. Side PQ ≅ side PR. Then by which
test ∆ QPT and ∆ RPT are congruent?
P

T

Q R

(1) S-A-S (2) S-S-S
(3) A-S-A (4) S-A-A

60. The measure of an angle is 15 times the measure of its supplementary angle.
Find the measure of its complementary angle.
(1) 30° (2) 90°
(3) 150° (4) 60°
B

C O D

A

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3 5
16 16
12 5
40 16 %

P

T

Q R

1
5

B

C O D

A

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P

61. A school had arranged a trip and started on Saturday at 6.30 a.m. They returned
the next day on Sunday, at 8.15 p.m. Duration of the trip was for how many
hours?

(1) 25 34 hours (2) 37 34 hours
T
(3) 37 14 hours (4) 47 hours 45 minutes

Q R
62. A square piece of paper having length 8 cm. is taken, squares of size 1 cm  ×  1 cm
are cut at its four corner places. Find the difference between the perimeters
of the original paper and the paper which is cut at its corner places in cms.
(1) 0 (2) 8
(3) 1 (4) 4

63. Observe the following figure and select the correct statements.

B

C O D

A

(A) Line AB and line BA are different lines.
(B) Line AB and line DC intersect at ‘O’.
(C) Point C, O and B are non-collinear points.
(1) ‘A’ and ‘B’ are correct. (2) ‘B’ and ‘C’ are correct.
(3) ‘A’, ‘B’ and ‘C’ are correct. (4) ‘A’ and ‘C’ are correct.

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P

3 3
4 T 4
1
4
Q R

B

C O D

A

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64. Find the capacity of a hollow cube whose side is 10 cm. (Choose two correct
options)
(1) 1 litre (2) 1000 cubic cm
(3) 1000 litre (4) 100 ml

65. Area of a circle is denoted by ‘A’ and radius by ‘r’. Choose the correct statement
from the following that states the correct relation of variation between A and r.
(1) A ∝ r (2) A ∝ 12
r

(3) A ∝ 1r (4) A ∝ r2

66. Find the correct pair of twin prime numbers from the following in which the
addition of twin prime numbers is more by 44 than the sum of all prime
numbers between 1 to 25.
(1) 71, 73 (2) 41, 83
(3) 59, 61 (4) 41, 43

67. If the ratio of the measures of angles of xABCD taken in order is 7 : 8 : 4 : 5.
Find the type of xABCD.
(1) Kite (2) Rhombus
(3) Trapezium (4) Parallelogram

68. Find the smallest number from the following such that when it is divided by
every one digit prime number, every time the remainder is 1.
(1) 106 (2) 211
(3) 31 (4) 71

0211-Urdu Set-A 26 of 32 Contd...

A ∝ 12 A∝ r
r
A ∝ r2 A ∝ 1r

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69. Saurabh invested Rs. 5000 for 3 years at rate 10 p.c.p.a. with simple interest.
Yashashri invested same amount for the same period at the same rate of interest
with compound interest. Compare the interests earned by Saurabh and Yashashri.
(Select two correct option)
(1) Interest received by Yashashri was less by Rs. 1655 than Saurabh received.
(2) Interest received by Yashashri was more by Rs. 155 than Saurabh received.
(3) Interest received by Saurabh was more by Rs. 155 than Yashashri received.
(4) Interest received by Saurabh was less by Rs. 155 than Yashashri received.

70. Which of the following can be the measure of an angle in the minor segment?
(1) 45° (2) 135°
(3) 180° (4) 90°

(4.9)3 + (2.1)3
71. Find the value of
(4.9)2 – (10.29 × 1) + 4.41
(1) 0.7 (2) 2.8
(3) 28.42 (4) 7.0

72. There is a regular hexagon having each side 14 cm. On every side a semicircle
is drawn from outside the hexagon, taking each side as the diameter. Find the
perimeter of the figure so formed.
(1) 132 cm (2) 308 cm
(3) 216 cm (4) 123 cm

0211-Urdu Set-A 28 of 32 Contd...

(4.9)3 + (2.1)3
(4.9)2 – (10.29 × 1) + 4.41

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73. In the adjoining figure, an isosceles trapezium is drawn. The measurements
of sides of the figure are as follows.
l(QR) = l(PS) = 5 units,
l(PQ) = 5 units, l(PT) = 4 units. Find the area of xPQRS.

P 5 Q

5
4

S R
T M

(1) 32 units (2) 44 sq. units
(3) 32 sq. units (4) 24 sq. units

74. Instead of investing Rs. 3000 with simple interest for two and half years, if
Rs. 4000 are invested with simple interest for two years, interest of Rs. 25 is
earned more. What is the rate of interest?
(1) 10 % (2) 6%
(3) 4 % (4) 5%

75. Read the following statements and choose the correct alternative.
W
(A) 29, 31 are twin prime numbers.
(B) 29, 31 are co-prime numbers.
6 ‘r.
(C) 29, 31 are prime numbers.
X
(1) ‘A’, ‘B’, ‘C’ are correct.
M (2) Only ‘A’ and ‘C’ are correct.
(3) Only ‘B’ and ‘C’ are correct. (4) Only ‘A’ and ‘B’ are correct.
8 ‘r.
Y Z
15 ‘r.

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P 5 Q

5
4

S R
T M

W

6 ‘r.
X
M

8 ‘r.

Y Z
15 ‘r. FOR ROUGH WORK
SPACE

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