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26. Which of the following square number is the difference between the 49th even number after 1575 and 70th even number before 1028 ?
(1) 24 (2) 28 (3) 19 (4) 26
27. When Ravina read 34 th part and 17 pages of a Marathi book, 28 pages
were left to be read. When Kajal read 35 th part and 20 pages of History
book, 26 pages were left to be read.
How many more pages are there in Ravina's book than the number of pages in the book that Kajal has?
(1) 65 (2) 75 (3) 55 (4) 45
28. The ratio of the present ages of Aryan and Aditi is 4 : 5. Ratio of the present ages of Aditi and Atharva is 3 : 2. If the present age of Aryan is 24 years, find the present age of Atharva.
(1) 30 years (2) 16 years (3) 18 years (4) 20 years
30. In the options below, lengths of 3 sides, to draw a triangle are given. In which option we can't draw a triangle ?
(1) 5.5 cm, 4 cm, 7 cm (2) 7.2 cm, 3.7 cm, 5.2 cm
(3) 4.2 cm, 3.4 cm, 8.5 cm (4) 8 cm, 4 cm, 5.3 cm
31. The diameter of a wheel of a bullock cart is 1.4 m. How much distance will be covered if the wheel completes 750 rotations? (Choose two correct options)
(1) 3300 m (2) 4400 m (3) 3.3 km (4) 4.40 km
32. How much more or less than 600 is the sum of all those two digit prime numbers that we get by interchanging the digits from the two digit prime numbers ?
(1) more by 171 (2) less by 161
(3) more by 161 (4) less by 171
33. 100 64
1
6
36=?
2 2( ) ( )
( )−− (Choose two correct options)
(1) 23 (2) 8 (3) 100 (4) 1
34. The measures of four angles of a quadrilateral are (2x + 10)°, (3x + 15)°, (4x – 30)° and (2x – 20)° respectively; then find the measure of the smallest exterior angle of it.
35. Two electric poles are erected on the ground. The height of the poles is 20 m and 28 m respectively. The distance between the poles is 15 m. To join the top of the poles, how much wire will be required ?
(1) 8 m (2) 15 m (3) 48 m (4) 17 m
36. Factorise the following expression and choose the correct alternative.
27
643
3x
x−
(1) 3 49 12
162
2x
xx
x+
− +
(2) 3 4
9 12162
2x
xx
x−
+ +
(3) 3 49 12
162
2x
xx
x−
− −
(4) 3 4
9 1216
2
2xx
xx
+
+ +
37. If 5 16
7 18=2
3
xx
−−
, find x
(1) 16 (2) 20 (3) 15 (4) 12
38. Adesh walked 200m to North from his house. Then he turned in 90° and walked 150m to west. Again he turned in 90° and walked 300m to the North. After some time, he again turned through 90° and walked 150m to West. Then he turned through 90° to his left and walked 100m to the south. How far is he now, from his house?
(1) 900 m (2) 750 m (3) 500 m (4) 600 m
39. 23 km 46 Decameter – 19 km 8 Hectometer 6 Decameter =? (Choose two correct options)
40. The presentage of Shreya's mother is 4 times the age of Shreya, After 6 years her mother's age will be 2 1
2
times the age of Shreya. Find the present age of Shreya.
(1) 8 years (2) 10 years (3) 6 years (4) 9 years
41. The squares given in the following figure are congruent. The area of the given figure is 54 sq. units. Find the perimeter of the given figure.
(1) 54 sq. units (2) 63 units (3) 162 units (4) 54 units
42. If a = m, b = m – 4, c = m + 2, then 4a + 3 b – 7c = ?
(1) 26 (2) 14 (3) –26 (4) –14
43. There are two wires of length 44 cm each. One wire is turned to give the form of a circle and the other is turned in the form of a square. Find the difference in the areas of two figures so formed.
(1) 110 cm2 (2) 33 cm2
(3) 66 cm2 (4) 44 cm2
44. Which of the following alternatives are not correct?
(1) A square can be called as a rectangle.
(2) All the properties of a rhombus are present in a square.
(3) If the side of a square is doubled then its area is 4 times the original area.
(4) All the properties of a square are present in a parallelogram.
Space for Rough Work
0111 – A P.T.O.16 of 32
45. vko`Qrhrhy js[kk PQ || js[kk RS o js[kk EF || js[kk GH rj ∠MNH. ps eki fdrh\
51. Ameya had ` 360 with him. The number of notes of ` 10 is double the number of notes of 50 and the number of notes of 5 are more by 12 than the number of notes of ` 50. Find the total number of notes.
(1) 36 (2) 30 (3) 24 (4) 28
52. 3
61
4
as a percent will become :
(1) 18% (2) 48% (3) 52% (4) 66%
53. A sum amounts to ` 7440 in 3 years and to ` 8400 in 5 years by simple interest. Find the rate of interest.
(1) 8% (2) 6% (3) 10% (4) 9%
54. The multiplicative inverse of 1
m +n is – 19. If n = –4, find 'm'
(1) 15 (2) 23 (3) –15 (4) –23
55. To join all the points on the circumference of the circle how many more segments should be drawn ?
56. Gopichand gives 40% discount on the purchase of ` 50,000. Hiralal gives first 25% discount on the purchase of ` 50,000 and then again gives 15% discount to the customers. How much more or less amount will Hiralal receive than Gopichand?
(1) less by `1875 (2) more by `1785
(3) more by `1875 (4) no difference
57. The present population of a city is 3,02,500. If the population increases by 10% every year, what was the population of the city two years ago?
(1) 2,80,000 (2) 2,75,000
(3) 2,48,000 (4) 2,50,000
58. Line AB || Line RS || Line CD. Line PQ is the transversal. Find the total number of pairs of corresponding angles and interior angels.
A
R
C N
Q
D
S
BO
M
P
.
(1) 12 (2) 24 (3) 18 (4) 28
59. The surface area of a sphere is 1386 cm2. Find the radius of the sphere.
60. Which polynomial will you get after subtracting (4 + 9y + 2x) from the sum of (8x – 6y + 4) and (6y – 3x + 7)?
(1) 3x – 9y + 7 (2) 3x – 3y + 7
(3) 7x + 9y + 15 (4) 7x – 9y – 15
61. Which of the following statements are false. (Choose two correct options)
(1) Average of five consecutive odd numbers is an odd number.
(2) The average of the given numbers in a group can be more than each number in the group.
(3) Average of two even numbers can be an odd number.
(4) If every number in a given group is reduced by a common number, then the average of the group does not change.
62. A fruit-seller purchased 48 dozens oranges at the rate of 48 per dozen, out of that 1 dozen oranges were spoiled. He sold the remaining oranges at the rate of ` 6 per orange. Find the profit that he earned in this transaction.
(1) 1128 (2) ` 1220
(3) 1080 (4) ` 1440
63. Find the degree of the following polynomial.
m5 n2 p + 4 m4 n7 + 23 m3 n2 p + 15 m2.
(1) 11 (2) 14 (3) 7 (4) 2
Space for Rough Work
0111 – A P.T.O.26 of 32
64. vko`Qrheè;s OP ⊥ ST. thok LM thok ST, o 'O' gk osQæ¯cnw vkgs- ON = 6 cm LM = 16 lseh rj ;k orqZGkr lokZr eksBh thok fdrh ykachph dk<rk ;sbZy\
izfrfu/h dk;kZy;kr dehr deh fdrh fnolkauh ,d=k HksVrhy\
(1) 48 (2) 32 (3) 24 (4) 72
Space for Rough Work
0111 – A P.T.O.27 of 32
64. In the following figure, seg OP ⊥ seg ST, chord LM | | chord ST, 'O' is the centre of the circle. ON = 6 cm and LM = 16 cm. Find the length of the longest chord that can be drawn in circle.
L MN
O
PS T
(1) 32 cm (2) 20 cm (3) 12 cm (4) 22 cm
65. The length of a side of a rhombus is 4.1 cm and one of its diagonals is 1.8 cm long. Find the area of the rhombus.
(1) 10.8 sq. cm (2) 3.6 sq. cm
(3) 7.2 sq. cm (4) 8.1 sq. cm
66. m+1
mm
1
m= ?
2 2
− −
(1) 0 (2) 42
2+
m (3) m
m
2
2
1+
(4) 4
67. A company deputed three representatives to promote its sales. The representatives were instructed that the first representative should report after every 6 days, the second representative should report after every 8 days and the third, representative should report after every 12 days, in the office. Find the minimum number of days when all the three will meet in the office together.
72. How many times will be the area of a square with side 20 cm to that of the area of a square with diagonal 20 cm.
(1) Half (2) Two times
(3) Four times (4) Three times
73. Two articles were sold for ` 1485 each. One of them incurred a loss of 10% while the other earned a profit of 10%. What was the percentage of profit or loss in the overall transaction ?
(1)1.0%profit (2)5%loss
(3)1.0%loss (4)Noprofitnoloss
Instructions for Q. Nos. 74 to 75 : The following pie diagram show the monthly expenses of a family on different items. If the monthly income of the family is ` 23,400 answer the following questions.
(A) Education
(B) Miscellaneous expenses
(C) Clothing
(D) Food grains
50°A
90°B
76°C
144°D
74. What is the total expenditure on Education?
(1) 3250 (2) ` 5850 (3) 11700 (4) ` 9360
75. How much more expenses are incurred on clothing to that on Foodgrains?