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Tamil Nadu Board of Secondary EducationSSLC (English Medium) कक्षा ९

SSLC (English Medium) कक्षा ९ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

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Mathematics
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Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and table tennis and 6 play all the three games. Find the number of students who play chess and carrom but not table tennis (Hint: Use Venn diagram)

[1] Set Language
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Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and table tennis and 6 play all the three games. Find the number of students who play only chess (Hint: Use Venn diagram)

[1] Set Language
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Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and table tennis and 6 play all the three games. Find the number of students who play only carrom (Hint: Use Venn diagram)

[1] Set Language
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In a class of 50 students, each one come to school by bus or by bicycle or on foot. 25 by bus, 20 by bicycle, 30 on foot and 10 students by all the three. Now how many students come to school exactly by two modes of transport?

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If n(A ∪ B ∪ C) = 100, n(A) = 4x, n(B) = 6x, n(C) = 5x, n(A ∩ B) = 20, n(B ∩ C) = 15, n(A ∩ C) = 25 and n(A ∩ B ∩ C) = 10, then the value of x is

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For any three sets A, B and C, (A – B) ∩ (B – C) is equal to

[1] Set Language
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If J = Set of three sided shapes, K = Set of shapes with two equal sides and L = Set of shapes with right angle, then J ∩ K ∩ L is

[1] Set Language
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The shaded region in the Venn diagram is

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In a city, 40% people like only one fruit, 35% people like only two fruits, 20% people like all the three fruits. How many percentage of people do not like any one of the above three fruits?

[1] Set Language
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Without actual division, find the following rational numbers have terminating decimal expansion

`7/128`

[2] Real Numbers
Chapter: [2] Real Numbers
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Without actual division, find the following rational numbers have terminating decimal expansion

`21/15`

[2] Real Numbers
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Which one of the following has a terminating decimal expansion?

[2] Real Numbers
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The smallest rational number by which `1/3` should be multiplied so that its decimal expansion terminates with one place of decimal is

[2] Real Numbers
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When written with a rational denominator, the expression `(2sqrt(3))/(3sqrt(2))` can be simplified as 

[2] Real Numbers
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The length of a rectangle is (3x + 2) units and it’s breadth is (3x – 2) units. Find its area in terms of x. What will be the area if x = 20 units

[3] Algebra
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Find the volume of a cuboid whose dimensions are length = 12 cm, breadth = 8 cm, height = 6 cm

[7] Mensuration
Chapter: [7] Mensuration
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Find the volume of a cuboid whose dimensions are length = 60 m, breadth = 25 m, height = 1.5 m

[7] Mensuration
Chapter: [7] Mensuration
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The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes

[7] Mensuration
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The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500 cm3, then find its dimensions

[7] Mensuration
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The length, breadth and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in litres

[7] Mensuration
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