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Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

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Mathematics
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Write down the converse of following statements:

If a rectangle ‘R’ is a square, then R is a rhombus.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write down the converse of following statements:

If today is Monday, then tomorrow is Tuesday.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write down the converse of following statements:

If you go to Agra, then you must visit Taj Mahal.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write down the converse of following statements:

If the sum of squares of two sides of a triangle is equal to the square of third side of a triangle, then the triangle is right-angled.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write down the converse of following statements:

If all three angles of a triangle are equal, then the triangle is equilateral.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write down the converse of following statements:

If x : y = 3 : 2, then 2x = 3y.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write down the converse of following statements:

If S is a cyclic quadrilateral, then the opposite angles of S are supplementary

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write down the converse of following statements:

If x is zero, then x is neither positive nor negative.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write down the converse of following statements:

If two triangles are similar, then the ratio of their corresponding sides are equal.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Using contrapositive method prove that if n2 is an even integer, then n is also an even integers.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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The contrapositive of the statement “If 7 is greater than 5, then 8 is greater than 6” is ______.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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The converse of the statement “If x > y, then x + a > y + a” is ______.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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The converse of the statement “If sun is not shining, then sky is filled with clouds” is ______.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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The contrapositive of the statement “If p, then q”, is ______.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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The statement “If x2 is not even, then x is not even” is converse of the statement ______.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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The contrapositive of statement ‘If Chandigarh is capital of Punjab, then Chandigarh is in India’ is ______.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Find the variance and standard deviation for the following data: 57, 64, 43, 67, 49, 59, 44, 47, 61, 59

[13] Statistics
Chapter: [13] Statistics
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Calculate variance of the following data:

Class interval Frequency
4 – 8 3
8 – 12 6
12 – 16 4
16 – 20 7

Mean `(barx) = (f_ix_i)/(f_i) = (3 xx 6 + 6 xx 10 + 4 xx 14 + 7 xx 18)/20` = 13

[13] Statistics
Chapter: [13] Statistics
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Calculate mean, variation and standard deviation of the following frequency distribution:

Classes Frequency
1 – 10 11
10 – 20 29
20 – 30 18
30 – 40 4
40 – 50 5
50 – 60 3
[13] Statistics
Chapter: [13] Statistics
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Variance of the data 2, 4, 5, 6, 8, 17 is 23.33. Then variance of 4, 8, 10, 12, 16, 34 will be ______.

[13] Statistics
Chapter: [13] Statistics
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