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PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions

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Write of the statement in the form "if p, then q". 

 It is necessary to be rich in order to be happy.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write of the statement in the form "if p, then q". 

 The game is cancelled only if it is raining.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write of the statement in the form "if p, then q". 

 It rains only if it is cold.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write of the statement in the form "if p, then q". 

 Whenever it rains it is cold.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write of the statement in the form "if p, then q". 

 It never rains when it is cold.

 
[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Check the validity of the statement:

q : 125 is a multiple of 5 and 7.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Check the validity of the statement:

 r : 60 is a multiple of 3 or 5.

 
[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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If a is the G.M. of 2 and \[\frac{1}{4}\] , find a.

[8] Sequence and Series
Chapter: [8] Sequence and Series
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 statement are true and false? In each case give a valid reason for saying so

 p : Each radius of a circle is a chord of the circle.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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 statement are true and false? In each case give a valid reason for saying so

q : The centre of a circle bisects each chord of the circle.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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 statement are true and false? In each case give a valid reason for saying so

r : Circle is a particular case of an ellipse.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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 statement are true and false? In each case give a valid reason for saying so

 s : If x and y are integers such that x > y, then − x < − y.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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 statement are true and false? In each case give a valid reason for saying so

 t :  \[\sqrt{11}\]  is a rational number. 

 

 

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Find the two numbers whose A.M. is 25 and GM is 20.

[8] Sequence and Series
Chapter: [8] Sequence and Series
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Construct a quadratic in x such that A.M. of its roots is A and G.M. is G.

[8] Sequence and Series
Chapter: [8] Sequence and Series
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If AM and GM of roots of a quadratic equation are 8 and 5 respectively, then obtain the quadratic equation.

[8] Sequence and Series
Chapter: [8] Sequence and Series
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If AM and GM of two positive numbers a and b are 10 and 8 respectively, find the numbers.

[8] Sequence and Series
Chapter: [8] Sequence and Series
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Prove that the product of n geometric means between two quantities is equal to the nth power of a geometric mean of those two quantities.

[8] Sequence and Series
Chapter: [8] Sequence and Series
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