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PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions

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Write the component statement of the compound statement and check whether the compound statement is true or false:

 x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.

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Write the component statement of the compound statement and check whether the compound statement is true or false:

The sand heats up quickly in the sun and does not cool down fast at night.

 
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Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 

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Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 

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Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.

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Determine whether the compound statement are true or false: 

Delhi is in England and 2 + 2 =5.

 
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Write the negation of  statement:

For every x ϵ Nx + 3 < 10

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Write the negation of  statement:

 There exists x ϵ Nx + 3 = 10

 
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Negate  statement:
 All the students completed their homework.

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Negate of the  statement :

There exists a number which is equal to its square.

 

 

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

You can access the website only if you pay a subscription fee.

 

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

There is traffic jam whenever it rains.

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

 It is necessary to have a passport to log on to the server.

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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.

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

 The game is cancelled only if it is raining.

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

 It rains only if it is cold.

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

 Whenever it rains it is cold.

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

 It never rains when it is cold.

 
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Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.

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Check the validity of the statement:

q : 125 is a multiple of 5 and 7.

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