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In which of the following statement "And...

In which of the following statement "And" is not used as basic connective ·
p : L.C .M. of 5 and 3 is 15
q : 108 is a multiple of 2, 3, 6 and 36
r : Water is a compound of hydrogen and oxygen
s : Product of an even number and odd number is always odd

A

p only

B

q, r only

C

p, r and s

D

p and s

Text Solution

AI Generated Solution

The correct Answer is:
To determine in which of the statements "and" is not used as a basic connective, we will analyze each statement one by one. ### Step 1: Analyze Statement P - **Statement P**: "L.C.M. of 5 and 3 is 15." - Here, "and" is used to connect the two numbers 5 and 3 to form the L.C.M. Thus, it is not functioning as a basic connective because it does not join two separate propositions or statements. ### Step 2: Analyze Statement Q - **Statement Q**: "108 is a multiple of 2, 3, 6 and 36." - In this statement, "and" connects multiple propositions: "108 is a multiple of 2," "108 is a multiple of 3," "108 is a multiple of 6," and "108 is a multiple of 36." Therefore, "and" is functioning as a basic connective here. ### Step 3: Analyze Statement R - **Statement R**: "Water is a compound of hydrogen and oxygen." - Similar to Statement P, "and" connects hydrogen and oxygen, but it does not join two separate propositions. It is stating a fact about water. Hence, "and" is not used as a basic connective in this statement. ### Step 4: Analyze Statement S - **Statement S**: "Product of an even number and odd number is always odd." - In this case, "and" connects "even number" and "odd number," but it is not joining two separate statements. It describes a relationship between the two types of numbers. Therefore, "and" is not a basic connective here as well. ### Conclusion From the analysis: - In statements P, R, and S, "and" is not used as a basic connective. - In statement Q, "and" is used as a basic connective. Thus, the correct answer is that "and" is not used as a basic connective in statements P, R, and S. ### Final Answer The statements in which "and" is not used as a basic connective are P, R, and S. ---
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AAKASH INSTITUTE ENGLISH-MATHEMATICAL REASONING-Assignment (SECTION-A) (Objective type Questions (Only one answer))
  1. The compound statement with "And" is false If

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  2. In which of the following statements · 'And" is not used as basic con...

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  3. In which of the following statement "And" is not used as basic connect...

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  4. Which of the following compound statements is/are true? p : sqrt7 ...

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  5. Which of the following compound statements are false? p : 17 is odd ...

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  6. A compound statement with "OR" Is true when

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  7. A compound statement with "OR" is false when

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  8. Which of the following compound statements is/are true? p : All fra...

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  9. p: x = 5 or x = 1 is the root of equation (x - 5)^2 = 0, statement p i...

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  10. Which of the following statements is/are false? p : 137 is an intege...

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  11. Which of the following compound statement contains inclusive OR p : ...

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  12. Which of the following compound statement contains exclusive OR' p :...

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  13. p : For every integer x, x^2 is positive integer, (x ne 0) statement...

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  14. p-: There exists a natural number which is prime. Statement p can be i...

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  15. "If p then q" (where p and q are statements) says

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  16. "If p then q" is same as (where p and q are statement)

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  17. p : If end digit of an integer is 5 then end digit of its square is al...

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  18. If a number is multiple of 5 then its end digit wiil be 5 or 0. Cont...

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  19. Contrapositive of "if p· then q" is (where p and q are statement)

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  20. p : If an octagon in regular than all its side and angles are equal ...

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