

MCQOPTIONS
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This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
Is meaning of p only if q and q only if p is same? |
A. | True |
B. | False |
Answer» C. | |
2. |
Is meaning of p if and only if q and q if and only if p is same? |
A. | True |
B. | False |
Answer» B. False | |
3. |
Which of the following is converse of “If x is divisible by 4 then x must be divisible by 2”? |
A. | If x is divisible by 2 then x must be divisible by 4 |
B. | If x is not divisible by 2 then x must be divisible by 4 |
C. | If x is not divisible by 2 then x is not divisible by 4 |
D. | If x is divisible by 4 then x is not divisible by 2 |
Answer» B. If x is not divisible by 2 then x must be divisible by 4 | |
4. |
What is converse for statement if p then q? |
A. | if not q then not p |
B. | if q then p |
C. | if not p then q |
D. | if not p then not q |
Answer» C. if not p then q | |
5. |
Which of the following is contrapositive of “If x is divisible by 4 then x must be divisible by 2”? |
A. | If x is divisible by 2 then x must be divisible by 4 |
B. | If x is not divisible by 2 then x must be divisible by 4 |
C. | If x is not divisible by 2 then x is not divisible by 4 |
D. | If x is divisible by 4 then x is not divisible by 2 |
Answer» D. If x is divisible by 4 then x is not divisible by 2 | |
6. |
What is contrapositive for statement if p then q? |
A. | if not q then not p |
B. | if q then p |
C. | if not p then q |
D. | if not p then not q |
Answer» B. if q then p | |
7. |
If p then q means _________ implies __________ |
A. | q => p |
B. | ~q => ~p |
C. | ~p => ~q |
D. | p => ~q |
Answer» C. ~p => ~q | |
8. |
If p then q means ______ is necessary condition for ____________ |
A. | p, p |
B. | q, q |
C. | p, q |
D. | q, p |
Answer» E. | |
9. |
If p then q means ___________ only if ___________ |
A. | p, q |
B. | q, p |
C. | p, p |
D. | q, q |
Answer» B. q, p | |
10. |
If p then q means ______ is sufficient condition for ____________ |
A. | p, p |
B. | q, q |
C. | p, q |
D. | q, p |
Answer» D. q, p | |
11. |
If p then q means ___________________ |
A. | If q then p |
B. | p => q |
C. | q => p |
D. | q only if p |
Answer» C. q => p | |
12. |
If p then q means if p is ________ then q must be ______________ |
A. | true, true |
B. | true, false |
C. | false, false |
D. | false, true |
Answer» B. true, false | |