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प्रश्न
Which of the following statement is true
पर्याय
3 + 7 = 4 or 3 – 7 = 4
If Pune is in Maharashtra, then Hyderabad is in Kerala
It is false that 12 is not divisible by 3
The square of any odd integer is even
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उत्तर
It is false that 12 is not divisible by 3
संबंधित प्रश्न
Write truth values of the following statements: ∃ n ∈ N such that n + 5 > 10.
Write the following statement in symbolic form and find its truth value:
∀ n ∈ N, n2 + n is an even number and n2 - n is an odd number.
If p, q, r are the statements with truth values T, F, T, respectively then find the truth value of (r ∧ q) ↔ ∼ p
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Do you like Mathematics?
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The sunsets in the west
State which of the following is the statement. Justify. In case of a statement, state its truth value.
Can you speak in Marathi?
Write the truth values of the following.
64 is a perfect square and 46 is a prime number.
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5 is a prime number and 7 divides 94.
Write the truth values of the following.
It is not true that 5−3i is a real number.
Write the truth value of the following.
If 3 × 5 = 8 then 3 + 5 = 15.
Write the truth value of the following.
Milk is white if and only if sky is blue.
Write the truth values of the following.
24 is a composite number or 17 is a prime number.
If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:
[(∼ p ∧ q) ∧ ∼ r] ∨ [(q → p) → (∼ s ∨ r)]
If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.
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If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.
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cos2θ − sin2θ = cos2θ for all θ∈R.
`sqrt5` is an irrational but `3sqrt5` is a complex number.
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Please grant me a loan.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
He is an actor.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
Every real number is a complex number.
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1 ! = 0
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
3 + 5 > 11
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
x2 - y2 = (x + y)(x - y) for all x, y ∈ R.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
Two co-planar lines are either parallel or intersecting.
State which of the following sentence is a statement. Justify your answer if it is a statement. Write down its truth value.
Bring the motor car here.
Choose the correct alternative :
Which of the following is an open statement?
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Which of the following is always true?
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∼ (p ∨ q) ∨ (∼ p ∧ q) is logically equivalent to
State whether the following statement is True or False :
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Solve the following :
State which of the following sentences are statements in logic.
(2 + 1)2 = 9.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
The square of every real number is positive.
Which of the following sentence is a statement? In case of a statement, write down the truth value.
Every parallelogram is a rhombus.
Determine the truth value of the following statement.
4 + 5 = 7 or 9 − 2 = 5
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
If stock prices are high then stocks are not rising.
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
p ↔ (q → ∼ p)
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
(p ∧ ∼ q) ∨ (∼ p ∧ q)
If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.
∼ [(p → q) ↔ (p ∧ ∼ q)]
State the truth value of (p ˄ ∼p)
State whether the following statement is True or False:
Truth value of `sqrt(3)` is not an irrational number is F
The truth value of the statement “Neither 27 is a prime number nor divisible by 4” is ______
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If (p ∧ ~ q) → ~ p is false, the truth values of p and q are respectively.
If p : Every square is a rectangle. q : Every rhombus is a kite, then truth values of p `rightarrow` q and p `leftrightarrow` q are ______ and ______ respectively.
lf p, q are true statements and r, s are false statements, then find the truth value of ∼ (p ∧ ∼r) ∨ (∼q ∨ s).
