HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Write the following statement in symbolic form.

If triangle is equilateral then it is equiangular.

Write the following statement in symbolic form.

It is not true that “i” is a real number.

Write the following statement in symbolic form.

Even though it is not cloudy, it is still raining.

Write the following statement in symbolic form.

Milk is white if and only if the sky is not blue.

Write the following statement in symbolic form.

Stock prices are high if and only if stocks are rising.

Write the following statement in symbolic form.

If Kutub-Minar is in Delhi then Taj-Mahal is in Agra.

Find the truth value of the following statement.

It is not true that 3 − 7i is a real number.

Find the truth value of the following statement.

If a joint venture is a temporary partnership, then discount on purchase is credited to the supplier.

Find the truth value of the following statement.

Every accountant is free to apply his own accounting rules if and only if machinery is an asset.

Find the truth value of the following statement.

Neither 27 is a prime number nor divisible by 4.

Find the truth value of the following statement.

3 is a prime number and an odd number.

If p and q are true and r and s are false, find the truth value of the following compound statement.

p ∧ (q ∧ r)

If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ∨ (r ∧ s) 

If p and q are true and r and s are false, find the truth value of the following compound statement.

~ [(~ p ∨ s) ∧ (~ q ∧ r)]

If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ↔ ~(p ∨ q)

If p and q are true and r and s are false, find the truth value of the following compound statement.

[(p ∨ s) → r] ∨ ~ [~ (p → q) ∨ s]

If p and q are true and r and s are false, find the truth value of the following compound statement.

~ [p ∨ (r ∧ s)] ∧ ~ [(r ∧ ~ s) ∧ q]

Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is not holiday or Ram studies on holiday.

Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

If Sunday is not holiday then Ram studies on holiday.

Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is a holiday and Ram studies on holiday.