Test: Mathematical Reasoning- 1

I am an advocate

Delhi is on the Jupiter

A half open door is half closed

none of these

The sky is blue and milk is white

The sky is blue or milk is white

if the sky is blue then, milk is white

The sky is white and milk is blue

I play cricket during the holidays and just sleep throughout the day

If I play cricket during the holidays, I just sleep throughout the day

I play cricket during the holidays or just sleep throughout the day

I just sleep throughout the day if and only if I play cricket during the holidays

If it is hot, then he wants water.

it is hot and he wants water.

it is hot or he wants water.

If and only if it is hot, he wants water.

If I do not take medicine, then I cannot sleep.

I take medicine iff I can sleep.

I take medicine if I can sleep.

If I do not take medicine, then I can sleep.

p → q is true when p is true and q isfalse

∼ (p ∨ q) is true only when both p and q are false.

p ↔ q is true only when both p and q are true

p ∧ q is true when atleast one of p and q is true.

Sun is a star

I am a very strong boy

7 is both odd and prime number

There is something wrong in the room

∼(p∨q)≅(∼p∨∼q)

(p→q)≅(∼q→∼p)

∼(p→q)≅(p∨∼q)

∼(p∧q)≅(∼p∧∼q)

∼p∧(∼q∧∼r)

p∧(q∨r)

p∨(q∧r)

p→∼(q∨r)

p is true and q, r are false

p, q, r are all true

p, q are true and r is false

p, q, r are all false

if a quadrilateral is not a square , then it is a rhombus

a quadrilateral is not a square and it is a rhombus

if a quadrilateral is a square , then it is not a rhombus

a quadrilateral is a square and it is not a rhombus

If I get a first class , then 2² = 5,

If I do not get a first class , then 2² = 5

If I do not get a first class , then 2² ≠ 5,

none of these

x – 2y = 9 if x = 5 and y = - 2

If x – 2y = 9, then x ≠ 5 or y ≠ - 2

If x – 2y ≠ 9 then x ≠ 5 and y ≠ 2

none of these

p→q

p↔q

∼p→∼q

∼q→∼p

(∼q∧p)∧(p∧∼p)

(∼q∧p)∨(p∨∼p)

(p∧q)∧(∼(p∧q))

(∼q∧p)∧q

p→(p↔q)

p→(p∧q)

p→(p∨q)

p→(p→q)

∼r→∼p∨q

(∼p∨q)→∼r

r→p∧∼q

none of these

∼p↔∼q

∼p∧∼q

∼p∨∼q

∼p→∼q

Logic is an interesting subject

I am a lion

A half open door is half closed

A triangle is a circle and 10 is a prime number

x ≠ 4, 2x+3 ≠ 9

x = 4, 2x+3 ≠ 9

x = 4, 2x+3 = 9

x ≠ 4, 2x+3 = 9

If we do not control population growth but we prosper

We control population but we do not prosper

If we control population, we do not prosper

We do not control population but we prosper

If the volume does not decrease, the pressure does not increase

If the pressure does not increase the volume does not decrease

If the volume increases, the pressure decreases

If the volume decreases, then the pressure increases

∨

⇔

∧

all of these

Contrapositive, Converse

Conditional, Inverse

Inverse, Contrapositive

Conditional, Contrapositive