1
###
Only students can participate in the race

**Consider the following three statements:**

- Only students can participate in the race.
- Some participants in the race are girls.
- All girl participants in the race are invited for coaching.

**Which one of the following conclusions can be drawn from the above statements?**

- All students are invited for coaching.
- All participants in the race are students.
- All participants in the race are invited for coaching.
- None of these

2
###
None but the rich ran afford air-travel

**Examine the following statements:**

- None but the rich ran afford air-travel.
- Some of those who travel by air become sick.
- Some of those who become sick require treatment.

**Which one of the following conclusions can be drawn from the above statements?**

- All the rich persons become sick.
- All those who travel by air are rich.
- Those who travel by air become sick.
- All the rich persons travel by air.

3
###
All artists are whimsical

**Consider the following statements:**

- All artists are whimsical.
- Some artists are drug addicts.
- Frustrated people are prone to become drug addicts.

**From the above three statements it may be concluded that:**

- Whimsical people are generally frustrated.
- All frustrated people are drug addicts.
- Artists are frustrated.
- Some drug addicts are whimsical.

4
###
None but students are the members of the club

**Examine the following statements:**

- None but students are the members of the club.
- Some members of the club are married.
- All married persons are invited for dance.

**Which one of the conclusions can be drawn from the above statements?**

- All members of the club are married person
- All married students are invited for dance
- All students are invited for dance
- None of these

5
###
All animals are carnivorous

**Directions:** There are four statements. Of these four statements, two cannot both be true, but both can be false. Study the statements carefully and identify the two that satisfy above condition.

**Examine the following statements:**

- All animals are carnivorous.
- Some animals are not carnivorous.
- Animals are not carnivorous.
- Some animals are carnivorous.

**Select the correct answer using the codes given below:**

- 1 and 2
- 3 and 4
- 2 and 3
- 1 and 3

In Figure, PQ and RS are two parallel tangents to a circle with centre O
Find the ratio in which the line x – 3y = 0 divides the line segment
Evaluate: Trigonometry Relation #03
In Figure, a square OABC is inscribed in a quadrant OPBQ
In Figure, ABCD is a square with side 2√2 cm and inscribed in a circle
A solid is in the form of a cylinder with hemispherical ends
For what value of k, is the polynomial f(x) = 3x^4 – 9x^3 + x^2 + 15x + k
Find the zeroes of the quadratic polynomial 7y^2 – 11y/3 – 2/3