#### Question: Point (–3, 5) lies in the

- a) first quadrant
- b) second quadrant
- c) third quadrant
- d) fourth quadrant

**Answer: second quadrant**

#### Question: If Δ ABC ≅ Δ PQR and Δ ABC is not congruent to Δ RPQ, then which of the following is not true:

- a) BC = PQ
- b) AC = PR
- c) QR = BC
- d) AB = PQ

**Answer: BC = PQ **

#### Question: ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º, then ∠BAC is equal to:

- a) 80º
- b) 50º
- c) 40º
- d) 30º

**Answer: 40º**

#### Question: The linear equation 3x – y = x – 1 has :

- a) A unique solution
- b) Two solutions
- c) Infinitely many solutions
- d) No solution

**Answer: Infinitely many solutions **

#### Question: The width of each of five continuous classes in a frequency distribution is 5 and the lower class-limit of the lowest class is 10. The upper class-limit of the highest class is:

- a) 15
- b) 25
- c) 35
- d) 40

**Answer: 35**

#### Question: The total surface area of a cube is 96 cm^{2}. The volume of the cube is:

- a) 8 cm
^{3 } - b) 512 cm
^{3} - c) 64 cm
^{3 } - d) 27 cm
^{3}

**Answer: ****64 cm ^{3 }**

#### Question: In a sample study of 642 people, it was found that 514 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is :

- a) 0.5
- b) 0.6
- c) 0.7
- d) 0.8

**Answer: 0.8**

#### Question: In a cylinder, if radius is halved and height is doubled, the volume will be

- a) Same
- b) doubled
- c) halved
- d) four times

**Answer: doubled**

#### Question: The width of each of five continuous classes in a frequency distribution is 5 and the lower class-limit of the lowest class is 10. The upper class-limit of the highest class is:

- a) 15
- b) 25
- c) 35
- d) 40

**Answer: 35**

#### Question: Which of the following cannot be empirical probability of an event?

- a) 4/5
- b) 1
- c) 0
- d) 5/4

**Answer: 5/4**

**More Questions..................**

#### Question: If the volume of a sphere is numerically equal to its surface area, then radius of the sphere is

- a) 1 unit
- b) 3 units
- c) 2 units
- d) 6 units

**Answer: 3 units**

#### Question: In a frequency distribution, the mid-value of a class is 20 and the width of the class is 8. then the lower limit of the class is

- a) 12
- b) 24
- c) 28
- d) 16

**Answer: 16**

#### Question: Equation of x-axis is

- a) x = 0
- b) x = y
- c) y = 0
- d) x + y = 0

**Answer: y = 0 **

#### Question: The median of a triangle divides it into two

- a) triangles of equal area
- b) equilateral triangles
- c) right triangles
- d) isosceles triangles

**Answer: triangles of equal area**

#### Question: Sum of exterior angles of a triangle is :

- a) 270°
- b) 306°
- c) 630°
- d) 360°

**Answer: 360°**

#### Question: Which one is correct order of Cartesian plane for the points (4, –4), (–3, 2), (–5, – 7) and (6, 3)?

- a) I, II, III, IV
- b) IV, II, III, I
- c) III, II, I, IV
- d) II, III, IV, I

**Answer: IV, II, III, I**

#### Question: What is the remainder when polynomial x^{3} – ax^{2} + 6x – a is divided by (x – a)?

- a) a
- b) 3a
- c) a/5
- d) 5a

**Answer: 5a**

#### Question: What are the zeroes of the polynomial x^{2} – 16?

- a) (4, –4)
- b) (–4, –4)
- c) (4, 4)
- d) None of these

**Answer: (4, –4)**

#### Question: A bag contains 7 red balls, 6 green balls, 4 black balls. A ball is drawn randomly from this bag. What is the probability of the drawn ball is to be white ball?

- a) 7/17
- b) 6/17
- c) 4/17
- d) 0

**Answer: 0**

#### Question: Find the area of equilateral triangle of side 4 cm.

- a) 4√3 cm
- b) 4√3 cm
- c) 3√4 cm
- d) 6cm

**Answer: 4√3 cm**

#### Question: [(64)^{1/2 }x (1/27)^{1/3}]^{2}

- a) 2
- b) 9
- c) 9/2
- d) 2/9

**Answer: 2/9**

#### Question: In the given figure if <BAC = 72° and AB = AC, <ACD = ?

- a) 54°
- b) 126°
- c) 136°
- d) 108°

**Answer: ****126°**

#### Question: If DC AA || AB, the values of ‘x’ and ‘y’ are :

- a) (45°, 25°)
- b) (25°, 65°)
- c) (30°, 45°)
- d) (45°, 30°)

**Answer: (25°, 65°)**

#### Question: In the given figure if <BAC = 72° and AB = AC, <ACD = ?

- a) 54°
- b) 126°
- c) 136°
- d) 108°

**Answer: ****126°**

#### Question: In circle (O, r) AB is the chord and <ACB = 76^{o}, find <ADB.

- a) 67°
- b) 78°
- c) 87°
- d) 76°

**Answer: ****76°**

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