Where can I practice free MCQ tests online?

You can practice free MCQ tests with answers and explanations on MCQBits.

Are MCQBits mock tests free?

Yes, all MCQ practice tests and quizzes on MCQBits are completely free.

TS POLYCET 2025 Question Paper with Solutions Free (Set-wise Answer Key)

41) The mean and mode of 5, 3, 9, 1, 9, 8, 9, 4 are m and n respectively, the value of m+n is?

A) 12

B) 15

C) 14

D) 10

View Answer

B) 15
Explanation:Mean = \( \frac{5+3+9+1+9+8+9+4}{8} \) = \( \frac{48}{8} \) = 6
Mode = 9 (occurs most)
⇒ m + n = 6 + 9 = 15

42) LCM of 9, 12 and 15 is?

A) 90

B) 180

C) 60

D) 45

View Answer

B) 180
Explanation:LCM of 9, 12, 15:
9 = 3², 12 = 2² × 3, 15 = 3 × 5
⇒ LCM = 2² × 3² × 5
= 180

43) Median of \( x, 20x, \frac{x}{20}, 200x, \frac{x}{200} \) (where \( x > 0 \)) is 20, then the value of \( x \) is:

A) 20

B) 40

C) 10

D) 30

View Answer

A) 20
Explanation:Arrange terms:
\( \frac{x}{200}, \frac{x}{20}, x, 20x, 200x \)
Median = x
⇒ x = 20

44) If \( 3^x = 9^{x-1} \), then the value of \( x \) is:

A) 2

B) 1

C) '0'

D) 3

View Answer

A) 2
Explanation:\( 3^x = (3²)^(x-1) = 3^(2x-2) \)
⇒ x = 2x – 2
⇒ x = 2

45) Mode of the data \( 19, 2, 6, 12, 12, 3, 5, 6, 18, 14, 6, 17, 2 \) is:

A) 6

B) 12

C) 2

D) 3

View Answer

A) 6
Explanation:6 appears most frequently
⇒ mode = 6

46) In \( \triangle ABC \), \( DE \parallel BC \), if \( AD = x + 1 \), \( DB = 3x – 1 \), \( AE = x \), and \( EC = 4x – 3 \), then the value of \( x \) is:

A) 1

B) 2

C) 3

D) 4

View Answer

A) 1
Explanation:Using Basic Proportionality Theorem:
\( \frac{AD}{DB} = \frac{AE}{EC} \)
⇒ \( \frac{x+1}{3x-1} = \frac{x}{4x-3} \)
⇒ solving gives x = 1

47) In \( \triangle ABC \), if \( AB = 6\sqrt{3} \) cm, \( AC = 12 \) cm and \( BC = 6 \) cm, then the angle \( B \) is:

A) \( 90^\circ \)

B) \( 60^\circ \)

C) \( 45^\circ \)

D) \( 30^\circ \)

View Answer

A) \( 90^\circ \)
Explanation:Using cosine rule:
AB² = AC² + BC²
⇒ (6√3)² = 12² + 6²
⇒ 108 = 144 + 36
⇒ angle B = 90°

48) A regular brick is in the shape of:

A) Cube

B) Cuboid

C) Cone

D) Cylinder

View Answer

B) Cuboid
Explanation:A brick is a cuboid

49) A cylinder and a cone have bases of equal radii and heights, then the ratio of volumes is:

A) 3:1

B) 2:1

C) 1:1

D) 4:1

View Answer

A) 3:1
Explanation:Volume of cylinder : cone
= πr²h : \( \frac{1}{3} \)πr²h
= 3 : 1

50) The ratio of the areas of two similar triangles is equal to the ratio of the ______ their corresponding sides.

A) Cube of

B) Square of

C) Square root of

D) Twice of

View Answer

B) Square of
Explanation:Ratio of areas = square of ratio of sides

Your Score: 0 / 0

Start Test

Spread the love

Pages: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Leave a Comment Cancel Reply