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17 Views

Question : The length of a rope, by which a calf is tied, is decreased from 9 m to 5 m. Find the decrease in the area that can be grazed by the calf. [Use $\pi=\frac{22}{7}$]

Option 1: 112 m2

Option 2: 154 m2

Option 3: 122 m2

Option 4: 176 m2

Team Careers360 27th Jan, 2024

Correct Answer: 176 m2


Solution : Given:
Original length of rope = 9 m
The new length of rope = 5 m
(Length of rope taken as the radius of the circle)
So,
Old area = $\pi (9^{2}) = 81\pi $
New area =  $\pi (5^{2}) = 25\pi $

40 Views

Question : DE is tangent to the circumcircle of $\triangle$ABC at the vertex A such that $DE \parallel BC$. If AB = 17 cm, then the length of AC is equal to:

Option 1: 16 cm

Option 2: 16.8 cm

Option 3: 17.3 cm

Option 4: 17 cm

Team Careers360 27th Jan, 2024

Correct Answer: 17 cm


Solution :
Given: DE || BC and AB = 17 cm.
From the alternate segment theorem, we get $\angle$DAB = $\angle$ACB
Also, $\angle$DAB = $\angle$ABC (Alternate angle)
So, $\angle$ACB = $\angle$ABC
⇒ AB = AC = 17 cm
Hence, the correct answer is 17 cm.

48 Views

Question : Directions: Six regular hexagons of side 5 cm are joined together to form the figure given below. What is the perimeter of the figure?

Option 1: 210

Option 2: 180

Option 3: 120

Option 4: 240

Team Careers360 26th Jan, 2024

Correct Answer: 120


Solution : Given:
The side of a regular hexagon is 5cm.

The perimeter of a given figure(P) = (Total length of the external boundary) + (Total length of the internal boundary)
P = (AB + BC + CD + DE + EF + FG + GH +

12 Views

Question : The part of the eye having the larger refractive index is:

Option 1: cornea

Option 2: aqueous humor

Option 3: lens

Option 4: vitreous humor

Team Careers360 27th Jan, 2024

Correct Answer: lens


Solution : The correct option is the lens.

Refractive Index is defined as the ratio of the speed of light in a vacuum (or air) to the speed of light in the medium. The refractive indices of the cornea, aqueous humor, lens and vitreous humor are 1.376,

16 Views

Question : Directions: A paper is folded and cut as shown. How will it appear when unfolded?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 26th Jan, 2024

Correct Answer:


Solution : When the given folded paper is unfolded, it will look like this–

Hence, the fourth option is correct.

8 Views

Question : What is the jelly-like substance between the nucleus and the cell membrane called?

Option 1: Plasma

Option 2: Cell wall

Option 3: Plasma membrane

Option 4: Cytoplasm

Team Careers360 26th Jan, 2024

Correct Answer: Cytoplasm


Solution : The correct answer is Cytoplasm.

Each cell is filled with cytoplasm, which is a thick solution. The cell membrane encloses it. It consists of water, salts, and proteins. The cytoplasm in eukaryotic cells includes all of the material inside the cell and outside of

13 Views

Question : In a bucket, there are 40 red balls and 120 blue balls. The ratio of red to blue is:

Option 1: 1 : 3

Option 2: 3 : 4

Option 3: 1 : 4

Option 4: 2 : 3

Team Careers360 26th Jan, 2024

Correct Answer: 1 : 3


Solution : Given,
Number of red balls in the bucket = 40
Number of blue balls in the bucket = 120
⇒ Ratio = 40 : 120 = 1 : 3
Hence, the correct answer is 1 : 3.

30 Views

Question : Who among the following founded Brahmo Samaj in Calcutta (Kolkata)?

Option 1: Swami Vivekananda

Option 2: Swami Dayanand Saraswati

Option 3: Ishwar Chandra Vidyasagar

Option 4: Raja Ram Mohan Roy

Team Careers360 27th Jan, 2024

Correct Answer: Raja Ram Mohan Roy


Solution : The correct answer is Raja Ram Mohan Roy.

The social manifestation of Brahmoism is known as Brahmo Samaj. It began as a Hindu reformist movement that was monotheistic and was valued during the Bengal Renaissance. On August 20, 1828, Raja Ram

23 Views

Question : Select the most appropriate one-word substitution for the given words.

A group of lions

Option 1: Herd

Option 2: Pack

Option 3: Pride

Option 4: Colony

Team Careers360 27th Jan, 2024

Correct Answer: Pride


Solution : The correct choice is the third option.

In this context, pride refers to a social group of lions. This term is specific to lions and reflects their social structure.

The meanings of the other options are as follows:

  • Herd: This term is typically used
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