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Question : In $\triangle$ABC, $\angle$A = 90°, AD$\perp$BC and AD = BD = 2 cm. The length of CD is:

Option 1: 3 cm

Option 2: 3.5 cm

Option 3: 3.2 cm

Option 4: 2 cm

Team Careers360 25th Jan, 2024

Correct Answer: 2 cm


Solution :
Given:
AD = BD = 2 cm
$\angle$A = 90°
AD is perpendicular to BC.
In $\triangle$ABC right angled at A, a perpendicular AD is drawn at BC then AD2 = BD × CD
∴ 2= 2 × CD
⇒ CD

70 Views

Question : If 80% of total articles are sold at a profit of 25% and the remaining articles are sold at a loss of 20%, then what will be the overall profit percentage?

Option 1: 15%

Option 2: 12.5%

Option 3: 16%

Option 4: 20%

Team Careers360 24th Jan, 2024

Correct Answer: 16%


Solution : Let the cost price of 1 article be Re. 1 and the number of articles be 100.
So, the selling price (SP) of 80% article = Cost price of 80 articles + Profit
= 80 + 25% of 80 = Rs. 100
Now, the selling

9 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.

No longer in use

Option 1: Obscure

Option 2: Oriental

Option 3: Original

Option 4: Obsolete

Team Careers360 25th Jan, 2024

Correct Answer: Obsolete


Solution : The correct choice is the fourth option.

Obsolete means something that is no longer in use, or no longer considered relevant or functional due to newer developments or advancements, making it the correct one-word substitute for no longer in use.

The meanings of the

7 Views

Question : Comprehension:
Read the following passage and answer the questions that follow.
Before the advent of soap, the primary cleansing agent in ancient India was taken from soap nuts (reetha) from the plant Sapindus saponaria. The literal translation of Sapindus is sap = soap and indus = India. In other words, soap from India!

The nut was used in ancient China as well and its usage spread from India to Middle Asia and then Europe. Soap nuts are boiled to soften them up and then crushed to filter out the essence which contains the all-important cleansing chemicals. It lathers but in small quantities. Ancient India also used shikai or shikakai (a variant of the acacia plant) as a hair and body cleanser.

The skincare routines of ancient Indians involved the addition of a variety of herbs such as turmeric, tulsi (holy basil), neem (bark and leaves), lotus petals and sandalwood paste amongst others which were common ingredients in their skincare creams.

Another worth mentioning soap in skin care is the Aleppo soap, which originated from the Syrian city of Aleppo. This is considered one of the purest soaps as it is made with all natural ingredients. Aleppo soap does not dry out the skin. It also moisturises and nourishes the skin and is purported to benefit a host of skin problems such as eczema, skin breakouts, inflammatory skin conditions, insect bites, and skin infections. However, the exact origin of the soap is lost in time with the earliest written record dating as far back as the 8th Century AD. After the Crusades, European nations adopted Aleppo soap and started producing their own variations. However, the ancient city of Aleppo thrived on trade for thousands of years, famous for being the endpoint of the illustrious Silk Road trade route that bridged the East and the West.

Generations of merchant families and manufacturers made the unique soap for thousands of years and the formulation has remained surprisingly unchanged in all this time retaining its original form. Olive oil, sweet bay (laurel) oil, sodium hydroxide and water are the main ingredients of this soap. Bay (Laurus nobilis) has remarkable antibacterial and antifungal properties and could explain some of the benefits of this soap in conditions such as acne, insect bites and skin infections.

Question:
Which of the following things did people in ancient India use for body and hair wash?

Option 1: Shikakai

Option 2: Neem bark

Option 3: Soap nuts (reetha)

Option 4: Sandalwood paste

Team Careers360 25th Jan, 2024

Correct Answer: Shikakai


Solution : The correct choice is the first option.

The passage explicitly mentions that ancient India used shikai, or shikakai, as a hair and body cleanser. While soap nuts (reetha) are also mentioned as a primary cleansing agent, shikakai is specifically highlighted as a variant of the

25 Views

Question : Directions: Select the correct option that indicates the arrangement of the following words in a logical and meaningful order.
1. Satellite
2. Galaxy
3. Universe
4. Planet
5. Sun

Option 1: 1, 3, 5, 4, 2

Option 2: 3, 2, 5, 4, 1

Option 3: 1, 2, 3, 4, 5

Option 4: 3, 4, 5, 1, 2

Team Careers360 24th Jan, 2024

Correct Answer: 3, 2, 5, 4, 1


Solution : Given:
1. Satellite 2. Galaxy 3. Universe 4. Planet 5. Sun

The universe is comprised of galaxies, each of which contains multiple suns, and each sun has planets revolving around it, which in turn have satellites revolving around them.
So, the

37 Views

Question : The average height of three kids is 56 cm and their heights are in the proportions of 7 : 8 : 9. Find the heights of all three.

Option 1: 42 cm, 48 cm, and 54 cm

Option 2: 56 cm, 64 cm, and 72 cm

Option 3: 35 cm, 40 cm, and 45 cm

Option 4: 49 cm, 56 cm, and 63 cm

Team Careers360 24th Jan, 2024

Correct Answer: 49 cm, 56 cm, and 63 cm


Solution : The average height of three kids = 56 cm
The sum of the heights = 56 × 3 = 168 cm
The given ratio of heights = 7 : 8 : 9
Let the heights be $7x, 8x$, and

16 Views

Question : Which ruler founded the famous Vikramshila University for Buddhists?

Option 1: Mahipala

Option 2: Devapala

Option 3: Gopala

Option 4: Dharmapala

Team Careers360 24th Jan, 2024

Correct Answer: Dharmapala


Solution : The correct option is Dharmapala.

In the late 8th or early 9th century, the Pala ruler Dharmapala founded Vikramashila. It had prospered for almost four centuries. With more than a hundred teachers and over a thousand students, Vikramashila was one of the biggest Buddhist universities.

18 Views

Question : Mahabalipuram monuments were built in__________ dynasty architecture.

Option 1: Chandela

Option 2: Pallava

Option 3: Pali

Option 4: Gupta

Team Careers360 24th Jan, 2024

Correct Answer: Pallava


Solution : The correct answer is Pallava.

The Hindu Group of Monuments in Mahabalipuram, sometimes called Mamallapuram, are especially prominent landmarks because they are both artistic and technological marvels and a remarkable testament to the Pallava monarchs' architectural legacy. In the context of classical Indian architecture,

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