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Question : A frustum of a right circular cone, whose height is 18 cm, large base radius is 25 cm, and small base radius is 20 cm, is melted to form a small sphere of diameter 2 cm. How many spheres will be formed?

Option 1: 6287

Option 2: 6862

Option 3: 4575

Option 4: 5857

Team Careers360 22nd Jan, 2024

Correct Answer: 6862


Solution : Here, the height of the frustum ($h$) = 18 cm
Large base radius ($R$) = 25 cm
Small base radius ($r$) = 20 cm
So, the volume of the frustum
= $\frac{\pi h}{3}(R^2+Rr+r^2)$
= $\frac{\pi×18}{3}(25^2+25×20+20^2)$
= $9150\pi\ \text{cm}^3$
Now, radius of the sphere = $\frac{2}{2}$

8 Views

Question : Comprehension:
Wildlife and nature have largely been associated with humans for numerous emotional and social reasons. A simple stroll around the park amidst some birds provides a fresh breath of life and charges our batteries. Apart from a bird feeder in the backyard, we can also take up other active pastimes, such as hiking, hunting, canoeing, or wildlife photography, to relieve our parched nerves. Since prehistoric times, animals have been highly useful to us in providing food, clothing, and a source of income.
Studies indicate that woodpeckers are capable of destroying 90% of codling moth larvae residing under the bark of trees. This shows the significance of wildlife and wildlife habitat for preserving genetic diversity. Hence, places, where agriculture, forests, and fisheries depend on crops or stocks, can ensure that such living resources are enough to withstand the ever-increasing list of threats. Further, in medicine, the development of new drugs and treatments is largely dependent on wildlife and wildlife habitat. Interestingly, most pharmaceutical products are a result of discovering or developing wildlife species, not discoveries made through traditional chemistry principles. Today, most medicinal remedies contain at least one ingredient derived from a wild plant or animal.
Biodiversity is the variety of living beings within an ecosystem or on our planet. It is a measurement of the health of ecosystems. Biodiversity also plays a part in the function of climate. In terrestrial habitats, tropical areas are rich in species, whereas polar areas support fewer species. The conservation of biodiversity is inevitable for the survival of humans. Based on the passage above, choose the correct option for the following questions:

Question:
According to the passage, which of the following statements is true?

Option 1: Most medicinal remedies contain at least one ingredient derived from a wild plant or animal.

Option 2: Wildlife habitat plays no role in preserving genetic diversity

Option 3: Since prehistoric times, animals have been not been useful to us

Option 4: Biodiversity is a measurement on the cultural ecosystems

Team Careers360 14th Jan, 2024

Correct Answer: Most medicinal remedies contain at least one ingredient derived from a wild plant or animal.


Solution : The correct choice is the first option.

The passage mentions that the development of new drugs and treatments in medicine is largely dependent on wildlife and wildlife habitat. It specifically

28 Views

Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the options given. Select the most appropriate option for each number.
Castles are home to a rich history. From blood feuds to tragic pasts, (1)______ love affairs to alleged ghosts, no castle is ever (2)______ a secret to unveil. Known locally as Chateaux Picomtal, Picomtal Castle (3)______ came under new ownership. During the renovation of the (4)______, a surprising discovery was made. Messages (5)______long ago were found on the floorboards of (6)______ upper chambers. The messages were written (7)______1880 and 1881 by Joachim Martin; the carpenter (8)______ installed the flooring. His messages were a diary of 72 entries of his daily (9)______, personal thoughts along with his emotions and feelings. Joachim’s (10)______is indeed a very personal account of the history of those times. The discovery gives us an honest look at an average person’s daily life over 135 years ago.
Question:
Select the most appropriate option to fill in the blank no. 7.

Option 1: between

Option 2: among

Option 3: across

Option 4: from

Team Careers360 22nd Jan, 2024

Correct Answer: between


Solution : The correct choice will be the first option.

The sentence structure suggests that the missing word should be a preposition that indicates the time frame within which the messages were written. Between is the most suitable option in this context, indicating the time between the

76 Views

Question : Parts of the following sentence have been given as options. Select the option that contains an error.

The poor undergoes / several problems in life / that could be / solved with money.

Option 1: that could be

Option 2: several problems in life

Option 3: the poor undergoes

Option 4: solved with money

Team Careers360 19th Jan, 2024

Correct Answer: the poor undergoes


Solution : The correct option will be the third option.

The subject, "The poor" is plural, as it represents the class of poor people, so the plural form of the verb i.e., "undergo" should also be used.

Therefore, the correct sentence is: The poor undergo

44 Views

Question : Before the battle, the ratio of tanks to planes in an army was 5 : 3. During the war, 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes became 2 : 1, what was the number of tanks after the war?

Option 1: 2000

Option 2: 1000

Option 3: 3000

Option 4: 4000

Team Careers360 22nd Jan, 2024

Correct Answer: 2000


Solution : Given:
Before the battle, the ratio of tanks to planes in an army was 5 : 3.
Let the number of tanks before battle = $5x$ and the number of planes before battle = $3x$.
During the war, 1000 tanks and 800 planes were destroyed.

10 Views

Question : Directions: Three of the following four are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group?

Option 1: 4 – 27

Option 2: 6 – 125

Option 3: 5 – 63

Option 4: 7 – 216

Team Careers360 14th Jan, 2024

Correct Answer: 5 – 63


Solution : Let's check the options –

First option: 4 – 27; 4 – 1 = 3 and 33 = 27
Second option: 6 – 125; 6 – 1 = 5 and 53 = 125
Third option: 5 – 63; 5 – 1

20 Views

Question : The pair of compounds used as anaesthetic in medicines :

Option 1: Ether, Ammonia

Option 2: Nitrous oxide, Chloroform

Option 3: Chloroform, Nitrogen dioxide

Option 4: Nitrogen dioxide, Ether

Team Careers360 17th Jan, 2024

Correct Answer: Nitrous oxide, Chloroform


Solution : The correct option is Nitrous oxide, Chloroform.

One of the first anesthetics was nitrous oxide. It is a gas that has no color or smell. It is not appropriate for severe surgical anesthesia, while it can cause a mild sedative and analgesic condition.

10 Views

Question : If $r\sin\theta=\frac{7}{2}$ and $r\cos\theta=\frac{7\sqrt3}{2}$, then the value of $\theta$ is:

Option 1: 30°

Option 2: 45°

Option 3: 60°

Option 4: 75°

Team Careers360 16th Jan, 2024

Correct Answer: 30°


Solution : Given: $r\sin\theta=\frac{7}{2}$ and $r\cos\theta=\frac{7\sqrt3}{2}$
So, $\frac{r\sin\theta}{r\cos\theta}=\frac{\frac{7}{2}}{\frac{7\sqrt3}{2}}$
$⇒\tan\theta=\frac{1}{\sqrt{3}}=\tan 30°$
$\therefore\theta = 30°$
Hence, the correct answer is 30°.

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