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Question : The height and the radius of the base of a right circular cone are in the ratio of 12 : 5. If its volume is 314 cm3, then what is the slant height of the cone? (Use $\pi$ = 3.14)

Option 1: 12 cm

Option 2: 11 cm

Option 3: 13 cm

Option 4: 14 cm

Team Careers360 27th Jan, 2024

Correct Answer: 13 cm


Solution : Given: The height and the radius of the base of a right circular cone = 12 : 5
Let the height be $12x$ and the radius is $5x$.
Volume = 314 cm3
We know that,
Volume of a cone = $\frac{1}{3}\pi r^2 h$

39 Views

Question : Select the most appropriate ANTONYM of the underlined word.

He was uncomfortable at the sports event.

Option 1: Easeful

Option 2: Difficult

Option 3: Awkward

Option 4: Troublesome

Team Careers360 26th Jan, 2024

Correct Answer: Easeful


Solution : The correct choice is the first option.

The adjective uncomfortable means causing or feeling slight pain or physical discomfort, whereas easeful is characterised by comfort and a lack of difficulty, making things easy and relaxed. Thus, it is the opposite of "uncomfortable".

The meanings of

9 Views

Question : Evaluate: $\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}$

Option 1: $\frac{4}{39}$

Option 2: $\frac{5}{39}$

Option 3: $\frac{10}{39}$

Option 4: $\frac{7}{39}$

Team Careers360 27th Jan, 2024

Correct Answer: $\frac{5}{39}$


Solution :

$\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}$
$=\frac{1}{(3×5)}+\frac{1}{(5×7)}+\frac{1}{(7×9)}+\frac{1}{(9×11)}+\frac{1}{(11×13)}$
$= \frac{1}{2}×[( \frac{1}{3}− \frac{1}{5})+( \frac{1}{5}− \frac{1}{7})+( \frac{1}{7}− \frac{1}{9})+( \frac{1}{9}− \frac{1}{11})+( \frac{1}{11}− \frac{1}{13})]$
$= \frac{1}{2}×( \frac{1}{3}− \frac{1}{13})$
$= \frac{1}{2}×( \frac{13-3}{39})$
$= \frac{5}{39}$
Hence, the correct answer is $ \frac{5}{39}$.

96 Views

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error

I think your watch / goes ten minutes behind; / mine shows / the correct time.

Option 1: mine shows

Option 2: I think your watch

Option 3: goes ten minutes behind

Option 4: the correct time

Team Careers360 27th Jan, 2024

Correct Answer: goes ten minutes behind


Solution : The segment with a grammatical error is in the third option.

Explanation:
The error lies in the use of behind with the phrase ten minutes. The more appropriate term here is fast instead of behind because the sentence suggests that the watch

12 Views

Question : Directions: In each of the following question, choose the correct alternative which will improve the part of the sentence given in quotes.

Sumithra "would have missed" the cab if she had not hurried.

  1. would have missing
  2. would has been missing
  3. missed
  4. No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 27th Jan, 2024

Correct Answer: 4


Solution : The correct choice is the fourth option.

The sentence is grammatically accurate and doesn't need any change as per the rule of conditionals. The sentence conveys the idea that Sumithra didn't miss the cab because she had hurried.

Therefore, the given sentence requires no improvement

10 Views

Question : Select the most appropriate SYNONYM of the given word.
Reveal

Option 1: Curb

Option 2: Veil

Option 3: Darken

Option 4: Disclose

Team Careers360 27th Jan, 2024

Correct Answer: Disclose


Solution : The correct choice is the fourth option.

Explanation: The hint here is to look for a word that has a similar meaning to reveal, which implies making something known or showing something that was previously hidden. Disclose fits this context perfectly, as it means

11 Views

Question : Select the most appropriate meaning of the given idiom.

Keep your head

Option 1: Protect yourself

Option 2: Respect yourself

Option 3: Remain calm

Option 4: Be furious

Team Careers360 26th Jan, 2024

Correct Answer: Remain calm


Solution : The correct choice is the third option.

Keep your head is an idiom that means to remain calm in challenging situations.

This is correctly explained in the third option, which says remain calm.

6 Views

Question : Directions: In a certain code language, life and love is written as ri ti gi, life is tangible is written as mi pi ri, and love is pure is written as mi gi oi. How will love be written in that language?

Option 1: gi

Option 2: mi

Option 3: ti

Option 4: oi

Team Careers360 26th Jan, 2024

Correct Answer: gi


Solution : Given:
(I) life and love⇒ri ti gi
(II) life is tangible⇒mi pi ri
(III) love is pure⇒mi gi oi

By comparing all the three coded sentences, we find that –
In sentences I and II, life and ri are common.
In sentences I and III,

10 Views

Question : Veeranatyam is the famous ritual dance form of which of the following states?

Option 1: Tamil Nadu

Option 2: Andhra Pradesh

Option 3: Odisha

Option 4: Kerala

Team Careers360 26th Jan, 2024

Correct Answer: Andhra Pradesh


Solution : The correct answer is Andhra Pradesh.

Veeranatyam is the name of an Andhra Pradesh-based Indian classical dance style. Veeranatyam, a traditional dance with religious undertones from Andhra Pradesh, is also known as the Dance of the Brave (Veera, which means brave, and Natyam,

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