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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
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 = $\frac{1}{3}\pi r^2 h$
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
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
Question : Study the given table and answer the question that follows. The table shows the production of different varieties of rice (in quintals) from 2018-2021.
In which year was rice of variety C produced the maximum?
Option 1: 2018
Option 2: 2021
Option 3: 2020
Option 4: 2019
Correct Answer: 2021
Solution : In the year 2021, the rice of variety C was produced the maximum. 98 > 89 > 67 Hence, the correct answer is 2021.
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: $\frac{7}{39}$
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}$.
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
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
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.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
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
Question : Select the most appropriate SYNONYM of the given word. Reveal
Option 1: Curb
Option 2: Veil
Option 3: Darken
Option 4: Disclose
Correct Answer: Disclose
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
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
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.
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
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,
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
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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