It's a Question of your Career!

Correct Answer: (16, 26, 31)

Solution : Given:
(3,13,18), (29, 39, 44)
Add 10 to the first number to get the second number and add 5 to the second number to get the third number –
⇒ (3,13,18)→3 + 10 = 13, 13 + 5 = 18
⇒ (29, 39, 44)→29 + 10 = 39, 39 + 5 = 44

Let's check each option –
First option: (17, 27, 42)→17 + 10 = 27, 27 + 5 = 32 ≠ 42
Second option: (25, 30, 55)→25 + 10 = 35 ≠ 30, 30 + 5 = 35 ≠ 55
Third option: (26, 30, 47)→26 + 10 = 36 ≠ 30, 30 + 5 = 35 ≠ 47
Fourth option: (16, 26, 31)→16 + 10 = 26, 26 + 5 = 31

So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.

Correct Answer: (1)

Solution : The correct answer is the first option.

Farther should be replaced with further to convey the intended meaning that if he requires additional help, he should be directed to the speaker.

Farther is used to signify physical distance, whereas further is used to refer to something additional to what already exists. Hence, further would be a more appropriate choice for this sentence. The other options, much and best do not go contextually with the sentence.

Therefore, the correct sentence is, "If he wants further help, send him to me".

Correct Answer: Consider

Solution : The correct choice is the fourth option.

Consider means to think about something, typically before making a decision or forming an opinion. It involves examining or reflecting on various aspects of a situation.

The meanings of the other options are as follows:

• Supplicate means to earnestly and humbly ask for something, typically in the form of a request.
• Dramatise refers to the act of turning something, such as a story, event, or situation, into a dramatic form.
• Formerly display seems like an incomplete or unclear phrase. "Formerly" generally means in the past or previously, while "display" refers to exhibiting or showing something. Together, they do not form a typical phrase with a specific meaning.

Therefore, the correct sentence is: Consider what happens when you walk into a fast-food restaurant.

Correct Answer: gt819, ir1017

Solution : Given:
az225, cx423, ev621, _?, _ ?

az225→a + 2 = c; a and z are opposite pairs; 225 + 198 = 423
cx423→c + 2 = e; c and x are opposite pairs; 423 + 198 = 621
ev621→e + 2 = g; e and v are opposite pairs; 621 + 198 = 819
gt819→g + 2 = i; g and t are opposite pairs; 819 + 198 = 1017

So, gt819 and ir1017 are the missing terms of the series. Hence, the third option is correct.

Correct Answer: 110

Solution : Given: The average marks obtained by S1 and S2 is 30 more than the average marks obtained by S2 and S3.
The mark obtained by S3 is 50.
Use the formula, $\text{Average}=\frac{\text{Sum of all values}}{\text{The total number of values}}$.
According to the question,
$\frac{\text{S1+S2}}{2}=\frac{\text{S2+50}}{2}+30$
⇒ $\frac{\text{S1+S2}}{2}–\frac{\text{S2+50}}{2}=30$
⇒ $\frac{\text{S1+S2–S2–50}}{2}=30$
⇒ $S1–50=60$
⇒ $S1=60+50=110$
Hence, the correct answer is 110.

Correct Answer: 3

Solution : $(a + b + c)^{2} = a^{2}  + b^{2} + c^{2} + 2(ab + bc + ca)$
$⇒(a + b + c)^{2} -3(ab + bc + ca) = a^{2} + b^{2} + c^{2} + 2(ab + bc + ca) –3(ab + bc + ca)$
Putting the values of $a, b,$ and $c$, we get,
$⇒(101 + 102 + 103)^{2}-3(101 \times 102 + 102 \times 103 + 103\times 101) = a^{2} + b^{2} + c^{2} - (ab + bc + ca)$
$⇒a^{2} + b^{2} + c^{2} -ab - bc - ca = 306^2 -3(10302 + 10506 + 10403)$
$⇒a^{2} + b^{2} + c^{2} -ab - bc - ca = 93636 -3(31211)$
$⇒a^{2} + b^{2} + c^{2} -ab - bc - ca = 93636 -93633$
$\therefore a^{2} + b^{2} + c^{2} -ab - bc - ca= 3$
Hence, the correct answer is 3.

Correct Answer:

Haliotis

Solution : The correct option is Haliotis.

"Haliotis" refers to the phylum Mollusca and the genus of sea mollusks usually known as abalones. Abalones are gastropod mollusks prized for their iridescent shells, which are frequently utilised in food and ornamental arts. The term "hyla" typically refers to a genus of tree frogs, and these animals belong to the animal kingdom (Kingdom: Animalia). "Hydra" belongs to the phylum Cnidaria. Hares are mammals, specifically from the family Leporidae, and they are closely related to rabbits.

Correct Answer: 11 cm

Solution :
TP = 15 cm
PB = 2$x$ + 3 cm
PA = 9 cm
If a secant AB and tangent at the point T of a circle intersect at a point T of a circle intersect at a point P outside the circle, then PA × PB = PT²
9 × (2$x$ + 3) = 15²
⇒ 2$x$ + 3 = $\frac{225}{9}$ = 25
⇒ $x$ = $\frac{25-3}{2}$ = 11
Hence, the correct answer is 11 cm.

Correct Answer: 4

Solution : There is no error in the sentence. 

The sentence is devoid of any grammatical or idiomatic errors. It conveys frustration and a strong resolve to depart. The subject, verb, and tenses are synchronised with each other.

Correct Answer: Civil Aviation

Solution : The correct answer is Civil Aviation.

The acronym UDAN, which stands for Ude Desh Ka Aam Nagrik, means "enabling the country's common citizens to fly". It is an essential part of the National Civil Aviation Policy (NCAP) of India, which was started in June 2016 by the government of Prime Minister Narendra Modi. The goal of the UDAN program is to provide connectivity to underserved and rural areas of India and to enhance the development of regional airports. The main goal is to increase the affordability and accessibility of air travel for all Indians.