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Joint Entrance Examination (Main)

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Question : Which one of the following is the longest river in the world ?

Option 1: Amazon

Option 2: Yangtze-Kiang

Option 3: Nile

Option 4: Mississipi-Missouri

Team Careers360 9th Jan, 2024

Correct Answer: Nile


Solution : The correct answer is Nile.

Nile is the longest river in the world. It is formed by the confluence of the river Blue Nile and White Nile. It originates from Burundi in Africa and drains into Mediterranean Sea. It has a length of about 6656

17 Views

Question : If $\sec A=\frac{17}{15}$, then what is the value of $\cot A$?

Option 1: $\frac{15}{21}$

Option 2: $\frac{15}{7}$

Option 3: $\frac{8}{15}$

Option 4: $\frac{15}{8}$

Team Careers360 24th Jan, 2024

Correct Answer: $\frac{15}{8}$


Solution : Given: $\sec A=\frac{17}{15}$
$⇒\cos A = \frac{15}{17}$
$⇒\sin A = \sqrt{1-\cos^2 A}= \sqrt{1-(\frac{15}{17})^2}$ = $\sqrt{\frac{64}{289}}$ = $\frac{8}{17}$
$\therefore \cot A = \frac{\cos A}{\sin A} = \frac{\frac{15}{17}}{\frac{8}{17}} = \frac{15}{8}$
Hence, the correct answer is $\frac{15}{8}$.

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Question : Ali, Avtar Singh, and Ashok working together can finish a work in 8 days. Ali alone can do it in 20 days and Avtar Singh alone can do it in 24 days. In how many days can Ashok alone do the same work?

Option 1: 30

Option 2: 28

Option 3: 26

Option 4: 25

Team Careers360 22nd Jan, 2024

Correct Answer: 30


Solution : Let the total work be 1 unit. 
Ali can finish the work in 20 days.
Ali's work rate = $\frac{1}{20}$ units per day. 
Avtar Singh can finish the work in 24 days.
Avtar Singh's work rate = $\frac{1}{24}$ units per day. 
Ali, Avtar Singh, and

18 Views

Question : Silver gets corroded due to_________in air.

Option 1: oxygen

Option 2: Hydrogen sulphide

Option 3: Carbon dioxide

Option 4: Nitrogen

Team Careers360 9th Jan, 2024

Correct Answer: Hydrogen sulphide


Solution : The correct option is Hydrogen sulphide.

Silver can corrode due to the airborne hydrogen sulphide (H2S) content. Silver sulphide (Ag2S) is the main component of the black tarnish that results from exposure to Hydrogen sulphide on silver. This tarnish coating

15 Views

Question : Where do plants synthesise protein from?

Option 1: Fatty acids

Option 2: Sugar

Option 3: Amino acids

Option 4: Starch

Team Careers360 14th Jan, 2024

Correct Answer: Amino acids


Solution : The correct option is Amino acids.

Plants produce proteins from amino acids, the building blocks of proteins. Plants capture solar energy and transform it into chemical energy, which is then used to power numerous cellular processes such as amino acid synthesis. These amino acids

353 Views

i got 50 marks in jee mains so what will be my percentile and rank? ( sc category )

hritik 21st Feb, 2024

Your percentile will be around: 70.26. And your overall rank will be in the range of 317130 - 356500.

Talking about your chances to get a seat in NITs, IIITs, will be tough.

Still you do have another chance to score better so that you will be having good chance

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Question : Directions: In the following question, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
16, 30, ?, 79, 114 

Option 1: 45

Option 2: 49

Option 3: 63

Option 4: 51

Team Careers360 5th Jan, 2024

Correct Answer: 51


Solution : Given:
16, 30, ?, 79, 114 

Add the consecutive multiples of 7 in the previous term to obtain the next term of the series.
16 + (7 × 2) = 16 + 14 = 30
30 + (7 × 3) = 30 + 21 =

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