Joint Entrance Examination (Main)
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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: $\frac{15}{8}$
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 $\frac{15}{8}$.
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
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
Question : Silver gets corroded due to_________in air.
Option 1: oxygen
Option 2: Hydrogen sulphide
Option 3: Carbon dioxide
Option 4: Nitrogen
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
Question : Assertion: A functional organizational structure enhances specialized expertise.
Reason: It groups employees based on their geographical locations.
Option 1: Both assertion and reason are true, and the reason is the correct explanation of the assertion.
Option 2: Both assertion and reason are true, but the reason is not the correct explanation of the assertion.
Option 3: Assertion is true, but the reason is false.
Option 4: Assertion is false, but the reason is true.
Correct Answer: Both assertion and reason are true, but the reason is not the correct explanation of the assertion.
Solution : The correct answer is (b) Both assertion and reason are true, but the reason is not the correct explanation of the assertion.
The assertion is true. A functional organizational
Question : Where do plants synthesise protein from?
Option 1: Fatty acids
Option 2: Sugar
Option 3: Amino acids
Option 4: Starch
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
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
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
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 =
Question : Rearrange the parts of the sentence in the correct order.
The issue of P. compulsory vaccination is difficult Q. multiple interests all protected by human R. because the governments need to consider S. rights law and strike a fair balance between them
Option 1: PRQS
Option 2: PQRS
Option 3: RSPQ
Option 4: QSPR
Correct Answer: PRQS
Solution : The correct choice is the first option.
It begins by highlighting the difficulty of the overarching issue of compulsory vaccination (P). Following this, it introduces the cause, explaining that it is challenging because governments must consider various concerns (R). The next part specifies these
Hello aspirant,
The JEE Mains syllabus 2024 pdf download is available online thanks to NTA. You can access the condensed JEE Main 2024 syllabus at jeemain.nta.ac.in. Physics, Chemistry, and Mathematics courses and chapters from classes 11 and 12 are included in the NTA JEE Main exam syllabus.
In order to
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