Joint Entrance Examination (Main)
Question : A triangle and a parallelogram have the same base 28 cm and the same area. If the height of the parallelogram is 12 cm, then find the length of the altitude of the triangle.
Option 1: 28 cm
Option 2: 23 cm
Option 3: 24 cm
Option 4: 21 cm
Correct Answer: 24 cm
Solution : Area of the parallelogram = $28 \times 12 = 336\ \mathrm{cm^2}$ Let the length of the altitude of the triangle be $h$ cm. According to the question, $\frac{1}{2}\times h \times 28 = 336$ ⇒ $h = 12\times2$ ⇒ $h = 24\text{ cm}$ Hence, the
Yes as per the Information Bulletin by NTA. Senior Secondary School Examination conducted by the National Institute of Open Schooling with a minimum of five subjects. will be eligible to write an exam for JEE Mains. But to sit for JEE Advanced exam, only top 2.5 lakhs students will get
Question : The first high court in India was established in _______.
Option 1: 1860
Option 2: 1862
Option 3: 1867
Option 4: 1857
Correct Answer: 1862
Solution : The correct answer is 1862.
It was formally known as the High Court of Judicature at Fort William. The first high court in India was established in Calcutta (now Kolkata) in the year 1862 during British rule. After the Sepoy Mutiny in 1857, the
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
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
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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
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