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Question : If $\tan \theta=\frac{8}{15}$, then the value of $\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}$ is:
Option 1: $\frac{1}{5}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{2}{5}$
Option 4: $\frac{4}{5}$
Correct Answer: $\frac{3}{5}$
Solution : $\tan \theta=\frac{8}{15}=\frac{\text{Perpendicular}}{\text{Base}}$ $\therefore$ Hypotenuse = $\sqrt{8^2+15^2}=\sqrt{289}= 17$ So, $\sin \theta=\frac{8}{17}$ $\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}=\sqrt{\frac{1-\frac{8}{17}}{1+\frac{8}{17}}}=\sqrt{\frac{\frac{9}{17}}{\frac{25}{17}}}=\sqrt{\frac{9}{25}}=\frac{3}{5}$ Hence, the correct answer is $\frac{3}{5}$.
HELLO!
There are numerous colleges and institutions in India that offer BSc courses in Forensic Science.
Here are the list of few good colleges for Forensic Science :-
Question : Let $x$ be the least number divisible by 16, 24, 30, 36, and 45, also $x$ is also a perfect square. What is the remainder when $x$ is divided by 123?
Option 1: 100
Option 2: 40
Option 3: 103
Option 4: 33
Correct Answer: 33
Solution : Given: Let $x$ be the least number divisible by 16, 24, 30, 36, and 45, also $x$ is a perfect square. LCM of 16, 24, 30, 36, and 45 = 24 × 32 × 5 = 720 The number is not a perfect
Hello Aspirant,
In India, horticulture is offered at several levels, including degree, diploma, and certificate. India has six colleges that offer horticulture; these are divided into public and private universities based on ownership. Bangalore offers a wide range of specializations for horticulture, including biotechnology, chemistry, and mathematics.
Some of the
Question : Directions: If P ÷ Q means that P is the mother of Q, P × Q means that P is the father of Q and P – Q means that P is the sister of Q, then which of the following expressions shows that A is the father of C?
Option 1: B × A – C
Option 2: A × B – C
Option 3: A × B ÷ C
Option 4: A – B × C
Correct Answer: A × B – C
Solution : Let's check the given options – First option: B × A – C According to the above expression, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the
Question : Which of the following countries is the highest per capita emitter of carbon dioxide in the world?
Option 1: Saudi Arabia
Option 2: Qatar
Option 3: U.S.A
Option 4: India
Correct Answer: Qatar
Solution : The correct answer is Qatar.
Qatar has the world's highest per capita CO2 emissions. This is mostly due to the high rates of combustion of fossil fuels, which are cheaply available in the nation. Qatar is followed by Trinidad, Tobago, Kuwait, and the
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
The teachers, who I worked with, were very insensitive towards children's needs.
(1) The teachers, who I worked with
(2) were very insensitive
(3) towards children's needs.
(4) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
Explanation: The error is in the phrase "who I worked with", which should be corrected to "with whom I worked", as the objective form of the relative pronoun "who" needs to be used, as it refers
Question : Directions: The prices of seven mobiles M1, M2, M3, M4, M5, M6, and M7 are compared. The price of M7 is more than M5 and less than M4. The price of M1 is more than M6 and less than M2. The price of M2 is less than the price of M5. If the price of M4 is less than only one mobile, then which of the following options is correct?
Option 1: M3 > M4
Option 2: M6 > M5
Option 3: M1 > M5
Option 4: M7 > M3
Correct Answer: M3 > M4
Solution : Given: (I) The price of M7 is more than M5 and less than M4. M4 > M7 > M5 (II) The price of M1 is more than M6 and less than M2. M2 > M1 > M6 (III) The price of M2 is
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