Question : Using $\operatorname{cosec}(\alpha+\beta)=\frac{\sec \alpha \times \sec \beta \times \operatorname{cosec} \alpha \times \operatorname{cosec} \beta}{\sec \alpha \times \operatorname{cosec} \beta+\operatorname{cosec} \alpha \times \sec \beta}$, find the value of $\operatorname{cosec} 75°$.

Option 1: $\frac{\sqrt{6}+\sqrt{2}}{4}$

Option 2: $\frac{\sqrt{6}-\sqrt{2}}{4}$

Option 3: $\sqrt{6}-\sqrt{2}$

Option 4: $\sqrt{6}+\sqrt{2}$

Question : Who became the first woman officer to join the Army Aviation Corps as a Combat Aviator after the successful completion of training in May 2022?

Option 1: Captain Abhilasha Barak

Option 2: Captain Shiva Chauhan

Option 3: Captain Gursimran Kaur

Option 4: Captain Manju Sharma

Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.

A marketplace is always abuzz with activity. It is especially (1)________a visit in the evenings. A (2)_______range of items are on display. (3) ________and getting a satisfactory (4) __________give the necessary sense of (5) __________to the bored housewife and bring a smile (6) __________her face. People from all (7) __________of life, rich and poor, (8) __________shoulders with each other. From their busy (9). ____________, here people find time to (10) ____________a greeting with friends or neighbours.

Question:
Select the most appropriate option to fill in the blank number 3.

Option 1: Fighting

Option 2: Bargaining

Option 3: Debating

Option 4: Snatching

Question : Which Constitutional Amendment Act deals with the disqualification of MPs and MLAs?

Option 1: 42nd Amendment Act

Option 2: 52nd Amendment Act

Option 3: 62nd Amendment Act

Option 4: 32nd Amendment Act

Question : Which fraction among the following is the least?
$\frac{5}{11}, \frac{7}{12}, \frac{8}{13}, \frac{9}{17}$

Option 1: $\frac{5}{11}$

Option 2: $\frac{7}{12}$

Option 3: $\frac{9}{17}$

Option 4: $\frac{8}{13}$

Question : The sum of three fractions is $2\frac{11}{24}$. On dividing the largest faction by the smallest fraction, $\frac{7}{6}$ is obtained which is $\frac{1}{3}$ greater than the middle fraction. The smallest fraction is:

Option 1: $\frac{5}{8}$

Option 2: $\frac{3}{4}$

Option 3: $\frac{5}{6}$

Option 4: $\frac{3}{7}$

Question : In a right triangle for an acute angle $x$, if $\sin x=\frac{3}{7}$, then find the value of $\cos x$.

Option 1: $\frac{2}{7}$

Option 2: $\frac{3}{4}$

Option 3: $\frac{1}{\sqrt{3}}$

Option 4: $\frac{2\sqrt{10}}{7}$

Question : In INR 150, B buys 10 pens for INR 8 each, 10 erasers for INR 5 each and some sharpeners for INR 4 each. What is the average price per item in INR?

Option 1: 8

Option 2: 7

Option 3: 10

Option 4: 6

Question : Solve the following: 22 – [9 – {6 – (10 – 4 + 3 )}] ÷ 2 × 3

Option 1: 12

Option 2: 4

Option 3: 3

Option 4: 20

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 tragedy of Julius Caesar (1) / was written by William  Shakespeare (2) / about 1599.  (3) /  No Error (4)

Option 1: (1) 

Option 2: (2) 

Option 3: (3)

Option 4: (4)