Correct Answer: 60

Solution : Let the numbers be $x$ and $y$ where $x > y$.
According to the question,
⇒ $(x + y) – (x – y) = 30$
⇒ $x + y–x + y = 30$
⇒ $y = \frac{30}{2} = 15$
Also, $xy = 900$
⇒ $15x = 900$
$\therefore x = \frac{900}{15} = 60$
Hence, the correct answer is 60.

Correct Answer: 6,000

Solution : Given: In an examination, 92% of the students passed and 480 students failed.
Let the number of the students who appeared in the examination = 100%.
The number of the students failed = 100 – 92 = 8%.
8% = 480
The number of students who appeared in the examination,
100% = $\frac{480}{8}\times 100=6000$
Hence, the correct answer is 6,000.

Correct Answer:

Solution : Since there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures.
The question figure is embedded only in the first option figure.

Hence, the first option is correct.

Correct Answer: INR 500

Solution : Let the cost price be INR $x$.
The cost price first decreased by 10%, then increased by 20%.
So, $\frac{x×90×120}{100×100}=540$
⇒ $108x=54000$
⇒ $x=500$
Therefore, the original cost price = INR 500
Hence, the correct answer is INR 500.

Correct Answer: E

Solution : Given:
A gets more marks than B but less than C.
B < A < C
D gets lesser marks than E but more than A
A < D < E
C gets less than D.
C < D
By concluding all the given information, we have –
B < A < C < D < E

So, E gets the highest marks among all. Hence, the third option is correct.

Correct Answer: Cabinet secretary

Solution : Correct Answer is Cabinet secretary

A civil servant (also called a public employee) is an worker of a public sector undertaking employed by a public sector department or agency of the government of India. A civil servant works for the central government and state governments. A civil servant does not work for any political party. A civil servant answers to the government. A civil servant is the highest executive and senior civil servant of Government of India.

Correct Answer: determined

Solution : The correct choice is the fourth option.

Determined means having made a firm decision and being resolved not to change it. It helps convey the intended meaning that the natural instincts of a man are made in his childhood.

Correct Answer: 45

Solution : Given that the average mark of 60 students is 65.
Total marks = (60 × 65) = 3900
The average mark of half of the students = 85
Therefore, total marks of 30 students = 30 × 85 = 2550
Total marks of the remaining students = 3900 – 2550 = 1350
So, the Average mark of the remaining 30 students = $\frac{1350}{30}$ = 45
Hence, the correct answer is 45.

Correct Answer: 200

Solution : The correct option is 200.

The initial phase of Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) implementation began in 200 districts in February 2006, and it was later expanded to an additional 113 and 17 districts with effect from April 1st, 2007 and May 15th, 2007, respectively.

Correct Answer: Vinayak Damodar Savarkar

Solution : The correct answer is Vinayak Damodar Savarkar.

The first iteration of the Abhinav Bharat Society was a "Mitra Mela" in Nasik. Swantraveer Vinayak Savarkar renamed it in 1904. In 1904, a secret society was established. Following a few assassinations of British government officials, the Savarkar brothers were found guilty and put in prison. Vinayak Damodar Savarkar and his brother, Ganesh Damodar Savarkar, founded it.