CAT Questions

---

Given, difference of the squares of two numbers is 180.

= k² - l² - 180

Also, square of the smaller number is 8 times the larger.

= l² = 8k

Thus, k² - 8a - 180 = 0

k² – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

Thus, the other number is

324 - 180 = l² 

→ Numbers are 12, 18 or -12, 18.

According to 2018 January reports, Mukesh Ambani is the first richest person in India being 18th in the world, followed by Azim Premji and S.P. Hinduja in second and third places.

The National Defence Academy is formed by combining the cadets of three services Army, Navy and Air force. The Defence academy established on 7 December 1954. Its motto is "Service Before Self."

Synchronous motor is a motor which runs at a constant speed irrespective of load attached to it. So the speed regulation of synchronous motor is ZERO.

The Planning Commission was an institution in the Government of India started by Jawaharlal Nehru, The First Prime Minister of Independent India, in the year 1950. Later, this was replaced by NITI Aayog in 2015 by now and than Prime Minister Narendra Modi to ensure implementation of the Sustainable Development Goals by fostering the involvement of State Governments of India in the economic policy-making process.

NITI Aayog means National Institute for Transforming India. Narendra Modi is the Chairman of NITI Aayog.

Rana Pratap Sagar Dam is built on Chambal river in Rajasthan.