CAT Questions

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But at x=-1/3, log x is not defined.

The only admissible value of x is 1.

We know that,

1 year = 365 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds.

Then, 1 year = 365 x 24 x 60 x 60 seconds.

= 8760 x 3600

1 year = 31536000 seconds.

Hence, 10 years = 31536000 x 10 = 315360000 seconds.

Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.

Rate of interest = (100 x 240) / (1200) = 20% p.a

K.K. Venugopal is the new Attorney General of India since 2017.

Kottayan Katankot Venugopal, known generally to us as K. K. Venugopal is an eminent Indian constitutional lawyer and a senior advocate in the Supreme Court of India.

He was preceded by Mukul Rohatgi.

Todar Mal was associated with land revenue reforms.

Raja Todar Mal was the Finance Minister of the Mughal empire during Akbar's reign. He was one of the Navaratnas in Akbar's durbar.

Let M and m grams be the mass of boat + rock in it. By law of floatation(M+m) grams of water will be displaced. This has a volume of (M+m)cc. That means the level of water in pool has risen up by (M+m)cc with the boat + rock when it is floating. If the rocks in the boat are thrown not into the pool but outside, the weight left is only M grams the weight of the boat. This will have displaced M cc of water only i.e less water than in the case of loaded boat. But if the rocks are put in the water in the pool and not outside, then the water in the pool will rise not only by M cc on account of empty boat but also by a volume of the stone put into it. This volume will be mdwhere m is the mass of rock and d density of rock.

Now md is  < m. Thus the total rise will be M+mdwhich is < M + m.

Political stalwarts Sharad Pawar, Murli Manohar Joshi and the late Lok Sabha Speaker P A Sangma, cricketer Virat Kohli and Bollywood singer Anuradha Paudwal were among the 39 people who conferred this year’s Padma awards.

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.

Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35

Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105

Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35

Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21