CAT Questions

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Given Word is PROMISE.

Number of letters in the word PROMISE = 7

Number of ways 7 letters can be arranged = 7! ways

Number of Vowels in word PROMISE = 3 (O, I, E)

Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways

Now, the number of ways of arrangements so that three vowels should not come together

= 7! - (5! x 3!) ways = 5040 - 720 = 4320.

Subhash C. Garg, a 1983 batch lAS officer of Rajasthan cadre, has been appointed as the new the economic affairs secretary in the Union Finance Ministry. The post fell vacant after Shaktikanta Das retired on May 31, 2017. Currently, Tapan Ray, the corporate affairs secretary, has the additional charge of the economic affairs department. Prior to this appointment, Garg was Executive Director at World Bank for Bangladesh, Bhutan, India and Sri Lanka.

In given word OLIVER there are 3 vowels E, I & O. These can be arranged in only one way as dictionary order E, I & O.

There are 6 letters in thegiven word.

First arrange 3 vowels.

This can be done in 6C3 ways and that too in only one way.(dictionary order E, I & O)

Remaining 3 letters can be placed in 3 places = 3! ways

Total number of possible ways of arranging letters of OLIVER = 3! x C36 ways = 6x5x4 = 120 ways.

The Union Minister for Science & Technology Dr. Harsh Vardhan has launched a mobile app “Celebrating Yoga” in New Delhi to connect people through Yoga for scientific healthy living. The mobile app has been developed by Department of Science & Technology on the occasion of International Yoga Day (IYD) 2017. The aim of the app is to popularize Yoga and encourage people to practice yoga for a scientifically healthy living.

According to the given data,

P + Q = 41 ......(1)

R - 1 = P + 2

R = P + 3

and

P + 4 = Q - 1

=> Q = P + 5 ....(2)

From (1)&(2)

P = 18

Q = 18 + 5 = 23

R = 18 + 3 = 21

=> P/S = 3/4

=> S = 4/3 x 18 = 24

Required Difference = S - R = 24 - 21 = 3.

In the starting it is given that Couple went to the movie and No other went with them.

So total members went to movie is only 2.

As per the provisions of Section 12 of the Banking Regulation Act, 1949, the minimum ratio should be 4:2:1.