CAT Questions

---

Present age of Sony = 24 + 4 = 28 years

After 5 years Renuka's age = 7×5 + 5 = 40 years

The first ever joint military exercise named 'Sagarmatha Friendship-2017' is all set between Nepal and China. Sagarmatha is the Nepali name for Mt Everest, which stands in between both the countries.

The Indian Space Research Organisation (ISRO) has successfully launched its 3136 kg GSAT-19 communication satellite with its brand new and heaviest – Geosynchronous Satellite Launch Vehicle Mark-III D-1 (GSLV-Mk III D-1) satellite into Geosynchronous Transfer Orbit (GTO) from the Satish Dhawan Space Centre (SDSC) in Sriharikota, Andhra Pradesh on June 5, 2017. The satellite GSAT-19 has an intended life span of 10 years and is developed to improve telecommunication and broadcasting areas. The GSLV-Mk III is popularly known as “fat boy” and is developed for 15 years at a cost of around Rs 300 crore. The rocket is capable of carrying payloads of up to 4,000 kg into the GTO and 10,000 kg into the Low Earth Orbit (LEO). The GSLV-Mk III is a three stage rocket. Its first stage is made of two strap on motors filled with solid fuel. The second stage uses the liquid fuel and the third is the cryogenic upper stage “C25”, which is powered by the highly complex indigenous cryogenic engine “CE20”. The number 20 denotes the 20-ton thrust it generates for the rocket to reach the intended height with the heavy mass on board.

As A1 speaks always after A2, they can speak only in  1st  to 9th places and 

A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place 

A2 can speak in 9 places the remaining 

 A3, A4, A5,...A10  has no restriction. So, they can speak in 9.8! ways. i.e

when A2 speaks in the first place, the number of ways they can speak is 9.8!.

When A2 speaks in second place, the number of ways they can speak is  8.8!.

When A2 speaks in third place, the number of ways they can speak is  7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8!

Therefore,Total Number of ways they can  speak = (9+8+7+6+5+4+3+2+1) 8! = 92(9+1)8! = 10!/2

Let total amount = Rs. P

Total expenditure = (23 + 33 + 19 + 16)% of P = 91%ofP

Remaining money = (100 - 91)% of P = 9% of P

But given in the question that,

9% of P = 504

9p/100 = 504

=> P = 50400/9

=> P = Rs. 5600

Required money spent on Food & Insurance = 23 + 33 %

= 56% of 5600

= 56 x 5600/100 = 56 x 56 = Rs. 3136

We know that, Total probability = 1

Given probability of black stones = 1/4

=> Probability of blue and white stones = 1 - 1/4 = 3/4

But, given blue + white stones =  9 + 6 = 15

Hence,

3/4 ----- 15

 1   -----  ?

=> 15 x 4/3 = 20.

Hence, total number of stones in the box = 20.