CAT Questions

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India’s leading cueist Pankaj Advani teamed up with Laxman Rawat to demolish Pakistan in the final of the Asian Team Snooker Championship by 3-0 in Bishskek, Kyrgyszstan on July 5, 2017. With the title and the win in the final, Advani remained the only player not to lose a single individual match in the team event. This title brings up Advani’s second Asian title this season and 8th overall while it was a first major first international title for Rawat.

Logic is

1st fig : 9x2 + 5 = 23

2nd fig : 6x3 + 4 = 22

3rd fig : Nx4 + 5 = 9 => N = 1.

Here total distance = 154 + 101 = 255 mts
Given speed = 120 kmph = 120x5/18 m/sec
Hence, Time = d/s = 255x18/120x5 = 7.65 sec

Given the salaries are in the ratio of 4 : 5 : 6

Now the salaries are increased by 50%, 60% and 50% respectively

The New ratio of salaries will be

4 x (150/100) : 5 x (160/100) : 6 x (150/100)

= 6 : 8 : 9

The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6

International Plastic Bag Free Day was observed on 3rd of July 2017. It has been dedicated to heightening awareness about plastic and disposable carrying devices. International Plastic Bag Free Day gives us an opportunity to remind ourselves, and others, that every action we take, and every bag we dispose of effects the lives of everyone in the world for generations to come.

Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then,

As we know:

Simple interest (S.I.) = PTR/100

(a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200

= 10a + 12b + 15c = 320000 .........(1)

Now, c = 240% of b = 12b/5 .........(2)

And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3)

From (1), (2) and (3), we have

16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000

∴ Sum invested in Scheme Y = Rs.5000.

CAPITAL = 7

Vowels = 3 (A, I, A)

Consonants = (C, P, T, L)

5 letters which can be arranged in  5P5=5!

Vowels A,I = 3!2!

No.of arrangements = 5! x 3!2!=360

The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on...
So,
22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.