[Official] Quant Thread for 2015!

Remainder when (16^3+17^3-18^3+19^3) is divided by 70..?

Find the area of the region enclosed by | x-4 | + | y-5 | = 8 1.256 2.128 3.192 4.216 Easiest approach plzzz

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Let N = 6^3 x 15^6 x 63^4 and M = 14^8 x 10^4 x 3^5. P is the number of those even factors of N that are not factors of M. Find the value of P.

A. 720 B. 1440 C. 4320 D. 2160

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N=10^10+10^100+10^1000+...10^(10^7) , find rem when div by 7.

find no. of divisors of N=2^7*3^5*5^3 which are of the form 4t+1 where t is a natural no.

n is selected from { 1,2,3,....100} and then no. 2^n+3^n+5^n is formed. How many values n can take so that the no. formed is divisible by 4.

Explain .


The following table gives the brand-wise percentage distribution of certain categories of cars sold in India in 2013.


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No. of SUV sold my HONDA ???


My doubt is just interpretation of the data...

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Guys..approach pls

 A man has to distribute 1!+2!+3!+...100! chocolates equally among n children . what is the only possible value of n from below :

1.5

2.7

3.16

4.9

OA is 4.9 

Please explain . all i could do is find its last two digits as 13 .

There are 3 taps in a keg. If all three are open, the keg is drained in 90 seconds. If tap 1 is closed and other two are opened, keg drains in 2 min. If tap two is closed and other two opened, it drains in 30/13 min. How long it will take to drain the keg if tap 3 is closed and other two are open?

If k = 2.1! + 6.3! + 10.5! + 14.7! + 18.9! + 22.11! and n = 1! - 2.2! + 3.3! - 4.4! .... - 10.10!, then find the remainder when n + 23.11! is divided by k.

By looking at this years pattern of cat which chapters of quant i can skip and which chptrs shud b considered mandatory?

The remainder when 25! is divided by 10^7 is ?

please tell me the approach.

Any reviews on the official CAT mock provided by IIM A?