Official Quant thread for CAT 2013

This seems like an easy question, however, I amn't able to get my head around it.


Last non zero digit in 23!


I'll post the answer as soon I get it. A method will be greatly appreciated folks!

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A box is filled with more than 100 balls and has blue,green,red and yellow coloured balls. In how many ways can chakbir can select 10balls out of the box

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Can yo plz anyone help me out to share links for clocks and calendar concepts?


1.a^2-b^2=400
2.a^2-b^2=2025
3.a^2-b^2=477
find the ordered pairs of (a,b) ?? any shortcut??? i know the conventional way

Can some one please explain as to what the following question means or u can solve and tell me the approach
10 students got different scores in a test .In how many ways can 3 different prizes be given to them?
P.S the answer is 720

Let abc be the three digit number. If bca + bac + cab + cba + acb = 2982, then find a × b × c.

1)48

2)24

3)96

4)None of the above

product of the fourth term and the fifth term of an arithmetic progression is 456. Division of the ninth term by the fourth term of the progression gives quotient as 11 and the remainder as 10. Find the first term of the progression.

a) -52 b) -42 c) -56 d) -66 e) -50

explain plz.😃

A survey over 120 ppl, each like atleast one...,wher 80 prefer Brand A,80 Brand B,64 Brand C..Max and Min no of ppl who like all three brands

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a/(b+c)=b/(c+a)=c/(a+b)+r the values of r can be?

IN tri PQR right angled at Q a perpendicular QS is drawn on PR perpendicular ST and SU are drawn on PQ and QR respectv..if ST=3 and SU=4 Find approx area of tri PQR?? 19.53 15.67 26.04

A two digit number x when increased by x % becomes perfect square y . find y !!
please explain !😃

a,b,c are three natural numbers such that a^2+b^2=c^2. If b and c are two consecutive numbers and c

explain please !


Find the sum of first 24 terms of an A.P if a1+a5+a10+a15+a20+a24=225.

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A cylinder, which has a diameter of 27 and a height of 30, contains two lead spheres with radii 6 and 9, with the large sphere sitting on the bottom of the cylinder. Water is poured into the cylinder so that it just manages to submerge both the spheres. The volume of the water required is?

A bag contains 35 tokens numbered 1 to 35. Five of them are picked randomly and are found to have five consecutive numbers. If the product of the five numbers is P, how many distinct values that P can assume are multiples of 16?a) 23b) 15c) 21d) 31


Please tell me the approach to such questions

Please tell me if attached solution is correct or not ........instead of '3+' I am getting '2 +' in the red highlighted box


Q. If k is a natural number such that 1≤ k ≤ 78, for how many values of k is the tens digit of 31^k equal to 6?

8

15

7

16


How to Handle this type of questions ? I know theres no generic method, but initial approach should work right ??

The nth term and the sum of the first n terms of a sequence are Tn and Sn respectively. If Tn = Tn-1 - Tn-2 and Tn≠0, then which of the following is definitely true?



a S88 = S188

b S66 = S160

c S100 = S160

d S120 = S142


The function f is defined on the set of integers and satisfy

f(n) = n-3 if n>=1000
else
f(n)= f(f(n+5)).
Find f(84)

@scrabbler May like to see pleaselookroundlookround

What is the smallest integer 'N' such that root(N)-root(N-1)

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