Official Quant thread for CAT 2013

Q3






3a+2b+c=30 Number of non-negative integral solutions..???

From a square piece of card board, measuring '2a' on each side a box with no top is to be formed by cutting out from each corner a square with side 'b' and bending up the flaps. The value of 'b' for which the box has the greatest volume is

..
  • a/4
  • a/5
  • a/6
  • a/3
  • a/2

0 voters

What will b d sum of all d 4 digit nos. dat can b made wid d digits 0,1,2 and 4? (Repetition not allowed). give d approach too.

LCM and HCF of (4/9,4/81) will be

find number of ways u can fill a 3*3 grid if u have 3 white marbles and 6 black marbles??

Q. If 13x + 17y = 555, where x and y are natural numbers, what is the maximum possible value of the product of x and y?

a 657

b 250

c 324

d None of these

if v,w,x,y and z are non negative integers less than 11. then how many distinct combinations of (v,w,x,y,z) satisfy v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001

how many six digit numbers can be formed using digits 1 to 6 without repetition such that the number is divisible by the digit at its unit place???

Remainder when (21^231)/25

a) 4
b) 16
c) 1
d) None of the above

Need to get the funda behind these question.. Someone please help !


I) How many pairs of natural numbers are there such that difference of their squares in 36
a) 1
b) 2
c) 3
d) None of these

II) Number of solutions of the equation (m^2)=1614 + (n^2)
a) 1
b) 2
c) 5
d) None of these


find the number of ways of arranging the word CALENDER in such a way that exactly two letters are present between L and D?

how many six digit numbers can be formed using digits 0 to 5 without repetition such that number is divisible by the digit at its unit place???

Milk of 35 Ltrs is adulterated to an extent of 10%. What proportion of the adulterated mixture should be replaced by pure milk so that the concentration increases to 98%


a) 6 Ltrs
b) 5 Ltrs
c) 10 Ltrs
4) 28 Ltrs

194 !/197.............find out the remainder? and plz share the approach...........

A can complete a piece of work in 2.25 days. B takes double the time taken by A.. C takes double time taken by b.. D takes double time taken by C.. they are split into two groups(of one or more) such that difference between time taken by two groups to complete same work is minimum..what could be composition of faster group?? 1)A and D 2)B and C 3) A alone 4) B,C D

log (e(e(e........)^1/2)^1/2)^1/2????...base is e not 10..... 1) 0 2)1/3 3)1/2 4)1

@Empathy

What is the total number of divisors of S? S is the sum of digits of the number formed by taking 3 + 33 + 333 + €Ś upto 10 terms?



8 answers 1) 6



16 answers 2) 8



3 answers 3) 12



12 answers 4) non



....a shot from a different angle all together......:--Mod (S) = 3=> S = 9p+3further on analyzing S it could be realized that S can not be greater than 44444...10 times = sum of whose digits would be 4*10 =40 .Hence sum of digits has to be of the form 9p+3 and can not be more then 40......30 is the only such number.Therefore number of factors = 8,,,,🍻

for rs 600 K can buy a maximum of 24 cups of tea and for rs 1000 he can buy a maximum of 15 cups of coffee..he has rs 2200 and purchases 8 cups of tea then what is the max number of coffee cups can he buy with the remaining amount???

Refer to the Image.