Official Quant thread for CAT 2013

MBA CAT 2024
6001
@krum
@nick_baba 6 ans are possible..either options diye ho..but i feel it should be max sum
6002
@nick_baba said:
V is the natural number below 1000, which has the maximum number of divisors. Find the sum of the digits of V.
2*3*4*5*7 => 32 factors
840 => 12
6003
@Torque024 said:
Aise shi hai? 2^a*3^b*5^c... Max facotrs ke liye a>b>c so 2^8=256 256*3 2^8*3^1 ; Number of factors=9*2=18?@maddy2807 ??
Greater and equal ka sign hoga. Ultimately its also hit n trial
6004
@pavimai said:
180*6 ???
The sum of the interior angles in a polygon with n sides is 180 ş(n €“ 2).
6005
@nick_baba
@krum
@rkshtsurana
yes it shud max value.
6006
@rkshtsurana said:
@krum@nick_baba 6 ans are possible..either options diye ho..but i feel it should be maxsum
i agree..

6007
@krum said:
The sum of the interior angles in a polygon with n sides is 180 ş(n €“ 2).
6008
In how many ways can Rs. 18.75 be paid in exactly 85 coins consisting of 50-paisa, 25-paisa and 10-paisa coins?
6009
Three varieties of rice with Cost Price (in Rs./kg) 28, 36 and 45 are mixed in the ratio a : b : c
respectively. It is known that a, b and c are in Geometric Progression where a Price (in Rs./kg) of the mixture becomes 40. What would have been the Cost Price (in Rs./kg) of the
mixture had the three varieties been mixed in the ratio c : a : b?

6010
@nick_baba said:
In how many ways can Rs. 18.75 be paid in exactly 85 coins consisting of 50-paisa, 25-paisa and 10-paisa coins?
8 ways?
6011
@vijay_chandola said:
Choose one honor/number and then choose one card fom the same honor or number.hence, probability=C(13, 1)*C(4, 2)/C(52, 2)=1/17
yaar 13c1 zaara bata na kaise aaya.....4c2 to samjh gaya..
6012
@deedeedudu said:
8 ways?
6013
@pavimai said:
Three varieties of rice with Cost Price (in Rs./kg) 28, 36 and 45 are mixed in the ratio a : b : crespectively. It is known that a, b and c are in Geometric Progression where a Price (in Rs./kg) of the mixture becomes 40. What would have been the Cost Price (in Rs./kg) of themixture had the three varieties been mixed in the ratio c : a : b?
34
6014
@nick_baba said:
In how many ways can Rs. 18.75 be paid in exactly 85 coins consisting of 50-paisa, 25-paisa and 10-paisa coins?
8 ways ?
6015
@rkshtsurana said:
8 ways ?
6016
@pavimai said:
Three varieties of rice with Cost Price (in Rs./kg) 28, 36 and 45 are mixed in the ratio a : b : crespectively. It is known that a, b and c are in Geometric Progression where a Price (in Rs./kg) of the mixture becomes 40. What would have been the Cost Price (in Rs./kg) of themixture had the three varieties been mixed in the ratio c : a : b?
34?
6017
@rkshtsurana said:
8 ways ?
kaise hoga?
6018
@pavimai said:
Three varieties of rice with Cost Price (in Rs./kg) 28, 36 and 45 are mixed in the ratio a : b : crespectively. It is known that a, b and c are in Geometric Progression where a Price (in Rs./kg) of the mixture becomes 40. What would have been the Cost Price (in Rs./kg) of themixture had the three varieties been mixed in the ratio c : a : b?
34..
ratio
1/4 : 1/2 : 1 :: a:b:c
6019
@rkshtsurana said:
8 ways ?
Kaise kia?
6020

If the sum of first n natural numbers is divisble by 5!. For the smallest possible value of n, find the largest prime that divides the sum of squares of first n natural numbers

A 37

B 31

C 41

D 43