Official Quant thread for CAT 2013

MBA CAT 2022
2921
@soham2208 said:
9999 = 9*11*101

N = 2222^3333^4444^....

N mod 9 = (-1)^odd = 8
N mod 11 = 0
N mod 101 = 0

N = 9k + 8 = 11m = 101a

N = 1111p = 9k + 8
=> 4*(p mod 9) = 8
=> p = 9r + 2

=> N = 1111*(9r + 2) = 9999r + 2222

N mod 9999 = 2222 ?
jab se cat gaya hai, aisa lagta hai sab kuch bhool gaya hoon :D
why did i forget CRT :banghead:
2922
@techsurge said:
jab se cat gaya hai, aisa lagta hai sab kuch bhool gaya hoon why did i forget CRT
Spend some days here, you would get your form back. If Yuvraj can get it back, you can too :thumbsup:
2923
@viewpt said:
Q: 2222^3333^4444^....... div 9999 R=?
2222 ?
2924
@viewpt said:
Q: 2222^3333^4444^....... div 9999 R=?
2222
2925
@rachit_28 said:
Mukesh, Suresh and Dinesh, Travel from delhi to Mathura to attend Janmashtami. They have a bike which can carry only two persons at a time.Only Mukesh can drive the bike. Mathura is 300 Km from delhi.All of them can walk at 15 Km / Hr. All of them start the journey from delhi at same time. They are required to reach mathura at same time. If speed of bike is 60 Km/Hr Then WHAt is the shortest possible time in which call can reach at same time. ?PS: Don't have the OA.
P_____________Q________________R_______________S
P and S are the starting and end points respectively. Mukesh and Suresh travelled on bike from P to R, then Mukesh went back to Q to pick Dinesh and then they all reached S at the same time

PQ = RS = x (as time taken by Suresh and Dinesh are same.

x/15 + (300 - x)/60 = (300 - x + 300 - 2x + 300 - x)/60
300 + 3x = 900 - 4x
x = 600/7

Time taken (shortest) = 40/7 + 25/7 = 65/7 hours
2926
@rachit_28 said:
Mukesh, Suresh and Dinesh, Travel from delhi to Mathura to attend Janmashtami. They have a bike which can carry only two persons at a time.Only Mukesh can drive the bike. Mathura is 300 Km from delhi.All of them can walk at 15 Km / Hr. All of them start the journey from delhi at same time. They are required to reach mathura at same time. If speed of bike is 60 Km/Hr Then WHAt is the shortest possible time in which call can reach at same time. ?PS: Don't have the OA.


Mukesh will travel certain distance with any one of them, then he will return to pick up the other guy and the 3 would reach at the same time.

say Mukesh travels x km first and drops Dinesh

time taken = x/60 hr
distance traveled by Suresh in that time = x/4 km

time taken by Mukesh to meet Suresh = 3x/4*1/75 = x/100 hr

==> (300-x/100*15-x/4)/60 = (300-x-x/100*15)/15
==> (300-3x/20-x/4)/4=300-x-3x/20
==> 300-8x/40=1200-4x-3x/5
==> 4x+3x/5-2x/5=900
==> 21x/5=900
==> x=1500/7

so time taken = 1500/7*1/60 + (300-1500/7)*1/15
= 25/7+40/7
= 65/7 hr
2927
N O S I E R
+A S T R A L
---------------
7 2 5 6 1 3

no letter represents 0

find the word for 725613

2928
Find out Betty's house number form following clues..

1) If her house ' number is a multiple of 3 , then it is a number from 50 through 59.
2) If her house number is not a multiple of 4, then it is a number from 60 through 69.
3) If her house number is not a multiple of 6, then it is a number from 70 through 79.


2929
@bullseyes said:
Find out Betty's house number form following clues.
.

1) If her house ' number is a multiple of 3 , then it is a number from 50 through 59.
2) If her house number is not a multiple of 4, then it is a number from 60 through 69.
3) If her house number is not a multiple of 6, then it is a number from 70 through 79.


76??
2930
Three men were travelling in a railway compartment. One of them was a very wealthy businessman. The other two had food with them and invited the businessman to join them in their meal. One man had brought 5 chapatis and the other had 3. The three of them ate together and the food was shared equally.
On parting, the businessman gave 8 gold coins to the two men, as a token of his appreciation of their hospitality, and told them to share the coins in proportion to their contribution of food. An argument started. The man who had brought 5 chapatis felt that he should get 6 coins and the other man should get 2 coins. But the man who had brought 3 chapatis felt that he should get 3 coins and the other man should get 5 coins. As the argument continued a crowd gathered. Then a wise old man, who was listening, intervened and offered to settle the dispute. He gave 'x' number to 5 chapati man and 'y' to other..

What is 'x' and 'y' ??

for those who have done this qs dnt ruin other's chances of doing this.
2931
@bullseyes said:
Find out Betty's house number form following clues..1) If her house ' number is a multiple of 3 , then it is a number from 50 through 59.2) If her house number is not a multiple of 4, then it is a number from 60 through 69.3) If her house number is not a multiple of 6, then it is a number from 70 through 79.
76?
2932
@maddy2807 said:
76?
indeed
2933
@bullseyes said:
Three men were travelling in a railway compartment. One of them was a very wealthy businessman. The other two had food with them and invited the businessman to join them in their meal. One man had brought 5 chapatis and the other had 3. The three of them ate together and the food was shared equally.
On parting, the businessman gave 8 gold coins to the two men, as a token of his appreciation of their hospitality, and told them to share the coins in proportion to their contribution of food. An argument started. The man who had brought 5 chapatis felt that he should get 6 coins and the other man should get 2 coins. But the man who had brought 3 chapatis felt that he should get 3 coins and the other man should get 5 coins. As the argument continued a crowd gathered. Then a wise old man, who was listening, intervened and offered to settle the dispute. He gave 'x' number to 5 chapati man and 'y' to other..

What is 'x' and 'y' ??
7:1
2934
@techsurge said:
7:1
approach
2935
@bullseyes said:
Three men were travelling in a railway compartment. One of them was a very wealthy businessman. The other two had food with them and invited the businessman to join them in their meal. One man had brought 5 chapatis and the other had 3. The three of them ate together and the food was shared equally. On parting, the businessman gave 8 gold coins to the two men, as a token of his appreciation of their hospitality, and told them to share the coins in proportion to their contribution of food. An argument started. The man who had brought 5 chapatis felt that he should get 6 coins and the other man should get 2 coins. But the man who had brought 3 chapatis felt that he should get 3 coins and the other man should get 5 coins. As the argument continued a crowd gathered. Then a wise old man, who was listening, intervened and offered to settle the dispute. He gave 'x' number to 5 chapati man and 'y' to other..What is 'x' and 'y' ??
x=7.......y=1???????
2936
@bullseyes said:
approach
all of them shared equal
=8/3 =2.66
now first both of the food suppliers ate their own part =2.66
left =2.33 and 0.33
so the ratio of their parts =2.33 :0.33=7:1
2937
@techsurge said:
all of them shared equal=8/3 =2.66now first both of the food suppliers ate their own part =2.66left =2.33 and 0.33so the ratio of their parts =2.33 :0.33=7:1
i m counting on u to do that first qs also 😃
2938
@bullseyes said:
i m counting on u to do that first qs also
gareeb aadmi ki baesti
same question came in my AI paper in last semester of Engg and I left, AI ki book mein dhundo, Apti ki book mein nahi
is ka kuch specific naam tha, Other engineer puys might remember . I to have forgotten my engineering , kuch decrypt ...pata nahi
2939
@bullseyes said:
N O S I E R+A S T R A L --------------- 7 2 5 6 1 3no letter represents 0find the word for 725613

293768
431845

725613 = INLETS
2940

Which of the following numbers can be written as the sum of three odd natural numbers?

A.5021
B.4445
C.3339
D.1233

with approach please :D