# @rahul005

##### rahul srivastav 13 karma
###### CATNumber System - Questions & Discussions

A = {3, 23, 43 ………… 603} and S is a subset of A. If the sum of no two elements of S is more than 606, then what can be the maximum possible number of elements in S?

ans..16.pls EXPLAIN
• 1 Like
###### CATNumber System - Questions & Discussions

The 38th term and the 88th term of an arithmetic progression are 301/25 and 903/25 respectively.If the total number of terms in the progression is 175, what is the ratio of the sum of the first 75 terms to the sum of the last 100 terms of the progression?

ans..1/6(pls show detailed sol.)
###### CATNumber System - Questions & Discussions

correct...pls show detailed process.

###### CATNumber System - Questions & Discussions
A natural number N has €˜k €™ distinct prime factors. If the total number of factors of N is 72, then what is the product of all the possible values of k?
###### CATNumber System - Questions & Discussions
10000! = (100!)K P, where P and K are integers. What can be the maximum value of K?

a)104
b)103
c)102
d)105
pls show detailed sol.
###### CATNumber System - Questions & Discussions
18^2000+12^2000-5^2000-1 is divisible by

a)323
b)221
c)299.
pls show detailed sol.
###### CATNumber System - Questions & Discussions

Find the number of three-digit numbers that can be expressed as the sum of four consecutive,five consecutive and seven consecutive positive integers.

1)9 2)10 3)11 4)14 5)6

pls show detaied sol
###### CATQuant by Arun Sharma

pls show detailed sol.

###### CATQuant by Arun Sharma

A school having 270 students provides facilities for playing four games Cricket, Football, Tennis and Badminton. There are a few students in the school who do not play any of the four games. It is known that for every student in the school who plays at least N games, there are two students who play at least (N 1) games, for N = 2, 3 and 4. If the number of students who play all the four games is equal to the number of students who play none, then how many students in the school play exactly two of the four games?

a30
b60
c90
d120
pls show detailed sol.

###### CATQuant by Arun Sharma

A and B are stationed at two points Q and R respectively on a flowing river.The direction of flow of river is from Q to R.When A and B swim towards each other,they meet at P,which is at a distance of 20m from the point R.When A swims towards B and B swims away from A,they meet at S,which is at a distance of 40m from the point R.B's speed in still water is five times the speed at which the river flows.

1)Find the ratio of speeds of A and B in still water
a)6:1
b)7:1
c)8:1
d)5:1

2)On a particular day A and B start swimming towards each other simultaneosly from the points where they are stationed.When A was 'y'm away from the point P,B turns back and they meet at the point R.Find the value of y.
a)52m
b)56m
c)58m
d)60m
e)none of these
pls show detailed sol.