Official Quant thread for CAT 2013

MBA CAT 2024
25168
@amresh_maverick said:
120 -66 = 54
91 - 55 na?

n(n-1)/2 not n(n+1)/2...

Edit: Sorry, if you include A and B phir tera waala makes sense.

regards
scrabbler
25169
@albiesriram said:
Q) Figures 0,1,2 3 consist of 1,5 ,13 ,25 non overlapping unit squares, respectively. If the pattern were continued, how many non overlapping unit squares would there be in figure 100?
101^2 + 4 = 10205 ?
25170
@jain4444 said:
101^2 + 4 = 10205 ?
isnt that 101^2 + 100^2 ?
25171
@albiesriram said:
Q) Figures 0,1,2 3 consist of 1,5 ,13 ,25 non overlapping unit squares, respectively. If the pattern were continued, how many non overlapping unit squares would there be in figure 100?
0^2 + 1^2 = 1
1^2 + 2^2 = 5
2^2 + 3^2 = 13
3^2 + 4^2 = 25
.
.
.
100^2 + 101^2 = 20201

regards
scrabbler
25172
@albiesriram said:
isnt that 101^2 + 100^2 ?

ab budhe ho gaye hai bhai dimag nahi chalta

Let a, b, c, d be Non-Zero digits....
The total number of Numbers "abcd" such that
a*b + c*d is EVEN
25173
@jain4444 said:
ab budhe ho gaye hai bhai dimag nahi chalta Let a, b, c, d be Non-Zero digits....The total number of Numbers "abcd" such that a*b + c*d is EVEN
5500?

regards
scrabbler
25174
@jain4444 said:
ab budhe ho gaye hai bhai dimag nahi chalta Let a, b, c, d be Non-Zero digits....The total number of Numbers "abcd" such that a*b + c*d is EVEN
o: odd
e: even

o*o + o*o => 625 ways

e + e = 56^2 = 3136

total = 3761 ?
25175
3761?

625+256+4(320)+4(400)
25176
Let n be a positive integer such that , is an integer.

Which of the following statements is not true:
a) n is divisible by 2
b) n is divisible by 3
c) n is divisible by 7
d) 6 divides n.
e) n> 84

25177
@albiesriram said:
Let n be a positive integer such that ,is an integer.Which of the following statements is not true:a) n is divisible by 2b) n is divisible by 3c) n is divisible by 7d) 6 divides n.e) n> 84
It is clear that if n=42 ..result becomes 1:)
so e is clearly false...

Team BV--Pratik Gauri
25178
Mr x has 3 varieties of rice ie 15 rs ,18 rs ,22 rs per kg.he mixes it and sells at 22 rs a kg and gains 10 % profit. if he mixes 4 kg of 1st variety what is the diffrence between amount of 2 nd and 3 rd variety.help me out without taking X ..... thanks in advance.
25179
@dushyantagarwal said:
Bhai only distinct numbers are allowed so 11, 88 shouldn't be there
behen hun.
and i posted the correct solution after some pages. :)
25180
@albiesriram said:
Let n be a positive integer such that ,is an integer.Which of the following statements is not true:a) n is divisible by 2b) n is divisible by 3c) n is divisible by 7d) 6 divides n.e) n> 84
1/2+1/3+1/7 = (21+14+6)/42 = 41/42

41/42 + 1/n = integer

clearly n = 42

41/42 + 1/42 = 42/42 = 1

hence e is not true...
25181
@Pradeep_Rss said:
Mr x has 3 varieties of rice ie 15 rs ,18 rs ,22 rs per kg.he mixes it and sells at 22 rs a kg and gains 10 % profit. if he mixes 4 kg of 1st variety what is the diffrence between amount of 2 nd and 3 rd variety.help me out without taking X ..... thanks in advance.
amount in the sense??
there are finitely many solutions if u consider the quantity of rice.
25182

i mean difference between no of kgs of rice of the remaining two.

25183
Consider this,
consider he has 990 kg of new mix, total worth is 990*22= 21780 which has 10 % profit in it.. So C.P = 19800 here deduct the first quantity contribution,
19800- 60 = 19740
now, if x quantities of 2nd variety and y quantities of 3rd variety are mixed, then.
x18+22y = 19740
here , x= 20, y = 175 is one of the solutions.
There are finitely many such solutions possible.
Number of kgs of new variety formed is badly needed . even then it will be finitely many solution possible.. Otherwise, i would have misunderstood the question.
25184
@albiesriram said:
Let n be a positive integer such that ,is an integer.Which of the following statements is not true:a) n is divisible by 2b) n is divisible by 3c) n is divisible by 7d) 6 divides n.e) n> 84
e ...
25185
25186
@ChirpiBird said:
behen hun. and i posted the correct solution after some pages.
Maafi behen

I didn't noticed the solution you have posted later.

25187
@albiesriram said:
33 ?