Official Quant thread for CAT 2013

MBA CAT 2024
16986
@Calvin4ever said:
Like someone mentioned before, 376 ^ 2 =141376 too !!
bhai haan...ye question kal address karna bhool gya tha mein...nice observation waise, i dnt knw why din't i consider 6 (discarded it thinking that the tens digit wld be odd, like that wld matter here lol)....but i actually got lucky with the question....
it said (abc)^2 = ijkabc
ijk means different digits....376^2 mein i=k....so invalid ho jaata...

@naveenkrs bhai aapne raise kara tha na...
16987
@Logrhythm said:
37c2 - (13c2 + 11c2) ??

Close. Just think little more.....
16988

Anjali and Bhagwat fired 45 shots each.Total of 66 bullets hit the target and the remaining bullets missed it. How many times does Anjali hit the target if it is known that the number of hits per one miss shown by Anjali is twice that of Bhagwat ?


@Logrhythm
16989
@Calvin4ever said:
Anjali and Bhagwat fired 45 shots each.Total of 66 bullets hit the target and the remaining bullets missed it. How many times does Anjali hit the target if it is known that the number of hits per one miss shown by Anjali is twice that of Bhagwat ?@Logrhythm
36 😃
16990
@Logrhythm said:
bhai haan...ye question kal address karna bhool gya tha mein...nice observation waise, i dnt knw why din't i consider 6 (discarded it thinking that the tens digit wld be odd, like that wld matter here lol)....but i actually got lucky with the question....it said (abc)^2 = ijkabcijk means different digits....376^2 mein i=k....so invalid ho jaata...@naveenkrs bhai aapne raise kara tha na...

nowhere in the question it was written that i=k is invalid
16991
@bs0409 said:
In a plane There are 37 straight Lines, Of which 13 pass through the point A and 11 pass through the point B . Besides , No three lines pass through both points A and B, No two are parallel then the number of intersection points the lines have is equal to??
37c2 - (13c2 + 11c2) + 2 ??
16992
@Calvin4ever said:
Anjali and Bhagwat fired 45 shots each.Total of 66 bullets hit the target and the remaining bullets missed it. How many times does Anjali hit the target if it is known that the number of hits per one miss shown by Anjali is twice that of Bhagwat ?@Logrhythm
36?
16993
@bs0409 said:
I dont know the logic.Got it from Varun Sir.....(i.e. @varun.tyagi )Give all your respects to him...In the xy-plane, if points (5, 2), (2, 5), and (-2, -5) are the vertex of a parallelogram, how many such parallelograms are possible?(A) 1(B) 2(C) 3(D) 4(E) 6
use the property that midpoint of the line joining opposite vertex should coincide, take the vertex pairwise only 3 pairs are possible, so 3 should be the answer
16994
@ravi.theja said:
a/45 = 2* b / 45 ; a+b = 90-66 = 24 ==> a=2b ==> 3b=24 => b=8 ==> a= 16.anjali hit 45-16 = 29 shots??
Sorry, Its not the correct answer.
16995

A palindromic number with even number of digits in base 16 will always be divisible by?
(a)2
(b)17
(c)15
(d)7

16996
@Calvin4ever said:
Anjali and Bhagwat fired 45 shots each.Total of 66 bullets hit the target and the remaining bullets missed it. How many times does Anjali hit the target if it is known that the number of hits per one miss shown by Anjali is twice that of Bhagwat ?@Logrhythm

Hits by Anjali=a
Misses by Anjali=b
Hits by Bhagwat=c
Misses by Bhagwat=d

a+b=45
c+d=45
a+c=66
b+d=24


a/b=2*(c/d)

Solve now...

a=36

16997
@Calvin4ever said:
Sorry, Its not the correct answer.
what is oa?
16998
@TootaHuaDil said:
A palindromic number with even number of digits in base 16 will always be divisible by?(a)2(b)17(c)15(d)7
17??
16999
@Pratishruti said:
what is oa?
It is 36 . Solution pls .
@bs0409
17000
@TootaHuaDil said:
A palindromic number with even number of digits in base 16 will always be divisible by?(a)2(b)17(c)15(d)7

Is it 17???
17001
@Calvin4ever said:
17??
@bs0409 said:
Is it 17???
yes 17
17002
z=1^2-2^2 +3^2.............-2998^2+2999^2

a) 2999000
b)5998000
c)4498500
d)2249250
17003
@Calvin4ever said:
It is 36 . Solution pls .@bs0409
let anjali hit a no of bullets and missed m1 bullets
and bhagwat hit b no of bullets and missed m2
now a+m1=45
b+m2=45
a+b=66
=>m1=45-a
m2=a-21
a/m1=2b/m2
substitute the values of m1,m2,b
you will get a=36 and 215
but a,b
so a=36
17004
@bs0409 said:
z=1^2-2^2 +3^2.............-2998^2+2999^2a) 2999000b)5998000c)4498500 d)2249250
4498500?
17005
@bs0409 said:
z=1^2-2^2 +3^2.............-2998^2+2999^2a) 2999000b)5998000c)4498500 d)2249250
{(1-2)(1+2) + (3-4)(3+4) + ... + (2997-2998)(2997+2998)} + 2999^2 = {-3 - 7 - 11 - ... - 5995} + 2999^2 = -{3+7+11+...+5995} + 2999^2 = 2999^2 - {(1499/2)*(6 + 1498*4)} = 4498500...