Official Quant thread for CAT 2013

MBA CAT 2024
5901
@19rsb said:
Two ladies POONAM PANDEY (PP) and SHERLYN CHOPRA(SC) are counting numbers at same speed, but their counting patterns are different.=>PP counts normally starting from 1 and adding 1 to the previous number like,1,2,3,4,5....=>SC counts from 1 to 10 and then back to 1,and then counts upto 20 and then back to 1,and then counts upto 30 and then back to 1,and then so on.Also while counting she is careful that any two consecutive numbers counted by her are not the same.If both started counting at the same time,then at what number is SC, if PP is at the number 10101?1)2432)1533)2684)none of these
1) 243

1 to 10 and back to 2 => 10 + 8 = 18
1 to 20 and back to 2 => 20 + 18 = 38
1 to 30 and back to 2 => 30 + 28 = 58
.
.

a = 18
d = 20

For 10100
closest sum n/2 * (36 + 20n - 20) n/2 * (20n + 16) n * (10n + 8) n * (5n + 4) 5n^2 + 4n n = 31
sum = 31/2 * (36 + 620 - 20)
= 31/2 * (636)
= 9858

10101 - 9858 = 243
5902
@19rsb is it 268??
5903
@19rsb said:
Two ladies POONAM PANDEY (PP) and SHERLYN CHOPRA(SC) are counting numbers at same speed, but their counting patterns are different.=>PP counts normally starting from 1 and adding 1 to the previous number like,1,2,3,4,5....=>SC counts from 1 to 10 and then back to 1,and then counts upto 20 and then back to 1,and then counts upto 30 and then back to 1,and then so on.Also while counting she is careful that any two consecutive numbers counted by her are not the same.If both started counting at the same time,then at what number is SC, if PP is at the number 10101?1)2432)1533)2684)none of these
ans??? 268
5904

yaha itna sannata kyon hai bhai??

ajeeb lag raha hai..

in triangle ABC AB=7, BC=9, AC=5,angle ABC=60 degrees. angle ACB=?

35
68
30
45
NOT
5905
The remainders when F(x) is divided by (x-19) and (x-99) is 99 and 19 respectively. What is the remainder when F(x) is divided by (x-19)(x-99) ?ďťż
5906
@audiq7 said:
yaha itna sannata kyon hai bhai??ajeeb lag raha hai..in triangle ABC AB=7, BC=9, AC=5,angle ABC=60 degrees. angle ACB=?35683045NOT
NOT
5907
@grkkrg said:
The remainders when F(x) is divided by (x-19) and (x-99) is 99 and 19 respectively. What is the remainder when F(x) is divided by (x-19)(x-99) ?ďťż
its answered 2-3 pages back..its 118-x
5908
@audiq7 said:
yaha itna sannata kyon hai bhai??ajeeb lag raha hai..in triangle ABC AB=7, BC=9, AC=5,angle ABC=60 degrees. angle ACB=?35683045NOT
not??
5909
@nick_baba said:
its answered 2-3 pages back..its 118-x
how??
5910
@audiq7 said:
yaha itna sannata kyon hai bhai??ajeeb lag raha hai..in triangle ABC AB=7, BC=9, AC=5,angle ABC=60 degrees. angle ACB=?35683045NOT
yar NOT a rah hai...

5911
@mailtoankit said:
how??
see reply #5959...
5912
@audiq7 said:
yaha itna sannata kyon hai bhai??ajeeb lag raha hai..in triangle ABC AB=7, BC=9, AC=5,angle ABC=60 degrees. angle ACB=?35683045NOT
not..ans 63.1
5913
@Zedai
@nick_baba
@mailtoankit ... because triangle is not possible.


@Ashmukh ans kaise nikala bhai??
5914
@Zedai said:
NOT
bhai tmhe triangle bhi justified laga???..agar A se perpendicular drop karo BC pe to kuch alag hi cheez ho rahi hai..cosine value 1 se badi..

5915
@grkkrg said:
The remainders when F(x) is divided by (x-19) and (x-99) is 99 and 19 respectively. What is the remainder when F(x) is divided by (x-19)(x-99) ?ďťż
F(x)=k(x-19)(x-99)+ax+b
F(19)=19a+b=99
F(99)=99a+b=19

=>a=-a, b=180

so remainder = -x+118
5916
@audiq7 said:
yaha itna sannata kyon hai bhai??ajeeb lag raha hai..in triangle ABC AB=7, BC=9, AC=5,angle ABC=60 degrees. angle ACB=?35683045NOT
I tried applying the cosine rule in the triangle and the value of angle ABC does not match..can you please check the question again??
5917
@audiq7 said:
yaha itna sannata kyon hai bhai??ajeeb lag raha hai..in triangle ABC AB=7, BC=9, AC=5,angle ABC=60 degrees. angle ACB=?35683045NOT
y u NOTy, sine rule lagaya to >1
5918
@audiq7 said:
@Zedai@nick_baba@mailtoankit... because triangle is not possible.@Ashmukh ans kaise nikala bhai??
dost mujhe to triangle bhi ajjeb sa lag rah hai..kuch gadbad hai..its not possible
5919
@nick_baba wahi to... angle opposite to smallest side is 60. so othe two angles will be greater than 60 each which is not possible.

5920
@audiq7 said:
@nick_baba wahi to... angle opposite to smallest side is 60. so othe two angles will be greater than 60 each which is not possible.
yep...to fir done..Ques wrong hai..