Official Quant thread for CAT 2013

MBA CAT 2024
30189
@hedonistajay said:
In 1952 , I was as old as the number formed by the last two digit of my birth year. When I mentioned this interesting coincidence to my grandfather ,he surprised me by saying same applied to him also.The difference in our ages is -A.50B.40C.60D.None of these
option a)
30190
@hedonistajay option a) i.e. 50 years
30191
@hedonistajay said:
In 1952 , I was as old as the number formed by the last two digit of my birth year. When I mentioned this interesting coincidence to my grandfather ,he surprised me by saying same applied to him also.The difference in our ages is -A.50B.40C.60D.None of these
A
30192
@hedonistajay said:
In 1952 , I was as old as the number formed by the last two digit of my birth year. When I mentioned this interesting coincidence to my grandfather ,he surprised me by saying same applied to him also.The difference in our ages is -A.50B.40C.60D.None of these
A.50
30193
@albiesriram :wat is the ans??is it 103???
30194

A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34.such a least possible number is:

(A) 175
(b) 75
(c) 680
(d) does not exist
30195
@j.gayu said:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34.such a least possible number is:(A) 175(b) 75(c) 680(d) does not exist
N = 5a and N = 34*b + a - 8

So,75 satisfies both of em,though the stmts were very confusing;)
30196
@j.gayu said:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34.such a least possible number is:(A) 175(b) 75(c) 680(d) does not exist
75
30197
@mani0303 :tis is hw i got the question......
30198
@j.gayu said:
@mani0303 :tis is hw i got the question......
It might be with my English interpretation then;)

One from my side:

In the triangle ABC,Angle c=30.O is the center.if AM:MB=(3)^1/2:1.find the radius of the circle given that BC=10.
30199

@j.gayu said:
@mani0303 :tis is hw i got the question......
It might be with my English interpretation then;)

One from my side:

In the triangle ABC,Angle c=30.O is the center.if AM:MB=(3)^1/2:1.find the radius of the circle given that BC=10.
30200

Plse solve I m giving this second time

ABC is an acute triangle with ∠BCA=35∘. Denote the circumcenter of ABC as O and the orthocenter of ABC as H. If AO=AH, what is the value of ∠ABC(in degrees)?

Details and assumptions

The circumcenter of a triangle is the center of a circle which passes through all three vertices of a triangle. The orthocenter of a triangle is the intersection of the 3 altitudes (perpendicular from vertices to opposite side).You may choose to read the blog post on the extended sine rule.
30201
@mani0303 said:
It might be with my English interpretation thenOne from my side:In the triangle ABC,Angle c=30.O is the center.if AM:MB=(3)^1/2:1.find the radius of the circle given that BC=10.
M kahan se aaya ?
30202
@Narci said:
M kahan se aaya ?
It should be in somewhere in the line AB:P
30203
@Narci said:
M kahan se aaya ?
It should be in somewhere in the side AB;)
30204
@mani0303 said:
It should be in somewhere in the side AB
kuch aur hi visualise karliya tha
30205
@mani0303 said:
It should be in somewhere in the side AB
kuch aur hi visualise karne lag gaya tha
30206
@mani0303 :i got the equations but the substitution is done using the option ryt??
30207
@j.gayu said:
@mani0303 :i got the equations but the substitution is done using the option ryt??
If you're refering the remainder prob,then yes...as i don't think of any otherway for this one now...

BTW,i have asked something in message,but there seems to be an issue in it now:)
30208
A woman is walking down a downward-moving escalator and steps down 10 steps to reach the bottom. Just as she reaches the bottom of the escalator, a sale commences on the floor above. She runs back up the downward moving escalator at a speed five times that which she walked down. She covers 25 steps in reaching the top. How many steps are visible on the escalator when it is switched off?