official quant thread for cat08

[implex]

Originally Posted by linksuresh

@implex -

could you chk the ans/solutions provided to the following questions on Quant Problem set 3 -

prob nos -

169 - feel ans shd be 7
178 - feel ans shd be 8

correct problem 183-184 to -

expr shd read - [(a/b) + (14b/9a)]
else ans shd be -
183 - option e) many vals
184 - e) infinity

193 - guess ans shd be option e) ull have 2 choices - 15*2 or 5*6.. so...

195 - feel ans shd be option b)
since its given a,b,c are Natural nos.. we can find a set satisfying.. and get sum (a+b+c). no need to know whether they're in AP or not...

198 - feel ans shd be e)
since its not mentioned if p & q are ints or real...

199 - feel ans shd be e)
since its not mentioned if sisters' ages are ints or reals...

didn solve all.. but had doubts in the above...
u may post the q and wait for other s to solve 'em.. else look up em urself

thanks bro ! enjoy

I am sad you have solved all of them wrong ! The solutions are all correct .
Try to do again . I have made sure errors are kept at bare minimum. I got it proof read by a person much much better than me .

[manasa3687]

the answer is 0 i.e., option 1

[implex]

New problem!!
Find the number of pairs of integers (a,b) such that a!+b!=a^b

[selebratinglife]

Originally Posted by implex

New problem!!
Find the number of pairs of integers (a,b) such that a!+b!=a^b

Only a=b=2 satisfies..Did it by trial&error..Is there any particular approach for this problem?

[implex]

Originally Posted by selebratinglife

Only a=b=2 satisfies..Did it by trial&error..Is there any particular approach for this problem?

(2,3) also satisfies. I am lookign for a solid approach ! something rigorous !

[selebratinglife]

Problem from today's AIMCAT:
Ganesh and sarath walk up an escalator which moves up with a constant speed. For every two steps that ganesh takes, sarath takes one step. Ganesh gets to the top of the escalator after having taken 30 steps, while sarath takes only 20 steps to reach the top.If the escalator were turned off, how many steps should each o them take to reach the top?

[implex]

Originally Posted by selebratinglife

Problem from today's AIMCAT:
Ganesh and sarath walk up an escalator which moves up with a constant speed. For every two steps that ganesh takes, sarath takes one step. Ganesh gets to the top of the escalator after having taken 30 steps, while sarath takes only 20 steps to reach the top.If the escalator were turned off, how many steps should each o them take to reach the top?

Let total no of steps be A. Let them both start together
30 + x=15+x+5+x/3
=>x/3=10
=>x=30

total steps A=30+30=60!

[selebratinglife]

Originally Posted by implex

(2,3) also satisfies. I am looking for a solid approach ! something rigorous !

Completely exhausted, will definitely try later tonight(The exam at my center started at 11:30..Made us wait for 1:30 minutes )

[selebratinglife]

Originally Posted by implex

Let total no of steps be A. Let them both start together
30 + x=15+x+5+x/3
=>x/3=10
=>x=30

total steps A=30+30=60!

Perfect!!!!

[implex]

Originally Posted by selebratinglife

Perfect!!!!

This problem is simple, but it deceives as if what has been asked. I read the problem thrice and then laughed and solved in next 30 sec ! Total 3 mins ! a little extra