Official Quant thread for CAT 2013

Amirchand is selling some articles. Amirchand is offering a discount of 33.33% if one pays by credit card. Amirchand has marked on the article in such a way that after giving a discount, he still manages to get a profit of 25%. Garibchand uses false weighing balance and deceives Amirchand by 20% and he also pays the amount by credit card. If Garibchand gives the same article to another customer at 40% discount on marked price of Amirchand and Garibchand has a profit of Rs 20, then what is the cost price of the article in rupees? (1) 160 (2) 200 (3) 240 (4) 300 (5) none of these
@anytomdickandhary said:
Here you go.........SUPERB PROBLEM!!(I have explained in detail hence the solution looks long)I have tried to put below the normal multiplication process (the way we multiply two 3 digit numbers)..........................A.................. B.................A..........................2...................3.................1_______________________________________..........................A.................. ATDH.


Sirjeee Book likho aap !! ___/\___

The radius of the circle with centre O is under root 50cm. A and C are two points on the circle and B is a point inside the circle. the length of AB is 6cm and BC is 2cm. The angle ABC is a right angle. Find the square of the distance OB.

can someone please solve this

a man bought a no. of horses for rs 72000.Four of them died and he sold the rest at rs 1400 more than what he paid for them.If he made a profit of rs 8000 on the whole transaction find the cp of each horse

Question :

What is the greatest possibility rate at which a man can walk 51 km and 85 km in an exact number of minutes ?
a) 11 m/min
b) 13 m/min
c) 17 m/min
d) None of these

Question is from Arun sharma
@ananyboss said:
Question :What is the greatest possibility rate at which a man can walk 51 km and 85 km in an exact number of minutes ?a) 11 m/min b) 13 m/minc) 17 m/mind) None of theseQuestion is from Arun sharma
HCF ( 51, 85 ) = 17
@ravi.theja said:
HCF ( 51, 85 ) = 17
Hi, thanks for reply
My doubt is --- the question said exact minutes !!
so if u say 17.
for 51 it will take 3 minutes
for 5 it will take 5 mins ??

both are different ?
what is exact in this question !??

@ASR2013 said:
can someone please solve thisa man bought a no. of horses for rs 72000.Four of them died and he sold the rest at rs 1400 more than what he paid for them.If he made a profit of rs 8000 on the whole transaction find the cp of each horse
3600??
this can be done by easy observation..
80000 = 5000*16
72000 = 3600*20
hence, 3600 was the cp...
@ananyboss said:
Hi, thanks for reply My doubt is --- the question said exact minutes !! so if u say 17.for 51 it will take 3 minutesfor 5 it will take 5 mins ??both are different ?what is exact in this question !??
see its 17 minutes...which means if u walk 3km /minute for a 51km distance and 5km/minute for 85 km distance..both will take you 17 minutes..dats the concept of HCF
@bs0409 said:
Amirchand is selling some articles. Amirchand is offering a discount of 33.33% if one pays by credit card. Amirchand has marked on the article in such a way that after giving a discount, he still manages to get a profit of 25%. Garibchand uses false weighing balance and deceives Amirchand by 20% and he also pays the amount by credit card. If Garibchand gives the same article to another customer at 40% discount on marked price of Amirchand and Garibchand has a profit of Rs 20, then what is the cost price of the article in rupees? (1) 160 (2) 200 (3) 240 (4) 300 (5) none of these
Is it 200?
@sagarcat No. 26
@bs0409

Shld be 160..

Let the original CP of the article sold by Amirchand be x..

Then, SP= 5/4*x[Since, a Profit of 25% is involved]

Now, Discount offered = 1/3*MP

Thus, 2/3*MP = 5/4*x, or, MP of the same article = 15/8*x ..

Now, CP for Garibchand = 15/8*x*4/5*2/3 [Since, he deceived by 20% n further got a discount of Credit Card Pay]=> x..

SP of Garibchand= 15/8*x*3/5= 9/8*x [Since a Discount of 40% was given on the MP of Amirchand]

Thus, SP-CP =20, for Garibchand..

=> 9/8*x - x = 20, or, x = 160..
Ashok went on a tour. He visited a total of 8 cities. In each city he spent र2 less than half the amount he had with him. He spent र100 in the last city he visited. Find the amount he had initially (in र).

A sum of money 2310 is due to be repaid at the end of two yrs. If it has to be repiad in two equal annual instalments (the instalments being paid at the beginning of the yr) at 10% p.a. compounded annually. Find the value of each instalment?


1210
1000
1100
1331

@gupanki2 said:
Ashok went on a tour. He visited a total of 8 cities. In each city he spent र2 less than half the amount he had with him. He spent र100 in the last city he visited. Find the amount he had initially (in र).
26620??
100,204,412,828,1660,3324,6652,13308,26620

or

((((((((((((((((100+2)*2)+2)*2)+2)*2)+2)*2)+2)*2)+2)*2)+2)*2)+2)*2) = 26620

i don't knw if what i did is wht the question required #toosleepy
@Logrhythm I highly appreciate you give it a shot,,,, but thats not the correct answer :(..... This q's driving me mad...unable to get the logic yaaar :(

Find the remainder when n^7-n is divided by 42

@amresh_maverick said:
A sum of money 2310 is due to be repaid at the end of two yrs. If it has to be repiad in two equal annual instalments (the instalments being paid at the beginning of the yr) at 10% p.a. compounded annually. Find the value of each instalment?1210100011001331
1100
@TootaHuaDil said:
Find the remainder when n^7-n is divided by 42
0
@TONYMBA said:
0
detailed solution please