Official Quant thread for CAT 2013

Find the remainder of the following expression:

[2(8!)-21(6!)] / [14(7!)+14(13!)]

a. 1 b. 7! c. 8! d. 9!


@viewpt said:
Q: 6^99+ 8^99 div by 49, R???
getting 14 with the use of euler
@goldenbullet said:
Find the remainder of the following expression:[2(8!)-21(6!)] / [14(7!)+14(13!)]a. 1 b. 7! c. 8! d. 9!
7! ? off to lunch
When an article is sold at 20% discount, SP is Rs.24. What will be the SP when the SP when the discount is 30%?
a. 24 b. 22.5 c. 21 d. 20
@goldenbullet said:
Find the remainder of the following expression:[2(8!)-21(6!)] / [14(7!)+14(13!)]a. 1 b. 7! c. 8! d. 9!
plzzzzz solve
@Marchex said:
When an article is sold at 20% discount, SP is Rs.24. What will be the SP when the SP when the discount is 30%?a. 24 b. 22.5 c. 21 d. 20
c. 21

Solve this
Time and work


@viewpt said:
7! ?
how did you solve it genius
@viewpt said:
Q: 6^99+ 8^99 div by 49, R???
14.. i applied euler's first and then solved by putting 6=7-1 and 8=7+1..

@goldenbullet

[2(8!)-21(6!)] = 16*7! - 3*7! = 13*7! --> 1

[14(7!)+14(13!)] = 7! + 13(7!) + 14(12)(11)(10)(9)(8)(13)(7!) --> 2

I guess 2 is dividend and 1 is divisor ..

In that case , second and third term in 2 is perfectly divisible by 1

so 7! remains :mg:

@Marchex said:
Solve this Time and work
Is it option (4) ?
@ankittripathi yes
can you please explain ???
@viewpt said:
Q: 6^99+ 8^99 div by 49, R???
is it 2?
@heylady said:
is it 2?
14
@goldenbullet said:
how did you solve it genius
jus in the same way naga sir has solved above..

@naga25french __/\__
@Marchex said:
When an article is sold at 20% discount, SP is Rs.24. What will be the SP when the SP when the discount is 30%?a. 24 b. 22.5 c. 21 d. 20
its 21

Find the remainder when 55^104^297 divided by 17 ??

See, here the time taken by the group to complete the work is M hours.
so, the work done in 1 hour is 1/M.

Now, the original group works for 8 hours. So, the work done in this 8 hours is 8 * 1/M = 8/M.

After, 8 hours the no. of person in the group is reduced to half of the original strength. This group would require 2M hours to complete the job. So, the work done by this group in 1 hour is 1/2M.
This group also works for 8 hours. the work done by this group is 8 * 1/2M = 8/2M

Similarly, we can continue and the final equation wiil be

8/M + 8/2M + 8/4M + 8/8M + 8/16M = 1

Solving it, we will get

M = 31/2

@Marchex said:
Find the remainder when 55^104^297 divided by 17 ??
1 ??
Q:find R if 123456789101112..........484950 is div 16 ???