official quant thread for cat08

[masoom]

one from moi side :

The total number of students in 3 different sections are
"AA" "BB" and "cc" respectively. The total number of students are
'DD0'. Assume all that A,B,C are distinct natural numbers and
D is a non-zero digit. All the mentioned numbers are in same base
and base is not greater than 9...

1) How many distinct values of (A,B,C) are possible

a) 10 b) 12 c) 14 d) 8 e) 6

2) what is the max value of (A+B+C)

1) 12 2) 14 3) 16 d) 18 e) NOT

[dare2]

Originally Posted by prakharc

Was going to try.....but thought of asking this first....data is sufficient naa??very little info is given

yes dude.. sufficient data..

[HYgoldking]

Originally Posted by hi.shivani

I was talking about the problem of this kind.It takes me long to solve them,please someone help me out with a lucid way to do it in short time.

Two persons A & B are running simultaneously from the same point around a circular track, at speeds which are such that, if traveling in opposite directions, the faster person would meet the slower person twice as many times as he would meet the slower person, had they been traveling in the same direction. If the length of the track is 300 m and if they r actually traveling in opposite directions, find the distance travelled by the time they meet for the 16th time.
3000 m
2800 m
3100 m
3600 m
4500 m

2 (300/(a+b)) = (300 / (a-b))

a:b = 3:1

16 times means 16 * 300 = 4800 m

So distance travelled by A and B is 3600,1200 (3:1)

[prakharc]

Originally Posted by dare2

Two ladders are placed cross-wise in an alley to form a lopsided X-shape. The walls of the alley are not quite vertical, but are parallel to each other. The ground is flat and horizontal. The bottom of each ladder is placed against the opposite wall. The top of the longer ladder touches the alley wall 5 feet vertically higher than the top of the shorter ladder touches the opposite wall, which in turn is 4 feet vertically higher than the intersection of the two ladders. How high vertically above the ground is that intersection?
no takers??

Ans) 6 feet ???

Is it right??

[HYgoldking]

Originally Posted by masoom

one from moi side :

The total number of students in 3 different sections are
"AA" "BB" and "cc" respectively. The total number of students are
'DD0'. Assume all that A,B,C are distinct natural numbers and
D is a non-zero digit. All the mentioned numbers are in same base
and base is not greater than 9...

1) How many distinct values of (A,B,C) are possible

a) 10 b) 12 c) 14 d) 8 e) 6

2) what is the max value of (A+B+C)

1) 12 2) 14 3) 16 d) 18 e) NOT

Base 6: (1,2,3) (3,4,5)
Base 7: (1,2,4) (3,5,6)
Base 8: (3,6,7) (4,5,7) (1,3,4) (1,2,5)
Base 9: (2,3,4) 1,3,5) (1,2,6) (5,6,7) (4,6, (3,7,

[1] c) 14
[2] d) 18

[prakharc]

Originally Posted by dare2

Two ladders are placed cross-wise in an alley to form a lopsided X-shape. The walls of the alley are not quite vertical, but are parallel to each other. The ground is flat and horizontal. The bottom of each ladder is placed against the opposite wall. The top of the longer ladder touches the alley wall 5 feet vertically higher than the top of the shorter ladder touches the opposite wall, which in turn is 4 feet vertically higher than the intersection of the two ladders. How high vertically above the ground is that intersection?
no takers??
yes dude.. sufficient data..

BC is ground.....CD is one wall....AB is other wall.....where AC is the shorter ladder...and BD is the longer ladder... AB||CB though not perpendicular to BC..Point of intersection of two ladders is E

AB= (4+a)/sin x......CD= (9+a)/sinx
where a is the ht of point of intersection from ground

ABE~ CDE
BE/ED=AB/CD=4+a/9+a ---- (i)

And DB/DE= (9+a)/9=>BE/ED= a/9---(ii)

Equating (i) and (ii)
a/9= (4+a)/(9+a) => a= 6

[bsashanka]

Originally Posted by masoom

one from moi side :

The total number of students in 3 different sections are
"AA" "BB" and "cc" respectively. The total number of students are
'DD0'. Assume all that A,B,C are distinct natural numbers and
D is a non-zero digit. All the mentioned numbers are in same base
and base is not greater than 9...

2) what is the max value of (A+B+C)

1) 12 2) 14 3) 16 d) 18 e) NOT

A+B+C should be a multiple of dec 8. As mentioned that the base of the number cannot be greater than 9. Mentioned that AA+BB+CC=DD0.
SO we should have A+B+C to be dec 8 or dec 16 or dec 24. Taking base into consideration the highest value for A+B+C should be 16.
Am I right?

[HYgoldking]

Originally Posted by bsashanka

A+B+C should be a multiple of dec 8. As mentioned that the base of the number cannot be greater than 9. Mentioned that AA+BB+CC=DD0.
SO we should have A+B+C to be dec 8 or dec 16 or dec 24. Taking base into consideration the highest value for A+B+C should be 16.
Am I right?

Base of the number cannot be greater than 9. So base 9 is allowed.

So Multiple of 9 is also allowed ??

[shivam_01]

Originally Posted by masoom (official quant thread for cat08)
one from moi side :

The total number of students in 3 different sections are
"AA" "BB" and "cc" respectively. The total number of students are
'DD0'. Assume all that A,B,C are distinct natural numbers and
D is a non-zero digit. All the mentioned numbers are in same base
and base is not greater than 9...

1) How many distinct values of (A,B,C) are possible

a) 10 b) 12 c) 14 d) 8 e) 6

2) what is the max value of (A+B+C)

1) 12 2) 14 3) 16 d) 18 e) NOT

very gud question masoom

my take:

1) 14 Option 3
2) 18 Option 4

[bsashanka]

Originally Posted by HYgoldking

Base of the number cannot be greater than 9. So base 9 is allowed.

So Multiple of 9 is also allowed ??

Thanks dude... Completely fumbled with the digits and the base...