GMAT Data Sufficiency Discussions

You are right Bhavin.. Thanks..

Nipun,

One small error ...k not equal to 1 implies fraction exists for all real nos of x ..
sign of inequality does not change ...

In a single row of yellow, green and red colored tiles, every red tile is preceded immediately by a yellow tile and every yellow tile is preceded immediately by a green tile. What color is the 24th tile in the row?

(1) The 18th tile in the row is not yellow.

(2) The 19th tile in the row is not green.

In a single row of yellow, green and red colored tiles, every red tile is preceded immediately by a yellow tile and every yellow tile is preceded immediately by a green tile. What color is the 24th tile in the row?

(1) The 18th tile in the row is not yellow.

(2) The 19th tile in the row is not green.


there is no condition on the green tiles ,so they can be arranged in a continous row......
so we will not be able to say what will be 24th even after taking both
In a single row of yellow, green and red colored tiles, every red tile is preceded immediately by a yellow tile and every yellow tile is preceded immediately by a green tile. What color is the 24th tile in the row?

(1) The 18th tile in the row is not yellow.

(2) The 19th tile in the row is not green.


For a definite series, We need to fix a particular color for any numbered tile ..

Series : G-Y-R
Individually, statements not suff..
Combined, 18 th is neither yellow nor red, hence green ..
Suff..
Ans C
In a single row of yellow, green and red colored tiles, every red tile is preceded immediately by a yellow tile and every yellow tile is preceded immediately by a green tile. What color is the 24th tile in the row?

(1) The 18th tile in the row is not yellow.

(2) The 19th tile in the row is not green.


The above problem follows the series : GYR.Only fact we dunt have which color is starting the series.There can be 3 cases of positions as shown below.We need to find which case the above problem belongs to:

i)G -1 Y- 2 R-3
ii)Y-1 R-2 G-3
iii)R-1 G-2 Y-3

Statement 1:
=========
The 18th tile in the row is not yellow. So it can be Red or Green ( case i or case ii).Nt suff

Statement 2:
==========
The 19th tile in the row is not green.So it can be yellow or red (case ii or case iii).Nt suff

Combining both the statements.

From the first statement:color can be red or green.Assume color as red.If 18th tile is red then 19th tile has to be green which contradicts statement 2.So 18th tile has to be green which in turn makes 19th tile as yellow.

So the above series belongs to case ii.

I wud go with option C
The above problem follows the series : GYR.Only fact we dunt have which color is starting the series.There can be 3 cases of positions as shown below.We need to find which case the above problem belongs to:

i)G -1 Y- 2 R-3
ii)Y-1 R-2 G-3
iii)R-1 G-2 Y-3

Statement 1:
=========
The 18th tile in the row is not yellow. So it can be Red or Green ( case i or case ii).Nt suff

Statement 2:
==========
The 19th tile in the row is not green.So it can be yellow or red (case ii or case iii).Nt suff

Combining both the statements.

From the first statement:color can be red or green.Assume color as red.If 18th tile is red then 19th tile has to be green which contradicts statement 2.So 18th tile has to be green which in turn makes 19th tile as yellow.

So the above series belongs to case ii.

I wud go with option C


oh yes , deepak !
You are correct ...i misinterpreted the sequence as YGR instead of GYR ..
Have edited my post ...sorry for inconvenience earlier ...

Ans C
From the info provided it is clear that the order is G - Y - R. However, we do not know which colour comes before G and which one comes after R.

Then, we could have:
GGYRR....
GYRRR....

So, we will not be able to solve the questions with the info provided..... or atleast i think so.


Nada, its a repeating sequence ...Its G-Y-R-G-Y-R ....
Coz only then before every red is yellow and before every yellow is green ...
Yes bhavin422... true that GYRRRR is not possible....because before every red there should be yellow and before every yellow there should be green

However, we don't have any info on GREEN.... so GGGGYRGGGGGYR is possible right?
What is the OA?

Nada, its a repeating sequence ...Its G-Y-R-G-Y-R ....
Coz only then before every red is yellow and before every yellow is green ...

there is no condition on the green tiles ,so they can be arranged in a continous row......
so we will not be able to say what will be 24th even after taking both

In a single row of yellow, green and red colored tiles, every red tile is preceded immediately by a yellow tile and every yellow tile is preceded immediately by a green tile. What color is the 24th tile in the row?

(1) The 18th tile in the row is not yellow.

(2) The 19th tile in the row is not green.


@bhavin, @deepak... I'd made the same mistake..
@Anchun and @Nada -> u guys got it right...

the OA is indeed E because there is no condition for green...

The ques is from a Man Test..
oh yes , deepak !
You are correct ...i misinterpreted the sequence as YGR instead of GYR ..
Have edited my post ...sorry for inconvenience earlier ...

Ans C


sorry Bhavin Bhai.I confused you πŸ˜‰

Try this

Is positive Integer x divisible by 7?

a.) Sum of prime factors of x is 7
b.) Sum of distinct prime factors of x is 12

Try this

Is positive Integer x divisible by 7?

a.) Sum of prime factors of x is 7
b.) Sum of distinct prime factors of x is 12


IMO B, coz 12=5+7.. and if 7 is a factor of x, then x would be divisible by 7..

A jar contains w white marbles, r red marbles and b black marbles. If one marble is chosen at random, is the probability that the marble chosen will be red greater than the probability that the marble chosen will be white?

1. r/(b+w) > w/(b+r)

2. (b-w) > r

Pls explain....

Store S sold a total of 90 copies of a certain book during the 7 days of last week, and it sold different number of copies on any 2 of the days. If for the seven days, Store S sold the greatest number of copies on Sat and the second greatest number of copies of Friday, did Store S sell more than 11 copies on Friday?

1. Last week it sold 8 copies of the book on Thursday

2. Last week it sold 38 copies of the book on Saturday

Pls provide explanation.

A jar contains w white marbles, r red marbles and b black marbles. If one marble is chosen at random, is the probability that the marble chosen will be red greater than the probability that the marble chosen will be white?

1. r/(b+w) > w/(b+r)

2. (b-w) > r

Pls explain....


Question translates to : is r/(r+b+w) > w/(r+b+w) ?
i.e Is r>w ?

St 1 : Using componendo,
(r+b+w) / (b+w) > (r+b+w) / (b+r)
i.e (b+w)
OR w
Store S sold a total of 90 copies of a certain book during the 7 days of last week, and it sold different number of copies on any 2 of the days. If for the seven days, Store S sold the greatest number of copies on Sat and the second greatest number of copies of Friday, did Store S sell more than 11 copies on Friday?

1. Last week it sold 8 copies of the book on Thursday

2. Last week it sold 38 copies of the book on Saturday

Pls provide explanation.


Ans B ...

St 1 : Tells us nothing ...not suff ...

St 2 : If 38 on sat, hence 52 in rem 6 days ...
now, if second highest is 11, and all days have to be distinct,
even if try to max it, 11+10+9+8+7+6 = 8.5*6 = 51 only ..
Hence, with 11 or below on friday we cannot total to desired 90 ..
Hence friday has to greater than 11 ...
Suff ...

Ans B
Store S sold a total of 90 copies of a certain book during the 7 days of last week, and it sold different number of copies on any 2 of the days. If for the seven days, Store S sold the greatest number of copies on Sat and the second greatest number of copies of Friday, did Store S sell more than 11 copies on Friday?

1. Last week it sold 8 copies of the book on Thursday

2. Last week it sold 38 copies of the book on Saturday

Pls provide explanation.


Statement 1:
==========
This is insuff since it doesn't say about the no.of copies sold on saturday

Statement 2:
==========
Sat = 38.So the no.of copies on other days has to be less than 38.

We must achieve a sum of 52 from 6 diff nos.

Lets assume Friday = 11.

One possible combination

Su = 7
Sat = 38
Fri = 11
Thu = 10
Wed = 9
Tue = 7
Mon = 8

This contradicts our approach.Lets assume Fri > 11.

Su = 4
Sat = 38
Fri = 12
Thur = 11
Wed = 10
Tue = 9
Mon = 6

So I wud go with option 2
store s sold a total of 90 copies of a certain book during the 7 days of last week, and it sold different number of copies on any 2 of the days. If for the seven days, store s sold the greatest number of copies on sat and the second greatest number of copies of friday, did store s sell more than 11 copies on friday?

1. Last week it sold 8 copies of the book on thursday

2. Last week it sold 38 copies of the book on saturday

pls provide explanation.


OA is B....
A jar contains w white marbles, r red marbles and b black marbles. If one marble is chosen at random, is the probability that the marble chosen will be red greater than the probability that the marble chosen will be white?

1. r/(b+w) > w/(b+r)

2. (b-w) > r

Pls explain....


OA is A....

The numbers x and y are not integers.The value of x is closest to which integer?

1. 4 is the integer closest to x + y.

2. 1 is the integer closest to x - y

If k is a positive integer, is k the square of an integer?

1. k is divisible by 4

2. k is divisible by exactly 4 different prime numbers