Is the number of clients of Company X greater than the number of

Question

Is the number of clients of Company X greater than the number of clients of Company Y?

(1) Of the clients of Company X, 25 percent are also clients of Company Y.
(2) Of the clients of Company Y, 37.5 percent are also clients of Company X.

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AdarshSambare · Answer

Let total clients of X = 100x and of Y = 100y.

From (1): 25% of X are also Y’s clients → common = 25x.
From (2): 37.5% of Y are also X’s clients → common = 37.5y.
Since both describe the same common clients, 25x = 37.5y ⇒ x/y = 1.5 ⇒ X > Y.
Hence, each statement alone is insufficient, but together sufficient to answer Yes.

Answer: C

paragw · Answer

Let's solve this question easily using venn diagram:
1. Of the clients of Company X, 25 percent are also clients of Company Y, that means only(X) : Both(X & Y) = 4 : 1

Here we don't have only(Y), therefore Not Sufficient

2. Of the clients of Company Y, 37.5 percent are also clients of Company X, that means only(Y) : Both(X & Y) = 8 : 3

Here we don't have only(X), therefore Not Sufficient

1 & 2

Here we can say that the number of clients of Company X greater than the number of clients of Company Y.
Hence, C

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Dereno · Answer

We need to find : Is the number of clients of X greater than the number of clients of Y ?

Statement 1:

(1) Of the clients of Company X, 25 percent are also clients of Company Y.

25% of x is common to both Company X and Y.

Hence,  Insufficient.

Statement 2:

(2) Of the clients of Company Y, 37.5 percent are also clients of Company X.

37.5 % of y is common to both Company X and Y.

Hence,  Insufficient.

Combining Statements 1 and 2, we get

25% of X = 37.5% of Y

(X/4) = (3/8)Y

X = (3/2) Y

X : Y = 3:2

Hence,  Sufficient.

Option C

Souradeep17 · Answer

we need to know if X's client more than Y
Let x have 100x and y have 100y clients

Now option 1:
common clients between x and Y is 25x Not sufficient

Option 2:
common clients between y and x 37.5y

now both together 
25x=37.5y
x/y>1 so x>y hence sufficient . So option C

Reon · Answer

Is the number of clients of Company X greater than the number of clients of Company Y?

(1) Of the clients of Company X, 25 percent are also clients of Company Y.
25% are common in both. C=0.25X 
Insufficient

(2) Of the clients of Company Y, 37.5 percent are also clients of Company X.
36.5% are common in both. C=0.375Y 
Insufficient

(1)&(2) 
0.25x=0.375y
x= (0.375/0.25)y 
x= 1.5y 
Thus, x>y 
Sufficient

C

Is the number of clients of Company X greater than the number of

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GMAT Data Sufficiency (DS) Questions

Is the number of clients of Company X greater than the number of

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