Data Sufficiency

[Varun Gupta]

Data Sufficiency

Practice Test No: 01

1. How many ewes (female sheep) in a flock of 50 sheep are black?

There are 10 rams (male sheep) in the flock.
Forty percent of the animals are black.

A.
B.
C.
D.
E.

2. Is the length of a side of equilateral triangle E less than the
length of a side of square F?

The perimeter of E and the perimeter of F are equal.
The ratio of the height of triangle E to the diagonal of square F is 2√3 : 3√2.

A.
B.
C.
D.
E.

3. If a and b are both positive, what percent of b is a?

a = 3/11
b/a = 20

A.
B.
C.
D.
E.

4. A wheel of radius 2 meters is turning at a constant speed. How many
revolutions does it make in time T?

T = 20 minutes.
The speed at which a point on the circumference of the wheel is moving
is 3 meters per minute.

A.
B.
C.
D.
E.

5. Are the integers x, y and z consecutive?

The arithmetic mean (average) of x, y and z is y.
y-x = z-y

A.
B.
C.
D.
E.

6. Is x > 0 ?

-2x < 0
x³ > 0

A.
B.
C.
D.
E.

7. A certain straight corridor has four doors, A, B, C and D (in that
order) leading off from the same side. How far apart are doors B and
C?

The distance between doors B and D is 10 meters.
The distance between A and C is 12 meters.

A.
B.
C.
D.
E.

8. Given that x and y are real numbers, what is the value of x + y ?

(x² – y²) / (x-y) = 7
(x + y)² = 49

A.
B.
C.
D.
E.

9. Two socks are to be picked at random from a drawer containing only
black and white socks. What is the probability that both are white?

The probability of the first sock being black is 1/3.
There are 24 white socks in the drawer.

A.
B.
C.
D.
E.

10. A bucket was placed under a dripping tap which was dripping at a
uniform rate. At what time was the bucket full?

The bucket was put in place at 2pm.
The bucket was half full at 6pm and three-quarters full at 8pm.

A.
B.
C.
D.
E.

--
With Regards
Nagendra Pratap

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[Varun Gupta]

Additional

Options

A - Statement 1 alone is sufficient .
B - Statement 2 alone is sufficient .
C - Statement 1 & 2 together are sufficient .
D - Statement 1 & 2 together are also not sufficient .
E - Either of Statement 1 or 2 is sufficient .

[divya sharma]

On Mon, May 23, 2011 at 7:11 PM, Varun Gupta <gupta....@gmail.com> wrote:

Data Sufficiency

Practice Test No: 01

1. How many ewes (female sheep) in a flock of 50 sheep are black?

There are 10 rams (male sheep) in the flock.
Forty percent of the animals are black.

Ans. Cannot  be solved even after using both statements

A.
B.
C.
D.
E.

2. Is the length of a side of equilateral triangle E less than the
length of a side of square F?

The perimeter of E and the perimeter of F are equal.
The ratio of the height of triangle E to the diagonal of square F is 2√3 : 3√2.

Ans. Can be determined by using both statements separately 

A.
B.
C.
D.
E.

3. If a and b are both positive, what percent of b is a?

a = 3/11
b/a = 20

Ans. Can be determined by using second statement alone. 

A.
B.
C.
D.
E.

4. A wheel of radius 2 meters is turning at a constant speed. How many
revolutions does it make in time T?

T = 20 minutes.
The speed at which a point on the circumference of the wheel is moving
is 3 meters per minute.

Ans. Can be determined by using both statements together 

*** Please confirm this answer, because, from statement 2 we get (4pi/3)*T as the no. of revolutions. But, I am not sure if an answer in terms of T is acceptable. If it is, then we can answer using second statement alone.

A.
B.
C.
D.
E.

5. Are the integers x, y and z consecutive?

The arithmetic mean (average) of x, y and z is y.
y-x = z-y

Ans. Cannot be determined even after using both statements. 

A.
B.
C.
D.
E.

6. Is x > 0 ?

-2x < 0
x³ > 0

Ans. Can be determined from both statements using them separately. 

A.
B.
C.
D.
E.

7. A certain straight corridor has four doors, A, B, C and D (in that
order) leading off from the same side. How far apart are doors B and
C?

The distance between doors B and D is 10 meters.
The distance between A and C is 12 meters. 

Ans.  Cannot be determined, even by using both statements together.

A.
B.
C.
D.
E.

8. Given that x and y are real numbers, what is the value of x + y ?

(x² – y²) / (x-y) = 7
(x + y)² = 49

Ans. Can be determined by using 2nd statement alone. 

A.
B.
C.
D.
E.

9. Two socks are to be picked at random from a drawer containing only
black and white socks. What is the probability that both are white?

The probability of the first sock being black is 1/3.
There are 24 white socks in the drawer.

Ans. Cannot be determined, even by using both statements together. 

A.
B.
C.
D.
E.

10. A bucket was placed under a dripping tap which was dripping at a
uniform rate. At what time was the bucket full?

The bucket was put in place at 2pm.
The bucket was half full at 6pm and three-quarters full at 8pm.

Ans. Can be determined by using second statement alone. 

A.
B.
C.
D.
E.

--
With Regards
Nagendra Pratap

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--
divya