## Wednesday, February 11, 2009

### Data Sufficiency - 53

Answer: D

From statement (1): Square root of a number less than 1 is also less than 1 - sufficient

From statement (2): Reciprocal of any number less than 1 is greater than the number - sufficient

### Data Sufficiency - 52

1) y/ x > y

2) x^3 > x^2

Answer: B

From statement (1): y/x > y

=> y > xy

=> y(1-x) > 0

y>0 when x is less than 1 or y<0 when x is greater than 1 ---- hence insufficient

From statement (2): x^3 > x^2

=> x^2(x-1) > 0

=> x^2 >0 and x>1

Since x>1, 1/x can not be greater than 1 ---- hence sufficient

Hence B

## Monday, January 12, 2009

### Data Sufficiency - 51

1). If the selling price per coat had been twice as much, the store's gross profit on the 20 coats would have been 2400

2). If the store selling price per coat had been $2 more, the store's gross profit on the 20 coats would have been 440

Answer: B

Suppose the cost of each coat = x

Suppose sales price = y

=> Total cost = 20x and sales price = 20y

We are required to find the profit: 20(y-x).

From statement 1): It is given that 20(2y-x)=2400

Doesn't helps to find out 20(y-x) --- insufficient

From statement 2): It is given that 20(y+2-x) = 440,

=> 20(y-x) = 400 --- sufficient

Hence B

### Problem Solving - 56

A) 2951

B) 8125

C) 15600

D) 15302

E) 18278

Answer: E

Total ways to pick a 3 letter code = 26*26*26 = 26^3

Total ways to pick a 2 letter code = 26*26 = 26^2

Total ways to pick a 1 letter code = 26

Thus total stocks: 26^3 + 26^2 + 26 = 26(26^2 + 26 + 1) = 18278