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## GRE - Quantitative Reasoning - Percentage

### If during a one-day period the Q train arrives at the station 30% less frequently than the B train, and the B train arrives 10% less frequently than the F train (more)

If during a one-day period the Q train arrives at the station 30% less frequently than the B train, and the B train arrives 10% less frequently than the F train, then the Q train’s frequency is what percent of the F train’s frequency?

A. 27
B. 40
C. 60
D. 63
E. 90

Assume that frequency of train F is x

frequency of B = x - 10% of x = 0.9x

frequency of Q = 0.9x - 30% of 0.9x = 0.63x

required percentage = 0.63x/x * 100 = 63%

### 5 is r percent of 25 s is 25 percent of 60 (more)

5 is r percent of 25
s is 25 percent of 60

Quantity A: r

Quantity B: s

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

5 is r% of 25

i.e.

5 = r*25/100

r = 20

s is 25% of 60

s = 25*60/100 = 15

r > s

Option A

### If x>0, which of the following is equal to 1.25 percent of x ? (more)

If x>0, which of the following is equal to 1.25 percent of x ?

1. x/80
2. x/8
3. x/4
4. 5x/8
5. 3x/4

1.25% of x = 1.25/100 * x

= 125/10000 * x

= 1/80 x

Option 1 is correct