The Circumference Worksheet Page 3
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10GRE PowerPrep Solutions
Test 1: First QR Section
Question 5 Test 1, First QR Section
6 < x < 7
y = 8
QA: x/y
QB: 0.85
Arithmetic: Fractions
Answer: The relationship cannot be determined
1. SUPPLY two numbers for x, one at the low end of its range and one at the high end of its range.
x = 6.1 and x = 6.9
x
2. Now determine the value of
with these two values of x:
y
x
6.1
6.9
x
=
= 0.7625 and
=
= 0.862
y
8
y
8
3. This demonstrates that the fraction (x/y) can be greater than 0.85 or less than 0.85. It is impossible
to determine with the information provided.
Question 6 Test 1, First QR Section
The average of 100 measurements is 23.....
QA: Average of 150 measurements
QB: 25
Statistics: Average
Answer: Quantity B is greater
1. When the average of 100 measurements is 23, find the sum:
sum
sum
→
=
23
→
1
= average
sum
= 2300
# of #s
100
1
2. When the average of 50 measurements is 27, find the sum:
sum
sum
=
27
→
2
→
= average
sum
= 1350
# of #s
50
2
3. Now find the average of the two groups together:
2300 1350
+
sum + sum
= combined average
→
= combined average
→
1
2
100 50
+
100 + 50
3650
= combined average
→
24.55 = combined average
150
3. Compare the quantities:
Quantity A: 24.55
Quantity B: 25
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