# HSPT Quantitative : Non-Geometric Comparison

## Example Questions

### Example Question #11 : How To Make Non Geometric Comparisons

Examine (a), (b), and (c) to find the best answer:

a)

b) The smallest prime number larger than

c)  percent of

Explanation:

a)

b) The smallest prime number larger than  is .

c)  percent of

Therefore (b) is smaller than (c) which is smaller than (a).

### Example Question #11 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer:

a)

b)

c)

Explanation:

Always do the operations in parantheses first, then multiplication, then addition.

a)

b)

c)

Therefore (a) is greater than (b), which is greater than (c) .

### Example Question #11 : How To Make Non Geometric Comparisons

Examine (a), (b), and (c) to find the best answer:

a)  of

b)  of

c)  of

Explanation:

Multiply each fraction by the number to find each value:

a)  of

b)  of

c)  of

Therefore (a) is less than (c), which is less than (b).

### Example Question #14 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer:

a)

b)

c)

(a) is greater than (b) and (c).

(c) is greater than (a) and (b).

(a), (b), and (c) are all equal.

(a) and (b) are equal.

(c) is greater than (a) and (b).

Explanation:

Always do the operations in parantheses first, then exponents, multiplication, and last addition.

a)

b)

c)

### Example Question #12 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer:

a)

b)

c)

(a), (b), and (c) are equal.

(b) and (c) are equal.

(b) is greater than both (a) and (c).

(a) is greater than both (b) and (c).

(b) and (c) are equal.

Explanation:

Compute each value in order to compare them:

a)

b)

c)

Therefore (b) and (c) are equal, and they are greater than (a).

### Example Question #51 : Hspt Quantitative Skills

Examine (a), (b), and (c) to find the best answer:

a)

b)

c)

(a) and (b) are equal.

(b) is greater than (a) or (c).

(c) is greater than (a) or (b).

(a), (b), and (c) are all equal.

(b) is greater than (a) or (c).

Explanation:

Rewrite the first fraction with a denominator of  in order to compare more easily:

a)

b)

c)

It becomes clear that (b) is the greatest, followed by (a), then (c).

### Example Question #13 : Non Geometric Comparison

Examine (a), (b) and (c) to find the best answer:

a)  percent of

b)  percent of

c)  percent of

(a) is greater than (b) or (c).

(a) and (c) are equal.

(b) is greater than (a) or (c).

(a) and (b) are equal.

(a) and (b) are equal.

Explanation:

Calculate the percents in order to compare them:

a)  percent of

b)  percent of

c)  percent of

Therefore (a) and (b) are equal, and less than (c).

### Example Question #18 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer:

a)

b)

c)

Explanation:

Calculate the exponents to compare the values:

a)

b)

c)

Therefore (a) is greater than (b), which is greater than (c).

### Example Question #19 : Non Geometric Comparison

Examine (a), (b), and (c) to find the best answer:

a)

b)

c)

None are equal.

(a), (b), and (c) are all equal.

Only (a) and (c) are equal.

Only (b) and (c) are equal.

Only (a) and (c) are equal.

Explanation:

Simplify each expression to see if they are equal:

b)

c)

Therefore (a) and (c) are equal, but (b) is different.

### Example Question #11 : How To Make Non Geometric Comparisons

Examine (a), (b), and (c) to find the best answer:

a)

b)  percent

c)

(a) is greater than (b) and (c).

(a), (b), and (c) are all equal.

(c) is greater than (a) and (b).

(b) is greater than (a) and (c).

(a) is greater than (b) and (c).

Explanation:

Convert each expression into a decimal in order to compare them:

a)

b)

c)

Therefore (a) is the largest.