# General SAT (College Board) Mathematics: Questions 42 - 45 of 101

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## Question number: 42

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Appeared in Year: 2008

MCQ▾

### Question

Figures I and II above show two stacks of identical pails and their heights. If is the number of pails in a stack and , the height of the stack, in inches, is given by . The number 2 in the equation represents what quantity shown in Figure III? (January)

### Choices

Choice (5)Response

a.

, the height of one pail

b.

, the height of the overlap of two pails

c.

, the volume of the bottom pail that remains after the second pail is stacked on top of it.

d.

, the diameter of the bottom of each pail

e.

, the distance between the top of one pail and the top of the next pail in the stack

## Question number: 43

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Appeared in Year: 2010

MCQ▾

### Question

If , what is the value of when ? (January)

### Choices

Choice (5)Response

a.

24

b.

36

c.

18

d.

27

e.

30

## Question number: 44

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Appeared in Year: 2010

MCQ▾

### Question

For positive integers and , let be defined by . Which of the following is equal to 125? (January)

### Choices

Choice (5)Response

a.

b.

c.

d.

e.

## Question number: 45

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Appeared in Year: 2010

MCQ▾

### Question

The integer is the sum of 3 different positive integers, each less than 10. The integer is the sum of 3 different positive integers, each less than 20. What is the smallest possible value of ? (January)

### Choices

Choice (5)Response

a.

b.

c.

d.

e.

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