ISEE Middle Level Quantitative : How to find the part from the whole

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests 天的问题 Flashcards Learn by Concept

Example Questions

Example Question #1 :How To Find The Part From The Whole

Harvey bought a suit at a 25% employee discount at the store where he works. The suit originally cost $350.00. How much did he end up paying?

Possible Answers:

Correct answer:

Explanation:

Finding 25% of a number is the same as multiplying it by 0.25; to get the discount, multiply 0.25 by the original purchase price of $350.00

To get the price Harvey paid, subtract the discount from the original price:

Example Question #1 :Whole And Part

Which of the following is true if?

Possible Answers:

Correct answer:

Explanation:

Two expressions are equivalent in modulo 9 arithmetic if and only if, when each is divided by 9, the same remainder is yielded.

,

so

, so

is the correct choice.

Example Question #1 :Whole And Part

is a positive integer. Which is the greater quantity?

(a) The remainder ifis divided by 5

(b) The remainder ifis divided by 4

Possible Answers:

(a) is the greater quantity

(a) and (b) are equal

(b) is the greater quantity

It is impossible to determine which is greater from the information given

Correct answer:

It is impossible to determine which is greater from the information given

Explanation:

The information is insufficient.

For example, if:

.

.

This gives the division in (b) the greater remainder.

But if:

.

.

This gives the division in (a) the greater remainder.

Example Question #1 :How To Find The Part From The Whole

is a positive even integer. Which is the greater quantity?

(a) The remainder ifis divided by 6

(b) The remainder ifis divided by 3.

Possible Answers:

(b) is the greater quantity

(a) is the greater quantity

It is impossible to determine which is greater from the information given

(a) and (b) are equal

Correct answer:

(a) and (b) are equal

Explanation:

Sinceis an even integer, by definition, there is an integersuch that

.

; therefore,

; the remainder is 0.

Also,

; the remainder is 0.

The two remainders are both equal to 0.

Example Question #1 :Whole And Part

is a positive odd integer. Which is the greater quantity?

(a) The remainder ifis divided by 8

(b) The remainder ifis divided by 4

Possible Answers:

It is impossible to determine which is greater from the information given

(a) is the greater quantity

(b) is the greater quantity

(a) and (b) are equal

Correct answer:

(a) is the greater quantity

Explanation:

, with a remainder of 0.

Ifwere to yield a remainder of 0, thenmust be a whole number; this can only happen ifis even. Sinceis odd, it follows thatis not a whole number, andmust yield a nonzero remainder. (a) must be the greater quantity.

All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests 天的问题 Flashcards Learn by Concept
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