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

## 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 ?     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 if is divided by 5

(b) The remainder if is divided by 4

(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

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 if is divided by 6

(b) The remainder if is divided by 3.

(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

(a) and (b) are equal

Explanation:

Since is an even integer, by definition, there is an integer such 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 if is divided by 8

(b) The remainder if is divided by 4

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 , with a remainder of 0.
If were to yield a remainder of 0, then must be a whole number; this can only happen if is even. Since is odd, it follows that is not a whole number, and must yield a nonzero remainder. (a) must be the greater quantity. 