Whole and Part - ISEE Middle Level Quantitative Reasoning
Card 0 of 775
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?
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?
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:
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:
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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) The remainder if
(b) The remainder if
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.
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.
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Which of the following is true if 
?
Which of the following is true if
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.
Two expressions are equivalent in modulo 9 arithmetic if and only if, when each is divided by 9, the same remainder is yielded.
so
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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.
(a) The remainder if
(b) The remainder if
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.
Since
Also,
The two remainders are both equal to 0.
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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
(a) The remainder if
(b) The remainder if
, 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.
If
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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?
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?
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:
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:
Compare your answer with the correct one above
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) The remainder if
(b) The remainder if
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.
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.
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Which of the following is true if ?
Which of the following is true if
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.
Two expressions are equivalent in modulo 9 arithmetic if and only if, when each is divided by 9, the same remainder is yielded.
so
Compare your answer with the correct one above
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.
(a) The remainder if
(b) The remainder if
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.
Since
Also,
The two remainders are both equal to 0.
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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
(a) The remainder if
(b) The remainder if
, 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.
If
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Albert sent a letter to his penpal everyday for the entire month of January and February. How many letters did Albert send his penpal?
Albert sent a letter to his penpal everyday for the entire month of January and February. How many letters did Albert send his penpal?
Add the total days in January and February:
Answer: Albert sent his penpal 59 letters.
Add the total days in January and February:
Answer: Albert sent his penpal 59 letters.
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A can of tomato soup cost $.85. How much does it cost to buy 12 cans of soup?
A can of tomato soup cost $.85. How much does it cost to buy 12 cans of soup?
Multiply:
Multiply:
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Three pounds of flour costs $2.50. How much does 9 pounds costs?
Three pounds of flour costs $2.50. How much does 9 pounds costs?
Multiply:
Multiply:
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Each day Gillian crosses the bridge, she has to pay a $6.50 toll. How much does she spend on tolls in one week?
Each day Gillian crosses the bridge, she has to pay a $6.50 toll. How much does she spend on tolls in one week?
Multiply:
Multiply:
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Mary went shopping for her band uniform. She spent $29.00 on pants, $25.42 on a shirt, and $25.42 on shoes. How much did Mary spend in total?
Mary went shopping for her band uniform. She spent $29.00 on pants, $25.42 on a shirt, and $25.42 on shoes. How much did Mary spend in total?
Add up all of Mary's expenses:
Add up all of Mary's expenses:
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Multiply: 
Multiply:
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There are 
pieces of candy for each of the 
children at a birthday party. How many pieces of candy are there all together?
There are
Multiply: 
pieces of candy
Multiply:
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Calvin owns a restaurant. He pays $1,200.00 a month in rent. How much rent does Calvin pay a year?
Calvin owns a restaurant. He pays $1,200.00 a month in rent. How much rent does Calvin pay a year?
Multiply:
Answer: Calvin pays $14,400.00 in rent a year.
Multiply:
Answer: Calvin pays $14,400.00 in rent a year.
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Multiply:
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Multiply:
Multiply:
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