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ISEE Middle Level Quantitative Reasoning › Tables
The table below gives the population of Buchanan City in each census year from 1930 to 1980.
The population figures are not available for 1990, 2000, or 2010, but it is known that the population has not decreased since 1980.
Which is the greater quantity?
(a) The population of Buchanan City in 2010
(b)
It is impossible to tell from the information given
(a) and (b) are equal
(a) is greater
(b) is greater
Explanation
Since the population has not decreased since 1980, it can be inferred that the population in 2010 was greater than or equal to that in 1980, which is 4,275. However, nothing more is known.
The table below gives the population of Buchanan City in each census year from 1930 to 1980.
The population figures are not available for 1990, 2000, or 2010, but it is known that the population has not decreased since 1980.
Which is the greater quantity?
(a) The population of Buchanan City in 2010
(b)
It is impossible to tell from the information given
(a) and (b) are equal
(a) is greater
(b) is greater
Explanation
Since the population has not decreased since 1980, it can be inferred that the population in 2010 was greater than or equal to that in 1980, which is 4,275. However, nothing more is known.
Refer to the above graph, which shows the high and low temperatures for Kingdom City over a one-week period.
On how many days did the temperature fall below 55 degrees?
Three
Four
Two
One
Explanation
To answer this question, examine the line representing the low temperatures.
Notice that the three days on which the temperature fell below 55 have been marked with a circle (the low temperature on Tuesday was exactly 55).
Refer to the above graph, which shows the high and low temperatures for Kingdom City over a one-week period.
On how many days did the temperature fall below 55 degrees?
Three
Four
Two
One
Explanation
To answer this question, examine the line representing the low temperatures.
Notice that the three days on which the temperature fell below 55 have been marked with a circle (the low temperature on Tuesday was exactly 55).
Refer to the above graph, which shows the high and low temperatures for Kingdom City over a one-week period.
On how many days did the difference between the high and low temperatures reach or exceed fifteen degrees?
Four
Five
Six
Seven
Explanation
Below is the graph, this time with the temperatures represented.
The differences between the high and low temperatures for each day are as follows:
Sunday:
Monday:
Tuesday:
Wednesday:
Thursday:
Friday:
Saturday:
The differences for four days - Sunday, Monday, Tuesday, and Saturday - all exceed 15 degrees.
Refer to the above graph, which shows the high and low temperatures for Kingdom City over a one-week period.
On how many days did the difference between the high and low temperatures reach or exceed fifteen degrees?
Four
Five
Six
Seven
Explanation
Below is the graph, this time with the temperatures represented.
The differences between the high and low temperatures for each day are as follows:
Sunday:
Monday:
Tuesday:
Wednesday:
Thursday:
Friday:
Saturday:
The differences for four days - Sunday, Monday, Tuesday, and Saturday - all exceed 15 degrees.
The table below gives the population of Buchanan City in each census year from 1930 to 1980.
In 1930, 81% of the population of Buchanan City was non-White; in 1980, 61% was non-White.
Which is the greater quantity?
(a) The number of non-Whites living in Buchanan City in 1930
(b) The number of non-Whites living in Buchanan City in 1980
(b) is greater
It is impossible to tell from the information given
(a) is greater
(a) and (b) are equal
Explanation
(a) 81% of 2,984 is
(b) 61% of 4,275 is
(b) is greater
The table below gives the population of Buchanan City in each census year from 1930 to 1980.
In 1930, 81% of the population of Buchanan City was non-White; in 1980, 61% was non-White.
Which is the greater quantity?
(a) The number of non-Whites living in Buchanan City in 1930
(b) The number of non-Whites living in Buchanan City in 1980
(b) is greater
It is impossible to tell from the information given
(a) is greater
(a) and (b) are equal
Explanation
(a) 81% of 2,984 is
(b) 61% of 4,275 is
(b) is greater
A popular word game uses one hundred tiles, each of which is marked with a letter or a blank. The distribution of the tiles is shown above, with each letter paired with the number of tiles marked with that letter. Notice that there are two blank tiles.
How many consonants are represented by as many tiles as there are "U" tiles?
(Note: for this problem, "Y" is considered a consonant)
Three
Four
Two
Five
Explanation
According to the table, there are four "U" tiles. The consonants represented by exactly four tiles are "D", "L, and "S" - three different consonants.
A popular word game uses one hundred tiles, each of which is marked with a letter or a blank. The distribution of the tiles is shown above, with each letter paired with the number of tiles marked with that letter. Notice that there are two blank tiles.
How many consonants are represented by as many tiles as there are "U" tiles?
(Note: for this problem, "Y" is considered a consonant)
Three
Four
Two
Five
Explanation
According to the table, there are four "U" tiles. The consonants represented by exactly four tiles are "D", "L, and "S" - three different consonants.