All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #4 : How To Find Out If A Number Is Prime
Which is the greater quantity?
(a) The number of primes between 20 and 50
(b) The number of primes between 10 and 40
It is impossible to tell from the information given.
(a) is greater.
(a) and (b) are equal.
(b) is greater.
(b) is greater.
The primes between 20 and 40 are included in both sets, so all we need to do is to compare the number of primes between 40 and 50 with the number of primes between 10 and 20.
(a) The primes between 40 and 50 are 41, 43, and 47 - three.
(b) The primes between 10 and 20 are 11, 13, 17, and 19 - four.
Since the number of primes between 10 and 20 outnumbers those between 40 and 50, the number of primes between 10 and 40 outnumber those between 20 and 50. Therefore, (b) is the greater.
Example Question #5 : How To Find Out If A Number Is Prime
Which is the greater quantity?
(a) The product of the first five prime numbers
(b)
(a) is greater.
It is impossible to tell from the information given.
(a) and (b) are equal.
(b) is greater.
(b) is greater.
(a) The product of the first five prime numbers is .
(b)
(b) is greater.
Example Question #61 : Factors / Multiples
Which is the greater quantity?
(a) The sum of the prime numbers between and inclusive
(b) The sum of the prime numbers between and inclusive
It is impossible to tell from the information given.
(a) and (b) are equal.
(b) is greater.
(a) is greater.
(a) is greater.
(a) The prime numbers in the to range are , and . Their sum is
.
(b) The prime numbers in the to range are and ; their sum is
.
(a) is greater.
Example Question #62 : Factors / Multiples
Which is the greater quantity?
(a) The product of the two greatest primes less than or equal to 100
(b) 9,000
It is impossible to tell from the information given
(a) is greater
(a) and (b) are equal
(b) is greater
(b) is greater
The two greatest primes less than or equal to 100 are 97 and 89; their product is , making (b) greater.
Example Question #63 : Factors / Multiples
Which is the greater quantity?
(a) The product of the two least primes greater than or equal to 50
(b) 3,000
(a) is greater
(b) is greater
It is impossible to tell from the information given
(a) and (b) are equal
(a) is greater
The two least primes greater than or equal to 50 are 53 and 59; their product is .
Example Question #64 : Factors / Multiples
Which is the greater quantity?
(a) The sum of the five greatest primes less than or equal to 100
(b) 400
It is impossible to tell from the information given
(a) and (b) are equal
(a) is greater
(b) is greater
(a) is greater
The five greatest primes less than or equal to 100 are . Their sum is
Example Question #65 : Factors / Multiples
Which of the following is not a prime number between and ?
A prime number is a number that is only divisible by itself and .
is the only number that is not prime.
Example Question #16 : Prime Numbers
Which one is greater?
The number of prime numbers between and
The number of prime numbers between and
is greater
and are equal.
is greater
it is not possible to tell based on the information given.
and are equal.
A prime number is a natural number greater than that can be divided only by and itself.
The prime numbers between and are:
The prime numbers between and are:
So and are equal.
Example Question #17 : Prime Numbers
Which one is greater?
The number of prime numbers between and
The number of prime numbers between and
it is not possible to tell based on the information given.
and are equal
is greater
is greater
and are equal
A prime number is a natural number greater than that can be divided only by and itself.
The prime numbers between and are:
The prime numbers between and are:
So there are five prime numbers between and and there are five prime numbers between and too. Therefore and are equal.
Example Question #16 : Prime Numbers
Which of the following numbers is not a prime number between and ?
A prime number is a natural number greater than that can be divided only by and itself. In this problem is the only number which is not prime.
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