All ISEE Upper Level Quantitative Resources
Example Questions
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
(b) is greater.
(a) is greater.
(a) and (b) are equal.
It is impossible to tell from the information given.
(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
(a) is greater
(a) and (b) are equal
It is impossible to tell from the information given
(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
(b) is greater
It is impossible to tell from the information given
(a) is greater
(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
(a) is greater
It is impossible to tell from the information given
(b) is greater
(a) and (b) are equal
(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 : How To Find Out If A Number Is Prime
Which one is greater?
The number of prime numbers between and
The number of prime numbers between and
and are equal.
is greater
it is not possible to tell based on the information given.
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 and are equal.
Example Question #17 : How To Find Out If A Number Is Prime
Which one is greater?
The number of prime numbers between and
The number of prime numbers between and
and are equal
it is not possible to tell based on the information given.
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 #18 : How To Find Out If A Number Is Prime
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.
Example Question #19 : How To Find Out If A Number Is Prime
Which one is greater?
The smallest prime number greater than multiplied by the smallest prime number greater than .
is greater
and are equal
it is not possible to tell based on the information given.
is greater
is greater
A prime number is a natural number greater than that can be divided only by and itself. The smallest prime number greater than is and the smallest prime number greater than is . So we can write:
So is greater than .
Example Question #20 : How To Find Out If A Number Is Prime
Which one is greater?
The number of prime numbers between and .
and are equal.
it is not possible to tell based on the information given.
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:
That means there are four prime numbers between and . So and are equal.