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ISEE Upper Level Quantitative : How to find out if a number is prime

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

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All ISEE Upper Level Quantitative Resources

8 Diagnostic Tests 234 Practice Tests Question of the Day Flashcards Learn by Concept

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

Possible Answers:

(b) is greater.

(a) is greater.

(a) and (b) are equal.

It is impossible to tell from the information given.

Correct answer:

(a) is greater.

Explanation:

(a) The prime numbers in the to range are 2, 3, 5, 7, 11, 13, 17 , and . Their sum is

2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 = 77 .

(b) The prime numbers in the to range are and ; their sum is

23 + 29 = 52 .

(a) is greater.

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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

Possible Answers:

It is impossible to tell from the information given

(a) and (b) are equal

(a) is greater

(b) is greater

Correct answer:

(b) is greater

Explanation:

The two greatest primes less than or equal to 100 are 97 and 89; their product is $97 \times 89 = 8,633 < 9,000$ , making (b) greater.

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Example Question #422 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

Which is the greater quantity?

(a) The product of the two least primes greater than or equal to 50

(b) 3,000

Possible Answers:

(a) and (b) are equal

(b) is greater

It is impossible to tell from the information given

(a) is greater

Correct answer:

(a) is greater

Explanation:

The two least primes greater than or equal to 50 are 53 and 59; their product is $53 \times 59 = 3,127 > 3,000$ .

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Example Question #423 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

Which is the greater quantity?

(a) The sum of the five greatest primes less than or equal to 100

(b) 400

Possible Answers:

(b) is greater

(a) is greater

It is impossible to tell from the information given

(a) and (b) are equal

Correct answer:

(a) is greater

Explanation:

The five greatest primes less than or equal to 100 are 73, 79, 83, 89, 97 . Their sum is

73+ 79+ 83+ 89+97 = 421 > 400

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Example Question #63 : Factors / Multiples

Which of the following is not a prime number between $\frac{5}{2}$ and $\frac{43}{5}$ ?

Possible Answers:

Correct answer:

Explanation:

A prime number is a number that is only divisible by itself and .

is the only number that is not prime.

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Example Question #16 : Prime Numbers

Which one is greater?

(a) The number of prime numbers between and

(b) The number of prime numbers between and

Possible Answers:

(b) is greater

(a) and (b) are equal.

(a) is greater

it is not possible to tell based on the information given.

Correct answer:

(a) and (b) are equal.

Explanation:

A prime number is a natural number greater than that can be divided only by and itself.

The prime numbers between and are:

23,29

The prime numbers between and are:

31,37

So (a) and (b) are equal.

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Example Question #17 : Prime Numbers

Which one is greater?

(a) The number of prime numbers between and

(b) The number of prime numbers between and 110

Possible Answers:

it is not possible to tell based on the information given.

(a) and (b) are equal

(b) is greater

(a) is greater

Correct answer:

(a) and (b) are equal

Explanation:

A prime number is a natural number greater than that can be divided only by and itself.

The prime numbers between and are:

71,73,79,83,89

The prime numbers between and 110 are:

97,101,103,107,109

So there are five prime numbers between and and there are five prime numbers between and 110 too. Therefore (a) and (b) are equal.

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Example Question #16 : Prime Numbers

Which of the following numbers is not a prime number between $\frac{8}{3}$ and $\frac{34}{3}$ ?

3,5,6,7,11

Possible Answers:

Correct answer:

Explanation:

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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Example Question #425 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

Which one is greater?

(a) The smallest prime number greater than 100 multiplied by the smallest prime number greater than .

(b) 1100

Possible Answers:

(a) is greater

(b) is greater

(a) and (b) are equal

it is not possible to tell based on the information given.

Correct answer:

(a) is greater

Explanation:

A prime number is a natural number greater than that can be divided only by and itself. The smallest prime number greater than 100 is 101 and the smallest prime number greater than is . So we can write:

$(a): 101\times 11=1111$

So (a) is greater than (b) .

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Example Question #20 : Prime Numbers

Which one is greater?

(a) The number of prime numbers between and .

(b)

Possible Answers:

(b) is greater

it is not possible to tell based on the information given.

(a) and (b) are equal.

(a) is greater

Correct answer:

(a) and (b) are equal.

Explanation:

A prime number is a natural number greater than that can be divided only by and itself.The prime numbers between and are:

11,13,17,19

That means there are four prime numbers between and . So (a) and (b) are equal.

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All ISEE Upper Level Quantitative Resources

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ISEE Upper Level Quantitative : How to find out if a number is prime

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

All ISEE Upper Level Quantitative Resources

Example Questions

Example Question #61 : Factors / Multiples

Example Question #62 : Factors / Multiples

Example Question #422 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

Example Question #423 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

Example Question #63 : Factors / Multiples

Example Question #16 : Prime Numbers

Example Question #17 : Prime Numbers

Example Question #16 : Prime Numbers

Example Question #425 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

Example Question #20 : Prime Numbers

All ISEE Upper Level Quantitative Resources

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