ISEE top Level Quantitative aid » Numbers and Operations » determinants / Multiples » element Numbers » exactly how to discover out if a number is element

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Explanation:

Every number except 1 contends least two determinants - 1 and also itself. So we are looking for a number v no other factors - that is, a prime.

You are watching: Prime number between 40 and 50

3 is a variable of both 33 and 39, and also 5 is a element of 35, so we can remove those choices. We cannot eliminate 37, due to the fact that it is a prime, having actually only 1 and also 37 together factors.


Which is the greater quantity?

(a) The number of prime numbers between 70 and 110

(b) The number of prime number between 80 and 120


Explanation:

The primes in between 80 and also 110 are had in both sets, so every we must do is to to compare the number of primes in between 70 and also 80 and also the variety of primes between 110 and also 120.

(a) The primes between 70 and also 80 room 71, 73, and 79 - 3 primes

(b) The only prime in between 110 and 120 is 113.

(a) is the greater quantity


Which is the better quantity?

(a) The variety of prime numbers between 1 and 20 inclusive

(b) The number of composite numbers between 21 and also 30 inclusive


Explanation:

(a) The element numbers in between 1 and 20 inclusive room 2, 3, 5, 7, 11, 13, 17, 19 - eight total.

(b) The element numbers between 21 and 30 inclusive room 23 and also 29 - two prime numbers the end of ten integers. This pipeline eight composite numbers.

(a) and also (b) are therefore equal.


Which is the greater quantity?

(a) The variety of prime numbers in between 1 and also 20 inclusive

(b) The variety of composite numbers in between 1 and also 20 inclusive


Explanation:

The element numbers in between 1 and 20 inclusive room 2, 3, 5, 7, 11, 13, 17, 19 - eight total. Since 1 is neither prime no one composite, this leaves 11 composite numbers. (b) is the greater quantity.


Which is the higher quantity?

(a) The amount of the prime numbers in between 11 and 19 inclusive

(b) The amount of the composite numbers between 11 and 19 inclusive


Explanation:

(a) The prime numbers in the 11-19 variety are 11, 13, 17, and also 19. Your sum: 

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(b) The composite numbers in the 11-19 range are 12, 14, 15, 16, and also 18. Your sum: 

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(b) is greater.


Which amount is greater?

(a) The number of composite numbers in between 1 and also 1,000 inclusive.

(b) The variety of even integers between 1 and also 1,000 inclusive.


Explanation:

It is not essential to count every one of the composite numbers in the 1-1,000 range. Other than for 2, every even number is composite, and there are more than one weird composite number (15, 25) to consist of for 2. This makes (a) greater.


Which is the greater quantity?

(a) The number of primes in between 20 and also 50

(b) The variety of primes between 10 and 40


Explanation:

The primes between 20 and 40 are included in both sets, so every we must do is to compare the variety of primes in between 40 and also 50 v the variety of primes between 10 and 20.

(a) The primes between 40 and 50 are 41, 43, and also 47 - three.

(b) The primes in between 10 and also 20 are 11, 13, 17, and 19 - four.

See more: Why Is Hno3 A Strong Acid Or Base? Strong Vs Weak Some Aspects About Acids And Bases

Since the number of primes between 10 and 20 outnumbers those in between 40 and also 50, the variety of primes in between 10 and 40 outnumber those between 20 and also 50. Therefore, (b) is the greater.


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