For an integer n , let S n = n + 1 , n + 2 , … . , n + 18 . Which of the following is true for all n ≥ 10 ?

S n has at least four multiples of 5

EASY

Earn 100

Write the first common multiples of $2$ and $7 .$

Important Questions on Playing with Numbers

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

If $\frac{1}{y + z} + \frac{1}{z + x} = \frac{2}{x + y}$ then what is the value of $x^{2} + y^{2}$ ?

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

A boy has

3

shirts and

2

coats. How many different pairs, a shirt and a coat can he dress up with ?

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

Find L.C.M. of

26

and

91

by the prime factorization method.

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

How many numbers between

500

and

1000

are divisible by

13

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

What is the smallest integer that is a multiple of

5, 8

and

15

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

How many two digit numbers are divisible by

9

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

Find the LCM and HCF of $6$ and $20$ by the prime factorisation method.

MEDIUM

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

For an integer

n

, let

S_{n} = \{n + 1, n + 2, \dots ., n + 18\}

. Which of the following is true for all

n \geq 10

MEDIUM

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

The HCF of two numbers is

29

, and the other two factors of their LCM are

15

and

13

. The smaller of the two numbers is:

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

The least number which is exactly divisible by

5

6

8

10

and

12

is:

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

a

and

b

are positive integers such that

(a^{2} - b^{2})

is a prime number, then

MEDIUM

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

What is the least common multiple of

\frac{6}{5}

and

\frac{8}{25}

HARD

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

The number of

6

-digit numbers of the form

a b a b a b

(in base

10

) each of which is a product of exactly

6

distinct primes is

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

How many numbers from

1

1000

are divisible by

2

3

4

and

5

HARD

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

Suppose

a, b, c

are positive integers such that

2^{a} + 4^{b} + 8^{c} = 328 .

Then

\frac{a + 2 b + 3 c}{a b c}

is equal to-

MEDIUM

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

What is the number of Prime factor in $15^{18}$ $\times$ $4^{10}$ $\times$ $6^{9}$ .

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

Which of the following number is an odd and prime number?

MEDIUM

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

LCM of

23, 35, 46

is _____

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

What is the smallest integer that is divisible by

3, 7

and

18

EASY

Mathematics>Arithmetic>Playing with Numbers>Common Factors and Common Multiples

x

is a prime number,

L C M

x

and its successive number would be:

Write the first common multiples of 2 and 7.

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

Write the first common multiples of $2$ and $7 .$