Find the $\mathrm{H}.\mathrm{C}.\mathrm{F}.$ of $252525$ and $363636$.

Important Questions on Numbers And Sequences

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.2>Q 4

If $13824=2^a\times 3^b$, then find $a$ and $b$.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.2>Q 5

If $p_1^{x_1}\times p_2^{x_2}\times p_3^{x_3}\times p_4^{x_4}=113400$, where $p_1, p_2, p_3, p_4$ are primes in ascending order and $x_1, x_2, x_3, x_4$ are integers, find the value of $p_1, p_2, p_3, p_4$ and $x_1, x_2, x_3, x_4$.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.2>Q 6

Find the $\mathrm{L}.\mathrm{C}.\mathrm{M}.$ and $\mathrm{H}.\mathrm{C}.\mathrm{F}.$ of $408$ and $170$ by applying the fundamental theorem of arithmetic.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.2>Q 7

Find the greatest number consisting of $6$ digits which is exactly divisible by $24, 15, 36$?

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.2>Q 8

What is the smallest number that when divided by three numbers such as $35, 56$ and $91$ leaves remainder $7$ in each case?

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.2>Q 9

Find the least number that is divisible by the first ten natural numbers.

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Progress Check>Q 1

Two integers $a$ and $b$ are congruent modulo $n$ if $a\equiv$_____.

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Progress Check>Q 2

Find the set of all positive integers which leave remainder $5$ when divided by $7$.