Practice Questions for Algebra - Number Theory

1. LCM & HCF - 2 | Algebra - Number Theory

What is the least number that must be subtracted from 1850, so that the remainder when divided by 7, 12, and 16 is 4?

2. LCM & HCF - 2 | Algebra - Number Theory

What is the smallest number which when divided by 7, 9, and 11 leaves remainders 5, 7, and 9 respectively?

3. LCM & HCF - 2 | Algebra - Number Theory

A number leaves a remainder of 2 and 4 respectively when divided by 4 and 5. Find the least three digit such number.

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7 8 9 4 5 6 1 2 3 0 . -

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4. LCM & HCF - 2 | Algebra - Number Theory

Find the greatest number which when divides 252, 1848, and 462 leaves the same remainder.

5. LCM & HCF - 2 | Algebra - Number Theory

Find the least number which when divided by 6, 15, 17 leaves a remainder 1, but when divided by 7 leaves no remainder.

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7 8 9 4 5 6 1 2 3 0 . -

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6. LCM & HCF - 2 | Algebra - Number Theory

Find the HCF and LCM of the polynomials (y² - 5y + 6) and (y² - y - 2).

(a)
(y - 2), (y - 2) (y - 3) (y + 1)
(b)
(y - 2), (y - 2) (y - 3)
(c)
(y - 3), (y - 2) (y - 3) (y - 1)
(d)
(y – 3), (y + 2) (y - 3) (y - 1)
(e)
(y - 2), (y - 2)

LCM & HCF - 2 | Algebra - Number Theory