SSLC (English Medium) Class 10 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

A milk man has 175 litres of cow’s milk and 105 litres of buffalow’s milk. He wishes to sell the milk by filling the two types of milk in cans of equal capacity. Calculate the following :

Number of cans of cow’s milk

A milk man has 175 litres of cow’s milk and 105 litres of buffalow’s milk. He wishes to sell the milk by filling the two types of milk in cans of equal capacity. Calculate the following :

Number of cans of buffalow’s milk

Find the G.C.D. of the given polynomials

x⁴ + 3x³ – x – 3, x³ + x² – 5x + 3

Find the G.C.D. of the given polynomials

x⁴ – 1, x³ – 11x² + x – 11

Find the G.C.D. of the given polynomials

3x⁴ + 6x³ – 12x² – 24x, 4x⁴ + 14x³ + 8x² – 8x

Find the G.C.D. of the given polynomials

3x³ + 3x² + 3x + 3, 6x³ + 12x² + 6x + 12

Find the L.C.M. of the given expressions

4x²y, 8x³y²

Find the L.C.M. of the given expressions

– 9a³b², 12a²b²c

Find the L.C.M. of the given expressions

16m, – 12m²n², 8n²

Find the L.C.M. of the given expressions

p² – 3p + 2, p² – 4

Find the L.C.M. of the given expressions

2x² – 5x – 3, 4x² – 36

Find the L.C.M. of the given expressions

(2x² – 3xy)², (4x – 6y)³, (8x³ – 27y³)

Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD

21x²y, 35xy²

Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD

(x³ – 1) (x + 1), (x³ + 1)

Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD

(x²y + xy²), (x² + xy)

Find the LCM pair of the following polynomials

 a² + 4a – 12, a² – 5a + 6 whose GCD is a – 2

Find the LCM pair of the following polynomials

x⁴ – 27a³x, (x – 3a)² whose GCD is (x – 3a)

Find the GCD pair of the following polynomials

12(x⁴ – x³), 8(x⁴ – 3x³ + 2x²) whose LCM is 24x³ (x – 1)(x – 2)

Find the GCD pair of the following polynomials

(x³ + y³), (x⁴ + x²y² + y⁴) whose LCM is (x³ + y³) (x² + xy + y²)

Given the LCM and GCD of the two polynomials p(x) and q(x) find the unknown polynomial in the following table