Question

2.
5.
Mathematics
1.
Apply Euclid's division algorithm to find HCF of numbers 4052 and 420.
Prove that the product of any three consecutive positive integers is divisible by 6.
Two tankers contain 850 litres and 680 litres of petrol respectively find the maximum
capacity of a container which can measure the petrol of either tanker in exact numbers
of times.
Show that any positive odd integer is of the form 4m + 1 or 4m +3, where m is some
integer
If a and B are the zeroes of the quadratic polynomial f(x) = ax2 + bx + C, then
evaluate i) + ii) ans +
Quadratic polynomial 2x² – 3x + 1 has zeroes as a and ß now from a quadratic
polynomial whose zeroes are 3a and 38.
When a polynomiał 6x4 + 8x + 29x² + 21x + 7 is divided by another polynomial
3x2 + 4x + 1 the remainder is in the form ax + b find a and b.
8. If the polynomial x* + 2x + 8x² + 12x + 18 is divided by another polynomial x+ 5,
the remainder comes out to be px +q, find values of p and q.
9. For what values of p and q will the following pair of linear equations has infinitely
many solutions? 4x + 5y = 2; (2p+77) + (p+89)y = 2q - p + 1
10. Solve the following pair of equations for x and y; 4x - y = a + b; ax - by = 2a
7.​

Answer 1

Answer:

Explanation:

HCF OF 4052 AND 420 BY APPLYING EUCLID'S DIVISION ALGORITHM:

4052=420×9+272

420=272×1+148

272=148×1+124

148=124×1+24

124=24×5+4

24=6×4+0

As, the remainder is 0,

∴The HCF of (4052,420) = 4