Question

(c) odd number      (d) even or odd 30. If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p, then the value of p is (a) 5    (b) -5   (c) 4 (d) -4​

Answer 1

Answer:

Option (b)

Step-by-step explanation:

Given :-

The HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p.

To find :-

Find the value of p ?

(a) 5    (b) -5   (c) 4 (d) -4

Solution :-

Given numbers are 408 and 1032

408 can be written as

408 = 2×2×2×3×7

1032 can be written as

1032 = 2×2×2×3×43

HCF (408,1032) = 2×2×2×3

HCF (408,1032)= 24

HCF of 408 and 1032 is 24

According to the given problem

HCF of 408 and 1032 is expressible in the form of 1032×2 + 408×p

=> 1032×2 + 408×p = 24

=> 2064 + 408p = 24

=> 408p = 24-2064

=> 408p = -2040

=> p = -2040/408

=> p = -5

Therefore, p = -5

Answer:-

The value of p for the given problem is -5

Used formulae:-

→ HCF is the heighest common factor of two or more numbers .

Answer 2

Answer:

Step-by-step explanation: