If $a$ , $b$ , $c$ and $d$ are consecutive multiples of $5$ and $a < b < c < d$ , find the value of $(a - c) (d - b)$ .

100

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 100

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $- 100$
Given $a, b, c, d$ are consecutive multiple of $5$ i.e. $a, b, c, d$ forms an AP with common difference $5$
$b = a + 5, c = a + 10, d = a + 15$
Also, $a < b < c < d \Rightarrow a - c < 0$ and $d - b > 0$
$∴ (a - c) (d - b) = - (10) (10) = - 100$

Suggest Corrections

Similar questions

If $a$ , $b$ and $c$ are three consecutive multiples of $5$ then,

Given that a, b and c are three consecutive multiples of 5('a' being the smallest). Choose the correct option.

a^{3} = b^{3} + c^{3} + d^{3}

Join BYJU'S Learning Program