Question

what should come in the place of question mark in the following series 24,536,487,703,678,?

​

Answer 1

$\huge\text{\underline{Answer:}}$

24, 536, 487, 703, 678, 742

$\rule{100}2$

$\textbf{\underline{\underline{Explanation:-}}}$

So, First of all, We have to find a common thing in this series. Why not try with subtraction ? Let's dot it!

536 - 24 = 512  ( not found ?! nothing to be sad, find it's factors )

→ 512 = 8 × 8 × 8 ____________ ( ! )

Now,

Let's do the same with the next number, we may get similarity among both these numbers!

= 487 - 536

= - 49 ( ignore ( - ) sign, find it's factors  )

→ 49 = 7 × 7 __________ ( !!! )

From ( ! ) and ( !! ) It can be conclude that the factors are in reverse order . Isn't it ?

Moving forward..

703 - 487 = 216

→ 216 = 6 × 6 × 6 ( we are not too far! )

678 - 703 = - 25 ( Ignore ( - ) sign )

→ 25 = 5 × 5 ( From this, we are sure now that we have to use number 4 for the next number. )

Finally,

= 4 × 4 × 4

= 64

So, Reduce 64 from 678

= 678 - 64

= 742

Therefore,

  You must erase the Question mark, because we have got the ans, i.e 742.

$\rule{200}2$