Question

31,35,47,111,367, _​

Answer 1

Given data :

31, 35, 47, 111, 367, _____ what is next ?

1)1391. 2)476. 3)256. 4)589​

To find :

The missing term in the given series.

Step by step calculation :

NOTE : In reasoning, sometimes, the questions will be given with a bit of fault in it. This question falls under that category.

In such situations, you need to go by option verification and find a reason that suits better to check an option.

35 - 34 = 4

47 - 35 = 12

111 - 47 = 64

367 - 111 = 256

If we closely see, all the differences are positive, keeps on increasing, and are the multiples of 4.

Let us see which option passes all these three factors :

1) 1391 - 367 = 1024  (Multiple of 4, positive, greater than 256) Suits!

2) 476 - 367 = 109  (NOT a multiple of 4, positive, greater than 256) Wrong!

3) 256 - 367 = -111  (NOT a multiple of 4, negative, less than 256) Wrong!

4) 589 - 367 = 222 (NOT a multiple of 4, positive, less than 256) Wrong!

So, it is clear that 1391 is the only option that follows every rule.

Therefore, the next term is 1391

and the series is

31, 35, 47, 111, 367, 1391

Learn more :

1. Which of the following options will best complete the relationship given below? 13(4624)33 15(5735)42 11(????)37​

brainly.in/question/11140008

2. 5 7 (37) 8 4(20) 10 6(34) 6 4(?) Find missing number

brainly.in/question/16813585

Answer 2

Answer:

$\begin{gathered}\boxed{\begin{array}{cccc}\bf x & \bf y \\ \frac{\qquad \qquad \qquad \qquad}{} & \frac{\qquad \qquad \qquad \qquad}{} \\ \sf 0 & \sf - 2.5 \\ \\ \sf 5 & \sf 0 \end{array}} \\ \end{gathered}$