How many pluses should we put between the digits of 987654321 to get a total of 99, and where?

To attend world science seminar, A famous chemist from Mexico visit
London. In the lab, the scientist was killed and his six assistants were under suspicion of killing the chemist.
Name of six assistants: Austin, Wayne, Dege, Oscaru, Lingard, and Rojo.
He left a note "76-20-44 79-16-22-7"

A local detective Jack was called to solve the case,

After reading the note, Jack instantly asked the police to arrest the murderers.

Who are the murderers?

Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

Replace each alphabet with the number (1-9) to make the below equation correct.

AB * C = DE - F = GH / I

In the Mexico City area, there are two Houses H1 and H2. Both H1 and H2 have two children each.
In House H1, The boy plays for Mexico Youth academy and the other child plays baseball.
In House H2, The boy Plays soccer for his school in Mexico and they recently have a newborn.

Can you prove that the probability of House-H1 having a girl child is more than that of House-H2?

What jumps when it walks and sits when it stands?

Which tank will fill first?

You can take four of the five letters out of this word, but the pronunciation never changes. What is the word?

What time is it when an elephant sits on a fence?

How many runs at maximum can a batsman score in a normal one-day match? Consider the fact that the conditions are ideal and there are no No Balls, no Wide Balls and no Extras in that match.