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

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

John killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

Can you replace the question mark with the correct number?

What does this rebus picture identify?

Thomas has missed an excessive number of days of school, so he must meet with Principal Davis. Mr. Davis asks him "Why on Earth have you missed so many days?" Thomas replies "There just isn't enough time for school. I need 8 hours of sleep a day, which adds up to about 122 days a year. Weekends off is 104 days a year. Summer vacation is about 60 days. If I spend about an hour on each meal, that's 3 hours a day or 45 days a year. I need at least 2 hours of exercise and relaxation time each day to stay physically and mentally fit, adding another 30 days. Add all of that up and you get about 361 days. That only leaves 4 days for school." The principal knows Thomas is full of it, but can't figure out why. Where is Thomas going wrong?

If I remove one from eleven it becomes Ten and if I remove one from nine also becomes Ten. How?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

When can we add 2 to 11 and get 1 as the correct answer?

Get total of 120 by using five zeros 0,0,0,0,0 and any one mathematical operator.
Do you ?