Can you place six X (crosses) in below board without making three in a row in any way ?

I have a head like a cat and feet like a cat, but I am not a cat. What am I?

A cat, a dog and a monkey were stolen. 3 suspects got caught: Harish, Manoj and Tarun. All we know is each person stole one animal, but we do not know who stole which. Here are the investigation statements. Harish said: Tarun stole the cat. Manoj said: Tarun stole the dog. Tarun said: They both were lying. I did not steal the cat or the dog. Later on, the police found out the man who stole the monkey told a lie. The man who stole the cat told the truth. Can you find out who stole which?

A girl says this to her best friend: “I was born in 1955, and I celebrated my 17th birthday last weekend.” Her best friend thinks she’s lying, but she’s actually correct. How is that possible?

Can you find out which number multiplied by itself will give the output as 12345678987654321?

Can you decipher the following common phrase?

T M C
A U O
H S M
W T E

What goes through cities and fields, but never moves?

What has one letter and starts with an E?

Can you solve the maths in the below-given picture equation?

I am the one who remains awake when you sleep. But I need to rest when you awake. Who Am I?