MATHS TRUE-FLASE [1 Marks Each]

False.
Solution:
1 is the square of a number (1 = 1²). But  1 + 1 = 2, which is not the square of any number.

False.
Solution:
If p is a prime number, its square is p², which has at least three factors, 1, p and p². Since it has more than two factors, it is not a prime number.

True.
Solution:
7² = 49 and 8² = 64. 7 and 8 are consecutive numbers and hence there are no square numbers between 50 and 60.

True.
Solution:
14² is equal to 196, which is below 200. There are 14 square numbers below 200.

True.
Solution:
If a² and b² are two squares, their product is a² × b² = (a × b)², which is a square.

False.
Solution:
100 is the square of a number but its number of digits is three, which is not an even number.

False.
Solution:
4 and 1 are squares (4 = 2², 1 = 1²). But 4 - 1 = 3, which is not the square of any number.

True.
Solution:
The square of a negative number will be positive because negative times negative is positive.