Number Properties

1.Choose the odd one out.

• A. 3.333333
• B. 123.7878787878....
• C. -101.85858585858585...
• D. 23.4512390754...
• E. 1.123123123123...

2. Quantitative comparison question It is given that m and n are positive integers. Quantity A: m + n Quantity B: m- n

• A
• B
• C
• D

3. Quantitative comparison question: It is given that "a" and "b" are two integers. Quantity A: a + b Quantity B: a - b

• A
• B
• C
• D

4. Quantitative comparison question It is given that x and y are two integers. Quantity A: x*y Quantity B: x/y

• A
• B
• C
• D

5. Quantitative comparison question It is given that p is a prime number and c is a composite number. Quantity A: Number of factors of p Quantity B: Number of factors of c

• A
• B
• C
• D

6. The number of numbers between -12 and 2 is

7. Choose all the correct answers: It is given that x and y are integers. Select all the options which are necessarily integers.

• x²y + y²x
• (y*x)²
• (x- y)²
• 3 - xy
• x²/y

8. Given that x and y are non-zero integers, which of the following must be true. Select all such statements.

• x²y + y² is positive if y is positive
• x + (y/x) is positive if x and y both are positive
• x²y + xy² is positive if y is positive
• x + xy + yx + y is positive if x is positive
• 3 + x is positive if x is negative

9. Select all the statements which must be true. It is given that "a" and "b" are integers.

• a- b is an even integer if a = b
• ab + ab² must be even if b is even
• 264a - 20b is an even integer irrespective of the nature of a and b
• if a is an odd integer, then , necessarily, (a-b)² + (b-a)² is even irrespective of the nature of b.
• b + a + 31n is even when a is even

10. BODMAS Rule

• 
• B. 0
• 
• 
• E. None of the above.