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Consider the following statements for the sequence of numbers given below :
11, 111, 1111, 11111, .....
1. Each number can be expressed in the form (4m + 3), where m is a natural number.
2. Some numbers are squares.
Which of the above statements is/are correct ?
Options:
A .  1 only
B .  2 only
C .  Both 1 and 2
D .  Neither 1 nor 2
Answer: Option A
11, 111, 1111, 11111,.....
Let m = 2 ⇒ 4 × 2 + 3 = 11
m = 27 ⇒ 4 × 27 + 3 = 111
Each number can be expressed in the form (4m + 3) where m is a natural number.
Hence, statement 1 is only correct.

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