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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