1307 x 1307 = (1307)²
= (1300 + 7 )²

Correct Option: D

1307 x 1307 = (1307)²
= (1300 + 7 )²
= (1300)² + (7)² + 2 x 1300 x 7
= 1690000 + 49 +18200
= 1708249

1299 x 1299 = (1300 - 1)²

Correct Option: D

1299 x 1299 = (1299)²
= (1300 - 1)²
= (1300)² + (1)² - 2 x 1300 x 1
= 1690000 + 1 - 2600 = 1687401

1014 x 986 = (1000 + 14 ) x (1000 -14)

Correct Option: B

1014 x 986 = (1000 + 14 ) x (1000 -14)
= (1000)² - (14)²
= (1000000 - 196) = 999804 .

Given expression = a²+b²+2ab = (a+b)²
where a = 387 and b = 114

Correct Option: B

Given expression = a²+b²+2ab = (a+b)²
where a = 387 and b = 114
= (387 + 114 )²
= (501)²
=(500 +1 )²
=(500)² + (1)²+ 2 x 500 x 1
= 250000 + 1 +1000 = 251001.

Let the number be x.
Then, 11x =132

Correct Option: B

Let the number be x.
Then, 11x =132
⇒ x = 12