Question : The value of (11111)² is:

Option 1: 12344321

Option 2: 121212121

Option 3: 123454321

Option 4: 1132462

Question : If (a – b) = 1, what is the value of (a³ – b³)?

Option 1: a² + ab + b²

Option 2: (a + b)² + 3ab

Option 3: a² – ab + b²

Option 4: a² + 2ab + b²

Question : What is the value of (3x³ + 5x²y + 12xy² + 7y³), when x = – 4 and y = – 1?

Option 1: – 329

Option 2: – 359

Option 3: – 361

Option 4: – 327

Question : If a + b = 3, the value of a³ + b³ + 9ab is:

Option 1: 27

Option 2: 9

Option 3: 16

Option 4: 81

Question : If a + b + c = 0, the value of (a³ + b³ + c³) is:

Option 1: abc

Option 2: 2abc

Option 3: 3abc

Option 4: 0

Question : The value of $\frac{(2.53)^3+(2.47)^3}{25.3 \times 25.3-624.91+24.7 \times 24.7}$ is 5 × 10^k, where the value of k is:

Option 1: –2

Option 2: –1

Option 3: 1

Option 4: 2