Question : What will be the remainder when $27^{27}+27$ is divided by 28?

Option 1: 28

Option 2: 27

Option 3: 25

Option 4: 26

Question : Directions: If (3)² @ 1 * 7 = 98 and (4)² @ 2 * 16 = 178, then (5)² @ 3 * 9 = ?

Option 1: 218

Option 2: 262

Option 3: 253

Option 4: 259

Question : $3^{50}+9^{26}+27^{18}+9^{28}+9^{29}$ is divisible by which of the following integers?

Option 1: 11

Option 2: 5

Option 3: 7

Option 4: 2

Question : If the expression px³ – 2x² – qx + 18  is completely divisible by  (x² – 9), then what is the ratio of p to q?

Option 1: 1 : 9

Option 2: 1 : 3

Option 3: 3 : 1

Option 4: 9 : 1

Question : If the expression px³ – qx² – 7x – 6 is completely divisible by x² – x – 6, then what are the values of p and q respectively?

Option 1: 0 and 1

Option 2: 1 and 0

Option 3: 2 and 1

Option 4: 1 and 2