Question : College P has 180 students scoring average marks of 88 and college Q has 320 students scoring average marks of 72. Find the average marks of both colleges together.

Option 1: 82.00

Option 2: 75.25

Option 3: 77.76

Option 4: 80.00

Question : The average marks of 72 students are shown as 69. It includes a wrong entry of 45 marks instead of 54 marks. The correct average is:

Option 1: 68.875 marks

Option 2: 69.125 marks

Option 3: 68.625 marks

Option 4: 69.375 marks

Question : Which of the following pairs of non-zero values of p and q make the 6-digit number 674pq0 divisible by both 3 and 11?

Option 1: p = 2 and q = 2

Option 2: p = 5 and q = 4

Option 3: p = 4 and q = 2

Option 4: p = 5 and q = 2

Question : If $2p + q = 19$ and $8p^3+q^3=361$, then find the value of $pq$.

Option 1: 56

Option 2: 59

Option 3: 58

Option 4: 57

Question : The average mark obtained by a class of 60 students is 65. The average marks of half of the students were found to be 85. The average marks of the remaining students are:

Option 1: 35

Option 2: 45

Option 3: 55

Option 4: 65

Question : The average mark obtained by a class of 60 students is 65. The average marks of half of the students were found to be 85. The average marks of the remaining students are:

Option 1: 35

Option 2: 45

Option 3: 55

Option 4: 65