MIN maths 910

If (0, 0), (6, 2), (−2, 6) and (a, b) are the coordinates of the vertices of a parallelogram, what is the least possible value for a + b?

• 12

• 8

• 0

• -4

Find 3x+4 if x(x+2)(x+4)(x+6)=9

• -3
• 8
• -5
• 9

If m=m²+1, n=n²+1, find the value of m⁵+n⁵. Here, m and n are the roots of the equation x²-x+1=0

• 4

• 3

• -3

• 1

What is the largest integer n for which  $3(n^{2007})<3^{4015}$ ?

• 3

• 9

• 8

• 5

What is the sum of numerator and denominator of (0.519651965196….) in its lowest possible fraction?

• 15195

• 5196

• 5065

• 1732

Two random odd integers are picked. They have no common factors except 1 and their factors are less than 100. What will be the sum of picked integers ?

• 23

• 86

• 75

• 83

Which of the following expressions is equal to an odd integer for every integer n?

• 2021 - n

• 2021n

• 2021 + n²

• 2021 + 2n

Igor is shorter than Jie. Faye is taller than Goa. Jie is taller than Faye. Han is shorter than Goa. Who is the tallest?

• Faye

• Han

• Igor

• Jie

When two positive integers p and q are multiplied together, their product is 75. The sum of all of the possible values of p is

• 96

• 109

• 115

• 124

The least value of x which makes $\frac{24}{(x–4)}$   an integer is

• -44

• -28

• -20

• -8