TIMO FInals 3

A fair six-sided die is rolled twice. What is the probability of getting composite numbers for both rolls?

• 1/4

• 1/9

• 3/5

• 12/23

How many positive divisors does 90 have?

How many diagonals does a 14-sided convex polygon have?

• 77

• 66

• 88

• 55

It is known that 𝑎, 𝑏, 𝑐, 𝑑 are positive integers. Find the number of solution sets of 𝑎 + 𝑏 + 𝑐 + 𝑑 = 17

• 480

• 560

• 360

• 710

• 7

• 8

• 9

• -5

If 𝑥 > 0, 𝑥 is an even 3-digit number and 𝑥 ≡ 11 𝑚𝑜𝑑 21, find the maximum value of 𝑥.

• 4512

• 3800

• 4845

• 5004

Find the number of way(s) to assign 12 people into four groups evenly.

• 15400

• 14500

• 22001

• 13450

• -24

• 45

• -18

• 38