1 Three of the four interior angles of a quadrilateral have measures 91◦ , 92◦ , and 93◦ . What is the measure of the other interior angle?

2 There is a mysterious number. Adding 4 3 to the number gives the same result as multiplying the number by 4 3 . What is the number?

3 In the land of Noom, all nouns are 4-letter words with consonants at the beginning and end, and a repeated vowel (a, e, i, o, or u) in the middle. How many possible nouns are there in Noom?

4 How many positive integers smaller than 16 are divisors of 19,571,123?

5 Find the remainder when 1 + 2 + 2 2 + 2 3 + · · · + 2 100 is divided by 7

Find the sum of all values of k such that the equation x 2 − kx + (k − 1) = 0 has exactly one solution.

Let a and b be digits. What is the largest four-digit number a47b that is divisible by 36?

Guest Nov 1, 2020

edited by
Guest
Nov 1, 2020

#1**+1 **

1 - 360 - 91 - 92 - 93 =?

2 - The number is: 43 / 42

4 - Divisors of 19,571,123 = (1, 11, 13, 143, 136861, 1505471, 1779193, 19571123) >>Total = 8

[1, 11, 13] = 3 divisors below 16

5 - Not Clear Enough. Write your numbers clearly !!

Let a and b be digits. What is the largest four-digit number a47b that is divisible by 36?

The largest 4-digit number =5472 [This is divisible by 2 AND 3 and their multiples of 4, 6, 9, 12 and 18].

Guest Nov 1, 2020