IQ test
There is a lake on the surface of which water lilies float. The number of lilies doubles daily. If it takes 48 days to completely occupy the entire area of the lake, how many days will it take to occupy half of the lake?
47 days
How many hours are there in ten quarters of an hour?
2 and a half
Karma Patel took selfies with his 8 cousins. Each of the 8 cousins is in two or three pictures. In each picture, there are Karma Patel and exactly 5 cousins. How many selfies did Karma Patel take?
4
The numbers 41, 35, 19, 9, 26, 45, 13, 28 are arranged in pairs so that the sum of the numbers in each pair is the same. The number paired with 13 is:
41
Mary is 16 years old. She is 4 times older than her brother. How old will Mary be when she is twice his age?
24
Gertrude's family consists of her mother, father, sister, and herself. If the sum of their ages is 88, how many years does it take until the sum of their ages is 100?
3 years
Jerry and Bennett had money savings, which were in a ratio of 5:3. After Jerry bought a tablet for $160, the ratio of their savings changed to 3:5 How many dollars did Jerry have before buying the tablet?
$250
A rectangular prism has a volume of 12 cm3. A new prism is formed by doubling the length, doubling the width, and tripling the height of the original prism. The volume of this new prism is:
144cm3
Which day is three days before the day immediately following the day two days before the day three days after the day immediately before Friday?
Wednesday
In a race, Oliver finished before Caden, Shana finished after Andrea, Caden finished before Andrea, and Angus finished before Oliver. Who finished last of these five runners?
Shana
A polygon has an even number of angles. Half of the angles are 120 degrees each and the other half are 150 degrees each. How many angles does the polygon have?
8
Points A, B, C, and D are on a line in that order.
The distance from A to D is 24.
The distance from B to D is 3 times the distance from A to B. Point C is halfway between B and D.
What is the distance from A to C?
15
There are 5 machines that make 5 parts in 5 minutes. How long does it take to make 100 parts on 100 machines?
5 minutes
The numerator of a fraction was increased by 40%. How many percent should you then reduce the denominator to get a 2 times larger fraction than the original?
30%
The first 2 digits of a 100 digit integer are 2 and 9. How many digits does the square of this number have?
199
After consuming a case of Red Bull, Brandon jumps 1 m to the east, then 2 m to the north, then 3 m to the west, then 4 m to the south. After every fourth jump, Brandon restarts the sequence of jumps: 1 m to the east, then 2 m to the north, then 3 m to the west, then 4 m to the south. After a total of n jumps, Brandon's position is 162 m to the west and 158 m to the south of his original position. The sum of the squares of the digits of n is:
22
A car travels at a speed of 40 mph over a certain distance and then returns over the same distance at a speed of 60 mph. What is the average speed for the total journey?
48 mph
What is the leftmost digit of the smallest positive integer whose digits add up to 2019?
3
The number 2a has exactly 10 divisors, and the number 3a has exactly 6 divisors. Find the sum of the first and last digits of the number 2019a
10
A bag contains 3 red marbles and 6 blue marbles. Tracy removes one marble at a time until the bag is empty. Each marble that she removes is chosen randomly from the remaining marbles. Given that the first marble that Tracy removes is red and the third marble that she removes is blue, what is the probability that the last two marbles that Tracy removes are both blue?
10/21