Math IQ Test 17 May 2024 tutorfor.co Welcome to your Math IQ Test 1) Two distinct circles can intersect at most at 2 points. Three distinct circles can intersect at most at 6 points. Then at most at how many points can 5 distinct circles intersect? 2) There are four keys and four locks. Each of the four keys fits exactly one of the four locks and different keys fit different locks. In the worst-case scenario what is the minimum total number of times a key has to be tested in a lock to match up all the keys and locks? 3) In how many different ways a bangle can be made by selecting 6 beads from 6 green beads and 6 blue beads? 4)) A small frog population numbering between 100 and 150 lived in a beautiful pond. One fateful Sunday a monster crane suddenly appeared and feasted on the poor frogs. Thereafter this crane visited the pond every Sunday. In each visit he ate the same number of frogs, and the number of frogs tripled between successive visits. If he ate all the frogs in the pond on his 4th visit, what is the sum of the digits of the number of frogs that were there on his first visit? 5) An array of 60 light bulbs are numbered from 1 to 60. At 1:00 AM all the lights are off. At the end of the nth minute (starting from 1:00 AM), the status (on/off) of the bulbs with number m, where m is a multiple of n will change (if it is on , it goes off and vice versa). How many bulbs will be on at 2:00AM? 6) Mina and Kamala are playing Carrom at Mina’s home. They agree that the first player to win either two consecutive games or a total of three games wins the match. In how many different ways can their match end if Mina wins the first game? 7) In the Land of Liars everyone lies 6 days a week and tells the truth on the remaining day, and this day of the week is the same for each inhabitant. How many days of a week an inhabitant of the Land of Liars can make the following statement? If I did not tell the truth yesterday I will certainly tell the truth tomorrow. 8) Sarath and Kamala each have a collection of marbles. If Sarath gives 4 marbles to Kamala, then they would both have an equal number of marbles. If Kamala gives 4 marbles to Sarath then Sarath would have 3 times as many marbles as Kamala. How many marbles does Sarath have? 9) A number is palindromic if it reads the same forwards as backwards. For example, 686 is palindromic. How many numbers from 100 to 300 are palindromic? 10) Sarath and Kamala each have a collection of marbles. If Sarath gives 4 marbles to Kamala, then they would both have an equal number of marbles. If Kamala gives 4 marbles to Sarath then Sarath would have 3 times as many marbles as Kamala. How many marbles does Sarath have? Time's up
