Easy Mathematical Puzzles - 3

Many competitive exams test your ability to solve math puzzles and brain teasers. Most of them are number puzzles, based on the concepts of arithmetic, algebra, ratio & proportion, set theory, probability, permutations, etc. Here, we have compiled various types of mathematical puzzles in the order of difficulty. This article contains a set of 10 simple mathematical puzzles along with answers and explanations. Solve the given maths puzzle questions and check your mental aptitude:
Q.1.The front wheel of a car has a circumference of 24 ft and that of the back wheel is 30 ft long. What is the distance traveled by the car, when the front wheel has done six more revolutions than the rear wheel?
Q.2.There are 3 bag labeled as bag P, bag Q, and bag R. Only one bag has the gift you wanted, the other 2 are empty. Assume you pick the bag P, you will have one third (1/3) of chance to win the gift. If I open the bag Q and show you the bag Q is empty, do you want to exchange your bag P for bag R in order to get a better chance to win?
Q.3.When the number 153,810 is divided by n, for which n is the remainder largest ?
A. 2
B. 5
C. 6
D. 8
E. 9
Q.4.Which of the following is a common factor of both x2 – 4x – 5 and x2 – 6x – 7?
A. x-5
B. x-7
C. x-1
D. x+5
E. x+1
Q.5.If log 3 = 0. 4771, then find how many digits are contained in the number 364.
Q.6.If two similar triangles have bases in the ratio of 3:4, what is the ratio of their areas?
A. 1:1.67
B. 3:4
C. 9:16
D. 6:8
Q.7.A yellow light flashes 4 times per minute and a green light flashes 6 times in two minutes at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour?
Q.8.S = { 1,3,5,7……100 elements}. How many ways are there to choose exactly 8 elements from S such that their sum is 71?
Q.9.There are 2 sisters among a group of 15 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two sisters?
Q.10.The square of a 3-digit number is a 6-digit number. If the two numbers together use all of the digits from 0 to 9 except 3, what is the 3-digit number?