#1571 - Counting Apples Basket Problem

In a basket of apples,
when counted in twos, there was one extra
when counted in threes, there were two extra when counted in fours, there were three extra
when counted in fives, there were four extra
when counted in sixes, there were five extra.

However, if the apples were counted in sevens, no extra apple was left. Can you calculate the minimum number of apples that were present in the basket ?

119

Let the number of apples = X
X / 2 => Remainder = 1
X / 3 => Remainder = 2
X / 4 => Remainder = 3
X / 5 => Remainder = 4
X / 6 => Remainder = 5
X / 7 => Remainder = 0

Therefore, X is divisible by 7.

Whenever X is divided by any number less than 7, the remainder is 1 less than the divisor.
=> X + 1 is the LCM of 2, 3, 4, 5 and 6.

Now LCM of 2, 3, 4, 5 and 6 = 60
But 60 - 1 = 59 is not divisible by 7

60 * 2 = 120
120 - 1 = 119 which is divisible by 7

This means that X + 1 = 120 or X = 119

Number of minimum number of apples in the basket = 119

#1572 - Fill The Holes In Picture series

You can see some missing numbers in the figure. You have to fill them such that the sum of each side equals 36.

Fill The Holes In Picture series

Refer to the picture for solution.

#1573 - Find Which Movie

This cute little figure holds the name of a movie. Can you find out which movie is that ?

Find Which Movie

The movie name is - Identity Thief. The thief clipart on the top of the code was a giveaway.

#1574 - Count Chocolates Maths Problem

A and B have a certain number of chocolates with them. If B gives one chocolate to A, they will have equal number of chocolates. But if A gives one chocolate to B, then A will be left with half the number of chocolates that B has.

Can you find out the number of chocolates they have right now?

Let us say that A has P no. of chocolates and B has Q no. of chocolates right now.
Now according to the question:
P + 1 = Q - 1
=> Q - P = 2 ------ (i)

Also, P - 1 = (Q + 1) / 2
=> 2P - Q = 3 ------ (ii)

Equating (i) and (ii)
P = 5 and Q = 7

Therefore, A has 5 chocolates and B has 7 chocolates right now.

#1575 - Missing Digit Puzzle

The center of the third figure is empty. What digit should fit inside?

Missing Digit Puzzle

The pattern that is being followed here is reversing the corner digits and adding them.
First Square:
13 + 32 + 11 + 34 = 90

Second Square:
21 + 19 + 27 + 16 = 83

Third Square:
33 + 33 + 22 + 26 = 125

Thus the missing number is 125

#1576 - Relationship Problem

Andy is father of B and Dexter is son of C. Eric is brother of A and E also has a daughter Fanny, if Cindy is sister of A then what is the relation between the Fanny, B and Dexter ?

Parent of B is Andy.
Parent of Fanny is Eric.
Parent of Dexter is Cindy.
Eric is Andy brother and Cindy is Andy sister.
Thus, Fanny, B and Dexter are cousins.

#1577 - Picture Sequence Puzzle

In the given figure, you can see that there are four circles numbered from 1 to 4. In the fourth circle, a digit is missing. Can you find out a relation and tell which number will suffice the pattern?

Picture Sequence Puzzle

The number will be 30.

1. (5 + 4) * 2 = 18
2. (12 + 8) * 3 = 60
3. (3 + 9) * 4 = 48
4. (4 + 2) * 5 = 30

#1578 - Hardest Counting Squares Puzzle

A network of 20 x 10 squares is given to you.

Can you calculate how many unique squares and rectangles can be formed combining two or more individual squares ?

11550

Total number of rectangles and squares will be equal to: (Summation of row numbers) * (Summation of column numbers)
= (1 + 2 + 3 +......+ 19 + 20) * (1 + 2 + 3 +......+ 9 + 10)
= 210 * 55
= 11550

#1579 - Find Number Of Days Problem

A few friends decided to go on a vacation to a resort. It was raining heavily and it kept raining for thirteen days.

When it rained in the morning, the afternoon was beautiful and when it rained in the afternoon, the day was blessed with a clear morning.

Overall, the friends experienced eleven nice mornings and twelve nice afternoons. Can you find out the number of days they spent in the vacations ?

18

Let us solve this question by denoting variables.

Nice afternoons = P
Nice mornings = Q
No rain = R

Now, the number of days with rain = P + Q = 13
Days with clear mornings = Q + R = 11
Days with clear afternoons = P + R = 12

If we solve these three equations, we will get:
P = 7
Q = 6
R = 5

The total number of days = P + Q + R = 18

#1580 - Read Word Tiger Picture Puzzle

In the given picture, in how many ways can you read the word "Tiger"?

Read Word Tiger Picture Puzzle

Tiger can be read in 60 ways in the given picture.

The easiest way to find out is to start with the T in the center and then move to an adjoining letter vertically or horizontally (not diagonally).