Latest Logic Riddles

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

Let us simplify boxes by naming them from 1 to 10.
Now the trick here is to pick different number of balls from different boxes. So to simplify things, we will pick balls corresponding to box number.

Thus, pick 1 ball from Box 1, 2 balls from box 2, 3 balls from box 3 and so on. You will have 55 balls altogether. Now, put them all in the balance.

If all balls were weighing accurate 10 grams, the total weight of the 55 balls would have been 550 grams. But one of the box must have had the defective balls.

Suppose if the defective balls were in box number 2, then the total weight will be 2 grams less than 550. If the defective balls were in box 8, the total weight will be less than 8 grams from 550. In this way, you will be able to identify which box has the defective balls.

Following are the three errors:
a) They (it should be There)
b) errirs (it should be spelled errors)
c) The question asks for three errors however there are only two.

The suspicion was natural. If the man thought the room was his, he would have tried the keys and not knocked on the door.

There can be two cases in this situation. Either Billy and Cyrus have same colored hats or they have different colored hats.

Suppose if Billy and Cyrus have same colored hats. Adam will see that and he will know that his color is different from them both. So he will speak up first.

If Billy and Cyrus have different colored hats, he will not be able to deduce the color of his hat. Now when Billy notices that Adam is silent, he will know that this is because he and Cyrus have different colored hats. Thus he will speak up first and his color will be different than Cyrus

The answer is
(15 - 9) + (13 - 7) + (7 - 1) + (9 - 1) + (13 - 9)

If you calculate it, you will get
6 + 6 + 6 + 8 + 4 = 30

23 presents were opened by Andrew.
The last letter of Alex is X and it stands of the 24th number of the alphabets.
The last letter of Jonah is H and it stands of the 8th number of the alphabets.
The last letter of Clara is A and it stands of the 1st number of the alphabets.

Similarly W = 23

73rd

There is a simple logic behind solving this question. If the number of people are a power of 2, then the last person standing will be the person who started it.
Now, here we have 100 people. Thus, we will take the highest power of 2 which is less than the total number which is 64.
100 - 64 = 36.
This means that 36 people are killed.
If you go on with the series of even numbers, the 36 people will end at 72 (2, 4, 6, ..., 72). Thus the gun will be in the hand of 73rd person. Now the remaining people are 64 which is the power of 2. Thus the person who will survive in the end will be the 73rd person since he is starting it.

He was able to deduce that after noticing that all the windows in the direction of the body on all the floors were closed. If the man had committed suicide, one window must have been left open.

As you can see in the picture, we have lifted the bottom three matches and placed them inside the middle squares vertically (pink ones). We now have six identical squares.