Last Two Terms

What are the last two terms in these series?

Answer: H and 40

Note:

Z is the 26th letter >>> 26 * 5 = 130

26 - 3 = 23; W is the 23rd letter >>> 23 * 5 = 115

23 - 4 = 19; S is the 19th letter >>> 19 * 5 = 95

19 - 5 = 14; N is the 14th letter >>> 14 * 5 = 70

14 - 6 = 8; H is the 8th letter >>> 8 * 5 = 40

Missing a Letter

Which letter will complete this word?

Answer: U. The word is TUTELARY (tutelary: having the guardianship or charge of protecting a person or a thing; guardian; protecting; as, "tutelary goddesses").

Which number is the odd one out?

Which number is the odd one out?

7768 9678 4572 5261 5133 4638 6895

4638: in the other numbers the sum of the first two digits is equal to the sum of the second two digits, for example in  5133 we have 5+1 = 3+3.

How much money do Todd and Steve have?

Todd and Steve's money are such that if Todd receive $140 from Steve they will be in the ratio 5 to 1, but if Steve receives $64 from Todd, their ratio will be 1 to 2. How much money do Todd and Steve have in their pockets?

Answer:

Todd: $200

Steve: $208

What Number

What number should replace the question mark?

Answer:

7 [each number at the lower of sector is equal to sum of the 3 numbers in its opposite divided by 2; hence, (1+9+4)/2 = 7].

Two numbers are such that if the first gets 100 from the second they will be in the ratio 9 to 1, but if the second receives 36 from the first, their ratio will be 1 to 2. What are these two numbers?  

Answer:

116 and 124

Pulleys and Pinions

In the following figure, the diameter of pulley A is twice that of pulley B, and pinions C, D and E have 15, 5, and 10 teeth, respectively. If  pulley A rotates four times, how many times will pinion E rotate?

Pulleys and Pinions Puzzle

Answer:

12 times.
C rotates 8 times where it has 15 teeth (8 * 15). E has 10 teeth: (8 * 15) / 10 = 12.

6 Lots with the Same Shape

Can you divide the following area into 6 lots with the same shape?

 

 

Answer:

 

ABC Puzzle

Each of the small squares in the grid below contains either A, B or C. Every row, column and each of the two long diagonals has exactly two of each letter. To help you solve this problem, we have provided as many clues as we think you will need! Can you tell the letter in each square?

Across
1 The Bs are between the Cs.
2 The As are further left than the Bs.
3 The Bs are between the Cs.
4 The Cs are between the As.
5 Each B is directly next to and right of an A.

Down
2 The As are between the Bs.
3 The As are higher than the Bs.
4 Each C is directly next to and below an A.
6 Each C is directly next to and below a B.

Answer:

Sports Fans

Alex, Ryan, and Steven are sports fans. Each has a different favorite sport among football, baseball, and basketball. Alex does not like basketball; Steven does not like basketball or baseball. Name each person's favorite sport.

Answer:

 It might be helpful to set up a grid as follows: We can see that Ryan must like basketball since neither Alex nor Steven does. Steven does not like basketball or baseball, so he must like football, leaving Alex liking baseball.

Shields

Answer:

D; so that one dot is in the small circle only and the other dot is in the circle with the line above it.

Which set of circles comes next?

Answer:

D: the single larger circles are getting smaller.The smaller circles in between are increasing in number by one each time and getting larger from the bottom.

Gossip

Mrs Gossip was telling her friends the latest. The woman at 5 or 9 had run off with the milkman; the couple at 5, 7 or 11 were holding a pyjama party, but without the pyjamas; the skinhead at 5, 7 or 9 had assaulted the vicar; and the hippy at 9 or 11 was high again (in fact, he was sitting on the roof). They live in separate houses and the couple live next door to the hippy. What numbers do they occupy?

Answer:

The woman is at 5, the skinhead at 7, the hippy at 9, and the couple at 11.

Which tile is missing?

Which tile is missing?

ANSWER

In each row and column, every ring is shaded black once.

How Much Tip

Of the 960 people in a theater, 17% tipped 5 cents to the usher, 50% of the remaining 83% tipped 10 cents, and the rest tipped nothing. How much did the usher get?

Reference: Quick-to-Solve Brainteasers, J.J. Mendoza Fernandez




Answer:
If half of the 83% tip the usher 10 cents and the other half doesn't, it is the same as if all 83% had tipped him 5 cents, which is the same amount as what the remaining 17% tipped. The usher received 4,800 cents, or more simply, 48 dollars.

Can you spot it?

Mrs. Wilson has opened the shutters to let in fresh air through the window. The artist has made a
curious mistake. Can you spot it?

Answer:

Slats slant opposite ways on opposite sides of a shutter. In this picture, the slats slant the same way on both sides.

The Secretary's Daughter

A woman went to visit her bank manager and she took her young daughter with her. The bank manager said that the woman's daughter could stay with his secretary during the meeting. When the woman and her daughter left, the secretary turned to another secretary and said to her, "That little girl was my daughter." How could that be?

Answer:
This does not involve adoptions, step-parents, in-laws, or grandparents. The little girl was the secretary's daughter and she was the daughter of the woman who visited the bank manager.
The secretary was the girl's father.

3 Squares with 9 Matchsticks

Can you make 3 squares with 9 matchsticks?

Answer:

Duplicate in 15 Seconds!

In the following box, one of the figures appears twice. You have 15 seconds to find it!

Answer:

Divide Flowers!

Can you divide the following figure by two straight lines so that there would be four pieces and each piece with 6 flowers!

Answer: