Words in the Direction of Compass

Place all the words listed below in the grid. Each word goes in the direction of a compass point, is in a straight line and starts and finishes in one of the shaded squares.

source: The Great IQ Challenge

Answer:

Number and Kind of Bills

John buys a used car for $2,000 (no tax). He pays in cash as a certain number of $1 bills, 15 times as many $5 bills, and a certain number of $10 bills and 3 times as many $100 bills. How many bills of each kind does John pay for the car?

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Answer:


10 $1 bills, 150 $5 bills, 4 $10 bills, and 12 $100 bills.

(10 * 1) + (150 * 5) + (4 * 10) + (12 * 100) = 10 + 750 + 40 + 1200 = 2000 

Rotation of Pinion P4

The pinions P1, P2, P3, and P4 have 18, 22, 10, and 30 teeth respectively. If pinion P1 rotates 5 times how many times will pinion P4 rotate?

Answer: 3

(5 * 18) / 30 = 3

Odd Year!

Which year does not confirm with the others?

1958

1955

1865

1856

Answer: 1958

1958 >>> 1 + 9 + 5 + 8 = 23

where:

1955 >>> 1 + 9 + 5 + 5 = 20

1865 >>> 1 + 8 + 6 + 5 = 20

1856 >>> 1 + 8 + 5 + 6 = 20

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").

Identify the Next Domino

Identify the next domino in the following sequence:

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Answer:

m (+5)            >>> r
68 - (5) * 4      >>> 48
r - 48 == 18 - 48 >>> -30

Five Card Trick

A mathematician asks a volunteer to give him five cards drawn from a pack of fifty-two. He hands one card back to the volunteer and arranges the remaining four in some sequence he chooses. He then hands the sequence to a second volunteer and leaves the room. His assistant enters. The assistant asks the second volunteer to read out aloud the sequence handed to him. The assistant ponders a little and correctly announces the identity of the card held by the first volunteer. How could this be done? In general, how large a deck of cards can be handled if n cards are drawn initially?

Solution: Click here for the solution!

X and Y

Two numbers are such that if the first gets 24 from the second they will be in the ratio 2 to 1, but if the second receives 33 from the first, their ratio will be 1 to 5. What are these two numbers?

Answer: 52 and 62

What are the four numbers?

The sums of four numbers, omitting each of the numbers in turn, are 27, 23, 21 and 19. What are the four numbers?

Answer: 3, 7, 9, and 11
7 + 9 + 11 = 27
3 + 9 + 11 = 23
3 + 7 + 11 = 21
3 + 7 + 9 = 19

Replace the question mark!

Which of the boxes should be used to replace the question mark?

Answer: A