In the following puzzle, starting from any letter, trace out a 14-letter English word by going along the lines without crossing any letter more than once.
Answer:
Administration
Answer:
Administration
Saturday, February 25, 2012
Missing 4 Letters
Complete each set of blanks with the same four letters to make two English words.
O _ E _ _ T _
U _ G _ _ D _
ANSWER:
Letters:
P, R, A, and E
Words:
OPERATE
UPGRADE
O _ E _ _ T _
U _ G _ _ D _
ANSWER:
Letters:
P, R, A, and E
Words:
OPERATE
UPGRADE
Added or Multiplied
What number gives the same amount as it is added to 11 and as it is multiplied by 11?
ANSWER:
1.1
Numbers Represented by Letters
Each of the six letters below stands for one of the numbers from one to nine, and no letter stands for more than one number. Using the following four clues, can you find out the number represented by each letter?
Clues:
M is the largest number in the top row across.
The value of Q is 9.
Each row across totals 12.
The middle column down totals twice the value of either of the two outside columns.
ANSWER:
M = 5, N = 3, O = 4, P = 1, Q = 9, and R = 2.
Clues:
M is the largest number in the top row across.
The value of Q is 9.
Each row across totals 12.
The middle column down totals twice the value of either of the two outside columns.
ANSWER:
M = 5, N = 3, O = 4, P = 1, Q = 9, and R = 2.
Complete Pattern
What numbers do complete this pattern?
1 3 5 0 6 ? ? 9 7 8 6 0 5 3 1
ANSWER:
87; the entire pattern is a palindrome.
1 3 5 0 6 ? ? 9 7 8 6 0 5 3 1
ANSWER:
87; the entire pattern is a palindrome.
Word in Grid!
Start from any letter, trace out an eleven-letter word by going along the grid lines without crossing any joints more than once!
 |
| Word in Grid! |
ANSWER: Accelerator
Sunday, February 19, 2012
Divisibles!
Concatenate any 3-digit number with itself; e.g. for 835 it would be 835835. Divide it by 7.
The remainder will be zero!
Example: For 235, you would have 235235; where 235235 divided by 7 will be 33605 with 0 as the remainder.
Now, divide the quotient by 11. The remainder will be zero!
For the above example, 33605 divided by 11 will be 3055 with 0 as the remainder!
Again, divide the new quotient by 13. The remainder will be zero!
In the example, 3055 divided by 13 will be 235 and the remainder will be 0. Note that 235 is the original number of this example!
In summary:
235
235235 (concatenated by itself)
235235 / 7 = 33605 (remainder is zero)
33605 / 11 = 3055 (remainder is zero)
3055 / 13 = 235 (remainder is zero and 235 is the original number)
Another example; take 743 then:
743
743743 (concatenated by itself)
743743 / 7 = 106249 (remainder is zero)
106249 / 11 = 9659 (remainder is zero)
9659 / 13 = 743 (remainder is zero and 743 is the original number)
The reason is:
7 * 11 * 13 = 1001
and multiplying 1001 by any 3-digit number will be like concatenating it with itself; e.g. 100 * 1001 = 100100, or 532 * 1001 = 532532.
Hence, any number obtained by concatenating a 3-digit number with itself can be divided by 1001 and as 1001 is equal to 7 * 11 * 13, it can be divided by 7, 11, and 13.
By knowing the above fact, in a minute, out of the followings, find four numbers which are divisible by 13!
a) 713700
b) 845548
c) 145158
d) 987978
e) 426526
f) 469456
g) 363350
Scroll down to see the answer!
Answer:
a, c, f and g.
a) 713700 (as 713700 + 13 = 713713; 713713 / 13 = 54901, so:713700 / 13 = 54900)
c) 145158 (145158 – 13 = 145145)
f) 469456 (469456 + 13 = 469469)
g) 363350 (363350 + 13 = 363363)
The remainder will be zero!
Example: For 235, you would have 235235; where 235235 divided by 7 will be 33605 with 0 as the remainder.
Now, divide the quotient by 11. The remainder will be zero!
For the above example, 33605 divided by 11 will be 3055 with 0 as the remainder!
Again, divide the new quotient by 13. The remainder will be zero!
In the example, 3055 divided by 13 will be 235 and the remainder will be 0. Note that 235 is the original number of this example!
In summary:
235
235235 (concatenated by itself)
235235 / 7 = 33605 (remainder is zero)
33605 / 11 = 3055 (remainder is zero)
3055 / 13 = 235 (remainder is zero and 235 is the original number)
Another example; take 743 then:
743
743743 (concatenated by itself)
743743 / 7 = 106249 (remainder is zero)
106249 / 11 = 9659 (remainder is zero)
9659 / 13 = 743 (remainder is zero and 743 is the original number)
The reason is:
7 * 11 * 13 = 1001
and multiplying 1001 by any 3-digit number will be like concatenating it with itself; e.g. 100 * 1001 = 100100, or 532 * 1001 = 532532.
Hence, any number obtained by concatenating a 3-digit number with itself can be divided by 1001 and as 1001 is equal to 7 * 11 * 13, it can be divided by 7, 11, and 13.
By knowing the above fact, in a minute, out of the followings, find four numbers which are divisible by 13!
a) 713700
b) 845548
c) 145158
d) 987978
e) 426526
f) 469456
g) 363350
Scroll down to see the answer!
Answer:
a, c, f and g.
a) 713700 (as 713700 + 13 = 713713; 713713 / 13 = 54901, so:713700 / 13 = 54900)
c) 145158 (145158 – 13 = 145145)
f) 469456 (469456 + 13 = 469469)
g) 363350 (363350 + 13 = 363363)
Unscramble Bird Names
When the scrambled bird names listed below are unscrambled and placed along the horizontal rows, the letters in the dark boxes will spell out another bird name!
1. ORCNOD
2. LWLDAGA
3. DIRFRBUS
4. TRARSTED
5. IHCEWRDOT
6. OLNLOISBP
7. TTHHNAUC
8. HLOREVES
Scroll down to see the answer!
Answer:
1. Condor
2. Gadwall
3. Surfbird
4. Redstart
5. Dowitcher
6. Spoonbill
7. Nuthatch
8. Shoveler
1. ORCNOD
2. LWLDAGA
3. DIRFRBUS
4. TRARSTED
5. IHCEWRDOT
6. OLNLOISBP
7. TTHHNAUC
8. HLOREVES
Scroll down to see the answer!
Answer:
1. Condor
2. Gadwall
3. Surfbird
4. Redstart
5. Dowitcher
6. Spoonbill
7. Nuthatch
8. Shoveler
The dark boxes spell out “cardinal”.
Five 6-Letter Words
Place the following 20 letters in the star to form five 6-letter words all starting with M!
Scroll down to see the answer!
Answer:
- Mother
- Moment
- Medium
- Master
- Mental
Scroll down to see the answer!
Answer:
- Mother
- Moment
- Medium
- Master
- Mental
Saturday, February 18, 2012
One-Third Probability by One Coin
At a restaurant, how can John choose one out of three desserts with equal probability with the help of one coin?
Scroll down to see the answer!
Answer:
He tosses the coin twice; where he supposes HT, TT and TT correspond to his three choices and if HH he repeats.
Scroll down to see the answer!
Answer:
He tosses the coin twice; where he supposes HT, TT and TT correspond to his three choices and if HH he repeats.
Friday, February 17, 2012
Finding Non-Adjacent Areas
In this figure, try to find 8 areas that are not adjacent neither by edges nor by corners!
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Answer:
Scroll down to see the answer!
Answer:
Replace the question mark!
Which figure should replace the question mark?
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Answer:
No. 5
Answer:
No. 5
Square Series
Which square continues this series?
Scroll down to see the answer!
Answer:
B
In the first square:
4 + (4-1) -> 7
7 + (4) -> 11
11 + (4+1) -> 16
Same procedure can be found in the second and third squares. And mong the squares A to F, only Square B follows this procedure.
Scroll down to see the answer!
Answer:
B
In the first square:
4 + (4-1) -> 7
7 + (4) -> 11
11 + (4+1) -> 16
Same procedure can be found in the second and third squares. And mong the squares A to F, only Square B follows this procedure.
Discover the Connection
In the following figure, discover the connection between the letters and the numbers, and then identify which number should replace the question mark!
Scroll down to see the answer!
Answer:
55
Each number is connected to 1 plus the alphabetical order of the letter multiplied by 2.
Example: M -> 1 + [(13) * 2] = 27, where M is the letter 13 of the English alphabet.
Scroll down to see the answer!
Answer:
55
Each number is connected to 1 plus the alphabetical order of the letter multiplied by 2.
Example: M -> 1 + [(13) * 2] = 27, where M is the letter 13 of the English alphabet.
Saturday, February 11, 2012
Replace the question mark!
Which of the boxes should be used to replace the question mark?
Scroll down to see the answer!
Answer: A
Scroll down to see the answer!
Answer: A
What are the four numbers?
The totals of four numbers, omitting each of the numbers in turn, are 27, 23, 21 and 19. What are the four numbers?
Scroll down to see the answer!
Answer:
3, 7, 9, and 11
7 + 9 + 11 = 27
3 + 9 + 11 = 23
3 + 7 + 11 = 21
3 + 7 + 9 = 19
Scroll down to see the answer!
Answer:
3, 7, 9, and 11
7 + 9 + 11 = 27
3 + 9 + 11 = 23
3 + 7 + 11 = 21
3 + 7 + 9 = 19
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?
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Answer:
52 and 62
Scroll down to see the answer!
Answer:
52 and 62
Missing a Letter
Which letter will complete this word?
Scroll down to see the answer!
Answer:
U. The word is TUTELARY (tutelary: having the guardianship or charge of protecting a person or a thing; guardian; protecting; as, "tutelary goddesses").
Scroll down to see the answer!
Answer:
U. The word is TUTELARY (tutelary: having the guardianship or charge of protecting a person or a thing; guardian; protecting; as, "tutelary goddesses").
Last Two Terms
What are the last two terms in these series?
Scroll down to see the answer!
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
Odd Year!
Which year does not confirm with the others?
1958
1955
1865
1856
Scroll down to see the answer!
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
1958
1955
1865
1856
Scroll down to see the answer!
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
Rotation of Pinions
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?
Scroll down to see the answer!
Answer:
(5 * 18) / 30 = 3
Scroll down to see the answer!
Answer:
(5 * 18) / 30 = 3
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.
Scroll down to see the answer!
Answer:
source: The Great IQ Challenge
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Answer:
Sunday, February 5, 2012
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
Scroll down to see the answer!
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
Odd Clock
Which clock is the odd one out?
reference: IQ Brainteasers by Norman Sullivan
Scroll down to see the answer!
Answer:
C
VIII has taken place of VII.
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Answer:
C
VIII has taken place of VII.
John's Age
If John gets 5 years older the square of his age is increased by 185. How old is john now?
Scroll down to see the answer!
Answer:
16 years old
x is John's age:
x ^ 2 + 185 = (x + 5) ^ 2
x ^ 2 + 185 = x ^ 2 + 25 + 10x
185 - 25 = 10x
160 = 10x
x = 16
Scroll down to see the answer!
Answer:
16 years old
x is John's age:
x ^ 2 + 185 = (x + 5) ^ 2
x ^ 2 + 185 = x ^ 2 + 25 + 10x
185 - 25 = 10x
160 = 10x
x = 16
Numeric Target!
On this target, get a total of 200 points with seven arrows!
Scroll down to see the answer!
Answer:
99 + 36 + 17 + 14 + 13 + 11 + 10 = 200
Scroll down to see the answer!
Answer:
99 + 36 + 17 + 14 + 13 + 11 + 10 = 200
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