## Brain Teasers | 22 Mensa puzzles

(1)

If
2   +   3   =   10
7   +   2   =   63
6   +   5   =   66
8   +   4   =   96

Then, what is:

9   +   7   =   ?

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(2)

Fill in the missing number

D           J           B            C           G
—-      —–      —–        ——      ——
12        30         ?            9           21

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(3)

What is the word coiled inside this circle?

N  G
O              E
R              R
T   S

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(4)

Sally likes 225 but not 224; she likes 900 but not 800; she likes 144 but not 145.
Which does she like – 1600 or 1700?

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(5)

If you count from 1 to 100, how many 7’s will you pass on the way?

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(6)

If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?

(a)    18:30
(b)    20:00
(c)    21:00
(d)    22:00
(e)    23:30

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(7)

Following the pattern shown in the number sequence below, what is the missing number?

1    8    27    ?    125    216

(a)    36
(b)    45
(c)    46
(d)    64
(e)    99

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(8)

Fill in the missing number:

0,    1,    1,    2,    3,    5,    8,    13,    __,    34,    55

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(9)

Continue the following number series with the group of numbers below which best continues the series?

1    10    3    9    5    8    7    7    9    6    ?    ?

(a)    11    5
(b)    10    5
(c)    10    4
(d)    11    6

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(10)

What number is one half of one tenth of one fifth of one tenth of one thousand?

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(11)

Four years ago, Jane was twice as old as Sam. Four years on from now, Sam will be 3/4 of Jane’s age. How old is Jane now?

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(12)

What is the number that is one half of one quarter of one tenth of 400?

(a)    2
(b)    5
(c)    8
(d)    10
(e)    40

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(13)

If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes?

(a)    3
(b)    4
(c)    6
(d)    12
(e)    36

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(14)

There are 1200 elephants in a herd. Some have pink and green stripes, some are all pink and some are all blue. One third are pure pink. Is it true that 400 elephants are definitely blue?

(a)    Yes
(b)    No

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(15)

Two men, starting at the same point, walk in opposite directions for 4 meters, turn left and walk another 3 meters. What is the distance between them?

(a)    2m
(b)    6m
(c)    10m
(d)    12.5m
(e)    14m

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(16)

Which vowel comes midway between J and T?

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(17)

Which word of four letters can be added to the front of the following words to create other English words?

DATE    AGE    CARD    SCRIPT    MARK

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(18)

Only one other word can be made from all the letters of   INSATIABLE.
Can you find it?

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(19)

Which same three-letter word can be placed in front of the following words to make a new word?

SIGN,    DONE,    DUCT,    FOUND,    FIRM,    TRACT,    DENSE

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(20)

What is the following word when it is unscrambled?

H    C    P    R    A    A    T    E    U

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(21)

The same word can be added to the end of   GRASS   and the beginning of   SCAPE   to form two other English words. What is the word?

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(22)

Find all 6-digit numbers   685xyz   that are divisible by   111

math grad - Interest: Number theory
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### 14 Responses to Brain Teasers | 22 Mensa puzzles

1. angel says:

• benvitalis says:

I intend to put my answers in PDF files soon. I’ll let you know.

• dearsina says:

Any updated on that PDF? 🙂

• benvitalis says:

Oh, sorry. I forgot. I’ll do it as soon as possible

2. laura says:

that was fun – thanks!

3. David @InfinitelyManic says:

Re 22 – Find all 6-digit numbers 685xyz that are divisible by 111

ghci> mapM_ print [ concatList [685,x] | x<-[100..999], (mod (concatList [685,x]) 111) == 0]
685203
685314
685425
685536
685647
685758
685869
685980

• Neil Howes says:

and 685092?

• David @InfinitelyManic says:

Took me a year to see this. Lol…
My original coding error was in the list x<-[100..999]; which inadvertently excluded 685092. Thanks!

Yes
685092 0
685203 0
685314 0
685425 0
685536 0
685647 0
685758 0
685869 0
685980 0

4. Sean says:

Where is the PDF posted?

• benvitalis says:
• Harro says:

@benvitalis: that’s an incorrect solution. he asked for the answers, not a book

• benvitalis says:

Ok. I’ll post some answers. Please give me a couple of days to organize this old file. Thanks