IQ TEST: Math, Fractions, Series, Sequence, Military Time, Clock, Days of the week

By eternaltreasures

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1. What letter is three to the left of the letter that is immediately
to the right of the letter that is two to the left of the letter L?

A B C D E F G H I J K L M N O P Q R

solution:

start from the "inside" just like starting from the parentheses in math

two to the left of L ----> J

right of letter J ----> K

three to the left of K ----> H

2. What is the number that is one half of one quarter of one eighth of 448?

solution:

start from the "inside"

1/8 of 448 = 56

1/4 of 56 = 14

1/2 of 14 = 7

3. How many minutes is it before midnight if six tenth of an hour ago it
was twice as many minutes past 10 pm?

find:

x = minutes before midnight

given:

Total time from 10 pm to midnight ---> 120 minutes

t1 = 6/10 hr

unit analysis: hr * 60 min/hr

t1 = 6/10 * 60 = 36 minutes

solution:

TOTAL = sum of parts ---> working equation

substituting:

120 = x + 2x + 36

3x = 84

x = 84/3

x = 28 ---> answer

check:

28 minutes before midnight is 11:32 pm

36 minutes ago, the time is 10:56 pm

10:56 pm is 56 minutes after 10 pm

56 = twice of x

4. What time is it now if 2 hours later it would be half as long until 5 pm as it would be if it were an hour from now?

find:

x = time now

given:

5 pm ---> 17:00

solution:

17 - (x + 2) = 1/2 [17 - (x + 1)]

17 - x - 2 = 1/2 (17 - x - 1)

15 - x = 1/2 (16 - x)

15 - x = 8 - x/2

x/2 = 15 - 8

x = 14 ---> or 2 pm

5. a. What is the day today if the day before yesterday is 2 days after Friday? b. What is the day today if the day after tomorrow is 2 days before Saturday?

solution:

a.

put Friday first on the sequence, then start from the "inside"

FRIDAY sat SUNDAY mon TUESDAY wed THURSDAY fri SATURDAY

2 days after friday ---> sunday

sunday is the day before yesterday

monday is yesterday

TUESDAY = today ---> answer

b.

2 days before saturday ---> thursday

thursday is the day after tomorrow

wednesday is tomorrow

TUESDAY = today ---> answer

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