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

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