CFAT Practice Test Questions with Answers in PROBLEM SOLVING - ps029

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1. What comes after in the sequence below?

1/4, 3/10, 2/5, 3/5, 1,  ____

a. 1.8  --- answer 

b. 1.6

c. 1.4

d. 1.2

Solution 

multiply by 2 and subtract 0.2

1/4

(1/4) * 2 - 0.2

= 1/2 - 0.2

= 0.3

= 3/10

(3/10) * 2 - 0.2

= (6/10) - 0.2

= 0.6 - 0.2

= 0.4

= 4/10

= 2/5

(2/5) * 2 - 0.2

= (4/5) - 0.2

= 0.8 - 0.2

= 0.6

= 6/10

= 3/5

(3/5) * 2 - 0.2

= (0.6) * 2 - 0.2

= 1.2 - 0.2

= 1

1 * 2 - 0.2

= 2 - 0.2

= 1.8

2. What number completes the sequence below?

1, 2, 9, 64, ____, 7776

a. 526

b. 625  --- answer 

c. 256

d. 725

Solution 

raise the number to the exponent that is same as the number and then divide by the same number

do this pattern for the numbers 1, then 2, then 3...until 6

for the number 1:

= (1^1)/1

= 1/1

= 1

for the number 2:

= (2^2)/2

= 4/2

= 2

for the number 3:

= (3^3)/3

= (3*3*3)/3

= 27/3

= 9

for the number 4:

= (4^4)/4

= (4*4*4*4)/4

= 256/4

= 64

for the number 5:

= (5^5)/5

= 5*5*5*5*5/5

= 3125/5

= 625

for the number 6:

= (6^6)/6

= 6*6*6*6*6*6/6

= 46,656/6

= 7776

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