HSPT Quantitative : How to work with number series

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #225 : Hspt Quantitative Skills

What number should come next in this series?

\displaystyle 404,101,100,25,24,__

Possible Answers:

\displaystyle 8

\displaystyle 6

\displaystyle 4

\displaystyle 23

Correct answer:

\displaystyle 6

Explanation:

The pattern is to divide by \displaystyle 4, then subtract \displaystyle 1. The last operation is \displaystyle 24\div4=6

Example Question #226 : Hspt Quantitative Skills

What number should come next in this series?

\displaystyle 26, 52,55,110,113,226,__

Possible Answers:

\displaystyle 229

\displaystyle 193

\displaystyle 228

\displaystyle 196

Correct answer:

\displaystyle 229

Explanation:

The pattern for this series is to multiply by \displaystyle 2, then add \displaystyle 3. The last operation is \displaystyle 226+3=229

Example Question #83 : How To Work With Number Series

What number should come next in this series?

\displaystyle 14,2,16,4,18,8,20,__

Possible Answers:

\displaystyle 22

\displaystyle 16

\displaystyle 14

\displaystyle 10

Correct answer:

\displaystyle 16

Explanation:

There are two alternating patterns in this series. The first is to add \displaystyle 2 each time:

\displaystyle 14,16,18,20

The second is to multiply by \displaystyle 2 each time:

\displaystyle 2,4,8

The blank belongs to the second pattern. The last operation is \displaystyle 8\cdot2=16

Example Question #227 : Hspt Quantitative Skills

What number should come next in this series?

\displaystyle 93,89,85,81,__

Possible Answers:

\displaystyle 78

\displaystyle 76

\displaystyle 79

\displaystyle 77

Correct answer:

\displaystyle 77

Explanation:

The pattern is to subtract \displaystyle 4 each time. The last operation is \displaystyle 81-4=77

Example Question #228 : Hspt Quantitative Skills

What number should fill in the blank in this series:

\displaystyle 16,18,__,\displaystyle 38,76,78,156

Possible Answers:

\displaystyle 29

\displaystyle 36

\displaystyle 32

\displaystyle 24

Correct answer:

\displaystyle 36

Explanation:

The pattern is to add \displaystyle 2, then multiply by \displaystyle 2. The operation before the blank is \displaystyle 18\cdot2=36

Example Question #231 : Hspt Quantitative Skills

What number should come next in this series?

\displaystyle 1.25,1.55,1.85,2.15,___

Possible Answers:

\displaystyle 2.55

\displaystyle 2.65

\displaystyle 2.70

\displaystyle 2.45

Correct answer:

\displaystyle 2.45

Explanation:

The pattern is to add \displaystyle 0.3 each time. The last operation is \displaystyle 2.15+0.3=2.45

Example Question #87 : How To Work With Number Series

What number should come next in this series?

\displaystyle 1002,47,1003,46,1004,45,____

Possible Answers:

\displaystyle 44

\displaystyle 1002

\displaystyle 1005

\displaystyle 1003

Correct answer:

\displaystyle 1005

Explanation:

There are two alternating patterns in this series. The first is to add \displaystyle 1 each time:

\displaystyle 1002,1003,1004,

The second is to subtract \displaystyle 1 each time:

\displaystyle 47,46,45

The blank belongs in the first pattern. The last operation is \displaystyle 1004+1=1005

Example Question #232 : Hspt Quantitative Skills

What number should come next in this series?

\displaystyle 46,43,53,50,60,__

Possible Answers:

\displaystyle 57

\displaystyle 53

\displaystyle 63

\displaystyle 67

Correct answer:

\displaystyle 57

Explanation:

The pattern is to subtract \displaystyle 3, then add \displaystyle 10. The operation before the blank is \displaystyle 60-3=57

Example Question #233 : Hspt Quantitative Skills

What number should come next in this series?

\displaystyle 16, 24,36,54,___

Possible Answers:

\displaystyle 64

\displaystyle 72

\displaystyle 81

\displaystyle 84

Correct answer:

\displaystyle 81

Explanation:

The pattern is to multiply by \displaystyle 1.5 each time. The last operation is \displaystyle 54\cdot1.5=81

Example Question #234 : Hspt Quantitative Skills

What number should fill in the blank in this series?

\displaystyle 1095,1099,____\displaystyle ,1107,1111

Possible Answers:

\displaystyle 1104

\displaystyle 1103

\displaystyle 1193

\displaystyle 1003

Correct answer:

\displaystyle 1103

Explanation:

The pattern is to add \displaystyle 4 every time. The last operation before the blank is \displaystyle 1099+4=1103

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