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HSPT Quantitative : HSPT Quantitative Skills

Study concepts, example questions & explanations for HSPT Quantitative

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6 Diagnostic Tests 55 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #176 : How To Work With Number Series

Which number should come next in the sequence?

9.1, 8.5, 5.8, 5.2, 2.5, _______

Possible Answers:

1.5 $\displaystyle 1.5$

1.6 $\displaystyle 1.6$

1.3 $\displaystyle 1.3$

2.0 $\displaystyle 2.0$

1.9 $\displaystyle 1.9$

Correct answer:

1.9 $\displaystyle 1.9$

Explanation:

The pattern is to subtract .6 and then invert the next number. (To invert a number, you merely reverse the digits.)

$\displaystyle 9.1 - 0.6 = 8.5$

5.8 is the inverse of 8.5

$\displaystyle 5.8 - 0.6 = 5.2$

2.5 is the inverse of 5.2

$\displaystyle 2.5 - 0.6 = 1.9$

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Example Question #173 : How To Work With Number Series

What number should be next in the sequence?

111, 107, 103, 100, 99, 95, 91, 100, 87, _______

Possible Answers:

$\displaystyle 92$

$\displaystyle 74$

$\displaystyle 83$

$\displaystyle 79$

$\displaystyle 80$

Correct answer:

$\displaystyle 83$

Explanation:

The pattern is to subtract 4.

The number 100 appears every 4th number in the regular pattern.

If we ignore the number 100, the last operation should be:

$\displaystyle 87 - 4 = 83$

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Example Question #174 : How To Work With Number Series

Which number should be next in the sequence?

791, 778, 765, 752, 739, _______

Possible Answers:

737 $\displaystyle 737$

724 $\displaystyle 724$

721 $\displaystyle 721$

726 $\displaystyle 726$

733 $\displaystyle 733$

Correct answer:

726 $\displaystyle 726$

Explanation:

The pattern is to subtract 13 from each number.

$\displaystyle 739 - 13 = 726$

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Example Question #179 : How To Work With Number Series

Which number should be next in the sequence?

47, 104, 72, 129, 97, _______

Possible Answers:

$\displaystyle 40$

$\displaystyle 72$

154 $\displaystyle 154$

134 $\displaystyle 134$

$\displaystyle 65$

Correct answer:

154 $\displaystyle 154$

Explanation:

The pattern is add 57, then subtract 32.

$\displaystyle 47 + 57 = 104$

$\displaystyle 104 - 32 = 72$

$\displaystyle 72 + 57 = 129$

$\displaystyle 129 - 32 = 97$

$\displaystyle 97 + 57 = 154$

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Example Question #175 : How To Work With Number Series

Which number should come next in the sequence?

109, 113, 127, 131, 137, _______

Possible Answers:

168 $\displaystyle 168$

142 $\displaystyle 142$

139 $\displaystyle 139$

153 $\displaystyle 153$

156 $\displaystyle 156$

Correct answer:

139 $\displaystyle 139$

Explanation:

This sequence is simply a list, in order, of prime numbers beginning with 109.

A prime number is a number which can only be divided evenly by itself and 1.

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Example Question #321 : Hspt Quantitative Skills

Which number should come next in the sequence?

8, 56, 47, 329, 320, _______

Possible Answers:

3,109 $\displaystyle 3,109$

311 $\displaystyle 311$

2,240 $\displaystyle 2,240$

947 $\displaystyle 947$

2,402 $\displaystyle 2,402$

Correct answer:

2,240 $\displaystyle 2,240$

Explanation:

The pattern is to multiply by 7, then subtract 9.

$8 \cdot 7 = 56$ $\displaystyle 8 \cdot 7 = 56$

$\displaystyle 56 - 9 = 47$

$47 \cdot 7 = 329$ $\displaystyle 47 \cdot 7 = 329$

$\displaystyle 329 - 9 = 320$

$320 \cdot 7 = 2240$ $\displaystyle 320 \cdot 7 = 2240$

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Example Question #322 : Hspt Quantitative Skills

Which number should come next in the sequence?

84, 42, 252, 126, 756, ______

Possible Answers:

189 $\displaystyle 189$

427 $\displaystyle 427$

378 $\displaystyle 378$

252 $\displaystyle 252$

779 $\displaystyle 779$

Correct answer:

378 $\displaystyle 378$

Explanation:

The pattern is divide by 2 then multiply by 6.

$\frac{84}{2} = 42$ $\displaystyle \frac{84}{2} = 42$

$42 \cdot 6 = 252$ $\displaystyle 42 \cdot 6 = 252$

$\frac{252}{2} = 126$ $\displaystyle \frac{252}{2} = 126$

$126 \cdot 6 = 756$ $\displaystyle 126 \cdot 6 = 756$

$\frac{756}{2} = 378$ $\displaystyle \frac{756}{2} = 378$

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Example Question #323 : Hspt Quantitative Skills

Which number should come next in the sequence?

7, 7, 14, 42, 168, 840, _________

Possible Answers:

942 $\displaystyle 942$

5,040 $\displaystyle 5,040$

1,222 $\displaystyle 1,222$

2,790 $\displaystyle 2,790$

3,342 $\displaystyle 3,342$

Correct answer:

5,040 $\displaystyle 5,040$

Explanation:

Each number in this sequence is multiplied by one more than the number before it.

$7 \cdot 1 = 7$ $\displaystyle 7 \cdot 1 = 7$

$7 \cdot 2 = 14$ $\displaystyle 7 \cdot 2 = 14$

$14 \cdot 3 = 42$ $\displaystyle 14 \cdot 3 = 42$

$42 \cdot 4 = 168$ $\displaystyle 42 \cdot 4 = 168$

$168 \cdot 5 = 840$ $\displaystyle 168 \cdot 5 = 840$

$840 \cdot 6 = 5040$ $\displaystyle 840 \cdot 6 = 5040$

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Example Question #324 : Hspt Quantitative Skills

What number should come next in this series?

$\displaystyle 15,45,90,270,540,$ _____

Possible Answers:

1620 $\displaystyle 1620$

1080 $\displaystyle 1080$

940 $\displaystyle 940$

720 $\displaystyle 720$

Correct answer:

1620 $\displaystyle 1620$

Explanation:

The pattern is to multiply by $\displaystyle 3$ and then to multiply by $\displaystyle 2$ .

The last operation is $540\cdot3=1620$ $\displaystyle 540\cdot3=1620$ .

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Example Question #325 : Hspt Quantitative Skills

What number should come next in this series?

$\displaystyle 162,54,18,6,$ ____

Possible Answers:

$\displaystyle -12$

$\displaystyle -2$

$\displaystyle 2$

$\displaystyle 1$

Correct answer:

$\displaystyle 2$

Explanation:

The pattern is to divide by three each time. For the last operation, $6\div3=2$ $\displaystyle 6\div3=2$ .

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All HSPT Quantitative Resources

6 Diagnostic Tests 55 Practice Tests Question of the Day Flashcards Learn by Concept

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HSPT Quantitative : HSPT Quantitative Skills

Study concepts, example questions & explanations for HSPT Quantitative

All HSPT Quantitative Resources

Example Questions

Example Question #176 : How To Work With Number Series

Example Question #173 : How To Work With Number Series

Example Question #174 : How To Work With Number Series

Example Question #179 : How To Work With Number Series

Example Question #175 : How To Work With Number Series

Example Question #321 : Hspt Quantitative Skills

Example Question #322 : Hspt Quantitative Skills

Example Question #323 : Hspt Quantitative Skills

Example Question #324 : Hspt Quantitative Skills

Example Question #325 : Hspt Quantitative Skills

All HSPT Quantitative Resources

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