HSPT Quantitative : Number Series*

Study concepts, example questions & explanations for HSPT Quantitative

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Example Questions

Example Question #91 : Number Series*

What number should come next in this series?

\(\displaystyle 56,28,14,7,\)___

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 4\)

\(\displaystyle 3.5\)

\(\displaystyle 4.5\)

Correct answer:

\(\displaystyle 3.5\)

Explanation:

The pattern is to divide by \(\displaystyle 2\) each time. The last operation is \(\displaystyle 7\div2=3.5\)

Example Question #92 : Number Series*

What number should come next in this series?

\(\displaystyle 62,57,47,42,32,27,\)__

Possible Answers:

\(\displaystyle 17\)

\(\displaystyle 22\)

\(\displaystyle 12\)

\(\displaystyle 37\)

Correct answer:

\(\displaystyle 17\)

Explanation:

The pattern is to subtract \(\displaystyle 5\), then subtract \(\displaystyle 10\). The last operation is \(\displaystyle 27-10=17\)

Example Question #93 : Number Series*

Waht number should come next in this series?

\(\displaystyle 1,3,9,27,33,99,\)___

Possible Answers:

\(\displaystyle 96\)

\(\displaystyle 103\)

\(\displaystyle 105\)

\(\displaystyle 106\)

Correct answer:

\(\displaystyle 105\)

Explanation:

The pattern is to multiply by \(\displaystyle 3\), then add \(\displaystyle 6\). The last operation is \(\displaystyle 99+6=105\)

Example Question #94 : Number Series*

What number should fill in the blank in this series?

\(\displaystyle 5,15,\)___\(\displaystyle ,135,405\)

Possible Answers:

\(\displaystyle 35\)

\(\displaystyle 30\)

\(\displaystyle 45\)

\(\displaystyle 25\)

Correct answer:

\(\displaystyle 45\)

Explanation:

The pattern is to multiply by \(\displaystyle 3\) each time. The operation before the blank is \(\displaystyle 15\cdot3=45\)

Example Question #95 : Number Series*

What number should fill in the blank in this series?

\(\displaystyle 2,.05,4,.05,8,.05,\)__\(\displaystyle ,.05\)

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 14\)

\(\displaystyle 12\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 16\)

Explanation:

The pattern for this series is to multiply by \(\displaystyle 2\) each time:

\(\displaystyle 2,4,8,\)

But then the number \(\displaystyle .05\) is inserted in between each element. Ignore these to see the pattern.

The last operation is \(\displaystyle 8\cdot2=16\)

Example Question #96 : Number Series*

What number should come next in this series?

\(\displaystyle 46,39,32,\)___\(\displaystyle ,18\)

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 25\)

\(\displaystyle 24\)

\(\displaystyle 21\)

Correct answer:

\(\displaystyle 25\)

Explanation:

The pattern is to subtract \(\displaystyle 7\) each time. The operation before the blank is \(\displaystyle 32-7=25\)

Example Question #97 : Number Series*

What number should come next in this series?

\(\displaystyle 144,72,60,30,18,\)__

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 6\)

\(\displaystyle 13\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

The pattern is to divide by \(\displaystyle 2\), then subtract \(\displaystyle 12\). The last operation is \(\displaystyle 18\div2=9\).

Example Question #98 : Number Series*

What number should come next in this series?

\(\displaystyle -.31,.62,-1.24,2.48,\)

Possible Answers:

\(\displaystyle 4.96\)

\(\displaystyle 4.02\)

\(\displaystyle -4.02\)

\(\displaystyle -4.96\)

Correct answer:

\(\displaystyle -4.96\)

Explanation:

The pattern is to multiply by \(\displaystyle -2\) each time. The last operation is \(\displaystyle 2.48\cdot-2=-4.96\)

Example Question #99 : Number Series*

What number should come next in this series?

\(\displaystyle 5,37,69,101,\)___

Possible Answers:

\(\displaystyle 134\)

\(\displaystyle 145\)

\(\displaystyle 126\)

\(\displaystyle 133\)

Correct answer:

\(\displaystyle 133\)

Explanation:

The pattern is to add \(\displaystyle 32\) each time. The last operation is \(\displaystyle 101+32=133\).

Example Question #100 : Number Series*

What number should come next in this series?

\(\displaystyle 14,15.5,17,18.5,\)___

Possible Answers:

\(\displaystyle 19\)

\(\displaystyle 20\)

\(\displaystyle 20.5\)

\(\displaystyle 19.5\)

Correct answer:

\(\displaystyle 20\)

Explanation:

The pattern is to add \(\displaystyle 1.5\) each time. The last operation is \(\displaystyle 18.5+1.5=20\)

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