Question : Find the mean proportional between 32 and 162.
Option 1: 99
Option 2: 65
Option 3: 72
Option 4: 97
Correct Answer: 72
Solution : Let $a=32$ and $b=162$ We know that, Mean proportion = $\sqrt{ab}$ = $\sqrt{32\times162}$ = $\sqrt{2\times4\times4\times2\times9\times9}$ = $2\times4\times9$ = $72$ Hence, the correct answer is 72.
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Question : Find the fourth proportional to 0.48, 0.84, and 32.
Option 1: 65
Option 2: 34
Option 3: 56
Option 4: 43
Question : The ratio of the third proportional to 16 & 40 and the mean proportional between 10 & 40 is:
Option 1: 5 : 1
Option 2: 1 : 5
Option 3: 4 : 1
Option 4: 1 : 4
Question : The mean proportional between 0.03 and 0.0003 is:
Option 1: 0.0003
Option 2: 0.0013
Option 3: 0.003
Option 4: 0.033
Question : If (48 ÷ 72 × 3) – [15 ÷ 8 × (40 – 32) – 10] + 2P = 6 ÷ 2, then find the value of P?
Option 1: 3
Option 2: 4
Option 3: 2
Option 4: 1
Question : The mean proportional of 0.04 and 0.36 is:
Option 1: 0.144
Option 2: 1.2
Option 3: 12
Option 4: 0.12
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