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Range of Quadratic Expression

9 : 8 : : 16 ...

Question

9 : 8 : : 16 : ?

A

27

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B

18

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C

17

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D

14

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Solution

The correct option is A 27
The relationship is $x^{1} : (x - 1)^{+} 1$ .
Now, $16 = 4^{2}$ .
So, required number $= (41)^{2 + 1} = 3^{3} = 27.$

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Similar questions

Q. Simplify:

(i)(−8) × 9 + (−8) × 7
(ii) 9 × (−13) + 9 × (−7)
(iii) 20 × (−16) + 20 × 14
(iv) (−16) × (−15) + (−16) × (−5)
(v) (−11) × (−15) + (−11) × (−25)
(vi) 10 × (−12) + 5 × (−12)
(vii) (−16) × (−8) + (−4) × (−8)
(viii) (−26) × 72 + (−26) × 28

Q. Subtract:

(8) 16 − (−9)

Q. 1, 1, 4, 8, 9, 27, 16, ?

\frac{9}{16}

\frac{5}{8}

Q. Mark whether true or false.
(a) 8 (7 + 3) = 8 × 7 + 8 × 3 ____
(b) 12 (16 + 4) = 12 × 16 + 12 × 4 ____
(c) 14 (5 + 2) = 14 × 5 + 14 × 2 ____
(d) 9 (8 − 3) = 9 × 8 − 9 × 3 ____

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