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Integers

If 1 × 2 = ...

Question

If 1 $\times$ 2 = 32; 4 $\times$ 3 = 712; 4 $\times$ 7 = 1128 then 5 $\times$ 1 = ?

A

63

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B

64

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C

65

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D

66

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E

76

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Solution

The correct option is C 65
The rule is: a $\times$ b = (a + b)(ab)
$∴$ 1 $\times$ 2 = (1 + 2)(1 $\times$ 2) = 32 etc.
$\Rightarrow$ 5 $\times$ 1 = (5 + 1) (5 $\times$ 1) = 65

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1 \times 2 = 32; 4 \times 3 = 712; 4 \times 7 = 1128

5 \times 1

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(e) (f)

(g) (h)

(i) (j)

(k) (l)

(m) (n)

\frac{1 \times 2^{2} + 2 \times 3^{2} + 3 \times 4^{2} + \dots + n (n + 1)^{2}}{1^{2} \times 2 + 2^{2} \times 3 + 3^{2} \times 4 + \dots + n^{2} (n + 1)} = \frac{8}{7}

n =

If $4^{2 x} = \frac{1}{32}, t h e n x i s$

If $4^{2 x} = \frac{1}{32}, t h e n x i s$

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