Find x -235-479- x 8A- 70B- 35C- 64D- 18

The correct option is A 70(23)_5=(2 × 5^1 + 3 × 5^0)_10= (13)_10=(1 × 8^1 + 5 × 8^0)_8 =(15)_8 also, (47)_9 = (4 × 9^1 + 7 × 9^0)_10 =(43)_10 = (5 × 8^1 ...

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Quantitative Aptitude

Base Systems

Find x :235+4...

Question

Find x:
$(23)_{5} + (47)_{9} = (x)_{8}$

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Solution

The correct option is A 70
$(23)_{5} = (2 \times 5^{1} + 3 \times 5^{0})_{10} = (13)_{10} = (1 \times 8^{1} + 5 \times 8^{0})_{8} = (15)_{8} a l s o, (47)_{9} = (4 \times 9^{1} + 7 \times 9^{0})_{10} = (43)_{10} = (5 \times 8^{1} + 3 \times 8^{0})_{8} = (53)_{8} S u m = (13)_{10} + (43)_{10} = (56)_{10} \to (70)_{8}$

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Find x: (23)5+(47)9=(x)8

The correct option is A 70(23)5=(2×51+3×50)10=(13)10=(1×81+5×80)8=(15)8also, (47)9=(4×91+7×90)10=(43)10=(5×81+3×80)8=(53)8Sum=(13)10+(43)10=(56)10→(70)8

Find x:
$(23)_{5} + (47)_{9} = (x)_{8}$