GATE Electrical 2019 | GA | Question: 3

Question

The missing number in the given sequence $343,1331,$_____$,4913$ is

• A. $3375$
• B. $2744$
• C. $2197$
• D. $4096$ 

Answer 1

$343, 1331, \_\_\_\_\_,4913$

$=7^{3},11^{3},\_\_\_\_ ,17^{3},$

$\because 7,11,17$ are prime numbers

$\Rightarrow 13^{3} = 2197$ should be the answer. ($\because$ 13 is also a prime number and is the only prime between $11$ and $17)$

Correct Answer: Option C

Comments

@Satbir edit:- 7,11,7 to 7,11,17

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Complete the series 8, 27, 125, 343, 1331, 2197, * , 6859 super set of this problem.......... its help to understand problem..........

Answer 2

Given number’s are cube root of following prime numbers:

• $\sqrt[3](343)=7$
• $\sqrt[3](1331)=11$
• $\sqrt[3](2197)=13$
• $\sqrt[3](4913)=17$

Or we can also write like this:

• $7^3=343$
• $11^3=1331$
• $13^3=2197$
• $17^3=4913$

Option C is correct.

Comments

 

Answer is " Cubes of prime numbers " ! 

Answer 3

Answer will be

C: 2197