11 : 1331 : : 9 : ?a)979b)991c)729d)829Correct answer is option 'C'. C...
Given, 11:1331::9:?
To find the missing term, we need to understand the given pattern. Here, 11 is the cube of 1+1=2, and 1331 is the cube of 11. Similarly, 9 is the square of 3, so the missing term should also be a square of a number.
Let's find the square of a number which is close to 99 (as the answer options are in the range of 700 to 900).
10^2=100
11^2=121
12^2=144
13^2=169
The square of 10 is too small, and the square of 13 is too large, so the missing term should be either 121 or 144.
To confirm, let's check the pattern again. 9 is the square of 3, so the missing term should also be a square of a number. And, 121 is the square of 11, which is the next number after 10, and we already know that 11 is related to 1331 in the same pattern. Therefore, the missing term should be 121.
Hence, the correct answer is option C) 729.
11 : 1331 : : 9 : ?a)979b)991c)729d)829Correct answer is option 'C'. C...
11 × 11^2 = 1331
9 × 9^2 = 729....