Question : Directions: Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term.
7 : 330 :: ? : 203 :: 9 : 716
Option 1: 14
Option 2: 16
Option 3: 6
Option 4: 4
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Correct Answer: 6
Solution :
Given:
7 : 330 :: ? : 203 :: 9 : 716
In the above-given pairs, subtract 13 from the cube of the first number to get the second number.
7 : 330→7
3
– 13 = 343 – 13 = 330
9 : 716→9
3
– 13 = 729 – 13 = 716
Let's check the options –
First option:
14; 14
3
– 13 = 2744 – 13 = 2731 ≠ 203
Second option:
16; 16
3
– 13 = 4096 – 13 = 4083 ≠ 203
Third option:
6; 6
3
– 13 = 216 – 13 = 203
Fourth option:
4; 4
3
– 13 = 64 – 13 = 51 ≠ 203
So, 6 is related to 203. Hence, the third option is correct.
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