Question

If 1863 is to 27 and 8109 is to 91 and 2745 is to 35, then 7236 is to? Choose one and explain your reason: A = 99 B = 84 C = 18 D = 126 E = 82

Answer 1

To find the relationship between the given numbers, we need to examine the pattern of reverse quotients. Dividing 7236 by 46 results in 157, and its reverse is 751. So, the answer is 82.

Step-by-step explanation:

To find the relationship between the given pairs of numbers, we need to examine the pattern. In the first pair, dividing 1863 by 27 gives us 69, which is the reverse of 96. In the second pair, dividing 8109 by 91 gives us 89, which is the reverse of 98. In the third pair, dividing 2745 by 35 gives us 78, which is the reverse of 87.

Based on this pattern, if we divide 7236 by 46, we should get a number that is the reverse of its quotient. Dividing 7236 by 46 results in 157. The reverse of 157 is 751.

Therefore, the answer is 82.

Answer 2

The aim is to find a pattern between the pairs of numbers provided and use that pattern to determine the missing number in the series 7236 is to ? . The pairs provided are (1863,27), (8109,91), and (2745,35).

From the given pairs, a possible pattern could be that the second number in each pair is obtained by squaring the last digit of the first number and then adding one. For instance, the square of the last digit in 1863, which is 3, is 9 and adding 1 to this, we get 10 but this does not match the corresponding second number which is 27. Therefore, this pattern is not correct.

Another possible pattern could be that the first number in each pair is 69 times the second number. For instance, 1863 divided by 27 is approximately equal to 69. Similarly, 8109 divided by 91 is approximately equal to 89, and 2745 divided by 35 is also approximately equal to 69. Therefore, one can infer that the first number in each pair is obtained by multiplying the second number by 69.

Using this newly detected pattern, we can calculate the missing number in the series: 7236 is to ?.

Lets test this pattern with the given choices: [99,84,18,126,82]:
For option A = 99, 7236 divided by 99 equals 73 which is not approximately equal to 69.
For option B = 84, 7236 divided by 84 equals 86 which is not approximately equal to 69.
For option C = 18, 7236 divided by 18 equals 402 which is not approximately equal to 69.
For option D = 126, 7236 divided by 126 equals 57 which is not approximately equal to 69.
For option E = 82, 7236 divided by 82 equals 88 which is not approximately equal to 69.

None of the given options matches our pattern of division giving the result 69.

So, in conclusion, none of the options A - E are valid as per the pattern detected.