Discussion
In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.
15 x 26 = 6512
29 x 36 = 6923,
46 x 54 = ?
Answer: B
Correct answer: 4645
Nothing is multiplied here - the four digits are simply rearranged. Writing the two numbers as \( a_1a_2 \) and \( b_1b_2 \), the result reads \( b_2\,a_2\,a_1\,b_1 \): the units digit of the second number, then the units digit of the first, then the tens digit of the first, then the tens digit of the second.
Checking both given equations: \( 15 \times 26 \) gives \( 6,5,1,2 = 6512 \) and \( 29 \times 36 \) gives \( 6,9,2,3 = 6923 \). So \( 46 \times 54 \) gives \[ 4,\,6,\,4,\,5 = \mathbf{4645} \]
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