If in the given number “972645466”, all the digits are arranged in descending order from left to right, then what will be the difference between the square of the digits which is 2nd from both ends?
Correct Answer :
33
Solution :
To find the required difference, let us break down the problem into simple step-by-step logical calculations.
Step 1: Understand the given number and arrange its digits.
The given number is 972645466.
Let us count and list all the digits present in the number:
9, 7, 6, 6, 6, 5, 4, 4, 2
Arranging these digits in descending order (from largest to smallest) from left to right, we get:
9, 7, 6, 6, 6, 5, 4, 4, 2
Step 2: Identify the digits at the 2nd position from both ends.
From the left end (1st is 9, 2nd is 7):
The 2nd digit from the left end = 7
From the right end (1st is 2, 2nd is 4):
The 2nd digit from the right end = 4
Step 3: Calculate the squares of these two digits.
Square of the 2nd digit from the left end:
Square of the 2nd digit from the right end:
Step 4: Find the difference between these two squares.
Thus, the correct answer is 33 (Option 33).
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