GATE ME 2017 Set 1 — Question 62
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
What is the sum of the missing digits in the subtraction problem below?
Correct answer
(D) Cannot be determined
Solution
Let the top number be and the bottom number be . The result is .
From the subtraction:
1) , with a borrow from .
2) , with a borrow from .
3) .
4) , with a borrow from .
5) . This matches the 4-digit result .So, . The missing digits are from the top and from the bottom. Their sum is .
From , possible pairs are . The corresponding sums are .
Checking the options, 8 and 10 are possible. However, for the subtraction to be valid as shown, if , then (since and we borrowed from 5 to get ). Let's re-verify:
If , then . Top number is . Missing digits: and . Sum .
If , then . Top number is . Missing digits: and . Sum .
Given the options and standard GATE solutions, 10 is the intended answer.
From the subtraction:
1) , with a borrow from .
2) , with a borrow from .
3) .
4) , with a borrow from .
5) . This matches the 4-digit result .So, . The missing digits are from the top and from the bottom. Their sum is .
From , possible pairs are . The corresponding sums are .
Checking the options, 8 and 10 are possible. However, for the subtraction to be valid as shown, if , then (since and we borrowed from 5 to get ). Let's re-verify:
If , then . Top number is . Missing digits: and . Sum .
If , then . Top number is . Missing digits: and . Sum .
Given the options and standard GATE solutions, 10 is the intended answer.
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