Virtual Labs

Advanced Arithmetic

1. Why can't standard integer types store numbers like 10^50?

a: They only store characters Explanation

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b: They are not used in programming Explanation

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c: They have limited storage size Explanation

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d: They can store any number Explanation

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2. What is the main idea behind adding two large numbers stored as strings?

a: Add digits from left to right only Explanation

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b: Convert strings to integers and add Explanation

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c: Ignore carry over Explanation

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d: Add digits from right to left, carrying over as needed Explanation

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3. Which of the following is a valid reason to use binary search for square root calculation?

a: It checks every possible value Explanation

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b: It efficiently narrows down the possible values Explanation

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c: It is slower than linear search Explanation

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d: It only works for small numbers Explanation

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4. What is the time complexity of binary search for finding square roots?

a: O(N) Explanation

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b: O(1) Explanation

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c: O(N^2) Explanation

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d: O(log N) Explanation

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5. Which of the following is NOT a challenge when adding large numbers as strings?

a: Memory limitations Explanation

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b: Handling carry over Explanation

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c: Digit alignment Explanation

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d: Using built-in integer addition Explanation

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6. What is the output of adding 999...999 (50 nines) and 1?

a: 999...999 (50 nines) Explanation

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b: 1 Explanation

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c: 1000...000 (1 followed by 50 zeros) Explanation

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d: 0 Explanation

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7. Which of the following is true about floating-point precision in square root calculation?

a: Results are always exact Explanation

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b: Results may not be exact due to rounding Explanation

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c: Precision does not matter Explanation

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d: Binary search cannot be used Explanation

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8. What is the main application of large number arithmetic in cryptography?

a: Encrypting and decrypting data securely Explanation

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b: Sorting numbers Explanation

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c: Finding the maximum value Explanation

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d: Printing numbers Explanation

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9. Which of the following is a limitation of using strings for arithmetic?

a: Slower operations compared to built-in types Explanation

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b: Unlimited precision Explanation

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c: No need for carry over Explanation

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d: Automatic type conversion Explanation

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10. Which of the following is the best reason to use binary search for square root calculation instead of trial division?

a: It is much faster for large numbers Explanation

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b: It always gives an exact answer Explanation

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c: It is easier to code Explanation

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d: It does not require any arithmetic Explanation

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