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The prime number 1,999 can be written as a2-b2, where a and b are natural numbers. Then the value of a2+b2 is:

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Important Questions on Number System

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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 57
In a divisor sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is:
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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 58
When a two-digit odd number is divided by a two digit even number, the quotient is 0.625. If the odd number is 5 less than the even number, then which of the following will definitely be the ratio between odd and even numbers, respectively?
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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 59
Let d be a two-digit number. If half of d exceeds one-third of d by the sum of the digits in d, then the sum of the digits in d is:
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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 60
How many 9's are there in the 99,99,98,99,9992?
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CAT
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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 61
The digit in unit's place of the product 81×82×...×89 is:
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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 62
The digit in the unit's place of the product (2,464)1793×(615)317×(131)491 is:
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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 63
The digit in the unit's place of the number (1,570)2+(1,571)2+(1,572)2+(1,573)2 is:
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Quantitative Aptitude for Competitive Examinations>Chapter 1 - Number System>Practice Problems Level 2>Q 64
The unit digit in 3×38×537×1,256 is: