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Number Theory

GATE Electrical Engineering · 2 questions across 2 years (2018-2026) · 5% recurrence rate

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Recurrence sparkline

2018–2026
201820222026

Difficulty mix

med 50%
hard 50%

Question types

MCQ2

All 2 questions on Number Theory

2026 Q10

P and Q are two positive integers such that P² = Q² + 13. The product of the numbers P and Q is

Med✓
2018 Q63

X is a 30 digit number starting with the digit 4 followed by the digit 7. Then the number X³ will have

Hard✓