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Q1. The number of digits in $50^{20}$ is:
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Q2. What is the digit in the hundreds place in the number 567?
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Q3. In a harmonic progression, the 3rd term is 1/10 and the 6th term is 1/19. What is the first term?
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Q4. The number 1234567 has how many digits?
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Q5. How many digits are present in 27!?
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Q6. Which of the following is the smallest odd number?
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Q7. A number that has exactly two distinct positive divisors is called a:
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Q8. Which digit, when added to itself, results in the same digit?
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Q9. Find the total number of prime factors of 630.
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Q10. The sum of the first $n$ terms of the sequence 1, 3, 5, 7,... is $n^2$. The sum of the first $n$ terms of the sequence 2, 4, 6, 8,... is $n(n+1)$. The sum of the first $n$ terms of the sequence 1, 2, 3, 4,... is $\frac{n(n+1)}{2}$, which is the $n^{th}$ triangular number. If a number $N$ is a triangular number, what can be said about $8N+1$?
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Q11. Find the digital sum of 123.
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Q12. If the first term of an HP is 1/5 and the common difference of its corresponding AP is 3, find the 5th term of the HP.
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Q13. If a = bq + r, where r is the remainder, then GCD(a, b) is equal to:
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Q14. If x = 3 and y = -2, then the value of x^2 - y^2 is:
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Q15. If the n-th term of an AP is $2n+3$, find the sum of the first 20 terms.
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Q16. If a 6-digit palindromic number 'abccba' is divisible by 11, what is the sum of the digits a + b + c?
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Q17. Which of the following sequences is an arithmetic progression?
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Q18. What is the sum of the digits of the number 70?
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Q19. Which of the following is an odd number?
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Q20. Which integer, when multiplied by -7, results in a product of 42?
