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Q1. The harmonic mean of 5 and 10 is:
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Q2. If a number has '2k' digits, what is the number of digits in its square root?
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Q3. What is the sum of 15 and 0?
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Q4. How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5 if repetition of digits is allowed?
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Q5. The product of two rational numbers is -24/35. If one of the numbers is -6/7, what is the other number?
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Q6. How many numbers between 1 and 100 have exactly 3 factors?
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Q7. How many digits are there in the number 1,500,000?
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Q8. If the sum to infinity of a GP is 15 and the sum of the squares of its terms is 45, find the first term.
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Q9. The digital root of which of the following numbers is 8?
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Q10. If the first term of a harmonic sequence is $1/a$ and the common difference of its corresponding arithmetic sequence is $d$, what is the nth term of the harmonic sequence?
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Q11. Which of the following is a factor of 12?
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Q12. Find the number of digits in 250!.
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Q13. Determine the total number of prime factors of 810.
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Q14. A number N is a four-digit number. The sum of its digits is 30. The digital root of N is 3. If the first digit is 8, and the last digit is 2, find the sum of the other two digits.
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Q15. If 60 = 2^a * 3^b * 5^c, what is 2a+b-c?
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Q16. Which number is NOT an Armstrong number?
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Q17. The value of π is approximately:
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Q18. What is the modulus of the complex number 6 - 8i?
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Q19. If a number is divisible by 7, 9, and 13, what is the smallest positive integer that must also divide it?
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Q20. Which of the following is a prime number?
