Mock Test

Exam: RRB Group D Subject: Mathematics Topic: Number System

Total Questions: 20

Q1. If the digit in the tens place of a number is 7 and the digit in the hundredths place is 1, what is the difference between their place values?

6.93 6.99 6.999 7.01
Q2. If a number is a prime number, what is the sum of its proper divisors?

The number itself 1 0 Cannot be determined
Q3. Which of the following statements about the Fibonacci sequence is INCORRECT?

It is a sequence of natural numbers. The ratio of consecutive terms approaches the golden ratio. The difference between consecutive terms increases. It can be used to approximate the number of rabbits in a population over time.
Q4. What is 3 cubed?

3 6 9 27
Q5. The sum of the first three terms of a geometric progression is 13, and the common ratio is 1/2. What is the first term?

4 6 8 12
Q6. How many significant figures are in the number 0.4560?

3 4 5 6
Q7. What is the smallest number that must be divided by 108 to get a perfect cube?

2 3 4 6
Q8. The smallest natural number divisible by 2, 3, 4, 5, and 6 is:

60 120 180 360
Q9. What is the greatest number that divides 1000 and 1500 without leaving a remainder?

250 300 500 1000
Q10. If you add 1 to an even number, you get an:

even number odd number prime number zero
Q11. Which of the following is equivalent to 2/5?

4/10 3/5 2/6 5/2
Q12. The Pell numbers are closely related to Pell's equation, specifically x^2 - Dy^2 = 1, where D is a non-square integer. What is the value of D for the Pell sequence?

1 2 3 4
Q13. The sum of the cubes of the first 'n' even numbers is given by the formula:

2n²(n+1)² n²(n+1)² 4n²(n+1)² 8n²(n+1)²
Q14. Which of the following numbers is prime?

51 57 59 63
Q15. If n is an abundant number, then n+1 is:

always abundant never abundant sometimes abundant always deficient
Q16. If a rational number is represented as p/q in lowest terms, and q is neither divisible by 2 nor 5, then the decimal expansion of p/q is:

Terminating Non-terminating and repeating Non-terminating and non-repeating Depends on p
Q17. If 3000 is divided by the smallest possible number to make it a perfect cube, what is the resulting cube root?

4 5 6 7
Q18. Which property is characteristic of abundant numbers?

Sum of proper divisors < number Sum of proper divisors = number Sum of proper divisors > number Number is prime
Q19. If z = a + bi, then z * conjugate(z) = ?

a^2 - b^2 a^2 + b^2 b^2 - a^2 (a+b)^2
Q20. If F(n) represents the nth term, which of the following is correct?

F(5) = 3 F(6) = 10 F(7) = 15 F(8) = 21

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