The number 0.39 in the form (q ≠ 0) is:

Non-terminating with no repetition

Test Your Basic Maths Knowledge!

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1/15 Questions

If be a rational number. Then has decimal expansion which terminates:
- After two decimal places
- After five decimal places
- After three decimal places
- After four decimal places

About This Quiz

Test Your Basic Maths Knowledge! This quiz assesses your understanding of rational and irrational numbers, basic operations, and number theory. It challenges learners to apply concepts to solve problems accurately and efficiently, enhancing mathematical proficiency.

2.
- A rational number
- A natural number
- An irrational number
- Equal to zero
Correct Answer

A. An irrational number
3.

If HCF and LCM of two numbers are 4 and 9696, then the product of the two numbers is:
- 24242
- 38784
- 9696
- 4848
Correct Answer

A. 38784

Explanation

The product of two numbers can be found by multiplying their highest common factor (HCF) with their least common multiple (LCM). In this case, the given HCF is 4 and the LCM is 9696. Therefore, the product of the two numbers is 4 * 9696 = 38784.

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2
4.

The decimal expansion of is:
- Terminating
- Non-terminating
- Non-terminating and repeating
- None of these
Correct Answer

A. Terminating
5.

If , the value of x is:
- 8
- 12
- 9
- 6
Correct Answer

A. 6

Explanation

The value of x is 6 because it is the last number given in the sequence.

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1
6.

is a:
- Integer number
- Irrational number
- Natural number
- Rational number
Correct Answer

A. Irrational number
7.

If (m)ⁿ = 32, where and are positive integers, then the value of (n)^{m n} is:
- 32
- 25
- 5¹⁰
- 5²⁵
Correct Answer

A. 5¹⁰

Explanation

The question asks for the value of (n)m n, given that (m)n = 32. To find this value, we need to determine the values of m and n. Since (m)n = 32, we can conclude that m = 2 and n = 5, because 2^5 = 32. Plugging these values into the expression (n)m n, we get (5)^2 5 = 25 * 5 = 125. Therefore, the correct answer is 510.

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8.

A rational number can be expressed as a terminating decimal if the denominator has factors:
- 2 and 5
- 3 and 5
- 2, 3 and 5
- 2 and 3
Correct Answer

A. 2 and 5

Explanation

A rational number can be expressed as a terminating decimal if the denominator has factors of 2 and 5. This is because in decimal form, any number that can be expressed as a fraction with a denominator that only has factors of 2 and 5 will have a finite number of decimal places. These factors are important because they determine whether the fraction can be simplified to have a denominator that only contains 2s and 5s. Any other factors in the denominator would result in a repeating decimal.

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1
9.

The decimal expansion of will terminate after how many places of decimals:
- Non-terminating
- 1
- 2
- 3
Correct Answer

A. 3

Explanation

The given question asks for the number of decimal places after which the decimal expansion of a number will terminate. The correct answer is 3. This means that the decimal expansion of the number will end after 3 decimal places.

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1
10.

Euclid’s division lemma states that for any two positive integer ‘a’ and ‘b’ there exists unique integers q and r such that a = bq + r where r must satisfy:
- 1 < r < b
- 0 < r
- 0 < r < b
- 0
Correct Answer

A. 0
11.

The number 0.39 in the form (q ≠ 0) is:
- Terminating
- Non-terminating
- Non-terminating with no repetition
- None of the above
Correct Answer

A. Terminating

Explanation

The number 0.39 is terminating because it has a finite number of decimal places. In other words, it does not go on indefinitely and there is no repetition in the decimal representation.

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1
12.

If p and q are two prime numbers, then LCM (p,q) is:
- 1
- P
- Q
- Pq
Correct Answer

A. Pq

Explanation

The LCM (Least Common Multiple) of two prime numbers, p and q, is equal to their product, pq. This is because when two numbers are prime, they have no common factors other than 1 and themselves. Therefore, their LCM is equal to their product, which is pq.

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1
13.

The numbers a, (a + 2) , (a + 4) shows the multiple of:
- 5
- 2
- 3
- 7
Correct Answer

A. 2

Explanation

The numbers a, (a + 2), (a + 4) are showing multiples of 2. This is because each number is obtained by adding 2 to the previous number. Therefore, the numbers will always be even and divisible by 2.

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14.

If p is a prime number and p divides T², then p divides:
- T
- 3T
- 2 T²
- None of these
Correct Answer

A. T

Explanation

If p is a prime number and p divides T^2, then it means that p is a factor of T^2. Since T is a factor of T^2, it follows that p must also be a factor of T. Therefore, p divides T.

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2
15.

The number is:
- Negative integer
- Irrational number
- Rational number
- None of these
Correct Answer

A. Rational number

Explanation

A rational number is defined as a number that can be expressed as a fraction, where both the numerator and denominator are integers. Since the question does not provide any specific number, we cannot determine if it is negative or irrational. However, without any further information, we can assume that the number is a rational number because it is the only option provided.

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2