REAL NUMBERS
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REAL NUMBERS

90287 For any two positive integers a and b, such that a > b. There exist (unique)
whole numbers q and r such that

1 )\(\text{a}=\text{qbr}\)
2 )\(\text{b}=\text{aq}+\text{r},0\leq\text{r}<\text{b}\)
3 )\(\text{a}=\text{bq}+\text{r},0\leq\text{r}<\text{b}\)
4 )\(\text{q}=\text{ar}+\text{b},0\leq\text{r}<\text{b}\)
REAL NUMBERS

90288 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \((2+\sqrt{3})^{2}\) is irrational.
Reason: (a + b)\(^{2}\) = a\(^{2}\) + b\(^{2 }\)+ 2ab.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90289 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: (18, 25) is a pair of coprime.
Reason: Pair of coprime has common factor 2.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90292 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The no.which do not exist between 0 and infinity are not whole numbers.
Reason: -1, -5, \(\pi\) are not whole number.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90297 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \(\frac{1}{6}\)has non terminating repeating decimal expansion.
Reason: \(\frac{1}{7}\)is an irrational no.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
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REAL NUMBERS

90287 For any two positive integers a and b, such that a > b. There exist (unique)
whole numbers q and r such that

1 )\(\text{a}=\text{qbr}\)
2 )\(\text{b}=\text{aq}+\text{r},0\leq\text{r}<\text{b}\)
3 )\(\text{a}=\text{bq}+\text{r},0\leq\text{r}<\text{b}\)
4 )\(\text{q}=\text{ar}+\text{b},0\leq\text{r}<\text{b}\)
REAL NUMBERS

90288 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \((2+\sqrt{3})^{2}\) is irrational.
Reason: (a + b)\(^{2}\) = a\(^{2}\) + b\(^{2 }\)+ 2ab.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90289 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: (18, 25) is a pair of coprime.
Reason: Pair of coprime has common factor 2.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90292 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The no.which do not exist between 0 and infinity are not whole numbers.
Reason: -1, -5, \(\pi\) are not whole number.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90297 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \(\frac{1}{6}\)has non terminating repeating decimal expansion.
Reason: \(\frac{1}{7}\)is an irrational no.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
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REAL NUMBERS

90287 For any two positive integers a and b, such that a > b. There exist (unique)
whole numbers q and r such that

1 )\(\text{a}=\text{qbr}\)
2 )\(\text{b}=\text{aq}+\text{r},0\leq\text{r}<\text{b}\)
3 )\(\text{a}=\text{bq}+\text{r},0\leq\text{r}<\text{b}\)
4 )\(\text{q}=\text{ar}+\text{b},0\leq\text{r}<\text{b}\)
REAL NUMBERS

90288 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \((2+\sqrt{3})^{2}\) is irrational.
Reason: (a + b)\(^{2}\) = a\(^{2}\) + b\(^{2 }\)+ 2ab.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90289 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: (18, 25) is a pair of coprime.
Reason: Pair of coprime has common factor 2.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90292 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The no.which do not exist between 0 and infinity are not whole numbers.
Reason: -1, -5, \(\pi\) are not whole number.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90297 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \(\frac{1}{6}\)has non terminating repeating decimal expansion.
Reason: \(\frac{1}{7}\)is an irrational no.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
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REAL NUMBERS

90287 For any two positive integers a and b, such that a > b. There exist (unique)
whole numbers q and r such that

1 )\(\text{a}=\text{qbr}\)
2 )\(\text{b}=\text{aq}+\text{r},0\leq\text{r}<\text{b}\)
3 )\(\text{a}=\text{bq}+\text{r},0\leq\text{r}<\text{b}\)
4 )\(\text{q}=\text{ar}+\text{b},0\leq\text{r}<\text{b}\)
REAL NUMBERS

90288 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \((2+\sqrt{3})^{2}\) is irrational.
Reason: (a + b)\(^{2}\) = a\(^{2}\) + b\(^{2 }\)+ 2ab.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90289 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: (18, 25) is a pair of coprime.
Reason: Pair of coprime has common factor 2.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90292 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The no.which do not exist between 0 and infinity are not whole numbers.
Reason: -1, -5, \(\pi\) are not whole number.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90297 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \(\frac{1}{6}\)has non terminating repeating decimal expansion.
Reason: \(\frac{1}{7}\)is an irrational no.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
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REAL NUMBERS

90287 For any two positive integers a and b, such that a > b. There exist (unique)
whole numbers q and r such that

1 )\(\text{a}=\text{qbr}\)
2 )\(\text{b}=\text{aq}+\text{r},0\leq\text{r}<\text{b}\)
3 )\(\text{a}=\text{bq}+\text{r},0\leq\text{r}<\text{b}\)
4 )\(\text{q}=\text{ar}+\text{b},0\leq\text{r}<\text{b}\)
REAL NUMBERS

90288 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \((2+\sqrt{3})^{2}\) is irrational.
Reason: (a + b)\(^{2}\) = a\(^{2}\) + b\(^{2 }\)+ 2ab.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90289 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: (18, 25) is a pair of coprime.
Reason: Pair of coprime has common factor 2.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90292 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The no.which do not exist between 0 and infinity are not whole numbers.
Reason: -1, -5, \(\pi\) are not whole number.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.
REAL NUMBERS

90297 Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: \(\frac{1}{6}\)has non terminating repeating decimal expansion.
Reason: \(\frac{1}{7}\)is an irrational no.

1 )Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
2 )Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
3 )Assertion (A) is true but reason (R) is false.
4 )Assertion (A) is false but reason (R) is true.