14. INTEGERS
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NEET DIGITAL LIBRARY
14. INTEGERS

291866 Which of the following is an example of integer

1 \(-5\)
2 \(\frac{5}{2}\)
3 \(1.4\)
4 \(\frac{-7}{2}\)
14. INTEGERS

291867 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 (A): Every positive integer is larger than every negative integer.
Reason (R): Farther a number from zero to the right, smaller is its value

1 Both A and R are true and R is the correct explanation of A
2 Both A and R are true but R is not the correct explanation of A
3 A is true but R is false
4 A is false but R is true
14. INTEGERS

291869 Prove that the system of equations
\(\begin{cases}\text{x}^{2} + 6\text{y}^{2}-\text{z}^{2} & \text{amp};\\6\text{x}^{2} + \text{y}^{2} - \text{t}^{2} & \text{amp}\end{cases}\)
has no positive integer solutions.

1 It has no positive integer solutions.
2 It has positive integer solution.
3 The equations do not have any solutions.
4 The equations has negative integer solution.
14. INTEGERS

291870 If nn is a positive integer not a multiple of 3, then \(1+\omega^\text{n}+\omega^{2\text{n}}=\)

1 3
2 1
3 0
4 None of these
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14. INTEGERS

291866 Which of the following is an example of integer

1 \(-5\)
2 \(\frac{5}{2}\)
3 \(1.4\)
4 \(\frac{-7}{2}\)
14. INTEGERS

291867 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 (A): Every positive integer is larger than every negative integer.
Reason (R): Farther a number from zero to the right, smaller is its value

1 Both A and R are true and R is the correct explanation of A
2 Both A and R are true but R is not the correct explanation of A
3 A is true but R is false
4 A is false but R is true
14. INTEGERS

291869 Prove that the system of equations
\(\begin{cases}\text{x}^{2} + 6\text{y}^{2}-\text{z}^{2} & \text{amp};\\6\text{x}^{2} + \text{y}^{2} - \text{t}^{2} & \text{amp}\end{cases}\)
has no positive integer solutions.

1 It has no positive integer solutions.
2 It has positive integer solution.
3 The equations do not have any solutions.
4 The equations has negative integer solution.
14. INTEGERS

291870 If nn is a positive integer not a multiple of 3, then \(1+\omega^\text{n}+\omega^{2\text{n}}=\)

1 3
2 1
3 0
4 None of these
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14. INTEGERS

291866 Which of the following is an example of integer

1 \(-5\)
2 \(\frac{5}{2}\)
3 \(1.4\)
4 \(\frac{-7}{2}\)
14. INTEGERS

291867 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 (A): Every positive integer is larger than every negative integer.
Reason (R): Farther a number from zero to the right, smaller is its value

1 Both A and R are true and R is the correct explanation of A
2 Both A and R are true but R is not the correct explanation of A
3 A is true but R is false
4 A is false but R is true
14. INTEGERS

291869 Prove that the system of equations
\(\begin{cases}\text{x}^{2} + 6\text{y}^{2}-\text{z}^{2} & \text{amp};\\6\text{x}^{2} + \text{y}^{2} - \text{t}^{2} & \text{amp}\end{cases}\)
has no positive integer solutions.

1 It has no positive integer solutions.
2 It has positive integer solution.
3 The equations do not have any solutions.
4 The equations has negative integer solution.
14. INTEGERS

291870 If nn is a positive integer not a multiple of 3, then \(1+\omega^\text{n}+\omega^{2\text{n}}=\)

1 3
2 1
3 0
4 None of these
NEET DIGITAL LIBRARY
14. INTEGERS

291866 Which of the following is an example of integer

1 \(-5\)
2 \(\frac{5}{2}\)
3 \(1.4\)
4 \(\frac{-7}{2}\)
14. INTEGERS

291867 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 (A): Every positive integer is larger than every negative integer.
Reason (R): Farther a number from zero to the right, smaller is its value

1 Both A and R are true and R is the correct explanation of A
2 Both A and R are true but R is not the correct explanation of A
3 A is true but R is false
4 A is false but R is true
14. INTEGERS

291869 Prove that the system of equations
\(\begin{cases}\text{x}^{2} + 6\text{y}^{2}-\text{z}^{2} & \text{amp};\\6\text{x}^{2} + \text{y}^{2} - \text{t}^{2} & \text{amp}\end{cases}\)
has no positive integer solutions.

1 It has no positive integer solutions.
2 It has positive integer solution.
3 The equations do not have any solutions.
4 The equations has negative integer solution.
14. INTEGERS

291870 If nn is a positive integer not a multiple of 3, then \(1+\omega^\text{n}+\omega^{2\text{n}}=\)

1 3
2 1
3 0
4 None of these
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