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RATIONAL NUMBERS

297749 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): $\frac{- 2}{7} < \frac{1}{2}$ .
Reason (R): To compare two negative rational numbers, we compare them ignoring their negative signs and then reverse the order.

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.

RATIONAL NUMBERS

297751 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): $\frac{- 2}{9} \times (- 5) = \frac{10}{9}$ .
Reason (R): while multiplying a rational number by a positive integer, we multiply the numerator by that integer, keeping the denominator unchanged.

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.

RATIONAL NUMBERS

297766 $\frac{- 7}{13} - (\frac{- 8}{15}) =$

1

- \frac{239}{195}

2

\frac{29}{195}

3

\frac{- 29}{195}

4 None of these.

Explanation:

None of these.
$\frac{- 7}{13} - (\frac{- 8}{15})$
$= ? ? \frac{- 7}{13} + \frac{8}{15}$ $[- (\frac{- 8}{15}) = \frac{8}{15}]$
$= \frac{- 7 \times 15 + 8 \times 13}{195}$ (LCM of 13 and 15 = 195)
$= \frac{- 105 + 104}{195}$
$= \frac{- 1}{195}$
Hence, the correct answer is option (d).

RATIONAL NUMBERS

297753 Mark $(✓)$ against the correct answer in the following:
$78 \frac{3}{4} \div 2 \frac{1}{2} = ?$

1

31 \frac{1}{2}

2

39 \frac{3}{8}

3

40 \frac{1}{3}

4 None of these.

Explanation:

$31 \frac{1}{2}$
$78 \frac{3}{4} \div 2 \frac{1}{2} = \frac{315}{4} \div \frac{5}{2}$
$= \frac{315}{4} \times \frac{2}{5}$
$= \frac{63}{2}$
$= 31 \frac{1}{2}$

RATIONAL NUMBERS

297749 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): $\frac{- 2}{7} < \frac{1}{2}$ .
Reason (R): To compare two negative rational numbers, we compare them ignoring their negative signs and then reverse the order.

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.

RATIONAL NUMBERS

297751 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): $\frac{- 2}{9} \times (- 5) = \frac{10}{9}$ .
Reason (R): while multiplying a rational number by a positive integer, we multiply the numerator by that integer, keeping the denominator unchanged.

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.

RATIONAL NUMBERS

297766 $\frac{- 7}{13} - (\frac{- 8}{15}) =$

1

- \frac{239}{195}

2

\frac{29}{195}

3

\frac{- 29}{195}

4 None of these.

Explanation:

None of these.
$\frac{- 7}{13} - (\frac{- 8}{15})$
$= ? ? \frac{- 7}{13} + \frac{8}{15}$ $[- (\frac{- 8}{15}) = \frac{8}{15}]$
$= \frac{- 7 \times 15 + 8 \times 13}{195}$ (LCM of 13 and 15 = 195)
$= \frac{- 105 + 104}{195}$
$= \frac{- 1}{195}$
Hence, the correct answer is option (d).

RATIONAL NUMBERS

297753 Mark $(✓)$ against the correct answer in the following:
$78 \frac{3}{4} \div 2 \frac{1}{2} = ?$

1

31 \frac{1}{2}

2

39 \frac{3}{8}

3

40 \frac{1}{3}

4 None of these.

Explanation:

$31 \frac{1}{2}$
$78 \frac{3}{4} \div 2 \frac{1}{2} = \frac{315}{4} \div \frac{5}{2}$
$= \frac{315}{4} \times \frac{2}{5}$
$= \frac{63}{2}$
$= 31 \frac{1}{2}$

RATIONAL NUMBERS

297749 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): $\frac{- 2}{7} < \frac{1}{2}$ .
Reason (R): To compare two negative rational numbers, we compare them ignoring their negative signs and then reverse the order.

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.

RATIONAL NUMBERS

297751 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): $\frac{- 2}{9} \times (- 5) = \frac{10}{9}$ .
Reason (R): while multiplying a rational number by a positive integer, we multiply the numerator by that integer, keeping the denominator unchanged.

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.

RATIONAL NUMBERS

297766 $\frac{- 7}{13} - (\frac{- 8}{15}) =$

1

- \frac{239}{195}

2

\frac{29}{195}

3

\frac{- 29}{195}

4 None of these.

Explanation:

None of these.
$\frac{- 7}{13} - (\frac{- 8}{15})$
$= ? ? \frac{- 7}{13} + \frac{8}{15}$ $[- (\frac{- 8}{15}) = \frac{8}{15}]$
$= \frac{- 7 \times 15 + 8 \times 13}{195}$ (LCM of 13 and 15 = 195)
$= \frac{- 105 + 104}{195}$
$= \frac{- 1}{195}$
Hence, the correct answer is option (d).

RATIONAL NUMBERS

297753 Mark $(✓)$ against the correct answer in the following:
$78 \frac{3}{4} \div 2 \frac{1}{2} = ?$

1

31 \frac{1}{2}

2

39 \frac{3}{8}

3

40 \frac{1}{3}

4 None of these.

Explanation:

$31 \frac{1}{2}$
$78 \frac{3}{4} \div 2 \frac{1}{2} = \frac{315}{4} \div \frac{5}{2}$
$= \frac{315}{4} \times \frac{2}{5}$
$= \frac{63}{2}$
$= 31 \frac{1}{2}$

RATIONAL NUMBERS

297749 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): $\frac{- 2}{7} < \frac{1}{2}$ .
Reason (R): To compare two negative rational numbers, we compare them ignoring their negative signs and then reverse the order.

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.

RATIONAL NUMBERS

297751 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): $\frac{- 2}{9} \times (- 5) = \frac{10}{9}$ .
Reason (R): while multiplying a rational number by a positive integer, we multiply the numerator by that integer, keeping the denominator unchanged.

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.

RATIONAL NUMBERS

297766 $\frac{- 7}{13} - (\frac{- 8}{15}) =$

1

- \frac{239}{195}

2

\frac{29}{195}

3

\frac{- 29}{195}

4 None of these.

Explanation:

None of these.
$\frac{- 7}{13} - (\frac{- 8}{15})$
$= ? ? \frac{- 7}{13} + \frac{8}{15}$ $[- (\frac{- 8}{15}) = \frac{8}{15}]$
$= \frac{- 7 \times 15 + 8 \times 13}{195}$ (LCM of 13 and 15 = 195)
$= \frac{- 105 + 104}{195}$
$= \frac{- 1}{195}$
Hence, the correct answer is option (d).

RATIONAL NUMBERS

297753 Mark $(✓)$ against the correct answer in the following:
$78 \frac{3}{4} \div 2 \frac{1}{2} = ?$

1

31 \frac{1}{2}

2

39 \frac{3}{8}

3

40 \frac{1}{3}

4 None of these.

Explanation:

$31 \frac{1}{2}$
$78 \frac{3}{4} \div 2 \frac{1}{2} = \frac{315}{4} \div \frac{5}{2}$
$= \frac{315}{4} \times \frac{2}{5}$
$= \frac{63}{2}$
$= 31 \frac{1}{2}$