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9. If a clock's hour hand starts at 2 and makes \( \frac{3}{4} \) of a revolution clockwise, where will the hour hand stop?

A) 11
B) 9
C) 8
D) 5

10. Ramya bought 7.5 metres of cloth from a shop. She used 2 metres and 75 centimetres of this cloth to make a shirt. How many metres of cloth is left with her?

A) 4.75 metres
B) 4.85 metres
C) 5.70 metres
D) 10.25 metres

Answer :

Let's solve the two questions one by one.

Question 9:

To determine where the hour hand stops after making [tex]\frac{3}{4}[/tex] of a revolution, we need to understand how many hours this represents.

  • A full revolution of the hour hand on a clock is 12 hours since there are 12 hours on a clock.
  • [tex]\frac{3}{4}[/tex] of a revolution is: [tex]12 \times \frac{3}{4} = 9[/tex] hours.

Therefore, the hour hand, starting at 2, will move 9 hours clockwise.

  • Start at 2, and count 9 hours: 3, 4, 5, 6, 7, 8, 9, 10, 11.

The hour hand will stop at 11.

Correct Option: A) 11

Question 10:

Ramya initially bought 7.5 metres of cloth. She used part of this cloth to make a shirt.

  • The cloth used is 2 metres and 75 centimetres.

  • First, convert 75 centimetres into metres, knowing that 1 metre = 100 centimetres:
    [tex]75 \text{ cm} = \frac{75}{100} \text{ m} = 0.75 \text{ m}[/tex]

  • Now add the meters:
    [tex]2 \text{ m} + 0.75 \text{ m} = 2.75 \text{ m}[/tex]

  • Subtract the used cloth from the initial amount:

    [tex]7.5 \text{ m} - 2.75 \text{ m} = 4.75 \text{ m}[/tex]

Ramya has 4.75 metres of cloth left.

Correct Option: A) 4.75 metres

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