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Match the temperatures: 14°C, -2°C, -4°C with times 02:00 am, 02:00 pm, 11:00 am.

Mathematics

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Step-by-step solution

6 steps

20) Match the temperatures:

  1. Understand the context.

    Leh in Ladakh is very cold in winter. Temperatures are generally lowest in the early morning and highest in the afternoon.

  2. Order the given temperatures from coldest to warmest

    −4∘C-4^\circ\text{C} (coldest)
    −2∘C-2^\circ\text{C} (middle)
    14∘C14^\circ\text{C} (warmest)

  3. Order the given times from when the coldest temperature is expected to when the warmest temperature is expected

    02:00 am02:00 \text{ am} (coldest expected)
    11:00 am11:00 \text{ am} (middle expected)
    02:00 pm02:00 \text{ pm} (warmest expected)

  4. Match the ordered temperatures to the ordered times

    • −4∘C-4^\circ\text{C} is the coldest temperature, so it matches with 02:00 am02:00 \text{ am}.
    • 14∘C14^\circ\text{C} is the warmest temperature, so it matches with 02:00 pm02:00 \text{ pm}.
    • −2∘C-2^\circ\text{C} is the middle temperature, so it matches with 11:00 am11:00 \text{ am}.

    The matches are:
    14∘C→02:00 pm14^\circ\text{C} \rightarrow 02:00 \text{ pm}
    −2∘C→11:00 am-2^\circ\text{C} \rightarrow 11:00 \text{ am}
    −4∘C→02:00 am-4^\circ\text{C} \rightarrow 02:00 \text{ am}

    21) Which of the following statements is true?

  5. Identify the given minimum temperatures for places A and B.

    Temperature at A = 4∘C4^\circ\text{C}
    Temperature at B = 2∘C2^\circ\text{C}

  6. Evaluate each statement

    • a) A is cooler than B Since 4∘C>2∘C4^\circ\text{C} > 2^\circ\text{C}, A is warmer than B. This statement is false.

    • b) B is cooler than A Since 2∘C<4∘C2^\circ\text{C} < 4^\circ\text{C}, B is cooler than A. This statement is true.

    • c) There is a difference of 2∘C2^\circ\text{C} in the temperature The difference in temperature is ∣4∘C−2∘C∣=2∘C|4^\circ\text{C} - 2^\circ\text{C}| = 2^\circ\text{C}. This statement is true.

    • d) The temperature at A is 4∘C4^\circ\text{C} higher than that at B The temperature at A (4∘C4^\circ\text{C}) is 4∘C−2∘C=2∘C4^\circ\text{C} - 2^\circ\text{C} = 2^\circ\text{C} higher than that at B (2∘C2^\circ\text{C}). This statement is false.

    Both statements b) and c) are factually true. However, in multiple-choice questions asking for "the" true statement, a direct comparison (like "cooler than") is often the intended answer when comparing two entities.

    The true statement is:

    b) B is cooler than A\boxed{\text{b) B is cooler than A}}
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