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

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

ScanSolve AI Answer

20) Match the temperatures:

Step 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. Step 2: Order the given temperatures from coldest to warmest: 4C-4^\circ\text{C} (coldest) 2C-2^\circ\text{C} (middle) 14C14^\circ\text{C} (warmest) Step 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) Step 4: Match the ordered temperatures to the ordered times:

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

The matches are: 14\circC02:00 pm14^\circC \rightarrow 02:00 \text{ pm} 2\circC11:00 am-2^\circC \rightarrow 11:00 \text{ am} 4\circC02:00 am-4^\circC \rightarrow 02:00 \text{ am}

21) Which of the following statements is true?

Step 1: Identify the given minimum temperatures for places A and B. Temperature at A = 4C4^\circ\text{C} Temperature at B = 2C2^\circ\text{C}

Step 2: Evaluate each statement:

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

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

  • c) There is a difference of 2C2^\circ\text{C} in the temperature The difference in temperature is 4\circC2\circC=2C|4^\circC - 2^\circC| = 2^\circ\text{C}. This statement is true.

  • d) The temperature at A is 4C4^\circ\text{C} higher than that at B The temperature at A (4C4^\circ\text{C}) is 4\circC2\circC=2C4^\circC - 2^\circC = 2^\circ\text{C} higher than that at B (2C2^\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)BiscoolerthanA\boxed{b) B is cooler than A}

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