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1. In a quiz for correct answer, positive points and for incorrect answer, negative points are given. There are four rounds and the scores of team A, B, C are as follows:

| No. of Rounds | Team A | Team B | Team C |
|---|---|---|---|
| Round 1 | +40 | -20 | +60 |
| Round 2 | +15 | +35 | -30 |
| Round 3 | +10 | -15 | +15 |
| Round 4 | -30 | -10 | +15 |

(a) How scorer will calculate the points of team A, B and C? Find the scores.
(b) Who is the winner?

2. The temperature of Srinagar was -3°C on Monday then rises by 6°C on Tuesday and drops by 5°C on Wednesday.
(a) Find the exact temperature on Monday, Tuesday and Wednesday.
(b) Find the difference between temperature recorded on Monday and Wednesday.

3. Lovejot deposited Rs.1250 per month in a bank for 18 months and for next 10 months his withdrawal was Rs.1000 per month. Find the balance in his account.

4. A hot air balloon begins to descend towards the ground from a height of 2250 feet. If it descends at the rate of 150 feet per minute, find the height of the balloon after 12 minutes.

5. An elevator descends into a mine shaft at the rate of 8 m per min. If the descent starts from 16 m above the ground level, how long will it take to reach -240 m?

6. A plane flying at a height of 7500 m from the ground drops a Sonar signal onto the ocean floor. If the total distance covered by the Sonar signal is 12,800 m. What is the depth of the ocean at this point?

7. In written quiz of mathematics, there are 20 multiple choice questions. 5 marks are allotted for each correct answer, -2 marks for each incorrect answer and 0 mark for not attempting the question. Ramneek attempted all the questions and only 13 answers were correct. Zeenat attempted only 15 questions out of 20 questions and 11 answers were correct. Find the individual score of Ramneek and Zeenat. Who got more marks?

Answer :

Let's break down each question step-by-step:

  1. Quiz Scores and Winner

    (a) Calculating Scores:

    • Team A: Add the scores from all rounds: [tex]+40 + 15 + 10 - 30 = 35[/tex].
    • Team B: Add the scores from all rounds: [tex]-20 + 35 - 15 - 10 = -10[/tex].
    • Team C: Add the scores from all rounds: [tex]+60 - 30 + 15 + 15 = 60[/tex].

    (b) Determining the Winner:

    • The highest score is [tex]60[/tex] points, which belongs to Team C.
    • So, Team C is the winner.

  2. Temperature in Srinagar

    (a) Daily Temperatures:

    • Monday: The temperature was [tex]-3°C[/tex].
    • Tuesday: The temperature increased by [tex]6°C[/tex]: [tex]-3 + 6 = 3°C[/tex].
    • Wednesday: The temperature dropped by [tex]5°C[/tex]: [tex]3 - 5 = -2°C[/tex].

    (b) Temperature Difference:

    • The difference between Monday and Wednesday’s temperatures is [tex]-3°C - (-2°C) = -1°C[/tex].

  3. Bank Deposits and Withdrawals

    • Lovejot deposits [tex]Rs. 1250[/tex] for 18 months: [tex]1250 \times 18 = Rs. 22,500[/tex].
    • He withdraws [tex]Rs. 1000[/tex] for the next 10 months: [tex]1000 \times 10 = Rs. 10,000[/tex].
    • The balance left is [tex]Rs. 22,500 - Rs. 10,000 = Rs. 12,500[/tex].

  4. Height of Hot Air Balloon

    • The balloon starts descending from [tex]2250[/tex] feet. It descends [tex]150[/tex] feet per minute.
    • After 12 minutes: [tex]150 \times 12 = 1800[/tex] feet descended.
    • Height of the balloon: [tex]2250 - 1800 = 450[/tex] feet.

  5. Elevator Descent Time

    • The descent starts from [tex]16[/tex] m above ground to [tex]-240[/tex] m.
    • Total descent: [tex]16 + 240 = 256[/tex] meters.
    • Rate of descent: [tex]8[/tex] m/min.
    • Time taken: [tex]\frac{256}{8} = 32[/tex] minutes.

  6. Depth of the Ocean

    • Total distance by Sonar is [tex]12,800\ m[/tex].
    • Height of the plane: [tex]7500\ m[/tex].
    • Depth of the ocean: [tex]12,800 - 7500 = 5300\ m[/tex].

  7. Quiz Scores: Ramneek vs Zeenat

    • Ramneek attempted all 20 questions with 13 correct.

      • Total score: Correct: [tex]13 \times 5 = 65[/tex], Incorrect: [tex]7 \times (-2) = -14[/tex].
      • Final score: [tex]65 - 14 = 51[/tex].

    • Zeenat attempted 15 questions, with 11 correct.

      • Total score: Correct: [tex]11 \times 5 = 55[/tex], Incorrect: [tex]4 \times (-2) = -8[/tex].
      • Final score: [tex]55 - 8 = 47[/tex].

    • Ramneek scored more with [tex]51[/tex] points.

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