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Q1: Sunil has ₹ 35 in his metro card, but his journey costs ₹ 42. What will the machine display on the card when he exits?
(a) ₹ 7
(b) ₹ (–7)
(c) ₹ (–9)
(d) ₹ 6
Ans: (B)
- To find the amount displayed by the machine, we calculate the difference between the balance and the journey cost.
- The calculation is: ₹ (35 - 42) = ₹ (–7).
- This means Sunil does not have enough money for the journey, resulting in a negative balance.
- Thus, the machine will show ₹ (–7) at the time of exit.
Q2: In a series of 12 questions, 4 points are given for each correct response and -2 points for each incorrect one. Smriti answered five questions correctly and seven incorrectly. What is her total score?
(a) 6
(b) 8
(c) 9
(d) 10
Ans: (A)
- Number of correct answers: Smriti answered 5 questions correctly.
- Number of incorrect answers: She got 7 questions wrong.
- Calculating her score: The score is calculated as 4 points for each correct answer and -2 points for each wrong answer. So, her score is 4 × 5 + (-2) × 7 = 20 - 14 = 6.
- Final score: Therefore, Smriti's total score is 6.
Q3: Manya traveled 465 km to the South, while Ananya traveled 644 km to the North from the same starting point. What is the distance between their final locations?
(a) 1109 km
(b) -1109 km
(c) 1080 km
(d) 179 km
Ans: (A)
- The distance between Manya and Ananya is calculated by adding the distances they traveled in opposite directions.
- Manya went 465 km South and Ananya went 644 km North.
- So, the total distance is 465 + 644 = 1109 km.
- This means they are 1109 km apart from each other.
Q4: Arun has ₹ 125 in his savings account. After withdrawing ₹ 117, depositing ₹ 45, and then withdrawing another ₹ 69, what is the remaining balance in his account? (Provide the amount as an integer.)
(a) ₹ (–16)
(b) ₹ 16
(c) ₹ 30
(d) ₹ (–30)
Ans: (A)
- Total amount deposited: ₹ 45
- Total amount withdrawn: ₹ 117 + ₹ 69 = ₹ 186
- Amount left in the account: 125 + 45 – 186 = 170 – 186 = ₹ (–16)
Q5: On a particular evening, the temperature on a hill was recorded at 8 p.m. as 2°C, but by midnight, it dropped to –3°(c) What was the total decrease in temperature?
(a) 5°C
(b) 6°C
(c) 7°C
(d) 9°C
Ans: (A)
- Temperature at 8 p.m. was 2°C.
- Temperature at midnight was –3°C.
- The decrease in temperature can be calculated as follows: (2 – (–3))°C = (2 + 3)°C = 5°C.
- Thus, the temperature fell by a total of 5°C.
The document Integers | Maths Olympiad Class 6 is a part of the Class 6 Course Maths Olympiad Class 6.
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FAQs on Integers - Maths Olympiad Class 6
| 1. What are integers and how are they represented on a number line? |  |
| 2. Can you explain the addition and subtraction of integers with examples? | |
Ans.Addition of integers involves combining their values. For example, 3 + (-2) = 1. In subtraction, you can think of it as adding the opposite. For instance, 5 - 3 = 2 can be written as 5 + (-3) = 2.
| 3. What are the rules for multiplying and dividing integers? | |
Ans.The rules for multiplying integers are as follows: a positive times a positive is positive, a negative times a negative is positive, and a positive times a negative is negative. The same rules apply for division.
| 4. How do you compare two integers? | |
Ans.To compare two integers, you can use the number line. The integer that is farther to the right is larger. For example, -1 is greater than -2 because -1 is to the right of -2 on the number line.
| 5. What are some real-life applications of integers? | |
Ans.Integers are used in various real-life situations such as measuring temperature, tracking financial gains and losses, and calculating elevations above or below sea level.
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