Integers

1. Aditya went to Australia during the holidays of his children. They visited the coral reef and they were all excited to go for scuba diving. Aditya dived 36 feet to reach the brain coral as his instructor had directed him. He then rose by 19 feet to travel over a ridge.

Q1: What is the depth of the ridge?

Aditya dived 36 feet → So his position = -36 feet He rose 19 feet → Final position = -36 + 19
Step-by-step: = -36 + 19 = -17 feet
Correct Answer: (c) 17 feet

Q2: What is the depth of the reef?

Current position = -17 feet Dived again = 58 feet
= -17 – 58 = -75 feet
Correct Answer: (d) 75 feet

Q3: What is his location after rising 26 feet?

Current position = -75 feet Rises = 26 feet
= -75 + 26 = -49 feet
Correct Answer: (a) 49 feet

Q4: Distance between whale and Aditya?

Whale is at -21 feet Aditya is at -49 feet
= |-49 – (-21)| = |-49 + 21| = |-28| = 28 feet
Correct Answer: (d) 28 feet

2. Tanvi had a keen interest to invest in share market. so, she took lessons from an investment coach. The coach told her to watch the fluctuations in the value of share over a period of time. She found that on April 1, the price of a share of XYZ company was ₹2552.

Q1: Price on April 2 after gaining ₹37?

April 1 price = ₹2552 Gained = ₹37
= ₹2552 + ₹37 = ₹2589
Correct Answer: (b) ₹2589

Q2: Price on April 3 after losing ₹16 + ₹8?

Previous price = ₹2589 Total loss = ₹16 + ₹8 = ₹24
= ₹2589 – ₹24 = ₹2565
Correct Answer: (b) ₹2565

Q3: Price on April 4 after gaining ₹25 + ₹14?

Previous price = ₹2565 Total gain = ₹11 + ₹14 = ₹25
= ₹2565 + ₹25 = ₹2590
Correct Answer: (c) ₹2590

Q4: Price on April 5 after losing ₹13 and gaining ₹4?

Previous price = ₹2590
Total change = -13 + 4 = -9
= ₹2590 – ₹9 = ₹2581
Correct Answer: (d) ₹2581