Page 288 - Ganit Kaushal

21. Suppose you start with 0 rupees in your bank account, and then you have credits of `30, `40, and `50,
and debits of `40, `50, and `60. What is your bank account balance now?
22. Suppose you start with 0 rupees in your bank account, and then you have debits of `1, `2, `4, `8, `16,
`32, `64, and `128, and then a single credit of `256. What is your bank account balance now?
23. In the following square grids, follow the procedure of circling and striking out the row and columns
as explained in example 22. What sum do you get?
7 10 4 13 –24 –20 –16 –12

2 5 –1 8 –8 –4 0 4
(a) (b)
–11 –8 –14 –5 8 12 16 20
6 9 3 12 24 28 32 36

Assertion Reason Type Questions
A statement of assertion (A) is followed by a statement of reason (R). Choose the correct option out of the
choices given below for each question:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.

1. Assertion (A): The sum of all negative integers is less than zero.
Reason (R): 0 is the smallest whole number.
2. Assertion (A): A car travels 500 metres south and then 500 metres north. The distance travelled by
the car is zero.
Reason (R): To find the total distance travelled, we add the absolute values of the distances.

3. Assertion (A): 100 + (−100) = −100 + 100 = 0
Reason (R): For every integer a, there exists an integer –a such that a + (–a) = –a + a = 0.
4. Assertion (A): −240 + 240 − 240 + 240 − 240 + … up to 100 terms = 0.
Reason (R): Each pair of equal and opposite numbers will cancel each other out.
5. Assertion (A): There are 10 integers between 5 and 5.
Reason (R): The sum of all integers from –5 to 5 is zero.
6. Assertion (A): –9 + | –9 | = 0
Reason (R): The sum of any integer and its absolute value is zero.
Case Study Based Questions
A physics exam consists of two parts, Part A and Part B.

Part A consists of 10 questions with the following marking scheme:
• +3 for a correct answer
• –2 for a wrong answer
• 0 for an unattempted question.
Part B contains 6 subjective questions with the following marking scheme:
• +6 for a correct answer

• +3 for a partially correct answer (even if the final answer is not correct)
• 0 for an incorrect solution or an unattempted question.

286 Mathematics-6