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7th Grade > Mathematics

INTEGERS MCQs

Total Questions : 115 | Page 6 of 12 pages
Question 51. Andy has Rs.1540 in his pocket and he spent Rs.250 on his hair cutting and Rs.115 on his face wash. Find the amount left with him. [2 MARKS]
 Discuss Question

:
Steps: 1 Mark
Result: 1 Mark
Given: Total Amount Andy had = Rs. 1540
Total amount spendby him
= Rs. 250 + Rs. 115 = Rs. 365

Total amount left = (Total Amount Andy had) - (Total amount spendby him)
Total amount left = Rs. 1540 - Rs. 365
= Rs. 1175
Hence, the total amount leftwith Andy is Rs.1175.
Question 52. In a class test containing 15 questions, 4 marks are given for every correct answer and (–2) marks are given for every incorrect answer.  ​​​​​
(i) Gurpreet attempts all questions but only 9 of her answers are correct. What is her total score?
(ii) One of her friends gets only 5 answers correct. What will be her score?  [3 MARKS]
 Discuss Question

:
Application: 1 Mark
Steps: 1 Mark
Result: 1 Mark

(i) Marks given for one correct answer = 4
So, marks given for 9 correct answers
= 4 × 9 = 36
Marks given for one incorrect answer = – 2
So, marksfor 6 (15 – 9) incorrect answers
= (–2) × 6 = –12
Therefore, Gurpreet’s total score
= 36 + ( –12) = 24
(ii) Marks given for one correct answer = 4
So, marks given for 5 correct answers
= 4 × 5 = 20
Marks given for one incorrect answer
= (–2)
So, marks for 10 (15 – 5) incorrect answers = (–2) × 10 = –20
Therefore, her friend’s total score
= 20 + ( –20) = 0
Question 53. Define Integers.  [1 MARK]
 Discuss Question

:
Definition: 1 Mark
Integers are the set of whole numbers and their negatives. Integers greater than zero are called positive integers while integers less than zero are called negative integers.
Question 54. In a test, +2 marks are given for each correct answer and ( - 1 ) for each wrong answer. A student scored 21 and answered 12 questions correctly. How many questions did he answer incorrect?  How many questions did he attempt in total? [4 MARKS]
 Discuss Question

:
Steps: 2 Marks
Result: 1 Mark
It is given that, in a test
Marks given for each correct answer = +2

Marks given for each wrong answer = ( -1 )
Marks obtained by 12 correct questions = 12 × 2 = 24
Marks obtained by student = 21
So, total negative marks = 24 - 21 = 3
So,the total number of incorrect questions = 3÷1 = 3
Total number of questions he attempted= Number of correct questions + number of incorrect question
= 12 + 3 = 15
So, the total number of questions the student attempted is 15.
Question 55. The marks obtained by a student in a subject in three different tests were 20, 12, (-4). What are the total marks obtained by the student in that subject? What is the minimum number of marks he needs to score in the 4th test if the passing marks are 40?
[2 MARKS]
 Discuss Question

:
Total Marks: 1 Mark
Minimum Marks:1 Mark
The marks obtained by the student are
= 20, 12, (-4)
The total overall marks = 20 + 12 + (-4)
= 20 + 12 - 4
= 32 - 4
= 28
Given that
A student needs to score 40 in order to pass.
So, the number of marks the student needs to get on the 4th test to pass = 40 - 28 = 12
The student needs to score 12 marks in the 4th test to pass.

Question 56.


What will be the sign of the product if we multiply 12 negative integers together?  [1 MARK]


 Discuss Question
Answer: Option A. ->
:

As we know that the product of two negative integers is always positive. Hence, when we multiply 12 negative integers, we can treat these 12 integers like 6 pairs of negative integers. Each pair will give us a positive integer. Hence the overall multiple will be a positive integer.


Question 57.


Define commutative property of addition of integers with the help of an example.  [2 MARKS]


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Answer: Option A. ->
:

Definition: 1 Mark
Example: 1 Mark
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. 
So, if we add any number of integers in any order the result will be the same.
For addition, the rule is "a + b = b + a".
Example
2 + 3 = 3 + 2 = 5.


Question 58.


Arrange the following integers in ascending order and represent them on the number line: 2, 5, (-1), (-4), (-5)  
[2 MARKS] 


 Discuss Question
Answer: Option A. ->
:

Ascending Order : 1 Mark
Representation on number line : 1 Mark
Integers in ascending order: (-5), (-4), (-1), 2, 5


Arrange The Following Integers In Ascending Order And Repres...


Question 59.


What will be the output of the equation:
(a ÷ b) × (c) where 'a' and 'b' are positive integers and 'c' is a negative integer?  [2 MARKS]


 Discuss Question
Answer: Option A. ->
:

Concept: 1 Mark
Result: 1 Mark
The result will be a negative integer as multiplication of one negative and one positive integer will result in a negative integer.

(a ÷ b) = + integer
(+)×()=() integer


Question 60.


Using the number line find the integer in the following cases : [3 MARKS]


(a) Sum of 5 and -3


(b) 5 less than 3


(c) 4 more than -1


 Discuss Question
Answer: Option A. ->
:

Each option: 1 Mark
(a) We first move to the right of 0 by 5 steps reaching 5. Then we move 3 steps to the left of 5 reaching 2.
 Using The Number Line Find The Integer In The Following Case...
 We get, (+5)+(3)=2
(b) We want to know an integer which is 5 less than 3 for that we need to start from 3 and move to the left by 5 steps and obtain –2 as shown below:
 Using The Number Line Find The Integer In The Following Case...
(c) We want to know the integer which is 4 more than –1. So, we start from –1 and proceed 4 steps to the right of –1 to reach 3 as shown below:
   Using The Number Line Find The Integer In The Following Case...


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