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7th Grade > Mathematics

INTEGERS MCQs

Total Questions : 115 | Page 3 of 12 pages
Question 21. State whether true or false: For all non-zero integers 'a' and 'b', a×b is always greater than either a or b.  
  1.    True
  2.    False
  3.    Sum of four integers can never be zero.
  4.    -14 > - 8 - (-7)
 Discuss Question
Answer: Option B. -> False
:
B
It is not always true. If one of the integers a is negative and the other one b is positive, then their product will be a negative integer, which is less than b.
Let's take an example:-4, 8
=4×8
=32
=32<8
Question 22. By what number should −240 be divided to obtain 16?
  1.    -15
  2.    15
  3.    -30
  4.    30
 Discuss Question
Answer: Option A. -> -15
:
A
Let the number be a.
16=240a
a=24016=15
Hence,-240 should be divided by -15 to obtain 16.
Question 23. For any integer b, b ÷ (-1) is ______.
  1.    b
  2.    1
  3.    −b
  4.    Not defined
 Discuss Question
Answer: Option C. -> −b
:
C
Here, for any integer b,
b1=b.
Question 24. The product of three negative integers is a __ integer.
 Discuss Question

:
The product of three negative integers is negative.
For example, 2×1×3=6
Question 25. A car travelled 60 km towards the north direction from a point A. From there, it travelled 100 km in the south direction. How far is the car from point A now?
  1.    40 km South
  2.    40 km North
  3.    160 km South
  4.    160 km North
 Discuss Question
Answer: Option A. -> 40 km South
:
A
Let's assume a car travelling toward North as positive and South as negative.
+60 + (- 100) = - 40. The car is 40 km South from point A.
Question 26. The number zero is an integer. The sign of this number is 
  1.    Positive
  2.    Negative
  3.    Does not have any sign
  4.    Sometimes positive, sometimes negative.
 Discuss Question
Answer: Option C. -> Does not have any sign
:
C
Zero has no sign. It isneither positive nor negative.
Question 27. Fill in the blank.
___ + 23 = 0
 Discuss Question

:
Let the number in blank be x.
According to question,
x + 23 = 0
So, x = 0 - 23 = - 23
Question 28. If x % y = x + y - xy, then 13 % 7 =  __
 Discuss Question

:
Given,x % y = x + y - xy
Therefore, x = 13 and y = 7
13 % 7 = 13 + 7 - 13 × 7 = -71
Question 29. Fill in the blank using greater or less to make the statement true.
8 -13 -15 is __  than -15 -39 + 6
 Discuss Question

:
LHS =
8+ (-13) - 15= 8 + (-28) = -20
RHS =
-15 + (-39) + 6 = -54 + 6 = -48
-20 >-48

8+ (-13) - 15is greater than-15-39+ 6
Question 30. For any integer a, a ÷ 0 is 
  1.    a
  2.    0
  3.    Not defined
  4.    1
 Discuss Question
Answer: Option C. -> Not defined
:
C
For any integer a, a ÷ 0 is not defined.
We know that, division is a repeated subtraction.
For example 15÷3 is
15-3 = 12
12-3 = 9
9-3 = 6
6-3 = 3
3-3 = 0
Therefore, 15÷3 = 5.

Similarly15 ÷ 0 is
15 - 0 = 15
15 - 0 = 15
15 - 0 = 15
15 - 0 = 15 and so on ...
Therefore, division of an integer by 0 is not defined.

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