If A = +5, then B is:
3
-3
5 - 3
3 - 5
Answer
On the given number line, the point A lies 5 units to the right of 0, which fixes the scale of the number line. The point B lies 3 units to the left of 0, so B = -3.
Hence, option 2 is the correct option.
If m and n are two negative integers such that m ≥ n, then:
m = n
m - n ≥ 0
m + n ≥ 0
none of these
Answer
Given, m and n are two negative integers such that m ≥ n.
If m > n, then m - n > 0.
If m = n, then m - n = 0.
Therefore, in both cases, m - n ≥ 0.
So, option 2 is true.
Checking the other options:
m = n need not always be true, because m may be greater than n.
Also, since both m and n are negative integers, m + n is always negative, so m + n ≥ 0 is false.
Hence, option 2 is the correct option.
P is an integer such that P + (negative of P) = 0; then:
P is a positive integer
P is a negative integer
P is positive or negative
P is positive and negative
Answer
For every integer P, we have P + (-P) = 0, where -P is the negative (opposite) of P. This holds whether P is positive or negative.
Hence, option 3 is the correct option.
The given number line shows:
-3 + 5
-3 + 2
-2 + 5
3 - 5
Answer
On the given number line, the movement starts at 3 and goes 5 units to the left, ending at -2. This represents 3 - 5.
Hence, option 4 is the correct option.
The given number line shows:
-1 + 2
2 - 1
1 + 2
-1 + 3
Answer
On the given number line, the movement starts at -1 and goes 3 units to the right, ending at 2. This represents -1 + 3.
Hence, option 4 is the correct option.
The given number line shows:
4 - 1
-1 - 4
5 - 4
4 - 5
Answer
On the given number line, the movement starts at 4 and goes 5 units to the left, ending at -1. This represents 4 - 5.
Hence, option 4 is the correct option.
The number of integers between 5 and 15 is:
10
9
11
12
Answer
The integers strictly between 5 and 15 are 6, 7, 8, 9, 10, 11, 12, 13 and 14.
Counting them gives 9 integers.
Hence, option 2 is the correct option.
If +500 represents a gain of ₹ 500, then 0 represents:
loss of 500
no loss no gain
nothing
none of these
Answer
A positive integer represents a gain and a negative integer represents a loss. The integer 0 is neither positive nor negative, so it represents a situation of neither gain nor loss.
Hence, option 2 is the correct option.