Mathematical Ordering Quiz – 1

Solution:

Using proper notations in (2), we get the statement as 5 × 2 + 1 = 3 × 4 - 1 or 11 = 11 which is true.

Solution:

From the given expression 75 ÷ 5 + 3 × 4 - 6= 15 + 12 - 6 = 21

Solution:
From the given expression 40 + 12 ÷ 3 × 6 - 60= 40 + 4 × 6 - 60 = 40 + 24 - 60 = 4

Solution:
Using the correct symbols, we have:
Given expression = 18 x 12 ÷ 4 + 5 – 6 = 18 x 3 + 5 – 6 = 54 + 5 – 6 = 59 – 6 = 53.

Solution:

Solution:
19^{3}\times 19^{P}=19^{7}
It is in the form,
a^{m}\times a^{n}=a^{m+n}
Here,
m=3,n=P and m+n=7
therefore,
3+P=7
P=7-3
P=4

Solution:
-4-(-10)=-4+10=6
-10-(-4)=-10+4=-6
Therefore, 6-(-6) = 6+6 = 12

Solution:

In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms.

Now x^{2} + x^{2}=2x^{2}

Hence, x-squared plus x-squared is equal to 2 times x squared.

Solution:
Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.

Then, 2x + 3y = 77 ...(i) and

3x + 2y = 73 ...(ii)

Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.

Putting y = 17 in (i), we get: x = 13

Solution:

By making the interchanges given in (a)
2 – 5 + 3 = 4 or 0 = 4, which is false.
By making the interchanges given in (b)
3 – 2 + 5 = 4 or 6 = 4, which is false.
By making the interchanges given in (c)
5 – 3 + 2 = 4 or 4 = 4, which is true.