Question

Difference of sums of 998 and -486 from 290 and 732:
A. -510
B. 510
C. -1022
D. 512

Answer 1

Hint: We are given four 3 – digit numbers and we will first calculate the sum of 998 with -486 and 290 with 732 separately. We will then find the difference of the sum of 998 with -486 from the sum of 290 with 732. Then we will see if any of the options matches the obtained value.

Complete step by step answer:

We have four 3 – digit numbers given in the question.
First, we are said in the question the difference of sums of 998 and -486 from 290 and 732.
The difference of sums means first, we will calculate the sum of the pairs of 3 – digit numbers and then we will calculate the difference of their individual sums.
The sum of 998 and -486 will be: $998 + \left( { - 486} \right)$
$ \Rightarrow 998 + \left( { - 486} \right) = 998 - 486 = 512$
And, the sum of 290 and 732 will be: 290 + 732
$ \Rightarrow $290 + 732 = 1022
Now, we need to find the difference between the sums of 998 and -486 from 290 and 732.
Therefore, the difference of 512 from 1022 will be: 1022 – 512
$ \Rightarrow $1022 – 512 = 510
Hence, the difference between sums of 998 and -486 from 290 and 732 is 510.
Therefore, Option(B) is correct.

Note: In such questions, you must pay sheer attention to the words stated in the questions. You may get confused with which operation should be solved first i.e., either sum or difference of the numbers. You can also go wrong while calculating the sums of individual digits.