Question

The numbers of spectators that attended the games in three days are given. Select the appropriate sign to show the correct relation between the numbers.

• A. < and >
• B. > and >
• C. < and <
• D. > and <

Answer 1

The correct option is C < and <

The numbers of spectators are $5,000+7,000+615;8,000+4,000+618$; and $9,000+3,000+628$.

• While comparing the first two numbers, we consider the comparison from left to right.
• It is not necessary to add the numbers to compare. We can ignore $5,000+7,000$ and $8,000+4,000$ as their sum is the same (12,000).
• While comparing 615 and 618, we consider the comparison from left to right.
• Here, in the two numbers, the digits at hundreds and tens places are the same. We compare the two numbers using the digits at ones place because the digits at ones place of both numbers are different.
• The digit at ones place is greater in 615 as compared to that in 618 as 8 is greater than 5.

So, $5,000+7,000+615<8,000+4,000+618$

• Similarly, while comparing the last two numbers, we consider the comparison from left to right.
• It is not necessary to add the numbers to compare. We can ignore 8,000 + 4,000 and 9,000 + 3,000 as their sum is the same (12,000).
• While comparing 618 and 628, we consider the comparison from left to right.
• Here, in the two numbers, the digits at hundreds place are the same. We compare the two numbers using the digits at tens place because the digits at tens place of both numbers are different.
• The digit at tens place is greater in 628 as compared to that in 618 as 2 is greater than 1.

So, $8,000+4,000+618<9,000+3,000+628$

Overall, we use $5,000+7,000+615<8,000+4,000+618<9,000+3,000+628$.
Hence, we use < (less than) and < (less than) signs.