15 × 7 × 10 + 15 × 7 = ?
What will come in place of the question mark (?) in the following questions?

The correct option is 1155.

To evaluate the given expression efficiently, we can use the distributive property of multiplication over addition, which states that:

$a\times b+a\times c=a\times (b+c)$

Let's break down the given expression step-by-step:

$15\times 7\times 10+15\times 7$

Notice that the term $15\times 7$ is common to both parts of the addition.

Step 1: Factor out the common term $(15\times 7)$:

$=(15\times 7)\times (10+1)$

Step 2: Calculate the value inside the parentheses:

$10+1=11$

Step 3: Multiply $15$ by $7$:

$15\times 7=105$

Step 4: Multiply the result by $11$:

$=105\times 11=1155$

Thus, the value that will come in place of the question mark (?) is 1155.