a) 807

b) 811

c) 813

d) 819

correct answer is: d) 819

Explanation

Here,
The last quotient is ‘19’ which divisor is ‘7’ and remainder is ‘3’ .
We know,
Dividend = (divisor \times quotient) + remainder
\therefore Dividend is =\left(7\times19\right)+3
\rightarrow 136
\therefore last number is ‘136’ .
Since it is a case of successive division, so:
Middle number is: \left(3\times136+1\ \right) _{[here 3 divisor & 1 remainder]}
\rightarrow 409
\therefore Middle number is ‘409’ .
And, first number is: \left(2\times409+1\right) _{[here 2 divisor & 1 remainder]}
\rightarrow 819

So, the actual number is 819 which when divide by 2, 3, 7 in succession then the remainders are 1, 1, 3 respectively.
Ans: 819 is the number which when divide by 2, 3, 7 in succession then the remainders are 1, 1, 3 respectively.

This precise question can be conveyed differently as well:

1. Finding the number after successive division by 2, 3, and 7 with remainders 1, 1, and 3, and final quotient 19.
2. Determining the original number after being divided by 2, 3, and 7 with specific remainders, and last quotient 19.
3. Calculate the number given remainders 1, 1, 3 after successive division by 2, 3, and 7, with final quotient 19.
4. What is the original number when divided by 2, 3, and 7 with remainders 1, 1, 3, and last quotient 19?
5. How to find the number after division by 2, 3, and 7 with remainders 1, 1, 3, and last quotient 19?