a) 29

b) 19

c) 23

d) 13

correct answer is: c) 23

Explanation

If we start from the end because it is a case of successive division (here number 5), then we get:
KaTeX parse error: KaTeX doesn't work in quirks mode. is the number which will leave a remainder of KaTeX parse error: KaTeX doesn't work in quirks mode. after divided by KaTeX parse error: KaTeX doesn't work in quirks mode..
KaTeX parse error: KaTeX doesn't work in quirks mode. is the number which will leave a remainder of KaTeX parse error: KaTeX doesn't work in quirks mode. after divided by KaTeX parse error: KaTeX doesn't work in quirks mode..
KaTeX parse error: KaTeX doesn't work in quirks mode. is the number which will leave a remainder of KaTeX parse error: KaTeX doesn't work in quirks mode. after divided by KaTeX parse error: KaTeX doesn't work in quirks mode..
On opening the brackets, we get:
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
Now if we divide this number by KaTeX parse error: KaTeX doesn't work in quirks mode. then we get:
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.

So, here we find that dividing the number by KaTeX parse error: KaTeX doesn't work in quirks mode. leaves KaTeX parse error: KaTeX doesn't work in quirks mode. as the remainder.
KaTeX parse error: KaTeX doesn't work in quirks mode. If we divided the number by KaTeX parse error: KaTeX doesn't work in quirks mode. then the remainder will be KaTeX parse error: KaTeX doesn't work in quirks mode..
And the number is KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
Ans: The number is 53 which divided by 2, 3 and 5 in succession the remainders are 1, 2 and 3 respectively and if it is divided by 30 then the remainder will be 23.

Alternative phrasings for this particular query are:

1. Finding remainder when a number is divided successively by 2, 3, and 5, with remainders 1, 2, and 3, and then by 30.
2. What will be the remaining value when a number, with remainders 1, 2, and 3 in divisions by 2, 3, and 5 respectively, is divided by 30?
3. How to find the remainder when a number, after being divided by 2, 3, and 5 with specific remainders, is further divided by 30?