Here , d = 33
If two numbers are separately divided by a certain divisor (d) leaving remainders r₁ and r₂, then remainder after their sum is divided by the same divisor.

Correct Option: D

Here , d = 33
If two numbers are separately divided by a certain divisor (d) leaving remainders r₁ and r₂, then remainder after their sum is divided by the same divisor.
Required Remainder = r₁ + r₂ – d
Required Remainder = 21 + 28 – 33 = 16

Given , Remainder = 46
As per the given question ,
Divisor = 5 × Remainder
Divisor = 5 × 46 = 230
And Divisor = 10 × Quotient

Correct Option: D

Given , Remainder = 46
As per the given question ,
Divisor = 5 × Remainder
Divisor = 5 × 46 = 230
And Divisor = 10 × Quotient

According to question ,

Correct Option: B

According to question ,

Let the unknown number be p.
∴  71 × p + 47 = 98 × 7
⇒   71p = 686 – 47 = 639

Correct Option: D

Let the unknown number be p.
∴  71 × p + 47 = 98 × 7
⇒   71p = 686 – 47 = 639

Here, the first divisor (91) is a multiple of second divisor (13).

Correct Option: B

Here, the first divisor (91) is a multiple of second divisor (13).
∴ Required remainder = Remainder obtained on dividing 17 by 13
⇒ 17 = ( 13 × 1 ) + 4
Hence Required remainder = 4