Question : When positive numbers a,b, and c are divided by 13, the remainder are 9, 7, and 10, respectively. What will be the remainder when (a + 2b + 5c) is divided by 13?
Option 1: 8
Option 2: 9
Option 3: 5
Option 4: 10
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 8
Solution :
Let the quotient be 1.
a = 13 × 1 + 9
= 22
b = 13 × 1 + 7
= 20
c = 13 × 1 + 10
= 23
Now, putting the values, we get:
a + 2b + 5c
= 22 + 2 × 20 + 5 × 23
= 22 + 40 + 115
= 177
Remainder = $\frac{177}{13}$ = 8
Hence, the correct answer is 8.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
