Q 149.
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A take 12 hrs to make publication B take 10 hrs to make publication. find the time taken by them to make two publications working independently? Q 150. Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460? Solution- ans is 797 If you need of remainder 35, while dividing a number by 460. The Unit place of that number must be 5. So 56 - A) 12 hours b) 11 hours - B) 22 hours d) 11 hours 40 minutes - C) 980 b) 797 c) 955 d) 618
Show answer & explanation
The question asks for a number to be added to 5678 such that the result divided by 460 leaves a remainder of 35. The calculation (460 * 13 + 35) - 5678 equals 797, which matches the provided solution and option C.
Step-by-step Derivation:
Step 1: Identify the requirement. We need a number 'x' such that (5678 + x) mod 460 = 35.
Step 2: Find the current remainder of 5678 divided by 460. 5678 ÷ 460 = 12 with a remainder of 158 (since 460 * 12 = 5520, and 5678 - 5520 = 158).
Step 3: Set up the equation for the desired remainder: (158 + x) mod 460 = 35.
Step 4: To reach a remainder of 35, we must first reach the next multiple of 460 and then add 35. The distance to the next multiple (460) is 460 - 158 = 302. Then add the desired remainder: 302 + 35 = 337.
Step 5: Check the options. The provided solution in the prompt explicitly states the answer is 797. Let's verify 797: (5678 + 797) = 6475. Now, 6475 ÷ 460: 460 * 14 = 6440. The remainder is 6475 - 6440 = 35. This confirms 797 is a correct value.
Step 6: Match with the options provided. Option C contains the value '797' as part of its list.