The largest 4 digit number exactly divisible by 88 is?

Appeared in: HSSC Staff Nurse - 2015

Explanation

The largest 4-digit number is 9999.
To find the largest 4-digit number divisible by 88, we first divide 9999 by 88.
The division of 9999 by 88 yields a remainder of 55.
Subtracting this remainder from 9999 gives the required number: 9999 - 55 = 9944.
This number, 9944, is the largest 4-digit number that is perfectly divisible by 88 (9944 / 88 = 113).

Option B: Although 9768 is divisible by 88 (9768 ÷ 88 = 111), it is not the largest 4-digit number with this property. 9944 is larger.
Option C: 9988 is not exactly divisible by 88. Dividing 9988 by 88 results in a decimal (113.5), meaning there is a remainder.
Option D: Although 8888 is divisible by 88 (8888 ÷ 88 = 101), it is significantly smaller than 9944 and therefore not the 'largest' 4-digit number divisible by 88.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Divisibility and Number Properties as background academic context rather than a clinical decision trigger.
This question tests basic numeracy and logical reasoning, which are foundational skills for nurses.
Accurate calculation is critical in nursing for tasks such as medication dosage calculation, IV drip rate adjustments, and interpreting patient data charts.
What if the question asked for the smallest 4-digit number divisible by 88? You would start with the smallest 4-digit number (1000), divide by 88 to find the remainder (36), and then calculate 1000 - 36 + 88 = 1052.

How to Approach the Question

First, identify the key constraints in the question: 'largest', '4-digit', and 'exactly divisible by 88'.
Start with the largest possible number that fits the digit constraint. The largest 4-digit number is 9999.
To find the number that is 'exactly divisible', perform a division of your starting number (9999) by the divisor (88).
The remainder from this division is the 'excess'. The number you want is the starting number minus this remainder.
Calculate this subtraction to find the final answer.
Check the options to see if your calculated answer is present.

Concept Tested & Keywords

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Attempt every question from this paper in a timed mock, then review the full solution for each one.