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# the five digit number 7500a8 is divisible by 4. how many values of a are possible?

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## Problems on Numbers System: Level 01

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Which of the following is an odd prime number?

1. 1 2. 9 3. 3 4. 15

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What least digit should come in place of # in the 9 digit number 15549#325, for which the number is divisible by 3?

1. 0 2. 1 3. 2 4. Any of these

What is the product of smallest 15 whole numbers?

1. 1 2. 0

3. 25 4. 60

What is the sum of first 10 perfect cubes?

1. 3025 2. 5625 3. 1225 4. None of these

What is the difference between the greatest 5 digit number and the smallest 5 digit number?

1. 99998 2. 89999 3. 89990 4. 99990

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A 107 digit number is formed by writing first 58 natural numbers next to each other. Find the remainder when number is divided by 8.

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The five digit number 7500A8 is divisible by 4. How many values of A are possible?

1. 0 2. 3 3. 5 4. 4 Suggested Action:

What is the sum of this series 1 + 1 + 2 + 8 + 3+ 27 + 4 + 64 +_______10 + 1000?

1. 308 2. 3008 3. 3800 4. 3080

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### Problems on Numbers System : Level 02

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## The five digit number 7500A8 is divisible by 4. How many values of A are possible?

Answer (1 of 3): Hi , Since if the number formed by the last two individual digits is divisible by 4 , then the whole number is divisible by 4 . So the last two digits of the given number will 08 , 28 , 48 , 68 , 88 . Hence the possible values of A will be 0 , 2 , 4 , 8 . Thanks .

The five digit number 7500A8 is divisible by 4. How many values of A are possible?

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For a number to be divisible by 4, the last two digits must be divisible by 4. Hence, the possible values for A are 0,2,4,6 and 8. So total 5 values are possible

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A six digit number is formed by repeating a three digit number; for example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible by : (1) 7 only (2) 11 only (3) 13 only (4) 1001?

What is the sum of all natural numbers between 300 and 400 which are divisible by 17?

Saurabh Tiwary

Bachelor in Computers in Engineering, University of Mumbai (Graduated 2020)3y

I consider this question to be hypothetical one as you’ve mentioned the number is of five digit but A adds another digit which doesn’t fit the category!

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Deepak Pandey

Mathematics Learner & Teacher , Writer , Poet at Hindi Blog - Shayarimug.blogspot.com (2020–present)Author has 88 answers and 67.2K answer views3y

Hi ,

Since if the number formed by the last two individual digits is divisible by 4 , then the whole number is divisible by 4 .

So the last two digits of the given number will 08 , 28 , 48 , 68 , 88 .

Hence the possible values of A will be 0 , 2 , 4 , 8 .

Thanks .

Gopalkrishna Vishwanath

I didn't ask questions earlier. Now, as a QPP partner, I do.Author has 12.3K answers and 123.8M answer views2y

Related

Here is how I did it. I used Excel. My answer is 1.7057.

James Green

Studied Computer Science at Utah State UniversityAuthor has 58 answers and 19.8K answer views1y

Related

The five-digit number 24A8B is divisible by 4, 5, and 9. How do you determine it?

Solve for B

To answer this, we need to examine the properties of numbers.

A number is even if it can be written as a product of two, i.e

x=2k x=2k

. Since 4 is divisible by two, then we know that B of the number is either 0, 2, 4, 6, or 8.

Further, any number that is divisible by five can be written as

x=5k x=5k

. Therefore, B is an even number divisible by five. From this, we know that B must be zero.

24A80 Solving for A

This part is actually easy as there are two ways to discover it. First, it must be a number between 0 and 9, so you could brute force it. However, we will stick to numerical properties.

One

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How many 7- digit numbers are divisible by 4?

If we are limiting ourselves to integers, first note that 100 = 25×4, so 100 is a multiple of 4, and therefore any multiple of 100 is as multiple of 25. So 100000 (one million, the smallest 7 digit positive integer) is a multiple of 4, and 10000000 (ten million, the positive integer which immediately follows after the largest 7 digit positive integer) is a multiple of 4. Obviously, since 1000000 is the smallest 7 digit positive integer and it is divisible by 4, 1000000 is the smallest 7 digit positive integer that is divisible by 4.

Next, since 10000000 is a multiple of 4, 10000000–4 = 9999996

Marilyn Fish

Former Retired Music Teacher2y

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What is a 2-digit number greater than 70 that is divisible by 6 and 7?

84

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Keith Derrick

Programming professionally since 1978 and as a hobby since 1972Author has 672 answers and 1.1M answer views5y

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What is the smallest 4-digit number?

Define ‘smallest’?

Closest to zero? There’s two of them .0001 and -.0001 (if you ignore the zero before the decimal)

Furthest left on the number line? Probably -9999

Smallest positive number? Probably 1000

George Mikel

Studies Computer Science and Mathematics (Expected 2023)2y

Related

Which four consecutive numbers add up to 108?

Suppose the first number is x

x + (x + 1) + (x + 2) + (x + 3) = 108

4x + 6 = 108 4x = 102 x = 25.5

Since the answer we got isn’t an integer, such consecutive numbers do not exist

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## The five digit number 7500A8 is divisible by 4. How many values of A are possible?

Posted on November 23, 2020 | By

Interview Questions and answers › Category: Problems on Numbers › The five digit number 7500A8 is divisible by 4. How many values of A are possible?

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