How many digits will be there to the right of the decimal point in the

Question

Competition Mode Question

How many digits will be there to the right of the decimal point in the product of 95.75 and 0.02554 ?

A. 5
B. 6
C. 7
D. 8
E. None of these

EncounterGMAT · Accepted Answer

Total decimal places to the right = 7

However, 95.75 * 0.02554 would give the 7th demimal place as zero (because 5*4=2 0 ). Since we don't count the last number if its zero, then there would only be  6 decimal point s to the right.

Hence, answer is  option B

eakabuah · Answer

95.75 * 0.02554 = 9.575 * 0.2554 = 2.445455
Digits to the right of the decimal point =445455 
Hence there are 6 digits to the right of the decimal.

The answer is B.

Posted from my mobile device

freedom128 · Answer

95.75 * 0.02554 
= 95.75 * 25.54 * (1/1000)
= (383/4) * (1277/50) * (1/1000)
= (383*1277)/(200,000)
= (383*1277*5)/(1,000,000)

Estimate:
= (383*1277*5)/1,000,000 
= (400*1250*5)/1,000,000 
= 2,500,000/1,000,000
= 2.500000

So, it is about 6 decimal points

Answer is (B)

Posted from my mobile device

unraveled · Answer

How many digits will be there to the right of the decimal point in the product of 95.75 and 0.02554 ?

A. 5
B. 6
C. 7
D. 8
E. None of these

Both the two numbers have 2 and 5 digits respectively after decimal which after multiplication would result in 5 or greater number of digits. 
0.75 can be written as 3/4 where 0.02554 not being a multiple of 4 results in 6 digits when divided by 4.

Answer (B).

Archit3110 · Answer

9575*2554 *1/10^7 
the last digit of 9575*2554 will be 0 
so digits on right of decimal point shall be 6
IMO B

How many digits will be there to the right of the decimal point in the product of 95.75 and 0.02554 ?

A. 5
B. 6
C. 7
D. 8
E. None of these

exc4libur · Answer

Is there a quicker solution to this problem, besides the ones above?  Bunuel ,  VeritasKarishma .

Mohammadmo · Answer

95.75×0.02554=2.445445
Option B

Posted from my mobile device

KarishmaB · Answer

Note that we are multiplying 9575 with 2554 (and with total 7 decimal places).

2554 is divisible by 2 but not by 4. 
9475 is not divisible by 2 but it is divisible by 5. 
So when we multiply 9575 with 2554, we will end with one 0. 
When we move 7 places back the 0 will be ignored and we will have 6 non zero digits after the decimal.

Answer (B)

KittyDoodles · Answer

Hi  KarishmaB ,

How can we validate whether the second last digit will be zero or not.

Thanks
Kitty

KarishmaB · Answer

To make a 0, you need a 2 and a 5 as factors.

So e.g. 4637841 * 2 * 25 will have only one 0 at the end (called trailing zeroes) since we have only one pair of 2 and 5 available.

Similarly, 64746332 * 625 will end with exactly 2 trailing zeroes because 4 is a factor of 64746332 but 8 is not. Of course we have four 5s so 5s are more then enough but only two 2s hence we can make only two 10s ie only two trailing zeroes.

When we multiply 9575 with 2554, we get only one 2 from 2554 and two 5s from 9575 (which is divisible by 25). 
Hence we get only one trailing zero.

Posted from my mobile device

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

How many digits will be there to the right of the decimal point in the

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

How many digits will be there to the right of the decimal point in the

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards