Number System - Questions & Discussions

Two four digit numbers are written side by side to form an eight digit number which is divisible by the product of the two nos. The pair is

a) 1234 & 5678 b) 5000 & 2000 c) 1334 & 3667 d) 3334 & 1667


we can do it by elimination.

1234 and 5678 are not possible, cos their product is a multiple of 4, while whether the 8 digit number ends with 1234 or 5678, the number will not be divisible by 4.

5000 and 2000, not possible cos the 8 digit number will be a multiple of 1000 only, while the product of the numbers should be a multiple of 1000^3.

For the last two options, only the 4th one satisfies. Cos 3334 = 1667*2
The 8 digit number has to be even cos the product will be even, so the number should be 16673334. When this is divided by 1667, the quotient is 10002. Now one manual division should be enough to see that 10002 when divided by 3334 gives a quotient of 3.
So answer should be the 4th option.( not looking at the 3rd option cos only one option is correct it is assumed)
let no of coins wid
arun=x
bikas=y
chetakar=z
after 1st operation
arun=x-2y-2z
bikas=3y
chetkar=3z
after 2nd operation
arun=3x-6y-6z
bikas=7y-2x-2z
chetkar=9z

now,we get 2 equations
7y-2x-2z=20
x+y+z=80

solving we get y=20

so,20 coins is the answer.
Hope it's clear



20 is not given in the options...
krishnaghosh Says
20 is not given in the options...


arun sharma has got many wrong answers..
It's cent percent correct...
arun sharma has got many wrong answers..
It's cent percent correct...


i guess so...anyways this only seems to be the logical and correct answer...thanks for your help

hello can u tell me how to solve
what are the number of digits in i) (2ABC)^4
ii)square root of a 15-digit number
iii)6 digit*7 digit*12 digit number
thank u:)

hello can u tell me how to solve
what are the number of digits in i) (2ABC)^4
ii)square root of a 15-digit number
iii)6 digit*7 digit*12 digit number
thank u:)



1. deciding factors here is thousand place i.e 2000
2000^4 = 16 * 10^12 i.e number of digits in (2ABC)^4 = 13

2.

x ^2 * (10 ^14)^2 = x^2 * 10^28

Case 1 : when first digit is 1,2,3 from left

then number of digits will be 28

Case 2: when first digit is 1 t0 9 except 1,2,3 from left

when x= 4 i.e 4^2 =16 that's mean we added one more digit

i.e number of digits become 29

3. I didn't get it.

Can someone please help me and tell how to solve the following question:
A team of miners planned to mine 1800 tons of ore during a certain number of days.Due to technical difficulties in one third of the planned number of days, the team was able to achieve an output of 20 tons of ore less than then planned output. To make up for this, the team overachieved for the rest of the days by 20 tons.The end result was that the team completed the task one day ahead of time.How many tons of ore did the team initially plan to ore per day?

can any1 solve this question
Q- how many numbers between 100 to 400 are divisible by either 2,3,5,7?
plzz tell me the short cut

Can someone please help me and tell how to solve the following question

how many numbers between 100 to 400 are divisible by either 2,3,5,7?
plzzz tel mee the short cut

1. deciding factors here is thousand place i.e 2000
2000^4 = 16 * 10^12 i.e number of digits in (2ABC)^4 = 13

2.

x ^2 * (10 ^14)^2 = x^2 * 10^28

Case 1 : when first digit is 1,2,3 from left

then number of digits will be 28

Case 2: when first digit is 1 t0 9 except 1,2,3 from left

when x= 4 i.e 4^2 =16 that's mean we added one more digit

i.e number of digits become 29

3. I didn't get it.



how can the answer be 28 in the second question when the number whose sq. root has to be found is in itself a 15 digit number
from my point f view the thr shud be 8 digit number as 1 of the answer
plzz reply

shaksham123 buddy i hv dn dat. Itz easy. Jst chk d problm gvn as exampl abov dt ques in arun sharma. If u ask i cn gv u d soln. Bt try 1st!

Can someone please help me and tell how to solve the following question:
A team of miners planned to mine 1800 tons of ore during a certain number of days.Due to technical difficulties in one third of the planned number of days, the team was able to achieve an output of 20 tons of ore less than then planned output. To make up for this, the team overachieved for the rest of the days by 20 tons.The end result was that the team completed the task one day ahead of time.How many tons of ore did the team initially plan to ore per day?

my ans is 60. . . . .
Can someone please help me and tell how to solve the following question:
A team of miners planned to mine 1800 tons of ore during a certain number of days.Due to technical difficulties in one third of the planned number of days, the team was able to achieve an output of 20 tons of ore less than then planned output. To make up for this, the team overachieved for the rest of the days by 20 tons.The end result was that the team completed the task one day ahead of time.How many tons of ore did the team initially plan to ore per day?

ans is 1oo tons per day
can any1 solve this question
Q- how many numbers between 100 to 400 are divisible by either 2,3,5,7?
plzz tell me the short cut

ans is 231 .
i tell u shortcut . take a small eg first : cal all no. divisible by either 5 or 7 from 1 to 20.
= 20(1-1/5)(1-1/7)=13.7=14
now 20-14=6 such no.s and they r 5,10,15,20,7,14.
similarly here 400(1-1/2)(1-1/3)(1-1/5)(1-1/7) get it and sub from 400. do same for no. below 100 and sub this value from below 400 one.
Can someone please help me and tell how to solve the following question:
A team of miners planned to mine 1800 tons of ore during a certain number of days.Due to technical difficulties in one third of the planned number of days, the team was able to achieve an output of 20 tons of ore less than then planned output. To make up for this, the team overachieved for the rest of the days by 20 tons.The end result was that the team completed the task one day ahead of time.How many tons of ore did the team initially plan to ore per day?

pls provide options.. For such problems its easier when options are provided!!
EagleMenace Says
pls provide options.. For such problems its easier when options are provided!!


options are
100
150
200
250
50


please explain how to approach such a problem.
options are
100
150
200
250
50


please explain how to approach such a problem.

Assume x is the number of days required do to 1800 tons of work..
T-tons per day

According to there plan they shd have completed work in Tx=1800--(1)

but they were short of it due to hindrances
(T-20)x/3+(T+20)*(2x/3 - 1)=1800
2x/3-1 because they completed the remaining work in 2/3 days - 1 days

simplify

600+20x/3 + 1200 -T - 20 = 1800

T+20=20x/3----(2)

3T(T+20) = 36000 ------------>(From (1) x=1800/T)

T(T+20) = 12000

T = 100
options are
100
150
200
250
50


please explain how to approach such a problem.


look dude,you can by two methods..
1st
let no of days=x
work done per day=y
now we have two equations
x*y=1800 and
x/3*(y-20)+(2x-3/3)*(y+20)=1800
solving we get
20x=3y+60
so y=20x-60/3
putting y in x*y=1800
we get x=18
so y=100

2nd method.
Just go by options.
Suppose take answer as 100
then cross check.
No of day=1800/100
=18
so as per questn
in 6 days
6*80=480tons work is done.
So now in 11 days(wrk is cmpltd bfr 1 day)
work done should be
1800-480=1320.
Check for 11*120
it comes as 1320.
So 100 is correct

There is a good approach in solving such questions.....firstly you need to find out the prime numbers of 6 and the highest number in factors of 6 is 3 so divide 34/3 and then divide 34/9 and afterward divide 34/27.....what we are doing here is we are increasing the power of denominator to get the answer.....so the answer would perhaps gonna be 15.....

Hey puys ,

Please help on these problems.
Source from Biju material.

Question :1
find b in terms of a.Given that (4096)^0.5=(ab^3)^1%3.
a)sqr rt a b)a^2 c) a^8 d) a^4

Question :2
Find the sum of the series N=1/3+1/15+1/35+.......100 terms
a)99/199 b)1/199 c)100/201 d)none of these

Question :3
A fibonacci series is a number series in which the nth term is given by
Tn=Tn-1+Tn+1 .Also T1=1 T2=1

the 66 th term of the series is
a)odd b)even c)cannot be determined d) none of these

Question:4

N=(323232...50 digits )in base 9.Find the remainder when the number is divided by 8?

a)1 b)-1 c)0 d)none of these

Please post the detail solution.
Thanks in Adance

Regards
Rajiv