We have to make numbers by using the digits 1,4,9,5,5,2,5. A numbers are less than 2000000, B num

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13 May 2010 P and C

We have to make numbers by using the digits 1,4,9,5,5,2,5.
A numbers are less than 2000000, B numbers are between 2000000 and 4000000,
C numbers are between 4000000 and 6000000,
D numbers are between 6000000 and 8000000
and E numbers are greater than 8000000, then
4A + 3B - 2C + 5D + 3E =

OPtion

1) 0
2) 300
3) 120
4) 480
5) 240
6) 360
7) 720
8) 600
9) -120
10) -360

Solution

Numbers less than 2000000 will start from 1 only
Hence A = (1*6*5*4*3*2*1)/ (3*2*1) = 120
Numbers between 2000000 and 4000000 will start from 2 only
Hence B = (1*6*5*4*3*2*1)/ (3*2*1) = 120
Numbers between 4000000 and 6000000 will start from 4 and 5
Hence C = (4*6*5*4*3*2*1)/ (3*2*1) = 480
There is no possibility for a number to be between 6000000 and 8000000.
Hence D = 0
Numbers greater than 8000000 will start from 9 only
Hence E = (1*6*5*4*3*2*1)/ (3*2*1) = 120
Thus 4A + 3B - 2C + 5D + 3E
= 4*120 + 3*120 - 2*480 + 5*0 + 3*120
= 240

Correct Option: 5 Best Solution (5)

kewal   14 years AGO

A=6!/3!
B=6!/3!
C=6!/3!+6!/2!
D=0....... No number starts with 6 or 7.
E=6!/3!

=>A=B=E

hence 4A + 3B – 2C + 5D + 3E= 240

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Dr.Dipin Singh   14 years AGO

A=120
B=120
C= 480
D=0
E=120



So 4A + 3B – 2C + 5D + 3E= 1200-960 =240

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Pargat Pal Singh   14 years AGO

A=B= E=120

C= 480
D=0




Hence 4A + 3B – 2C + 5D + 3E =
= 1200-960 =240

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Mayur   14 years AGO

4A + 3B - 2C + 5D + 3E = 480+360-960+0+360 =240

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Bawa   14 years AGO

A=B=E = 120
C=480
D= 0 as there is no such numbers.

Then given expression has value 240.

Like? Yes (1) | No