Latest TCS Aptitude Question SOLUTION: TCS que that i faced .... a, b, c, d, e are distinct numbers.... If (75-a)(75-b)(75-c)(75-d)(75-e)= 2299 then a+b+c+d = ? Hint(as given): 2299 is divisible by 11.

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(#M40022904) TCS question Keep an EYE

TCS que that i faced ....
a, b, c, d, e are distinct numbers....
If
(75-a)(75-b)(75-c)(75-d)(75-e)= 2299
then a+b+c+d = ?

Hint(as given): 2299 is divisible by 11.

Asked In TCS Rajarshi Bhattacharyya (10 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

sanjib paul  (10 years ago)

let a=64,b=56,c=86,d=76,and e=74.
now,
(75-64)(75-56)(75-86)(75-76)(75-74)
= 11 * 19 * -11 * -1 * 1
= 2299
so! a+b+c+d
64+56+86+76
=282
Ans: 282

Is this solution Helpfull? Yes (23) | No (10)  

1  (10 years ago)

11*19*11=2299
(75-64)(75-56)(75-86)(75-76)(75-74)=11*19*-11*-1*1=2299
=>so 64+56+86+76+74= 416 ansr

Is this solution Helpfull? Yes (9) | No (18)  

Swapnil Sen  (5 years ago)

If we factorize 2299 then we get.....

2299= 11 X 11 X 19 X 1 X 1

We can also write the above expression as

2299= 11 X (-11) X 19 X (-1) X 1

So we can write (75-a)(75-b)(75-c)(75-d)(75-e) = 2299 as

(75-64)(75-86)(75-56)(75-76)(75-74) = 2299

[ As 75-11 = 64 , 75-(-11) = 86 , 75-19 = 56 , 75-(-1) = 76 , 75-1 = 74 ]

So , a + b + c + d + e = 64 + 86 + 56 + 76 + 74 = 356

But here they wanted only the sum of 4 terms.

So, subtracting one of the terms respectively from the total we can get 292, 270, 300, 282, 280

Hope it is clear to you

Is this solution Helpfull? Yes (6) | No   

Amit Ganguly  (10 years ago)

i will tell u the correct solution
take a,b,c,d,e anyone as 64,86,56,74,76
so product will be 11*-11*19*1*-1=2299
take a,b,c,d out of this any 5 & add there will be 5 correct answer
example-if u add 64+86+56+76 =282 or if u add 64+86+56+74=280 u have to check the options and answer.good luck

Is this solution Helpfull? Yes (5) | No (2)  

1  (10 years ago)

it is 342 they asked a+b+c+d only do 416-74=342
it is cumplsory to have 56,64,86,76

Is this solution Helpfull? Yes (3) | No (8)  

chalamalasetti  (10 years ago)

a+b+c+d+e=332 here given hint is 2299 divided by ll. LHS must be eual to 209*11 so to get2299 assume a=74,b=74 and using hint calculate c, d and e values... (75-64) *(75-56)*(75-64)hence c=56,d=64,e=64

Is this solution Helpfull? Yes (1) | No (12)  

Naveen Swayamvarpu  (10 years ago)

@chalamalasetti : As told we have a,b,c,d as distinct numbers , not a same 1.

Is this solution Helpfull? Yes (1) | No (4)  

naga sarath chand  (10 years ago)

let us take,a= -134,b=64,c=74,d=74,e=74
then, a+b+c+d=78

Is this solution Helpfull? Yes | No (11)  

chalamalasetti  (10 years ago)

a+b+c+d=268

Is this solution Helpfull? Yes | No (11)  

chintala praveen kumar  (10 years ago)

258 Booz 2299 can be written as 11*11*19 so a is 64 b is64 c is 56 d is 74 total is 258

Is this solution Helpfull? Yes | No (5)  

Latha  (8 years ago)

(75-a)(75-b)(75-c)(75-d)(75-e)=11*1*11*19*1
a=64 b=74,c=64,d=56,e=74
ans:332

Is this solution Helpfull? Yes | No (1)  

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