Latest TCS Aptitude Question SOLUTION: Three distinct single-digit numbers A,B and C are in Geometric Progression. If abs(x) for real x is the absolute value of x (x if x is positive or zero, and -x if x is negative), t

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Three distinct single-digit numbers A,B and C are in Geometric Progression. If abs(x) for real x is the absolute value of x (x if x is positive or zero, and -x if x is negative), then the number of different possible values of abs(A+B+C) is

options:
a) 6
b) 4
c) 5
d) 3

Asked In TCS Niveditha Ravichandran (9 years ago)

Unsolved Read Solution (12)

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Read Solution (12) :

abhyuday pal  (9 years ago)

GPs may be
1,2,4 ; -1,-2,-4 ; -1,2,-4 ; 1,-2,4
1,3,9 ; -1,-3,-9 ; -1,3,-9 ; 1,-3,9
2,4,8 ; -2,-4,-8 ; -2,4,-8 ; 2,-4,8
now consider the first row of GPs,
here abs(1+2+4)= abs(-1+(-2)+(-3)) AND abs(1+(-2)+3)=abs((-1)+2+(-3))
similarly for other two rows of GPs mentioned.
All in all, we have 2+2+2=6 DISTINCT values of abs(A+B+C)

Therefore, correct option is a) 6

Is this solution Helpfull? Yes (21) | No (13)  

RAKESH  (9 years ago)

b) 4
GP may be
1,2,4
1,3,9
2,4,8
4,6,9
value of abs(A+B+C) is 7,12,14,19
4 differ values.

Is this solution Helpfull? Yes (15) | No (22)  

gagan yedida  (9 years ago)

1) 5
A,B,C may be
(1,2,4) & (4,2,1)
(1,3,9) & (9,3,1)
(2,4,8) & (8,4,2)
(4,6,9) & (9,6,4)

find abs(A+B-c) for these 8 GPs
1, 5, 5, 11 , 2, 10, 1 , 11

we get 5 different values (1,2,5,10,11)

Is this solution Helpfull? Yes (13) | No (3)  

sai_1992  (9 years ago)

The answer is 5 not 4. I don't have the solution but in the Online TCS Mock Test the answer for which marks are awarded is 5.

Is this solution Helpfull? Yes (6) | No (3)  

Swechchha Agarwal  (9 years ago)

Option (c) 5
A,B,C may be
(1,2,4) & (4,2,1)
(1,3,9) & (9,3,1)
(2,4,8) & (8,4,2)
(4,6,9) & (9,6,4)

find abs(A+B-c) for these 8 GPs
1, 5, 5, 11 , 2, 10, 1 , 11

we get 5 different values (1,2,5,10,11)

Is this solution Helpfull? Yes (5) | No (1)  

k chaudhuri  (9 years ago)

5
Option (c) 5
A,B,C may be
(1,2,4) & (4,2,1)
(1,3,9) & (9,3,1)
(2,4,8) & (8,4,2)
(4,6,9) & (9,6,4)

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

Swayanti Bhaumik  (9 years ago)

4?
1 2 4
1 3 9
1 -2 4
1 -3 9

Is this solution Helpfull? Yes (3) | No (4)  

RAKESH  (9 years ago)

b) 4
GP may be
1,2,3
1,3,9
2,4,8
4,6,9
value of abs(A+B+C) is 6,12,14,19
4 differ values.

Is this solution Helpfull? Yes (2) | No (11)  

anchal gupta  (9 years ago)

what correct ans

Is this solution Helpfull? Yes (1) | No   

Nayanika Sen  (9 years ago)

GAGAN YEDIDA, Can you explain why did you use Abs(A+B-c) ?

Thank You.

Is this solution Helpfull? Yes (1) | No   

Chirag Ranjan Lahiri  (9 years ago)

1,2,3
1,3,9
2,4,8
4,6,9
value of abs(A+B+C) is 6,12,14,19
so 4

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

Madhan R  (6 years ago)

case 1:(1,2,4)&(4,2,1) possible
case 2:(2,4,8)&(8,4,2) possible
case 3:(1,3,9)&(9,3,1) possible
three different cases are possible because only single digits were allowed
given:(a+b-c)
taking each case values for a,b,c we get (1,5,5,11,2,10) possible values..here there are only 5 different values(1,5,2,11,10)....so ans is 5

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