Latest TCS Aptitude Question SOLUTION: If A, B and C are three positive integers such that A is greater than B and B is greater than C, then which of the following is definitely true? i. A% of B is greater than B% of C.

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(#M40166035) TCS Numerical Ability question Keep an EYE

If A, B and C are three positive integers such that A is greater than B and B is greater than C, then which of the following is definitely true? i. A% of B is greater than B% of C. ii. B% of A is greater than C% of B iii. C% of A is greater than B% of C

Asked In TCS keerthana (1 year ago)

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Anujit Ganguly  (1 year ago)

Let us assume A=100, B= 50 and C=10.
Now, A% of B = 100% of 50 = 50 and B% of C = 5. Hence, A%(B)>B%(C)
Again B% of A = 50 and C% of B = 5. FALSE
Similarly, C% of A = 10 and B% of C = 5. FALSE

Hence (i) is Definitely True

Is this solution Helpfull? Yes (12) | No (25)  

shiyam  (1 year ago)

ALL Conditions are true
Let assume A=20,B=10,C=5;
now,A% OF B=2 > B% of C=0.5. Hence A is TRUE. ie)(20/100)*10=2 && (10/100)*5=0.5.
now B % of C=2 > C% of B=0.5. Hence B is TRUE.
now C% of A=1 > B% of C=0.5. Hence C is TRUE.

Hence, all the 3 conditions are true;

Is this solution Helpfull? Yes (9) | No (3)  

HARSHITHA SHRIKANTH  (1 year ago)

Let us take A=10, B=5 and C=2
1) Let us check for 1st condition , A%B ie: 10%5=0 and B%C ie: 5%2=1 Hence first condition is false.
2) Let us check for 1st condition , B%A ie: 5%10=5 and C%B ie: 2%5=2 Hence second condition is true.
3) Let us check for 1st condition , C%A ie: 2%10=2 and B%C ie: 5%2=1 Hence third condition is true.

Therefore 2nd and 3rd options are definitely True.

Is this solution Helpfull? Yes (4) | No (11)  

Navin Mundhra  (1 year ago)

Lets proceed mathematically instead of numerical examples which are drops in the ocean.
So, A>B>C>0,
i. A% of B = A*B/100, B% of C = B*C/100. Clearly it is a case of A*B>B*C => A>C (since B>0)
Which is given, thereby, true.

Proceeding similarly you can prove the other two to be true.
ty

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Aniket Singare  (1 year ago)

all option are true....check it by above method

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ganesh babu  (1 year ago)

(I) and (ii) same
A%of B =B%of A
AB>BC true
(III) AC>BC = A>B definitely true

Is this solution Helpfull? Yes (1) | No   

Swati Singh  (1 year ago)

taking three numbers we can solve the following problem easily. Take three numbers 4,5,6 and then check the conditions third one is true for this one.

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