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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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 (8 Months ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Anujit Ganguly  (8 Months 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  (3 Months 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 (8) | No (1)  

HARSHITHA SHRIKANTH  (4 Months 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 (3) | No (11)  

Navin Mundhra  (3 Months 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  (3 Months ago)

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

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Swati Singh  (3 Months 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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ganesh babu  (3 Months ago)

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

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