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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Four students A, B, C and D distributed 30 marbles
among themselves. No two students got equal
number of marbles. No student got more than 10
marbles. No student got less than 5 marbles. A and C
got odd number of marbles. B and D got even
number of marbles. A got more marbles than B, C
got more marbles than D, B got more marbles than
D.
What is the number of marbles with A?
Solution
Given: Total marbles = 30, each student gets between 5 and 10 marbles, all different.
A and C got odd marbles. B and D got even marbles.
A > B, C > D, and B > D.
Step 1: Possible distinct sets (5 to 10) with sum 30:
{5, 6, 9, 10}, {5, 7, 8, 10}, {6, 7, 8, 9}
Step 2: Check parity and conditions:
In {6, 7, 8, 9}:
Evens: 6, 8 → B > D ⇒ B = 8, D = 6
Odds: 7, 9 → A > B ⇒ A = 9, C = 7
Verify:
A > B ⇒ 9 > 8 ✔
C > D ⇒ 7 > 6 ✔
B > D ⇒ 8 > 6 ✔
Final Distribution:
A = 9, B = 8, C = 7, D = 6
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Commented Feb 12 , 2024
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