In an assembly election, parties A, B, C, D and E won 30, 25, 20, 10 and 4 seats, respectively; whereas independents won 9 seats. Based on this data, which of the following statements must be INCORRECT?

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Question

This question was previously asked in

CSIR UGC (NET) Mathematical Science: Held On (7 June 2023)

Answer 1

Explanation:

parties A, B, C, D and E won 30, 25, 20, 10 and 4 seats, respectively; whereas independents won 9 seats.

Total seats = 30 + 25 + 20 + 10 + 4 + 9 = 98

Majority seats means greater than half of total seats.

So a party will be in majority if it must have seats greater than 98/2 = 49 i.e, minimum 50 seats

So No party has majority

Option (1) is CORRECT statement.

Total seats of A and C = 30 + 20 = 50, majority

So (2) is CORRECT statement

A and D with support of independent, total seats = 30 + 10 + 9 = 49

which is not greater than 49 so not majority

So A and D with the support of independents can't get the majority.

Option (3) is INCORRECT statement

Option(4) :

If E support A and D on the condition of CM seat then This is possible case.

So this is also True.

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