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BITSAT Mathematics Sets and Relations 2023 BITSAT 2023 (Memory Based Paper 2)

BITSAT Mathematics Question (2023) — Solution

Question

If n( ~A )=1000, n( ~B )=500 and if n( ~A B ) 1 and n( ~A B )=p, then

Options

  1. A. 500 p 1000
  2. B. 1001 p 1498
  3. C. 1000 p 1498
  4. D. 1000 p 1499

Answer

D. 1000 p 1499

Step-by-step solution

n ( A )=1000, n ( B )=500, n ( A B ) 1, n(A B)=p ; n(A B)=n(A)+n(B)-n(A B) p =1000+500- n ( A B ) 1 n ( A B ) 500 Hence p 1499 and p 1000 1000 p 1499

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