Consider the following three statements: (A) If 3 + 3 = 7 then 4 + 3 = 8 (B) If 5 + 3 = 8 then earth is flat. (C) If both (A) and (B) are true then 5 + 6 = 17 . Then, which of the following statements is correct?

Correct answer: B. (A) and (C) are true while (B) is false Truth table for if-then statement is p q p → q T T T T F F F T T F F T (A) 3 + 3 = 7 (false), and 4 + 3 = 8 (false), therefore A is true. (B) 5 + 3 = 8 (true) and earth is flat (false), hence B is false. (C) Since, B is false and 5 + 6 = 17 (false), hence C is true.

JEE Main 202120 JulyEvening Shift

Exam: JEE Main
Year: 2021
Date: 20 July
Shift: Evening Shift
Subject: Mathematics
Chapter: Mathematical Reasoning

JEE Main 2021 · 20 July · Evening Shift · Mathematics · Mathematical Reasoning

Consider the following three statements: (A) If 3 + 3 = 7 then 4 +...

Consider the following three statements:

$\left(A\right)$ If $3 + 3 = 7$ then $4 + 3 = 8$

\left(B\right) $If$ 5 + 3 = 8 $then earth is flat.\left(C\right)$ If both \left(A\right) $and \left(B\right)$ are true then $5 + 6 = 17 .Then, which of the following statements is correct?$

Options

A $\left(A\right)$ is false, but \left(B\right) $and \left(C\right)$ are true
B $\left(A\right)$ and \left(C\right) $are true while \left(B\right)$ is false
C $\left(A\right)$ is true while \left(B\right) $and \left(C\right)$ are false
D $\left(A\right)$ and \left(B\right) $are false while \left(C\right)$ is true

Correct answer

B. $\left(A\right)$ and \left(C\right) $are true while \left(B\right)$ is false

Step-by-step solution

Truth table for if-then statement is

$p$	$q$	$p \to q$
$T$	$T$	$T$
$T$	$F$	$F$
$F$	$T$	$T$
$F$	$F$	$T$

\left(A\right) 3 + 3 = 7 $(false), and$ 4 + 3 = 8 $(false), therefore$ A $is true.\left(B\right) 5 + 3 = 8$ (true) and earth is flat (false), hence $B$ is false.

\left(C\right) $Since,$ B $is false and$ 5 + 6 = 17 $(false), hence$ C is true.

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