What will come in the place of the question mark (?) in the following equation if ‘+’ and ‘÷’ are interchanged and ‘−’ and ‘×’ are interchanged? 23 ÷ 16 + 8 − 3 × 21 = ?

Challenger App

Mental Ability/

Mathematical Operators

No.1 PSC Learning App

★

★

★

★

★

1M+ Downloads

What will come in the place of the question mark (?) in the following equation if ‘+’ and ‘÷’ are interchanged and ‘−’ and ‘×’ are interchanged? 23 ÷ 16 + 8 − 3 × 21 = ?

A42

B4

C50

D8

Answer:

D. 8

Read Explanation:

The value that will come in place of the question mark is 8.

Given original equation:
$23 \div 16 + 8 - 3 \times 21 = ?$

Interchange rules:

Interchanging $+$ and $\div$ means: every $\div$ becomes $+$ , and every $+\$ becomes$ \div $.</p></li><li><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;">Interchanging <b>$ - $</b> and <b>$ \times $</b> means: every$ - $becomes$ \times $, and every$ \times $becomes$ - $.</p></li></ul><hr><h2 style="color: rgb(0,0,0);"><b><span style="font-size: 18px;">1. Apply the Interchanges</span></b></h2><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;">Rewriting the equation with the substituted mathematical symbols yields:<br>$ 23 + 16 \div 8 \times 3 - 21 = ? $</p><h2 style="color: rgb(0,0,0);"><b><span style="font-size: 18px;">2. Solve Using BODMAS Rules</span></b></h2><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;">We evaluate operations in order: <b>D</b>ivision$ \rightarrow $<b>M</b>ultiplication$ \rightarrow $<b>A</b>ddition$ \rightarrow $<b>S</b>ubtraction.</p><p style="color: rgb(0,0,0);"></p><ul style="color: rgb(0,0,0);"><li><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;"><b>Step 2a (Division):</b> Solve$ 16 \div 8 $<br>$ 16 \div 8 = 2 $<br><em>Equation updates to:</em>$ 23 + 2 \times 3 - 21 = ? $</p></li><li><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;"><b>Step 2b (Multiplication):</b> Solve$ 2 \times 3 $<br>$ 2 \times 3 = 6 $<br><em>Equation updates to:</em>$ 23 + 6 - 21 = ? $</p></li><li><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;"><b>Step 2c (Addition):</b> Solve$ 23 + 6 $<br>$ 23 + 6 = 29 $<br><em>Equation updates to:</em>$ 29 - 21 = ? $</p></li><li><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;"><b>Step 2d (Subtraction):</b> Solve$ 29 - 21 $<br>$ 29 - 21 = 8$

Read more in App

Related Questions:

ഏതു രണ്ടു ചിഹ്നങ്ങൾ പരസ്പരം മാറ്റിയാലാണ് $5+3\times8-12\div{4}=3$ എന്ന സമവാക്യം ശരിയാകുക ?

In this question, a statement is followed by two conclusions. Which of the two conclusions is/are true with respect to the statement?

Statement: A = F ≥ S > H < Z > R = G

Conclusions:
I. S < G
II. S ≥ A

Based on the given statement, four conclusions are drawn. Find out which conclusion is true based on the statement.

Statement: P = L ≥ K > J < F < N

What will come in place of the question mark (?) in the following equation if ‘–’ and ‘+’ are interchanged and ‘÷’ and ‘×’ are interchanged?

$(7 - 4) \div (9 - 3) \times (9 + 3) = ?$

What will come in place of the question mark (?) in the following equation if ‘+’ and ‘–‘ are interchanged and ‘×’ and ‘÷′ are interchanged? 225 × 9 ÷ 10 − 39 + 45 = ?