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In the following question, by using which mathematical operators will the expression become correct?
If P = 3, Q = 14, R = 23, S = 4,T = 2, U = 13 and V = 2.
(P³ + Q - R × S ÷ T + U □ V) = 164.
  • a)
    Multiplication
  • b)
    Division
  • c)
    Power
  • d)
    Subtraction
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In the following question, by using which mathematical operators will ...
It is given that,
P = 3, Q = 14, R = 23, S = 4,T = 2, U = 13 and V = 2.
Given expression : (P3 + Q - R × S ÷ T + U □ V) = 164.
→ (33 + 14 – 23 × 4 ÷ 2 + 13 □ 2) = 164
→ (27 + 14 – 23 × 4 ÷ 2 + 13 □ 2) = 164
→ (27 + 14 – 23 × 2 + 13 □ 2) = 164
→ (27 + 14 – 46 + 13 □ 2) = 164
→ (– 5 + 13 □ 2) = 164
→ (13 □ 2) = 164 + 5 = 169
→ (13 □ 2) = 13 * 13 = 132
Only power operator can be used here to satisfy this equation.
→ 132 = 169
Hence, the power operator will be used to solve the equation.
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