Question : Select the number that will come in place of the question mark (?) in the following mathematical statement. 49 × 57 – 41 × 18 = (?)2 × 3 + 1380
Option 1: 15
Option 2: 21
Option 3: 3
Option 4: 7
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Correct Answer: 15
Solution : 49 × 57 – 41 × 18 = (?)2 × 3 + 1380 On simplifying the left-hand side of the equation, 49 × 57 – 41 × 18 = 2793 – 738 = 2055 This means that (?)2 × 3 + 1380 = 2055 On simplifying, (?)2 × 3 = 2055 - 1380 = 675 ⇒ ? = $\sqrt{\frac{675}{3}}$ = 15 $\therefore$ The number that will come in place of the question mark (?) in the given mathematical statement is 15. Hence, the correct answer is 15.
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Question : What should come in place of the question mark (?) for the following mathematical statement to be true? (9576 ÷ 21) × (462 ÷ 42) – 563 × 8 = (?)3
Option 1: 5
Option 2: 7
Option 3: 8
Option 4: 3
Question : Select the number that will come in place of the question mark (?) in the following mathematical statement. $\left(9^2 \times 27+3^3 \times 7+?\right)^{\frac{1}{2}}=59$
Option 1: 1087
Option 2: 1105
Option 3: 1111
Option 4: 1090
Question : What should come in place of the question mark (?) in the following question? 2 × 324 × ? = 92 × 222 × 6
Option 1: 359
Option 2: 364
Option 3: 363
Option 4: 366
Question : What is the value of (A × B) if A = 7 × 21 ÷ 49 - 8 × 7 ÷ 16 and B = 12 ÷ 6 – 3 × 2 + 5 × 3.
Option 1: –7
Option 2: –4.5
Option 3: –6
Option 4: –5.5
Question : What should come in place of the question mark (?) in the following mathematical statement? (?)3 ÷ 16 = 108
Option 1: 10
Option 2: 17
Option 3: 12
Option 4: 8
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