Question : Directions: When a number X is added to the double of its cube, the number 1467 is obtained. Find the value of X.
Option 1: 6
Option 2: 9
Option 3: 7
Option 4: 8
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Correct Answer: 9
Solution : Let the number be X X + 2(X)3 = 1467
Let's check each option – First option: 6; 6 + 2 × (6)3 = 6 + 2 × 216 6 + 432 = 438 438 ≠ 1467 Second option: 9; 9 + 2 × (9)3 = 9 + 2 × 729 9 + 1458 = 1467 1467 = 1467 Third option: 7; 7 + 2 × (7)3 = 7 + 2 × 343 7 + 686 = 693 693 ≠ 1467 Fourth option: 8; 8 + 2 × (8)3 = 8 + 2 × 512 8 + 1024 =1032 1032 ≠ 1467
So, the required number is 9. Hence, the second option is correct.
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Question : Directions: If the sum of a number, its square and, its cube is 584, then what is the number?
Option 1: 8
Option 2: 6
Option 4: 9
Question : Directions: Study the given pattern carefully and find the missing number. (9, 9, 2) (8, ___, 1) (4, 8, 8)
Option 1: 11
Option 2: 8
Option 3: 6
Option 4: 1
Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 1, 2, 4, 4, 9, 6, ?, 8, 25, 10
Option 3: 16
Option 4: 11
Question : Directions: Which of the following equations will be correct when the signs × and ÷ and the numbers 12 and 9 are interchanged?
Option 1: 12 + 8 × 9 + (24 ÷ 5 + 8) – 7 = 35
Option 2: 9 × 17 + 5 (24 ÷ 9) – 12 = 46
Option 3: 14 ÷ 2 + 10 (12 – 6) × 9 = 37
Option 4: 10 + 2 ÷ 3 + (24 × 9 + 8) – 12 = 17
Question : Directions: Select the correct combination of the mathematical signs to replace X in the below equation and thereby balance it. 9 X 3 X 6 X 2 X 9
Option 1: ÷, ×, =, ×
Option 2: ÷, ×, =, –
Option 3: ×, =, –, ÷
Option 4: ×, ÷, +, =
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