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 3: 7
Option 4: 9
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Correct Answer: 8
Solution : Let the number be X According to the question – X + X2 + X3 = 584
Let's check each option – First option: 8; 8 + (8)2 + (8)3 = 8 + 64 + 512 = 584 584 = 584 Second option: 6; 6 + (6)2 + (6)3 = 6 + 36 + 216 = 258 258 ≠ 584 Third option: 7; 7 + (7)2 + (7)3 = 7 + 49 + 343 = 399 399 ≠ 584 Fourth option: 9; 9 + (9)2 + (9)3 = 9 + 81 + 729 = 819 819 ≠ 584
So, the number is equal to 8. Hence, the first option is correct.
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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 4: 8
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: In the following question, a series is given with one number missing. Select the missing number from the given alternatives. 11, 8, 4, –1, ?
Option 1: –5
Option 2: 5
Option 3: –6
Option 4: –7
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. (15, 1, 7, 32) (20, 2, 7, 47) (13, 3, 7, 50) (7, 4, ?, 48)
Option 1: 1
Option 3: 5
Option 4: 3
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