Question : Directions: The sum of a number's square, its cube, and its next number's cube is 205. What is the number?
Option 1: 3
Option 2: 5
Option 3: 4
Option 4: 6
Correct Answer: 4
Solution : Given: x2 + x3 + (x + 1)3 = 205
By using the above equation let's check the option – First option: 3; 32 + 33 + (3 + 1)3 = 9 + 27 + 64 = 100 ≠ 205 Second option: 5; 52 + 53 + (5 + 1)3 = 25 + 125 + 216 = 366 ≠ 205 Third option: 4; 42 + 43 + (4 + 1)3 = 16 + 64 + 125 = 205 Fourth option: 6; 62 + 63 + (6 + 1)3 = 36 + 216 + 343 = 595 ≠ 205
So, the sum of the 4's square, its cube, and its next number's cube is 205. Hence, the third option is correct;
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Question : Directions: Two numbers are named as Number A and Number B. The sum of Number A, its square, and its cube is 399. The sum of Number B, its square, and its cube is 819. What would be the square of the number obtained by adding numbers A and B?
Option 1: 256
Option 2: 289
Option 3: 225
Option 4: 324
Question : Directions: When a number is added to its next number and another number that is four times its next number, the sum of these three numbers is 95. Find the number.
Option 1: 16
Option 2: 14
Option 3: 17
Option 4: 15
Question : Directions: There are six children playing ludo, namely 1, 2, 3, 4, 5, and 6. 1 and 5 are brothers. 6 is the sister of 5. 3 is the only son of 1's father's brother. 2 and 4 are the daughters of the only brother of 3's father. How is 4 related to 1?
Option 1: Sister
Option 2: Uncle
Option 3: Niece
Option 4: Cousin
Question : Directions: Select the correct option that indicates the arrangement of the given words in the order in which they appear in an English dictionary. 1. Doctor 2. Doctorate 3. Docile 4. Documentary 5. Dock 6. Doctrine
Option 1: 3, 5, 1, 2, 6, 4
Option 2: 3, 5, 1, 6, 2, 4
Option 3: 3, 5, 2, 1, 6, 4
Option 4: 3, 4, 5, 1, 2, 6
Question : Directions: Which of the given options would be a logical sequence of the following words? 1. Punjab 2. Amritsar 3. World 4. India 5. Asia 6. Golden Temple
Option 1: 2, 1, 4, 5, 3, 6
Option 2: 6, 2, 1, 4, 5, 3
Option 3: 3, 1, 5, 2, 4, 6
Option 4: 6, 2, 1, 5, 3, 4
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