Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) Arrange in descending order (A).....3√ 2 (B)....9√ 4 (C).....6√ 3
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| 2) Arrange in descending order (A).....3√ 2 (B)....3√ 4 (C).....4√ 4
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| 3) Arrange in Ascending order (A).....4√ 5 (B)....√ 3 (C).....3√ 4
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| 4) which is greater (A)...√ 2 or (B)...√ 3
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| 5) Arrange in descending order (A).....4√ 5 (B)....√ 3 (C).....3√ 4
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| 6) Arrange in Ascending order (A).....3√ 2 (B)....9√ 4 (C).....6√ 3
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| 7) which is greater (A)...√ 3 or (B)...4√ 10
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| 8) Arrange in Ascending order (A).....3√ 2 (B)....3√ 4 (C).....4√ 4
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| 9) which is greater (A)...3√ 3 or (B)...4√ 4
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| 10) Arrange in descending order (A).....3√ 2 (B)....9√ 4 (C).....6√ 3
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| 1) Arrange in descending order (A).....3√ 2 (B)....9√ 4 (C).....6√ 3
Answer: 3 SOLUTION 1 : The order of the irrational numbers are 3,6,9 Their LCM is 18 3√ 2 = 6x3√ 2 6 = 18√ 64 9√ 4 = 2x9√ 4 2 = 18√ 6 6√ 3 = 3x6√ 3 3 = 18√ 27 Descending order ; 18√ 64 > 18√ 27 > 18√ 6 3√ 2 > 6√ 3 > 9√ 4 : |
| 2) Arrange in descending order (A).....3√ 2 (B)....3√ 4 (C).....4√ 4
Answer: 1 SOLUTION 1 : The order of the irrational numbers are 3,4,3 Their LCM is 12 3√ 2 = 3x4√ 2 4 = 12√ 6 3√ 4 = 4x3√ 4 4 = 12√ 256 4√ 4 = 3x4√ 4 3 = 12√ 64 Descending order ; 12√ 256 > 12√ 64 > 12√ 6 3√ 4 > 4√ 4 > 3√ 2 : |
| 3) Arrange in Ascending order (A).....4√ 5 (B)....√ 3 (C).....3√ 4
Answer: 3 SOLUTION 1 : The order of the 3 irrational numbers are 3,4,2 Their LCM is 12 4√ 5 = 3x4√ 5 3 = 12√ 125 √ 3 = 6x2√ 3 6 = 12√ 729 3√ 4 = 4x2√ 4 4 = 12√ 256 Ascending order ; 12√ 125 > 12√ 256 > 12√ 729 |
| 4) which is greater (A)...√ 2 or (B)...√ 3
Answer: 3 SOLUTION 1 : The orders of the given irrational numbers 2 and 3 LCM of 3&4 is 6 √ 2 = 3x2√ 23 = 6√ 8 3√ 3 = 2x3√ 32 = 6√ 9 6√ 8 < 6√ 9 ⇒ √ 2 < 3√ 3 3√ 3 is greater |
| 5) Arrange in descending order (A).....4√ 5 (B)....√ 3 (C).....3√ 4
Answer: 1 SOLUTION 1 : The order of the 3 irrational numbers are 3,4,2 Their LCM is 12 4√ 5 = 3x4√ 5 3 = 12√ 125 √ 3 = 6x2√ 3 6 = 12√ 729 3√ 4 = 4x2√ 4 4 = 12√ 256 Descending order ; 12√ 729 > 12√ 256 > 12√ 125 |
| 6) Arrange in Ascending order (A).....3√ 2 (B)....9√ 4 (C).....6√ 3
Answer: 2 SOLUTION 1 : The order of the irrational numbers are 3,6,9 Their LCM is 18 3√ 2 = 6x3√ 2 6 = 18√ 64 9√ 4 = 2x9√ 4 2 = 18√ 6 6√ 3 = 3x6√ 3 3 = 18√ 27 Ascending order ; 18√ 6 > 18√ 27 > 18√ 64 9√ 4 > 6√ 3 > 3√ 2 : |
| 7) which is greater (A)...√ 3 or (B)...4√ 10
Answer: 3 SOLUTION 1 : The orders of the given irrational numbers 3 and 10, LCM of 2 & 4 is 4. √ 3 = 2x2√ 32 = 4√ 9 4√ 10 = 1x4√ 10 = 4√ 10 4√ 10 > 4√ 9 ⇒ 4√ 10 > √ 3 4√ 10 is greater |
| 8) Arrange in Ascending order (A).....3√ 2 (B)....3√ 4 (C).....4√ 4
Answer: 1 SOLUTION 1 : The order of the irrational numbers are 3,4,3 Their LCM is 12 3√ 2 = 3x4√ 2 4 = 12√ 6 3√ 4 = 4x3√ 4 4 = 12√ 256 4√ 4 = 3x4√ 4 3 = 12√ 64 Ascending order ; 12√ 6 > 12√ 64 > 12√ 256 = 3√ 2 > 4√ 4 > 3√ 4 : |
| 9) which is greater (A)...3√ 3 or (B)...4√ 4
Answer: 2 SOLUTION 1 : The orders of the given irrational numbers 3 and 4 LCM of 3&4 is 12 3√ 3 = 4x3√ 34 = 12√ 81 4√ 4 = 3x4√ 43 = 12√ 64 12√ 81 > 12√ 64 ⇒ 3√ 3 > 4√ 4 3√ 3 is greater |
| 10) Arrange in descending order (A).....3√ 2 (B)....9√ 4 (C).....6√ 3
Answer: 1 SOLUTION 1 : The order of the irrational numbers are 3,6,9 Their LCM is 18 3√ 2 = 6x3√ 2 6 = 18√ 64 9√ 4 = 2x9√ 4 2 = 18√ 6 6√ 3 = 3x6√ 3 3 = 18√ 27 Descending order ; 18√ 64 > 18√ 27 > 18√ 6 3√ 2 > 6√ 3 > 9√ 4 : |