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- Question
If x = 2 +?3, y = 2 ? ?3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?
Options- A. 25
- B. 22
- C. 17
- D. 43
- Correct Answer
- 25
- 1. If x = (?5) + 1 and y = (?5) ? 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6 ?
Options- A. 31
- B. 23?5
- C. 27?5
- D. 25 Discuss
- 2. If P = 7 + 4?3 and PQ = 1, then what is the value of (1/P2) + (1/Q2) ?
Options- A. 148
- B. 189
- C. 194
- D. 204 Discuss
- 3. Which of the following statement(s) is/are true? I. (65)1/6 > (17)1/4 > (12)1/3 II. (17)1/4 > (65)1/6 > (12)1/3 III. (12)1/3 > (17)1/4 > (65)1/6
Options- A. Only I
- B. Only III
- C. Only II
- D. None of these Discuss
- 4. If (333 + 333 + 333) (233 + 233) = 6x , then what is the value of x?
Options- A. 34
- B. 35
- C. 33
- D. 33.5 Discuss
- 5. If 56 × 75 × 60 × 84 × 210 = 2p × 3q × 5r × 7s , then what is the value of [(p + q)/s] + r?
Options- A. 6
- B. 8
- C. 12
- D. 10 Discuss
- 6. A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3?3. What is the value of (a2 + b2 + c2)/(a + b + c) ?
Options- A. 35/3
- B. 37/3
- C. ? 105/11
- D. ? 105/13 Discuss
- 7. If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz ? x2 ? y2 ? z2 ?
Options- A. ? 4
- B. 2
- C. ? 1
- D. ? 6 Discuss
- 8. If [a + (1/a)]2 ? 2[a ? (1/a)] = 12 , then which of the following is a value of 'a'?
Options- A. ? 8 + ?3
- B. ? 8 ? ?3
- C. ? 8 + ?5
- D. None of these Discuss
- 9. If x2 ? 4x + 1 = 0 , then what is the value of x9 + x7 ? 194x5 ? 194x3 ?
Options- A. 4
- B. ? 4
- C. 1
- D. ? 1 Discuss
- 10. If x + y = 3, then what is the value of x3 + y3 + 9xy ?
Options- A. 15
- B. 81
- C. 27
- D. 9 Discuss
Simplification problems
Search Results
Correct Answer: 25
Correct Answer: 194
Correct Answer: Only III
Correct Answer: 34
Correct Answer: 8
Correct Answer: ? 105/11
Correct Answer: ? 4
Correct Answer: None of these
Correct Answer: ? 4
Correct Answer: 27
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