Discussion
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- Question
If a = 73, b = 74 and c = 75, then what is the value of a3 + b3 + c3 ? 3abc ?
Options- A. 365
- B. 444
- C. 666
- D. 999
- Correct Answer
- 666
- 1. The inradius of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?
Options- A. 5
- B. 10?3
- C. 20
- D. 20?3 Discuss
- 2. If 27x + 27[x?(1/3)] = 972, then what is the value of x?
Options- A. 2
- B. 3
- C. 4
- D. 5 Discuss
- 3. If x = (?2 + 1)/(?2 ? 1), then what is the value of (x5 + x4 + x2 + x)/x3 ?
Options- A. 5
- B. 2
- C. 2?3
- D. 2?2 Discuss
- 4. When [x + (1/x)] = 5, then what is the value of [x ? (1/x)]?
Options- A. 11
- B. ± ?22
- C. 21
- D. ± ?21 Discuss
- 5. Find x, if 5x-6+5x+6 = 6
Options- A. -4
- B. 0
- C. 2
- D. 4 Discuss
- 6. If x2 + (1/x2) = 31/9 and x > 0, then what is the value of x3 + (1/x3) ?
Options- A. 70/9
- B. 154/27
- C. 349/27
- D. 349/7 Discuss
- 7. If x ? (1/x) = 3, then what is the value of (2x4 + 3x3 + 13x2 ? 3x + 2) / (3x4 + 3) ?
Options- A. 1/3
- B. 2/3
- C. 4/3
- D. 5/3 Discuss
- 8. What is the simplified value of sec6 A ? tan6 A ? 3 sec2 A tan2 A ?
Options- A. -1
- B. 0
- C. 1
- D. sec A tan A Discuss
- 9. What is the simplified value of (cosec A ? sin A)(sec A ? cos A)(tan A + cot A)?
Options- A. -1
- B. 0
- C. 1
- D. 2 Discuss
- 10. What is the simplified value of (cos4 A ? sin4 A) ?
Options- A. 0
- B. 2 cos2 A
- C. cos2A
- D. 1 Discuss
Simplification problems
Search Results
Correct Answer: 20
Correct Answer: 2
Correct Answer: 2?3
Correct Answer: ± ?21
Correct Answer: 2
Correct Answer: 154/27
Correct Answer: 4/3
Correct Answer: 1
Correct Answer: 1
Correct Answer: cos2A
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