Discussion
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- Question
If x = 1 ? y and x2 = 2 ? y2 , then what is the value of xy?
Options- A. 1
- B. 2
- C. -1/2
- D. -1
- Correct Answer
- -1/2
- 1. If x4 + (1/x4) = 34 , then what is the value of x3 ? (1/x3) ?
Options- A. 0
- B. 6
- C. 8
- D. 14 Discuss
- 2. If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 ? 3xyz ?
Options- A. 81
- B. 361
- C. 729
- D. 6561 Discuss
- 3. If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C ? 3sin A cos B tan C ?
Options- A. 0
- B. 1
- C. 8
- D. 9 Discuss
- 4. If p/q = r/s = t/u = ?5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)] ?
Options- A. 1/5
- B. 5
- C. 25
- D. 60 Discuss
- 5. If x ? y ? ?18 = ?1 and x + y ? 3?2 = 1, then what is the value of 12xy(x2 ? y2) ?
Options- A. 0
- B. 1
- C. 512?2
- D. 612?2 Discuss
- 6. What is the simplified value of (sec A + cos A)(sec A ? cos A)?
Options- A. 2 tan2A
- B. 2 sin2 A
- C. sin2 A tan2 A
- D. sin2A + tan2 A Discuss
- 7. What is the simplified value of cosec Acot A + tan A2 ?
Options- A. 2cos 2A
- B. 1 ? sin2 A
- C. sec2A
- D. secA tanA Discuss
- 8. How many times the keys of a typewriter have to be pressed in order to write numbers from 121 to 1346?
Options- A. 3675
- B. 4018
- C. 4021
- D. 4025 Discuss
- 9. If the expression px3 ? qx2 ? 7x ? 6 is completely divisible by x2 ? x ? 6 , then what is the value of p and q respectively?
Options- A. 0, 1
- B. 1, 0
- C. 2, 1
- D. 1, 2 Discuss
- 10. If the expression px3 ? 2x2 ? qx + 18 is completely divisible by (x2 ? 9) , then what is the ratio between p and q respectively?
Options- A. 1:9
- B. 1:3
- C. 3:1
- D. 9:1 Discuss
Simplification problems
Search Results
Correct Answer: 14
Correct Answer: 729
Correct Answer: 0
Correct Answer: 5
Correct Answer: 612?2
Correct Answer: sin2A + tan2 A
Correct Answer: 1 ? sin2 A
Correct Answer: 4025
Correct Answer: 1, 0
Correct Answer: 1:9
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