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- Question
If x ? 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x ? 3y)?
Options- A. 9/5
- B. 11/5
- C. 13/7
- D. 9/7
- Correct Answer
- 11/5
- 1. A = (x8 ? 1)/(x4 + 1) and B = (y4 ? 1)/(y2 + 1). If x = 2 and y = 9, then what is the value of A2 + 2AB + AB2?
Options- A. 96475
- B. 98625
- C. 92425
- D. 89125 Discuss
- 2. If x + y = 3, then what is the value of x3 + y3 + 9xy ?
Options- A. 15
- B. 81
- C. 27
- D. 9 Discuss
- 3. 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
- 4. 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
- 5. 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
- 6. If (x/a) + (y/b) = 3 and (x/b) ? (y/a) = 9, then what is the value of x/y?
Options- A. ( b + 3 a)/( a ? 3 b)
- B. ( a + 3 b)/( b ? 3 a)
- C. (1 + 3 a)/( a + 3 b)
- D. ( a + 3 b2)/( b ? 3 a2) Discuss
- 7. In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?
Options- A. 45
- B. 35
- C. 55
- D. 65 Discuss
- 8. What is the value of [(sin 7x ? sin 5x)÷(cos 7x + cos 5x)] ? [(cos 6x ? cos 4x)÷(sin 6x + sin 4x)]?
Options- A. 1
- B. 2 tan x
- C. tan 2 x
- D. tan (3 x/2) Discuss
- 9. What is the value of [(cos32? + 3 cos 2?)÷(cos6? ? sin6?)] ?
Options- A. 0
- B. 1
- C. 2
- D. 4 Discuss
- 10. What is the value of tan?4+A×tan3?4+A ?
Options- A. 1
- B. 0
- C. cot A/2
- D. ? 1 Discuss
Simplification problems
Search Results
Correct Answer: 98625
Correct Answer: 27
Correct Answer: ? 4
Correct Answer: None of these
Correct Answer: ? 4
Correct Answer: ( b + 3 a)/( a ? 3 b)
Correct Answer: 55
Correct Answer: 2 tan x
Correct Answer: 4
Correct Answer: ? 1
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