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Simplification problems
1. Which of the following statement (s) is/are TRUE? I. 4?3 > 3?4 II. 8?2 > 2?8
Options
A. Only I
B. Only II
C. Neither I nor I
D. Both I and I
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Correct Answer: Both I and I
2. If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?
Options
A. -10
B. 9/8
C. 10
D. -9/8
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Correct Answer: 10
3. What is the reflection of the point (5, -2) in the line x = -1?
Options
A. (-7 , -2)
B. (5 , 0)
C. (7 , -2)
D. (5 , 2)
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Correct Answer: (-7 , -2)
4. Point A divides segment BC in the ratio 4:1. Co-ordinates of B are (6 , 1) and C are (7/2 , 6). What are the co-ordinates of point A?
Options
A. (4 , 3)
B. (4 , 5)
C. (2 , 5)
D. (3 , 5)
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Correct Answer: (4 , 5)
5. What is the value of (1/2) Sec 30° + ?2 Tan 60°?
Options
A. (1 + 3?2)/?3
B. (?3 + 2)/?3
C. ?3 + 2
D. (?3 + 2)/2
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Correct Answer: (1 + 3?2)/?3
6. ? DEF is right angled at E. If m?D = 45°, then what is the value of cosecF X cotD?
Options
A. 1/?2
B. 2
C. 1/2
D. ?2
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Correct Answer: ?2
7. If Sec ? = 25/24 , then what is the value of Sin ??
Options
A. 24/25
B. 7/25
C. 24/7
D. 25/7
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Correct Answer: 7/25
8. What is the value of (cosec30 - 1/?3)?
Options
A. (2?3-1)/?3
B. (?3-4)/2?3
C. -1/?3
D. 2/?3
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Correct Answer: (2?3-1)/?3
9. If C + 1C = 3 , then what is the value of C-37+1C7 ?
Options
A. 2
B. 0
C. 3
D. 1
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Correct Answer: 0
10. If 2x+14x = 1 , then the value of x2+164x2 is
Options
A. 0
B. 1
C. 1/4
D. 2
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Correct Answer: 0
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