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Simplification
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Question
If a3+ b3 = 19 and a + b = 1, then what is the value of ab?
Options
A. 5
B. -6
C. 7
D. -9
Correct Answer
-6
Tags:
Bank Exams
Simplification problems
Search Results
1. If x/3 - [5(7x/5 - 4/3)]/2 = -x/6, then what is the value of x?
Options
A. 10/9
B. -10/9
C. -9/10
D. 9/10
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Correct Answer: 10/9
2. ? XYZ is right angled at Y. If m?Z = 60°, then what is the value of (1/?2) Sec X?
Options
A. 2/?3
B. 1/?6
C. 1/?3
D. 2/?6
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Correct Answer: 2/?6
3. What is the value of Tan 60 + Cosec 60?
Options
A. 5/3
B. 2/?3
C. 5/?3
D. 2/3
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Correct Answer: 5/?3
4. The areas of two similar triangles ?ABC and ?PQR are 121 sq cms and 64 sq cms respectively. If PQ = 12 cm, what is the length (in cm) of AB?
Options
A. 7.25
B. 6.25
C. 16.5
D. 5.25
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Correct Answer: 16.5
5. At what point does the line 3x + 2y = 12 cuts the Y-axis?
Options
A. (0, 6)
B. (0, -6)
C. (6, 0)
D. (-6, 0)
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Correct Answer: (0, 6)
6. A fraction is greater than its reciprocal by (72)/(77). What is the fraction?
Options
A. 7/11
B. 11/7
C. 4/7
D. 7/4
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Correct Answer: 11/7
7. What is the value of (1/?2) Cot 45° + (1/?3) Cosec 60°?
Options
A. (?6 + 1)/?3
B. ?3
C. (1 + 3?2)/?3
D. (3 + 2?2)/3?2
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Correct Answer: (3 + 2?2)/3?2
8. ? ABC is right angled at B. If m?A = 60°, then what is the value of sec C.sin A?
Options
A. 2/?3
B. ?3/2
C. 2/3
D. 1
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Correct Answer: 1
9. If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?
Options
A. 4/15
B. -15/4
C. -4/15
D. 15/4
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Correct Answer: 15/4
10. If a3 + b3 = 35 and ab = 6, then what is the value of a + b?
Options
A. 5
B. 8
C. 2
D. -8
Show Answer
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Correct Answer: 5
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