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Simplification
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Question
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
Correct Answer
? 4
Tags:
Bank Exams
Simplification problems
Search Results
1. A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3?3. What is the value of (a2 + b2 + c2)/(a + b + c) ?
Options
A. 35/3
B. 37/3
C. ? 105/11
D. ? 105/13
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Correct Answer: ? 105/11
2. If x = 2 +?3, y = 2 ? ?3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?
Options
A. 25
B. 22
C. 17
D. 43
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Correct Answer: 25
3. If x = (?5) + 1 and y = (?5) ? 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6 ?
Options
A. 31
B. 23?5
C. 27?5
D. 25
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Correct Answer: 25
4. If P = 7 + 4?3 and PQ = 1, then what is the value of (1/P2) + (1/Q2) ?
Options
A. 148
B. 189
C. 194
D. 204
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Correct Answer: 194
5. Which of the following statement(s) is/are true? I. (65)1/6 > (17)1/4 > (12)1/3 II. (17)1/4 > (65)1/6 > (12)1/3 III. (12)1/3 > (17)1/4 > (65)1/6
Options
A. Only I
B. Only III
C. Only II
D. None of these
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Correct Answer: Only III
6. 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
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Correct Answer: None of these
7. If x2 ? 4x + 1 = 0 , then what is the value of x9 + x7 ? 194x5 ? 194x3 ?
Options
A. 4
B. ? 4
C. 1
D. ? 1
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Correct Answer: ? 4
8. If x + y = 3, then what is the value of x3 + y3 + 9xy ?
Options
A. 15
B. 81
C. 27
D. 9
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Correct Answer: 27
9. 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
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Correct Answer: 98625
10. 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
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Correct Answer: 11/5
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