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Simplification
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Question
If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?
Options
A. 4
B. 2
C. 3
D. 5
Correct Answer
3
Tags:
Bank Exams
Simplification problems
Search Results
1. If ? and ? are the roots of equation x2 ? x + 1 = 0, then which equation will have roots ?3 and ?3?
Options
A. x2 + 2x + 1 = 0
B. x2 ? 2x ? 1 = 0
C. x2 + 3x ? 1 = 0
D. x2 ? 3x + 1 = 0
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Correct Answer: x2 + 2x + 1 = 0
2. If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?
Options
A. 1
B. 1/2
C. 2
D. 1/3
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Correct Answer: 1/2
3. If x3 + y3 + z3 = 3(1 + xyz), P = y + z ? x, Q = z + x ? y and R = x + y ? z, then what is the value of P3 + Q3 + R3 ? 3PQR?
Options
A. 9
B. 8
C. 12
D. 6
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Correct Answer: 12
4. If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?
Options
A. 9/5
B. 11/7
C. 7/11
D. 7/4
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Correct Answer: 7/4
5. x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?
Options
A. -1
B. 1
C. 3
D. -3
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Correct Answer: -3
6. Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?
Options
A. 415
B. 465
C. 440
D. Cannot be determined
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Correct Answer: 465
7. ABC is a right angled triangle. ?BAC = 90 deg and ?ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?
Options
A. 1 : 2
B. 1 : ?3
C. 2 : ?3
D. 2 : 3
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Correct Answer: 1 : ?3
8. What is the value of [(sin x + sin y) (sin x ? sin y)]/[(cosx + cosy) (cosy ? cosx)]?
Options
A. 0
B. 1
C. ? 1
D. 2
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Correct Answer: 1
9. What is the value of [(tan 5? + tan 3?)/4 cos 4? (tan 5? ? tan 3?)]?
Options
A. sin 2?
B. cos 2?
C. tan 4?
D. cot 2?
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Correct Answer: cos 2?
10. What is the value of (4/3) cot2 (p/6) + 3 cos2 (150) ? 4 cosec2 45 + 8 sin (p/2)?
Options
A. 25/4
B. 1
C. ? 7/2
D. 13/2
Show Answer
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Discuss
Correct Answer: 25/4
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