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Simplification
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Question
If 2 cos ? = 2 ? sin ?, then what is the value of cos ??
Options
A. 1 or 3/5
B. 1 or ?1/2
C. ?1 or?1/2
D. ?1 or 3/5
Correct Answer
1 or 3/5
Tags:
Bank Exams
Simplification problems
Search Results
1. Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?
Options
A. 6
B. 9?3
C. 12
D. 12?3
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Correct Answer: 12?3
2. If 3a ? (3/a) ? 3 = 0, then what is the value of a3 ? (1/a3) + 2 ?
Options
A. 0
B. 2
C. 4
D. 6
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Correct Answer: 6
3. If (x/y)a-4 = (y/x)2a-5 , then what is the relation between x and y?
Options
A. x > y
B. Cannot be determined
C. x < y
D. x = y
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Correct Answer: Cannot be determined
4. If the expression px3 ? 2x2 ? qx + 18 is completely divisible by (x2 ? 9) , then what is the ratio between p and q respectively?
Options
A. 1:9
B. 1:3
C. 3:1
D. 9:1
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Correct Answer: 1:9
5. If the expression px3 ? qx2 ? 7x ? 6 is completely divisible by x2 ? x ? 6 , then what is the value of p and q respectively?
Options
A. 0, 1
B. 1, 0
C. 2, 1
D. 1, 2
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Correct Answer: 1, 0
6. If x3+ 2x2? 5x + k is divisible by x + 1, then what is the value of k?
Options
A. -6
B. -1
C. 0
D. 6
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Correct Answer: -6
7. If 3x + [1/(5x)] = 7, then what is the value of 5x/(15x2+ 15x + 1) ?
Options
A. 1/5
B. 1/10
C. 2/5
D. 10
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Correct Answer: 1/10
8. If x + [1/(4x)] = 5/2, then what is the value of (64x6+ 1)/8x3 ?
Options
A. 110
B. 115
C. 125
D. 140
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Correct Answer: 110
9. If x2+ x = 19 , then what is the value of (x + 5)2+ [1/(x + 5)2] ?
Options
A. 77
B. 79
C. 81
D. 83
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Correct Answer: 79
10. What is the simplified value of sec4? ? sec2? tan2? ?
Options
A. cosec2?
B. Cot2?
C. sec2 ?
D. sec? tan ?
Show Answer
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Correct Answer: sec2 ?
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