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Simplification problems
1. If xy = 22 and x2+ y2= 100 , then what will be the value of (x + y)?
Options
A. 12
B. 144
C. 72
D. 6
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Correct Answer: 12
2. The point P(5,-2) divides the segment joining the points (x,0) and (0,y) in the ratio 2:5. What is the value of x and y?
Options
A. x = -7; y = 7
B. x = 3; y = -3
C. x = 7; y = -7
D. x = -3; y = 3
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Correct Answer: x = 7; y = -7
3. A T.V was sold at a profit of 5% If it had been sold at a profit of 10% , the profit would have been Rs. 1000 more. What is its cost price ?
Options
A. Rs.20000
B. Rs.5000
C. Rs.10000
D. Rs.15000
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Correct Answer: Rs.20000
4. If pq(p+q) = 1, then the value of 1p3q3-p3-q3 is equal to
Options
A. 1
B. 2
C. 3
D. 4
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Correct Answer: 3
5. On dividing 24a2b2 by 6b2 , we will get
Options
A. 4b
B. 4ab
C. 4
D. 4a2
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Correct Answer: 4a2
6. If 1/?(cosec2A - 1) = x, then value of x is
Options
A. cotA
B. tanA
C. sinA
D. cosA
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Correct Answer: tanA
7. What is the value of cosec 3?/4?
Options
A. -?2
B. ?2
C. 2/?3
D. -2/?3
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Correct Answer: ?2
8. [sinA/(1 + cosA)] + [(1 + cosA)/sinA] is equal to
Options
A. 2secA
B. 2cosecA
C. 2tanA
D. 2cotA
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Correct Answer: 2cosecA
9. ABCD is a parallelogram. Co-ordinates of A, B and C are (5,0), (-2,3) and (-1,4) respectively. What will be the equation of line AD?
Options
A. y = 2x - 5
B. y = x + 5
C. y = 2x + 5
D. y = x - 5
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Correct Answer: y = x - 5
10. A bag has Rs 30.8 in the form of 1 rupee, 50 paise and 10 paise coins in the ratio of 6:3:2. What is the number of 50 paise coins?
Options
A. 8
B. 24
C. 12
D. 4
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Correct Answer: 12
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