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Simplification problems
1. If x = 1 + ?2 + ?3, then the value of x2-2x-4=0
Options
A. ?6
B. 2?3
C. 3?2
D. 2?6
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Correct Answer: 2?6
2. If 2x-y2+(3y-2z)2=0, then the ratio of x:y:z is
Options
A. 1 : 3 : 2
B. 1 : 2 : 3
C. 3 : 1 : 2
D. 3 : 2 : 1
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Correct Answer: 1 : 2 : 3
3. If (4a-3)2=0, then the value of 64a3+12a+13 is
Options
A. 0
B. 11
C. 22
D. 33
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Correct Answer: 22
4. The value of cos220°+cos270° is
Options
A. 0
B. 1
C. 1/2
D. 13
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Correct Answer: 1
5. If a=101 then the value of a(a2-3a+3) is
Options
A. 1000000
B. 1010101
C. 1000001
D. 999999
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Correct Answer: 1000001
6. If x=2+3, then the value of x2-x+1x2+x+1 is
Options
A. 2/3
B. 3/4
C. 4/5
D. 3/5
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Correct Answer: 3/5
7. In ?ABC, ?B=35°, ?C=65° and the bisector of ?BAC meets BC in D. Then ADB is
Options
A. 40°
B. 75°
C. 90°
D. 105°
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Correct Answer: 105°
8. AB is a diameter of a circle. C is a point on the tangent drawn at A . If AB = 8 cm and AC = 6 cm , then the length of BC is
Options
A. 10 cm
B. 14 cm
C. 5 cm
D. 7 cm
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Correct Answer: 10 cm
9. If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer , the resulting number is always divisibleby
Options
A. 2
B. 5
C. 6
D. 9
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Correct Answer: 9
10. If a sum of money deposited in a bank at simple interest is doubled in 6 years, then after 12 years, the amount will be
Options
A. 5/2times the original amount
B. 3times the original amount
C. 7/2times the original amount
D. 4times the original amount
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Correct Answer: 3times the original amount
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