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Question
In ?ABC measure of angle B is 90°. If cosecA = 13/12, and AB = 10cm, then what is the length (in cm) of side AC?
Options
A. 24
B. 12
C. 14
D. 26
Correct Answer
26
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Numbers problems
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1. If 49 is subtracted from the square of a number, then the result obtained is 576. What is the number?
Options
A. 24
B. 25
C. 23
D. 27
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Correct Answer: 25
2. What is the quotient when 1359 is divided by 48?
Options
A. 29
B. 31
C. 30
D. 28
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Correct Answer: 28
3. What is 0.53 + 0.53 equal to ?
Options
A. 1.068
B. 1.072
C. 1.082
D. 1.096
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Correct Answer: 1.068
4. If the square of sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, then what is the largest of the three numbers?
Options
A. 5
B. 6
C. 7
D. 8
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Correct Answer: 8
5. 30% of a number exceeds 25% of the same number by 27. What is the value of the number?
Options
A. 540
B. 270
C. 108
D. 90
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Correct Answer: 540
6. What least number must be added to 213, so that the sum is completely divisible by 9?
Options
A. 3
B. 2
C. 1
D. 4
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Correct Answer: 3
7. The sum of a non-zero number and twenty times its reciprocal is 9. What is the number?
Options
A. -5
B. 3
C. -3
D. 5
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Correct Answer: 5
8. If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?
Options
A. 53
B. 49
C. 57
D. 61
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Correct Answer: 53
9. In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?
Options
A. 1:3
B. 3:2
C. 3:1
D. 2:3
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Correct Answer: 3:1
10. ?ABC is right angled at B. BD is an altitude. DC = 9 cm and AC = 25 cm. What is the value of BC (in cm)?
Options
A. 12
B. 18
C. 16
D. 15
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Correct Answer: 15
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