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Simplification problems
1. Find the common factor of (3757+4357) and (3737+4337) ?
Options
A. (43 - 37)
B. (43 + 37)
C. (37 + 37)
D. 10
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Correct Answer: (43 + 37)
2. Calculate the value of 61681 x 61681 - 31681 x 3168130000 ?
Options
A. 93352
B. 94362
C. 93362
D. 95362
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Correct Answer: 93362
3. For which value of ?g? the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 = 0 has infinite number of solutions?
Options
A. 3
B. 4
C. 6
D. 9
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Correct Answer: 4
4. ?ABC is right angled at B. If m?A = 45°, then find the value of (coseC + 1/?3).
Options
A. (3?2+1)/3
B. (2+?3)/2
C. 5/?3
D. (?6+1)/?3
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Correct Answer: (?6+1)/?3
5. In ?UVW measure of angle V is 900. If cosecU = 13/12, and UV = 2.5 cm, then what is the length (in cm) of side VW?
Options
A. 6.5
B. 6
C. 4
D. 5.6
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Correct Answer: 6
6. The value of x for which the expressions 7x + 13 and 13x - 7 become equal is _____
Options
A. -10/3
B. 3/10
C. -3/10
D. 10/3
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Correct Answer: 10/3
7. On dividing 256a2b2c2 by 64a2 , we get
Options
A. 2cxc
B. 2bxb
C. 4 bxb.cxc
D. 4
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Correct Answer: 4 bxb.cxc
8. Rehman walks at 8 km/hr and Roma cycles at 13 km/hr towards each other. What was the distance between them when they started if they meet after 36 minutes?
Options
A. 12.6 kms
B. 18.9 kms
C. 15.8 kms
D. 9.5 kms
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Correct Answer: 12.6 kms
9. If 3x + 2y = 7 and 4x - y = 24, then x - y = ______.
Options
A. 9
B. 1
C. -9
D. -1
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Correct Answer: 9
10. What is the value of cosec 11?/6?
Options
A. -2/?3
B. ?2
C. -2
D. -?2
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Correct Answer: -2
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