11). Find the common factor of \( \Large x^{2}-16, x^{2}-8x+16 \)
A). \( \Large \left(x+4\right) \) |
B). \( \Large \left(x-4\right) \) |
C). \( \Large x^{2}-16 \) |
D). None of these |
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12). \( \Large \frac{x^{2}-3x+2}{x^{2}-4x+3}=? \)
A). \( \Large \frac{x-2}{x-3} \) |
B). \( \Large \frac{ \left(x-2\right) }{x-1} \) |
C). \( \Large \frac{x-1}{x-3} \) |
D). \( \Large \frac{x+2}{x-1} \) |
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13). If (x+1) divides \( \Large x^{3}-px^{2}-4x+1 \) and the remainder is zero, then the value of p is
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14). If (x+3) divides \( \Large x^{3}+px-81 \) and the remainder is zero, then the value of p is
A). 3 |
B). 2 |
C). -36 |
D). 6 |
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15). 15. If (x+2) divides \( \Large x^{2}+ax+b \) the remainder is 3, If (x+3) divides, the remainder is 33, then find the value of a and b
A). a=5, b=9 |
B). a= -5, b=9 |
C). a= -5, b= -9 |
D). Cannot be determined |
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16). Find the sum of 5+8+aa+....+24
A). 1500 |
B). 1800 |
C). 2100 |
D). 2400 |
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17). In a GP a=6, r=2. Find the 4th term
A). 128 |
B). 48 |
C). 64 |
D). 32 |
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18). Find the sum of 1+2+3+.....+50
A). 1585 |
B). 1655 |
C). 1275 |
D). 1365 |
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19). Find the sum of first '39' odd numbers
A). 1831 |
B). 1941 |
C). 2151 |
D). 1521 |
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20). Find the sum of \( \Large 1^{2}+2^{2}+3^{2}+....+15^{2} \)
A). 1240 |
B). 1420 |
C). 1680 |
D). 1730 |
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