Advanced Maths collection
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3years == 5085
1 years == 1695

x•0.15+(12800-x)•0.12=1695
0.03x+1536=1695
0.03x=159
x=5300

Answer is D
Forwarded from Shivanjli Bajaj
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1/A+1/B=1/19
A=1/3•B

1/A+1/3A=1/19
A=76/3
B=1/3•76/3=76.

19-7=12 => 12/19

76•12/19=4•12=48 days.
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x^lgx/2=(x/10)²
100x^lgx/2=x²
lg100•x^(lgx/2)=lgx²
2+lgx^(lgx/2)=lgx²
2+0.5lgx•lgx=lgx²
lg²x-4lgx+4=0
lgx=2

x=100
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3/4+5/(4•9)+7/(9•16)+9/(16•25)+..=
3/4+1/4-1/9+1/9-1/16+1/16-1/25+..
3/4+1/2²-1/3²+1/3²-1/4²+1/4²-1/5²+..+1/99²-1/100²=
1-1/100²=9999/10000
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10sin⁴a+15cos⁴a=6
10(1-cos²a)²+15cos⁴a=6
25cos⁴a-20cos²a+4=0
cos²a=20/50=0.4
sin²a=1-0.4=0.6

27cosec⁶a+8sec⁶a=27•5³/3³+8•5³/2³=
125•2=250
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A=C+9; A=1.5B
B=1.2C

A=1.5B=1.5•1.2C=1.8C

1.8C=C+9
0.8C=9
C=11.25

A=9+11.25=20.25
B=1.2C=13.5

=> A+B+C=20.25+11.25+13.5=45.
Forwarded from Math Holics
LCM and HCF.pdf
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LCM AND HCF
All Previous Years Typewise Questions (ENGLISH)

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1/A+1/B=1/9;
A=B-7.5; B=A+7.5

1/(A+7.5)+1/A=1/9
9A+9(A+7.5)=A(A+7.5)
18A+67.5=A²+7.5A
2A²-21A-135=0
A=(21+39)/4=15

And B=15+7.5=22.5

22.5•2/9=45/2•2/9=5days

Ans D
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