29 Dec 2017

161. |2x-3|≤ 1

1≤ x≤ 2

162. a+4d=18

5/2{2a+4d}=75

5/2{a + a+4d} = 75

5/2{a+ 18} = 75

 a + 18 = 30

a=12

163. v3/4a2

164. 12% + 58% =70%

30% =720000

100% = 720000/30*100 = 2400000

165. x= √3 + √2

1/x = 1/(√3 + √2)

= √3 - √2

x + 1/x = 2√3

(x + 1/x)3  = 24√3

x3 + 1/x3 + 3.x.1/x(x+1/x) =24√3

x3 + 1/x3  = 24√3 - 6√3 = 18√3

166. logx(1/8) = -2

x-2 = 1/8

1/x2  = 1/8

x2=8

x = 2√2

167. 2x + 21-x = 3

2x + 2/2x =3

Lets 2x=p

p + 2/p = 3

p2 + 2 = 3p

p2 –p -2p + 2=0

p(p-1)-2(p-1)=0

(p-1)(p-2)=0

Either p=1, => 2x=1 =>2x=20 => x=0

Or p =2, 2x=2 =>2x=21 => x=1

Ans (0,1)

168. একটি কোণের মান পূরক কোণের অর্ধেক

x and 90-x

x= (90-x)/2

2x= 90 – x

3x= 90

X=30

169. In Triangle ABC, <B=90o, AC= 2AB

<c=30o

170. A ={x: x is Fibonacci and x2<64} elements P(A)=?

A={0,1,2,3,5}

P(A)=25 = 32

171. 4 ladies and 6 men are to be selected to form a committee where one man is always present.

Ans. 84

172. ৩০ থেকে ৪০ পর্যন্ত সংখ্যা থেকে

Ans. 5/11

173. টাকায় ৫টি মারবেল

Ans. 4

174. ratio of two numbers 2:3 and gcm 4

Greater number is 3*4=12

175. কোন আসল ৩ বছরে মুনাফা আসলে ৫৫০০ টাকা হয়, সুদ আসলের ৩/৮ অংশ হলে মুনাফার হার কত?

Lets

Principal =8x

Interest =3x

Interest rate=3x*100%/(8x*3)=  12.5%


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