M4maths Previous Puzzles

02 Aug 2016 Find the value

Find the value of
Sqrt [(.036*.049*.25)/(.16*.064*.081)]

OPtion

1) 3/2
2) 25/48
3) 25/81
4) 35/81
5) 7/8
6) 7/9
7) 35/48
8) 5/9
9) 2/3
10)None of these

Solution

Given Exp.
Sqrt [(36*49*25)/(16*64*81)]
= 6*7*5 / 4*8*9
= 35/48

Option 7)

Correct Option: 7 Best Solution (14)

Sandip Das   8 years AGO

=(0.036*0.049*0.25)/(0.16*0.064*0.081)
=(36*49*25)/(16*64*81)
=(49*25)/(4*64*9)
now sqrt[(49*25)/(4*64*9)]
=(7*5)/(2*8*3)
=35/48 (option 7)

Like? Yes (3) | No   

Vipul kumar   8 years AGO

We can eliminate all floating point...
because number after floating point in numerator is equal to the denominator...
now it becomes...

sqrt [(36�25�49)/16�64�81]
[(6�7�5)/(4�8�9)]
35/48

Like? Yes (1) | No   

shraddha   8 years AGO

sqrt(0.36*0.1*0.49*0.1*0.25/0.16*0.64*0.1*0.81*0.1)
5*6*7/4*8*9
=35/48

Like? Yes | No   

Sangeetha Chinnasamy   8 years AGO

(4.41*10^-4)/(8.29*10^-3)=5.31*10^-8
sqrt(5.31*10^-8)=0.729
so ans is 35/48

Like? Yes | No   

suman    8 years AGO

sqrt of(36/1000*49/1000*25/100)/(16/100*64/1000*81/1000)
=(6*7*5)/(4*8*9)
=35/48

Like? Yes | No   

JAYA TRIPATHI   8 years AGO

Sqrt(.0336*.049*.25/.16*.064*.081)

=Sqrt(36*49*25/16*64*81)

=6*7*5/4*8*9 = 35/48

Like? Yes | No   

Amit pandey   8 years AGO

solving the qstn inside the braces we get sqrt(1225/2304)
so.ans is sqrt of (1225/2304)i.e. 35/48

Like? Yes | No   

Akshat Mokashi   8 years AGO

sqrt[(.036*.049*.25)/(.16*.064*.081)]=sqrt[(7^2*5^2)/(8^2*6^2)]=7*5/8*6=35/48

Like? Yes | No   

JAGARLAMUDI MAYURI   8 years AGO

multiply and divide with 100000000
Sqrt [(.036*.049*0.25*100000000)/(.16*.064*.081*100000000)]
=Sqrt[(36*49*25)/(4*8*9)]=[(6*7*5)/(4*8*9)]=35/48

Like? Yes | No   

PRABHAT KUMAR   8 years AGO

sqrt{(36*49*25)/(16*64*81)}
(6*7*5)/(4*8*9)
35/48
option 7
chess

Like? Yes | No (1)  

DEVANSH SUBNANI   8 years AGO

.036*.049*.25=4.41*10^(-4) -(1)
.16*.064=8.2944*10^(-4) -(2)
eqn1/eqn2

0.5316
sqrt(0.5316)=0.729
35/48=0.729
Therefore,option(7) is the correct answer.

Like? Yes (1) | No (2)  

Jaikumar Bhatia   8 years AGO

Sqrt[(.036*.049*.25)/(.16*.064*.081)
=>Sqrt[(36*49*25)/16*64*81)]...........Remove decimals
=>(6*7*5)/4*8*9).................................Sqrt
=>(210/288)
=>35/48
Ans is 35/48
Option is (7)

Like? Yes | No (1)  

Mukund Manohar   8 years AGO

Sqrt[(.036*.049*.25)/(.16*.064*.081)]
= (6*7*5)/(4*8*9)
= 35/48

Like? Yes | No (1)  

Sohini Chakraborty   8 years AGO

0.036 × 0.049 = 0.001764 whose sqrt is 0.042 and sqrt 0.25 is 0.5.. hence the numerator becomes (0.042×0.5) = 0.021
In denominator, sqrt (0.064 × 0.081) is 0.072 and sqrt 0.16 is 0.4 hence (0.072×0.4) = 0.0288...
So basically the answer is 0.021/0.0288 = 210/288 = 35/48

Like? Yes (1) | No (2)