Latest Elitmus Aptitude Question SOLUTION: If (2.5) ^10=w then w is nearly equal to? a)5500 b)9500 c)10500 d)5500

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(#M40093830) ELITMUS Numerical Ability question Keep an EYE

If (2.5) ^10=w then w is nearly equal to?
a)5500 b)9500 c)10500 d)5500

Asked In Elitmus Paresh Kumar Nayak (9 years ago)

Unsolved Read Solution (7)

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Siddartha Mulumudi  (9 years ago)

I did it diferently
x = 2.5^10
then log x =10log 2.5 =10log(5/2) = 10(log 5 - log 2) =10(0.3980) (Solving with given log values
log x = 3.98 so x = 10^(3.98)
We know 10^4 = 10000. Hence x= 10^3.98 will be obviously less than 10000
so the distance between 9500 to x will be less than 500 and distance between x and 10000 will be >500

Hence 9500 is the ans

Is this solution Helpfull? Yes (23) | No (3)  

PHANI CHAND TEKKEM  (9 years ago)

2.5 ^ 10
=> (5 ^10) /(2^10)
=> 3125*3125/1024
=> here 1024 strikes 3125 nearly 3 times
=> so 3* 3125= 9375
=> so nearly 9500
ans (b)

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debojyoti pal  (9 years ago)

2.5^10
=(25/10)^10
=(25/4)^5
=6.25^5
6^5 is7776 and 6.3^5 is 9924 hence 9500 ans

Is this solution Helpfull? Yes (1) | No (3)  

vikrant kumar choudhary  (8 years ago)

if, W=(2.5)^10
take log both sides
=> logW = 10*log(2.5) =10*log(5/2)
=> logW = 10(log5-log2)= 10*0.398 =3.98
=> W = 10^(3.98)
=> W = 9549 (approx) i.e near to 9500

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Siddartha Mulumudi  (7 years ago)

ABHISHEK SANWAL:: I suggest to just remember the values of log2, log5, log3 log7 because it reduces our calculation time.

log 2 is 0.3010
log 3 0.4771
log 5 0.6990
log 7 0.85

SO incase if u want to find log 6 u can do it as log 2 + log 3 and put an approximate value.

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abhishek sanwal  (9 years ago)

how ti find the values of log 5 nd log 2 ??? sidhartha

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prakhar  (8 years ago)

value of log is given in the ph question paper

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