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The amount would be 1000×(1+0.05)^4 =1215.5 as interest half yearly would be 5% and no.of times interest calculated would be 4.
A=P(1+(r/100))^n hence no. of ants at the end of 3 weeks would b 1000(1+0.12)^3 =1405.
Based on compound interest formula , principal P (1+.05)^2 =1323 amount .Hence P= Rs.1200.
Amount/Principal =1323/1200 =(1+%r)^2. Hence sq.root(1323/1200)=1.05,which makes interest rate as 5%.
Ans.option c 9.09%, based on formula A =P(1+%r)^n. Hence 1296=1089(1+%r )^2 i.e.sq.rt(1296/1089)= 36/33=12/11=1+%r, hence r= 100/11= 9.09%.
Average speed= Total distance travelled/Total time taken =(3+3)miles/(20+25) min.= 6 miles per 45 min.=6miles/(45/60)hour=6*60/45=8 miles per hour
Based on Young's Modulus formula Y=stress/strain, extension =force*length/(Area*Young Modulus).Based on the same,extension is directly proportional to length/radius**2 under same force and material.hence ratio of extensions option wise from a to d work s out to 8:4:2:(4/3). Thus maximum extension in option a
Since acceleration due to gravity g=GM/R**2, hence ratio of g on planet to that of earth equals( 1/10)/ (1/2)**2.Therefore g on this planet=3.92m/sec**2
Firstly,express the number in its simplest form I.e.takeout the common factors from the numerator and denominator simultaneously.Then if the denominator can be expressed as( 2**m) *(5**n) only with m& n being whole numbers,then it has a terminating decimal expression.Else,it has non terminating decimal expression.
Currently, I am in class 12th and that I have been studying under him for the past 4 years.He explains the methodology in detail along with his own examples.His emphasis is on fundamentals & clarity of concepts for a better understanding.Mastery in clearing up doubts with simple precise methods is the biggest asset with him.
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