Latest TCS Aptitude Question SOLUTION: If all the factors of 5040 are written in ascending order then which will be 55th factor from beginning?

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If all the factors of 5040 are written in ascending order then which will be 55th factor from beginning?

Asked In TCS pavithra (9 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

jaya chandra  (9 years ago)

the total factors are 5040=2^4*3^2*5*7=(4+1)(2+1)(1+1)(1+1)=60

so
1*5040
2*2520
3*1680
4*1260
5*1008
6*840
.....

55th factor is 840

Is this solution Helpfull? Yes (43) | No (3)  

Swayanti Bhaumik  (9 years ago)

840???
5040 has got 60 factors...
6*840=5040

Is this solution Helpfull? Yes (5) | No (1)  

Tirzah  (7 years ago)

5040 = 2^4 × 3^2 × 5^1 x 7^1

Number of divisors = (4+1)(2+1)(1+1)(1+1) = 60

So 55th factor from beginning is also the 6th factor from the end

60th = 5040
59th = 5040/2 = 2520
58th = 5040/3 = 1680
57th = 5040/4 = 1260
56th = 5040/5 = 1008
55th = 5040/6 = 840

Is this solution Helpfull? Yes (2) | No   

m.nagashilpa  (9 years ago)

5040 factors are ascending order 2,4,6,8,10........
these are in a.p
in a.p nth term is a+(n-1)d
so 55th term is 2+54(2)=110

Is this solution Helpfull? Yes (1) | No (16)  

Archana D R  (9 years ago)

Which is the right ans?

Is this solution Helpfull? Yes (1) | No   

saurav justin  (7 years ago)

the factor will be 2,4,6,8,10,12,14,16,18,20.......... here this series in a.p with first term 2 and cd=2
so 55Tth term will be =2+(55-1)*2=110. i think this is the correct answer.

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