TCS
Company
Numerical Ability
Arithmetic
If all the factors of 5040 are written in ascending order then which will be 55th factor from beginning?
Read Solution (Total 6)
-
- 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 - 10 years agoHelpfull: Yes(43) No(3)
- 840???
5040 has got 60 factors...
6*840=5040 - 10 years agoHelpfull: Yes(5) No(1)
- 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 - 8 years agoHelpfull: Yes(2) No(0)
- 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
- 10 years agoHelpfull: Yes(1) No(16)
- Which is the right ans?
- 10 years agoHelpfull: Yes(1) No(0)
- 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.
- 8 years agoHelpfull: Yes(0) No(1)
TCS Other Question