Latest TCS Aptitude Question SOLUTION: Q1. What is the next number of the following sequence 3/7,5/21,7/43,9/73,11/111,.........

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Q1. What is the next number of the following sequence
3/7,5/21,7/43,9/73,11/111,.........

Asked In TCS avinash kumar (10 years ago)

Unsolved Read Solution (40)

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Read Solution (40) :

Arbaz Khan  (10 years ago)

13/157
numerator clearly increase by 2
denominator (numerator * (numerator-1)) + 1

Is this solution Helpfull? Yes (35) | No   

NITISH KUMAR  (10 years ago)

upper side consequently odd no is coming
so next odd no is 13
in lower side 21-7=14
43-21=22
73-43=30
111-73=38,here difference is always increases by 8
so next difference is 46
so next no. is 111+46=157
so ans is 13/157

Is this solution Helpfull? Yes (10) | No   

kurakula dileep kumar  (10 years ago)

3,5,7,9,11,13 hte upper part is 13....
((3+1)*5)+1,((5+1)*6)+1,((7+1)*9)+1,((9+1)*11)+1,((11+1)*13)+1.....
21 , 43 , 73 , 111 , 157 ....
so,ans is 13/157

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

rajkumar singh  (10 years ago)

3
3+2=5
5+2=7
7+2=9
9+2=11
3*2+1=7
5*4+1=21
7*6+1=43
9*8+1=73
11*10+1=111
13*12+1=157

so ans is 13/157

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

siddharth prakash singh  (10 years ago)

ans is-13/157

Is this solution Helpfull? Yes (2) | No   

imran sohail  (10 years ago)

3*(3-1)+1=7
5*(5-1)+1=21
similarly
13*(13-1)+1=157

Is this solution Helpfull? Yes (1) | No   

Jigyasa Kumar  (10 years ago)

Answer : 13/157
The numerators are following odd no. pattern from 3 then 5,7,9,11,13..
and the denominators are following the pattern in which the difference between the two consecutive nos. have a difference of 8.i.e.
21-7 = 14 ..(1)
43-21=22 ..(2)
73-43=30 ..(3)
111-73=38 ..(4)
now lookin on the pattern 14,22,30,38 they are having a difference of 8
so the next no. will ne 157
because 157 - 111 = 46 and that is (38+8)

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

nisha sengar  (10 years ago)

at first taking numerators-
3,5,7,11 are prime nos ,so next is 13.
on obsering denominators-
3*2+1=7,5*4+1=21......similarly 13*12+1=157.
so,answer is 13/157.

Is this solution Helpfull? Yes (1) | No   

Nitin Jha  (10 years ago)

answer:13/157

numerators: 3,3+2=5,5+2=7,7+2=9,9+2=11,11+2=13
denominators: 7,7+14=21,21+(14+8)=43,43+(14+8+8)=73,73+(14+8+8+8)=111,111+(14+8+8+8+8)=157

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Ankit Jain  (10 years ago)

Ans is 13/157 because the diff between two numerator is 2 nd in denominator diff in 8

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Robin Kumar  (10 years ago)

13/157
numerator is increasing by 2 every time
denominator follows the relation numerator*(numerator-1) + 1

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Vinayak Shankar Talkar  (10 years ago)

Answer 13/157
numerator increases by 2
denominator increases by (numerator*(even number starting from 2))+1.
i.e. (3*2)+1=7; (5*4)+1=21; and so on.. up to (13*12)+1=157

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ABHISHEK KUMAR MISHRA  (10 years ago)

13/157
difference between any term and preceding term of numerator is =2
and in denomeretor: 21-7=14
43-21=22
73-43=30
111-73=38
so in above 8 increases respectivly so our answer is 13/157

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Girish Gadad  (10 years ago)

Ans=13/157

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venkatesh babu  (10 years ago)

numerator is odd sequence denominator is difference is 8 and then added.13/157

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Nikhil Agnihotri  (10 years ago)

The corret answer is 13/157
as in the numerator, we can observe a pattern of odd number series starting from 3
and in the denominator, we can see that the difference in the digits increases by 8 after every no...like diff b/w 21&7 is 14..similarly 43-21=22 and 73-43=30 and so on...so the answer is- 13/157.

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Md.Sultan Khichi  (10 years ago)

As we can see that numerator is increasing by 2 ,so numerator becomes 13.
1st denominator is (3*2+1),and 2nd denominator is (5*4+1) and so on...
so denominator is numeratoa*(numerator-1)+1,so the ans is 13/157.

Is this solution Helpfull? Yes | No (1)  

Abhik Kumar Dey  (10 years ago)

3/7,5/21,7/43,9/73,11/111,...
as we can see that the numerators are increasing by 2,so the numerator of the next number is 13.
for denominator, the following happens:
7=(3*3)-2
21=(5*5)-4
43=(7*7)-6
73=(9*9)-8
111=(11*11)-10
therefore the next number's denominator will be (13*13)-12 that is (169-12) that is 157
Thus the number is 13/157

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Akshita Singh  (10 years ago)

13/157
numerators are prime nos. for all the terms
and for denominator is multiplied by even no. 4,6 ,8,10 and 1 is added to the answer

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Aditya Sadhukhan  (10 years ago)

3*5+6=21
5*7+8=43
7*9+10=73
9*11+12=111
11*13+14=157

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aayush  (10 years ago)

13/157
numerator increased by 2
denominator decreased by 8

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Gaurav Kumar  (10 years ago)

13/157
3,5,7,9 in AP
(3*(3-1)+1)=7,similarly (13*(13-1))+1=157

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kamlesh kumar vishwakarma  (10 years ago)

ans is 13/157
solution:-
numerator increase by 2.
and for denominator following sequence-
3*(3-1)+1=7
5*(5-1)+1=21
7*(7-1)+1=43
.......similarly
13*(13-1)+1=157

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sarita kumari  (10 years ago)

13/157
numerator 3+2=5,5+2=7,7+2=9,9+2=11,11+2=13
denominator:
7+36=43
21+52=73
diff 52-36=16
43+68=111
68-52=16
lt the required no be z/y
68+16=84
diff btn the required no is 84.
therefore y=73+84=157
z=13
ans: 13/157

Is this solution Helpfull? Yes | No (1)  

Aashsih  (10 years ago)

in upper series only two's increment 3+2,5+2...
and lower series add one in previous upper series number and multiply with lower series number and add 1 ie. (3+1)*5+1=21

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ShAg  (10 years ago)

13/157
numerator: numerator + 2
denominator: (numerator*(numerator-1))+1

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swati s. ware  (10 years ago)

ans is 13/157
here seguence is numerator(nr) is increse by 2
and denr is increse by (nr-1)^2+nr

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ch n m chaitanya  (10 years ago)

ans=13/157;

oddnumber/((oddnumber*oddnumber-1)+1);

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SHIVANI PRAKASH  (10 years ago)

difference between the 2 consecutive numerators is 2.....nd that of denominators is 14,22,30,38 which is an a.p. with diff. 8 thus the next term in a.p. is 46 and the deno. is 111+46=157...no. becomes 13/157

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prince kumar  (10 years ago)

13/(13*12+1)=13/157

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naveen  (10 years ago)

13/157
IN NUMERATOR ODD NUM SERIES
IN DENOMINATOR NUM/(NUMXNUM-1)+ 1
13/(13X12)+ 1 13/157

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Krishnaveni A  (10 years ago)

13/153.difference between the numerators is 2 so add 2 with 11 is 13.
to add the difference between the 2 denominators with the next denominators

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Krishnaveni A  (10 years ago)

13/157.numerator difference is 2
denominator difference is 8

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nidhi soni  (10 years ago)

13/157
numerator increases by 2
denominator's difference is increasing by 8
that is 21-7=14
43-21=22(14+8)
73-43=30(22+8)
111-73=38(30+8)
now the difference will be 38+8=46
that is 111+46=157

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Md Shahnawaz Shahab  (10 years ago)

the next term will be (n+2)/(((n+2)x12)+1)
where n is the numerator of the last term. here the next term will be 13/133.

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Anilkumar  (10 years ago)

ans.13/157
Numerator goes 3,5,7,9,11,13....
Denominator goes
7+14=21
21+14+8=43
43+14+8+8=73
73+14+8+8+8=111
111+14+8+8+8+8=157

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hritvik kumar  (10 years ago)

13/157
as,1st is (7-3)=4 i.e.,2^2
2nd is (21-5)=16 i.e.,4^2
and so on 5th is (111-11)=100 i.e.,10^2
so next is 13/smthing ,13 as num series is increasing by 2
nw their diff should be 12^2=144 i.e.,x-13=144 so 157

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nishant kumar  (10 years ago)

numeratoris just incresing by 2
so 3,5,7,9,11,13
and denominator 3*2+1=7
5*4+1=21
7*6+1=43
9*8+1=73
11*10+1=111
13*12+1=157
so next term is 13/157

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khushboo bansal  (10 years ago)

next nu is 13/157.
numerator is increasing by 2 and denominator has a difference of 8.

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LOGAN WOLVERINE  (10 years ago)

in numerator 3,5,7,9,11,..13

in denominator

3*2=6+1=7
5*4=20+1=21
7*6=42+1=43
9*8=72+1=73
11*10=110+1=111
..
13*12=156+1=157.
so answer is

13/157

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