Latest CAT Aptitude Question SOLUTION: The sum of four consecutive two digit odd numbers when divided by 10 become a prefect square. what are the consecutive numbers?

• Placement Papers
• /
• CAT
• /
• Numerical Ability
• /
• Number System

CAT Question Papers:

(#M40034276) CAT Numerical Ability question numbers Keep an EYE

The sum of four consecutive two digit odd numbers when divided by 10 become a prefect square. what are the consecutive numbers?

Asked In CAT SURUTHI.R (10 years ago)

Unsolved Read Solution (5)

Is this Puzzle helpful?   (0)   (1) Submit Your Solution Number System

Read Solution (5) :

Ann Theressa  (10 years ago)

ans : 37,39,41,43

Let the numbers be (x-3),(x-1),(x+1),(x+3)

their sum = (x-3)+(x-1)+(x+1)+(x+3)
= 4x

Given 4x/10 is a perfect square
Also x is a 2 digit number

====> x = 40
so the numbers are 37,39,41,43

Is this solution Helpfull? Yes (2) | No   

SUDHIR SHARMA  (10 years ago)

37,39,41,43 wil be the numbers.
(37+39+41+43)/10 = 160/10 = 16 = (4)^2

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

Nitin Jaiswal  (10 years ago)

Let the numbers be x-3,x-1,x+1,x+3.
[(x-3)+(x-1)+(x+1)+(x+3)]/10=2x/5
Since the digits are 2 digit integers this value(2x/5) can only be equal to 16 which gives x=40 and hence the numbers are 37,39,41,43.

Is this solution Helpfull? Yes | No   

shubham jain  (10 years ago)

7,9,11,13
let the numbers be x,x+2,x+4 & x+6 . Where x is an odd number.
now their sum will be 4x+12, and when divided by 10. They would be (2x+6)/5, this should be perfect square. For that by putting values of x at value 7 the desired resuld is attained. that is (2*7 +6)/5.It will be 4 and it is a perfect square. so the x is 7 and the four numbers are 7,9,11,13.

Is this solution Helpfull? Yes | No   

SUCHETAN SASIS  (10 years ago)

answer is 7,9,11,13
7+9+11+13=40
40/10=4
4 is a perfect square

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.