Latest iGate Aptitude Question SOLUTION: If 3 numbers are in the ratio of 3:2:5 such that sum of their squares is equal to 1862. what is the middle number? Option a) 25 b) 14 c) 30 d) 34

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If 3 numbers are in the ratio of 3:2:5 such that sum of their squares is equal to 1862. what is the middle number?
Option
a) 25
b) 14
c) 30
d) 34

Asked In iGate (10 years ago)

Unsolved Read Solution (28)

Is this Puzzle helpful?   (35)   (10) Submit Your Solution Ratio and Proportion

Read Solution (28) :

Shubhajit Halder  (10 years ago)

Let the numbers are 3x, 2x, 5x
Now,
(3x)^2 + (2x)^2 + (5x)^2 = 1862
=> x^2 = 49
=> x = 7
middle number is 2x = 2 * 7 = 14

Is this solution Helpfull? Yes (38) | No   

udayreddy  (9 years ago)

Let numbers be 3x, 2x, 5x
Now 9x2+4x2+25x2=1862
X2=1862/38
X=7
So, second number=2*7=14

Is this solution Helpfull? Yes (10) | No (1)  

Rohan Jain  (9 years ago)

let the no.s be 3x, 2x and 5x

given: (3x)^2+(2x)^2+(5x)^2=1862

Solving above equation, we get

x=7

so, middle no. i.e., "2x=14"

Is this solution Helpfull? Yes (3) | No   

prabhaharan  (10 years ago)

From options
b) 14
3 : 2 : 5
21 : 14 : 35
21^2 + 14^2 +35^2
441 + 196 + 1225 = 1862

Alternate method
middle number is given
if 2 parts = 25 / 14 / 30 /34
then 1 part is 12.5 / 7 / 15 / 17

1862 must be divisible by any of the above

1862 is not divisible by 12.5 so option a is not possible
" " is divisible by 7 so option b

Is this solution Helpfull? Yes (2) | No (7)  

kumar gourav   (10 years ago)

14
(3x)^2+(2x)^2+(5x)^2=1862
x^2=49
x=7
2*x=14

Is this solution Helpfull? Yes (2) | No   

Siddhartha Bansod  (10 years ago)

let the no.be x
so the ratio will be
3x:2x:5x
Sum of their squares 9(x)^2 + 4(x)^2 + 25(x)^2 = 1862
38(x)^2=1862
x=7, so the middle no will be 7*2=14
Ans:-14

Is this solution Helpfull? Yes (2) | No   

VENKATESH V C  (9 years ago)

b) 14
(3x)^2+(2x)^2+(5x)^2=1862
x=7

Is this solution Helpfull? Yes (2) | No (1)  

vinusha reddy  (9 years ago)

b)=14
let the num be x
9x^2+4x^2+25x^2=1862
x^2=49===>x=7
then middle num=7*2=14

Is this solution Helpfull? Yes (2) | No   

Sneha Tuscano  (9 years ago)

the 3 nos are in the ratio 3:2:5
so let the nos be 3x 2x 5x
(3x)^2+(2x)^2+(5x)^2=1862
9x^2+4x^2+25x^2=1862
38x^2=1862
x=7
the middle term is 2x=2*7=14
therefore b is the ans

Is this solution Helpfull? Yes (2) | No   

SriLakshmi  (10 years ago)

30

15*2=30
1583=45
15*5=75
The sum of squares is 1862
45^2+30^2+75^2=1862

Is this solution Helpfull? Yes (1) | No (7)  

Vydehi Boga  (9 years ago)

The answer for this question is 14.

Is this solution Helpfull? Yes | No (1)  

ITtude  (9 years ago)

As 3 numbers are in the ratio of 3:2:5,
Let the numbers are 3x, 2x, 5x
Now, so the ratio will be
3x:2x:5x
As sum of their squares is equal to 1862

Now,
(3x)^2 + (2x)^2 + (5x)^2 = 1862
=> x^2 = 49

=> x = 7

middle number is 2x = 2 * 7 = 14
b) 14

Is this solution Helpfull? Yes | No   

shilpa goyal  (9 years ago)

suppose no. is 3x,2x,5x
ans is b

Is this solution Helpfull? Yes | No (1)  

Chirag Ranjan Lahiri  (9 years ago)

let the num be x
9x^2+4x^2+25x^2=1862
x^2=49===>x=7
then middle num=7*2=14

Is this solution Helpfull? Yes | No   

srija dutta  (9 years ago)

let the ratio common factor equals to x.thus the nos are 3x,2x,5x
thus 38 x^2=1862(as sum of the squares=1862)
thus x=14

Is this solution Helpfull? Yes | No   

SANTOSINI BEHERA  (8 years ago)

x=7*2=14 is da ans

Is this solution Helpfull? Yes | No   

md shabbir ahmad  (8 years ago)

let the numbers are 3x,2x,5x
then (9x^2+)+4x^2+25x^2=1862
x^2=49
x=7
middle number=2x=14

Is this solution Helpfull? Yes | No   

madhusudhan  (8 years ago)

check with the options. if u take 14 as middle number
the ratio will be 21:14:35
check sum of squares of these numbers will gives u 1862
remaining will not give
so,answer is 14

Is this solution Helpfull? Yes | No   

TARANG VARSHNEY  (8 years ago)

root49*2=14

Is this solution Helpfull? Yes | No   

Subhajit Khan  (8 years ago)

root(1862/(3^2+2^2+5^2))= root(1862/38)= 7
middle no= 7*2= 14

Is this solution Helpfull? Yes | No   

kavitha   (8 years ago)

3:2:5
so sum of squares of these numbers is (3x)(3x)+(2x)(2x)+(5x)(5x)=1862
38(x^2)=1862
x^2=1862/38
x^2=49 therefore x=7
second num is 2(x)=2(7)=14

ans is (b)

Is this solution Helpfull? Yes | No   

ch lakshmi thirupathamma  (8 years ago)

3x,2x,5x
9x^2+4x^2+25^2=1826
x^2=49
x=7
middle no 2x=14

Is this solution Helpfull? Yes | No   

PHULEN  (8 years ago)

9+4+25=38
4/38*1862=196
root of 196=14 Ans

Is this solution Helpfull? Yes | No   

Shikha Kumari  (8 years ago)

Let the three nos. be 3x , 2x & 5x
So a.t.q,
(3x)^2 + (2x)^2 +(5x)^2 =1862
x^2 (38)= 1862
x^2=1862/38
x^2=49
x=7

therefore, the middle no. is 2x=2*7=14
ans. is 14

Is this solution Helpfull? Yes | No   

spandana  (8 years ago)

14
9x^2+4x^2+25^2=1862
38x^2=1862
x=7
middle number=7*2=14

Is this solution Helpfull? Yes | No   

Gottiparthi Shiva Sandeep Kumar  (8 years ago)

Take b)14
then 21,14,35 are three numbers then squares sum = 1862.

Is this solution Helpfull? Yes | No   

G Rakesh  (8 years ago)

b is the answer
3:2:5 their sum squares =1862
multiply with 7 by each=21:14:35
21*21=441,14*14=196,35*35=1225
441+196+1225=1862 so mid value=14

Is this solution Helpfull? Yes | No   

prashant kumar singh  (6 years ago)

1862/38=49
x=7
2*7=14

Is this solution Helpfull? Yes | No   

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