Latest TCS Aptitude Question SOLUTION: a three digit number, sum of the digit is 17, the sum of square of digits is 109, if it is subtracted wit 495 the number gets reversed, find the three digit number. A) 683 B) 863

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Arithmetic

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40152606) TCS Numerical Ability question quants Keep an EYE

a three digit number, sum of the digit is 17, the sum of square of digits is 109, if it is subtracted wit 495 the number gets reversed, find the three digit number.

A) 683
B) 863
C) 368
D) 686

Asked In TCS aswinbalamurali (8 years ago)

Solved Anupreet Kaur Read Solution (19)

Is this Puzzle helpful?   (3)   (1) Submit Your Solution Arithmetic

Read Solution (19) :

MADHUBABU  (8 years ago)

from the given options
863-495=368
therfore ans is B.863

Is this solution Helpfull? Yes (13) | No (1)  

Anupreet Kaur  (8 years ago) Best Solution

Ans : B

Let unit digit be z , tens digit be y and hundredth digit be x.
Thus no. = 100x+10y+z
Acc. to ques, 100x+10y+z - 495 = 100z+10y+x
100x - x=100z -z +495
99x=99z +495
99(x-z)=495
x-z = 5
x= z+5
(3+5=8 . (3=z is the unit digit and 8=x is the hundredth digit ,,Ans B is correct)

Is this solution Helpfull? Yes (5) | No (2)  

kondapuram tirumalreddy  (8 years ago)

given that
x+y+z=17
x^2+y^2+z^2=109
when 495 is subtracted from the number ,the number get reversed.
so 100x+10y+z-495 =100z+10y+x
by solving we get
x-z =5
x=z+5
if we take z=3(units place) then x=8 (hundreds place) and y=6 which satisfies the given question
so, 863 is the correct answer

Is this solution Helpfull? Yes (2) | No   

Oindrila Ghosh  (8 years ago)

B
8+6+3=17
64+36+9=109
863-495=368=reverse of 863

Is this solution Helpfull? Yes (1) | No   

milan jena  (8 years ago)

x+y+z=17
x^2+y^2+z^2=109
100x+10y+z-495=100z+10y+x
hence we get x-z=5
then taking consider out of 1st three option only "B" can satisfy all of the three equation.

Is this solution Helpfull? Yes | No   

rashmi   (8 years ago)

otion d iss not correct bcz sum of digits are more than 17. now we have 3 options. option c is not correct bcz if we sutract 495 than result become -ve.
so now check for option A AND B.
683-495= 188 its not correct
now check option b
863-495= 368.

Is this solution Helpfull? Yes | No   

Sandip Shaw  (8 years ago)

we can eliminate the option c - because c

Is this solution Helpfull? Yes | No (2)  

aswinbalamurali  (8 years ago)

guys simply you can use the trial and error method to find the answer

Is this solution Helpfull? Yes | No (1)  

kishorechandra  (8 years ago)

We need not go for complete solution...we can simply subtract 495 from a number which seems to get the solution near to reverse of it..863-495=368 and we can crosscheck for other conditions too..6+3+8=17;

Is this solution Helpfull? Yes | No   

vishwajeet kumar  (8 years ago)

guys only 863 is greater by sufficient amount than 495

Is this solution Helpfull? Yes | No (1)  

BHANU PRAKASH  (8 years ago)

check though options-B

Is this solution Helpfull? Yes | No   

Shanmathi.S  (8 years ago)

Just consider the options. 863-465=368.. so the answer is option C

Is this solution Helpfull? Yes | No   

saurabh bhandari  (8 years ago)

b) 863
only number in the option which gets reversed when
subtracted by 495

Is this solution Helpfull? Yes | No   

PRIADARSINI  (8 years ago)

opt B
683-495=!386
863-495=368( no. gets reversed)
hence ans s B) 863

Is this solution Helpfull? Yes | No   

barsha  (8 years ago)

863 as after subtracting 495 from 863 the number will be reversed i.e 368.

Is this solution Helpfull? Yes | No   

sutapa banerjee  (8 years ago)

100x+10y+z=495+100z=10y+x
=> 99(x-z)=495
=> x-z=5
opt (B) 8-3=5

Is this solution Helpfull? Yes | No   

narayana   (8 years ago)

683-495=188
863-495=368

Is this solution Helpfull? Yes | No   

Sharad Kumar Pani  (8 years ago)

Answer is 863 ... quickest logic is checking the option

Is this solution Helpfull? Yes | No   

Jitesh Kothari  (8 years ago)

Check options. Sum of the squares should be equal to 109.
Only Options B and A satisfying. When we subtract 495, only 863 becomes 368

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.