Latest Bank Exam Aptitude Question SOLUTION: Q. The average of 3 numbers is 135.The largest number is 180 and the difference between the others is 25.the smallest number is: Option A)130 B)125 C)120 D)100

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Q. The average of 3 numbers is 135.The largest number is 180 and the difference between the others is 25.the smallest number is:

Option
A)130
B)125
C)120
D)100

Asked In Bank Exam pratibha Tiwari (10 years ago)

Solved Akanksha Mishra Read Solution (10)

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Read Solution (10) :

Akanksha Mishra  (10 years ago) Best Solution

Answer will be 100 ;
The largest number is 180(first no.)

consider the smallest number is x(second no.)

According to the question
difference between the others is 25
so third no. will be 25+x

The average of 3 numbrs is 135
(180 + x + 25+ x)/3 = 135
205 + 2x = 405
2x = 405 - 205
2x = 200
x = 100
so the smallest number is 100

Is this solution Helpfull? Yes (5) | No   

mahima srivastava  (10 years ago)

(180+y+z)/3=135
y+z=225
y-z=25
hence y= 125
z=100
smallest number is 100

Is this solution Helpfull? Yes (3) | No   

Priyanka  (10 years ago)

Sum of three numbers/3=135
Sum of three numbers=135*3=405
Given:LargestNumber=180,Diff between two numbers is 25. let the numbers be x and 25+x. so,
180+X+25+x=405,205+2X=405,2X=405-205,2X=200,X=100.
Three numbers are 180,100 and 125.the smallest number is 100.

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Amit Kumar Panda  (10 years ago)

100
avg of 3 number is =135
=>summation =3*135=405
summation of other 2 number=405-180=225
difference between dem is 25
=>x+(x+25)=225
=>x=100

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RAM NARAYAN PATRO  (10 years ago)

largest number=180;
difference between other two number is 25;
so the numbers are 180,x,x+25;
smallest number is = x
given that avg of 3 number is 135;so sum=(135*3)=405
so solve 180+x+x+25=405
=>x=100;which is the smallest number

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G. SATYAVENI  (10 years ago)

smallest number is 100.let the 3 no.'s be l,m,s
l=180,m-s=25=>m=s+25,l+m+s/3=135=>180+25+s+s/3=135=>2s=405-205=>s=100

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PREM KUMAR PUSHADAPU  (7 years ago)

x+y+180=135*3
x+y=225
x-y=25
x=100,y=125 ans:D

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Nitish kesarwani  (7 years ago)

since there avg=135,its tot=405, then sub 25 as in question given and sub 180 and we get 300 then divide by2 300/2=150 then sub 25 again=125 get

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Mathi Bhargava Ram  (7 years ago)

Simple!!!
consider numbers as x,y,z
(x+y+z)/3=135 ------ (1)
lets consider x as largest number so x=180 and also given that difference between other two nums(y and z is 25)
So it can be z-y=25 or y-z=25
lets take z-y=25, then z=y+25 (so finding y gives us the answer)
by substituting all of these in (1) we get
(180+y+y+25)/3=135
by solving we get y=100 (which is smallest)

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Maddirala Mounika  (6 years ago)

(x+y+z)/3 =135
let x = 180
y -z =25
180+y+z =405
y+z =225
y-z =25
y = 125,z =100
smallest is z

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