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Numerical Ability
Arithmetic
Akhilesh, Bernard, Catherine and Dinesh go for a picnic. In a
weighing machine they try to find
their weights. When Akhilesh stands on the machine, without his knowledge Bernard also
climbs the machine and the weight shown was 132kg. When Bernard stands, without his
knowledge Catherine also stands on the machine and
the machine shows 130 kg. Similarly the
weight of Catherine and Dinesh is found as 102 kg and that of Bernard and Dinesh is 116 kg.
What is the weight of Dinesh?
a)44 kg
b)58 kg
c)78 kg
d)Cannot be determined from the given information
Read Solution (Total 9)
-
- A+B=132
B+C=130---eq1
C+D=102---eq2
B+D=116---eq3
by solving eq1,2 &3
D=44 kg - 10 years agoHelpfull: Yes(13) No(0)
- A+B=132...............eq1
B+C=130..........eq2
C+D=102.........eq3
B+D=116............eq4
then add eq3+eq4
B+C+2D=218
THEN PUT THE VALUE OE B+C GET D=44
- 10 years agoHelpfull: Yes(5) No(0)
- A+B=132
B+C=130
C+D=102
B+D=116
Subtract (3) from (4) we get B-D=28. Subtract this from (4) we get D=44. - 10 years agoHelpfull: Yes(2) No(0)
- A+B=132;----(1)
B+C=130;-----(2)
C+D=102;-----(3)
B+D=116;------(4)
FROM 3-- C=102-D AND FROM 4 -- B=116-D
SUB IN EQ 2
B+C=130 THAT IS
116-D+102-D=130;
218-2D=130;
2D=218-130;
2D=88;
D=44;
SO DINESH AGE IS 44 - 10 years agoHelpfull: Yes(1) No(1)
- x+y=132....(1)
y+z=130....(2)
z+k=102....(3)
y+k=116....(4)
x+y=132
k+y=116
- - -
-----------
x-k=16...(5)
x+y=132
z+y=130
- - -
----------
x-z=2....(6)
x-k=16
x-z=2
- - -
----------
z-k=14....(7)
z-k=102
z-k=14
- + -
----------
z=44....(ans)
- 10 years agoHelpfull: Yes(1) No(1)
- A+B=132
B+C=130
C+D=102
B+D=116
now...
B+C+C+D+B+D=130+102+116
2(B+C+D)=348
=> B+C+D=174
And we know that B+C=130
therefore,
D=174-130
D=44 option a) - 10 years agoHelpfull: Yes(1) No(0)
- a+b=132, b+c=130, c+d=102, b+d=116
hence d=44 - 10 years agoHelpfull: Yes(0) No(0)
- a+b=132->1
b+c=130->2
c+d=102->3
b+d=116->4
solving 2,4 we get c-d value
solve it with equati0n 3
we get d as 44 - 10 years agoHelpfull: Yes(0) No(0)
- Akhilesh+Bernard=132 ->1
Bernard+Catherine=130 ->2
Catherine+Dinesh=102 ->3
Bernard+Dinesh=116 ->4
by substitute method and solving equations 1,2,3 & 4
we get dinesh weight is 44kg
ans:a - 10 years agoHelpfull: Yes(0) No(0)
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