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Numerical Ability
Data Sufficiency
Q. What could be the maximum value of Q in the following equation?
5P9 + 3R7 + 2Q8 = 1114
Read Solution (Total 15)
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- sol:
(1) (2)
5 P 9
3 R 7
2 Q 8 +
———-
11 1 4
———-
=>2+P+Q+R=11
so at max Q, P=R=0,
therefore Q=11-2=9. - 10 years agoHelpfull: Yes(55) No(7)
- q to be maximum p and r should be minimum.i.e 0 ,0.hence 509+307+2Q8=1114 ,Q=9
- 10 years agoHelpfull: Yes(17) No(1)
- here p + Q + R =9.(.but P !=Q!=R)(!= means not equal.)
=> max(Q/p/r) =8..because (8+1+0=9) - 10 years agoHelpfull: Yes(4) No(0)
- how do you get 2+p+q+r=11,how means
5 p 9
3 R 7
2 Q 8
(1)(2)
--------
11 1 4
9+7+8=24 so below the for P+Q+R+2=11
and 5+3+2=10 so we have to add 1 for 10 then we will get sum as 11 - 10 years agoHelpfull: Yes(3) No(2)
- 2+P+Q+R=11
P+Q+R=9
P=0
R=0
Q=9 - 10 years agoHelpfull: Yes(2) No(1)
- @ ANBARASAN A
in ten's digit we have p,q and r.
after adding the one's digit of all the three numbers we get 24.
that means carry is 2.
so p+q+r+2=11 or p+q+r=9
so q will be max when both p and r are min.
now if we take p and r are equal then put p=r=0 then q will be 9
and if we take p!=r then take one of them as 0 and another as 1 then q will be 8 - 10 years agoHelpfull: Yes(1) No(1)
- p+r+q=9
...max value of q might be 9
- 10 years agoHelpfull: Yes(0) No(1)
- Can anyone explain the solution precisely??
- 10 years agoHelpfull: Yes(0) No(0)
- let p=q=0;
maxvalue=p+q+r=9
so. max value of q= 9 - 10 years agoHelpfull: Yes(0) No(0)
- 5 P 9
3 R 7
2 Q 8 +
———-
11 1 4
———-
=>2+P+Q+R=21
so at max Q, such that P+R=10,
therefore Q=9
- 10 years agoHelpfull: Yes(0) No(2)
- how do you get 2+p+q+r=11
- 10 years agoHelpfull: Yes(0) No(0)
- for me its 9..
range of Q can be bw (0 to 9)
so for max value if Q is 9...then(5P9+3R7)=1114-298=816(where in addition 9+7=16,1 carry..so P+R+1=1(considering P=0,R=0),and 5+3=8).... - 10 years agoHelpfull: Yes(0) No(0)
- 2+p+r+q=11.....so q can be max 9
- 10 years agoHelpfull: Yes(0) No(0)
- ok Q=9.......
then 11-2 how it will came here
Q=11-2=9 - 10 years agoHelpfull: Yes(0) No(0)
- we can assume p=0 and R=1........
then 509+317+2Q8=1114.
2Q8=288.
then Q=8 is answer
- 9 years agoHelpfull: Yes(0) No(0)
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