Elitmus
Exam
Numerical Ability
Number System
If abc is 3-digit no. Have values a,b,c..
Calculate all the values havng atleast two of three digits are same??
1).240
2).248
3).252
4).266
Read Solution (Total 16)
-
- 3 digit repeat-9*10*10=900
none digit repeat-9*9*8=648
900-648=252(atleast 2 digit repeat) - 10 years agoHelpfull: Yes(53) No(1)
- No.of 3digits numbers with repetition = 9*10*10=900
No.of 3digits numbers without repetition = 9*9*8=648
So ans is 900-648=252 - 10 years agoHelpfull: Yes(15) No(0)
- yes there is atleast two digits r same .. and ans is 252
- 10 years agoHelpfull: Yes(6) No(0)
- answer: 252
from 100-199 there r 28 number having atleast two digit same.
so; 28*9= 252 - 10 years agoHelpfull: Yes(4) No(0)
- for 0
100,200,300,400,500,600,700,800,900 = total 9
for 1
101,110,111,112,113,114,115,116,117,118,119,121,131,141,151,161,171,181,191,211,311,411,511,611,711,811,911 = total 26
so we need 3 digit no. means we can take up to 9. for each no the possibilty is 26 like that upto 9
26*9=234
and add the possibility of 0 also that means 234+9=243.
Ans is 243 - 10 years agoHelpfull: Yes(4) No(2)
- 252
- 10 years agoHelpfull: Yes(3) No(0)
- 3c2*9*8=216(2 are same)
other 36(110,101,011,111 all has 9 combinations so 4*9=36)
216+36=252
- 10 years agoHelpfull: Yes(3) No(1)
- Are you sure there is "atleast two digits"?? Because i attempted this question, and the question was "having two of three digits are same"....so in this case ans is 243
- 10 years agoHelpfull: Yes(2) No(3)
- 252 n 266 both have two digits same........
- 10 years agoHelpfull: Yes(2) No(0)
- ans will be 243
Expl
first we concider only 1-9
3 digit no where two digit same and one different =3c2*9*8=216 ;
where 3c2=number of arrangement where two digit same and one different
second 0 in the middle position =9
3rd 0 in the right most posi =9
total=234 ,this is total of two digit same
now all the three digit same
that will be 111,222,333,........=9
so at least two digit same =234+9=243 ans
- 10 years agoHelpfull: Yes(2) No(7)
- question is saying at least 2 digit same not only 2 digit same ..:)
first calculate 2 digit same then calculate 3 digit same.
then add both of these.
- 10 years agoHelpfull: Yes(2) No(0)
- count for 100 to 199
then multiply with 9;
here from 100 to 199 there will be :
101,111,112,113,114,115,116,117,118,119,
121,131,141,151,161,171,181,191,
110,
122,133,144,155,166,177,188,199
so total =27*9=243
and add number of number :
100,200,300,400,500,600,700,800,900
so the final answer will be: 243+9=252 - 9 years agoHelpfull: Yes(2) No(0)
- (3) 252 is the correct answer.
- 9 years agoHelpfull: Yes(1) No(0)
- how ? 266 also have 2 digits same
- 10 years agoHelpfull: Yes(0) No(3)
- 252
243+9 where from 110 to 990 243 erms + 9 terms for 100 ,to 900 all terms having two zero - 9 years agoHelpfull: Yes(0) No(0)
- ans will be 252
- 9 years agoHelpfull: Yes(0) No(0)
Elitmus Other Question
i m getting 7 correct out of 9 in quants
11 correct out of 13 in english and 6 orrect out of 10 in problem solving.
what will b my percentile?
12 people {a1, a2, …, a12} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a11, a12}, {a12, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
(a) 12
(b) 4
(c) 18
(d) 11