Q. The integers from 1 to 1851 are entered sequentially in 12 columns (numbered 1 to 12); i.e. Row 1 contains the numbers 1 to 12, Row 2 contains the next 12 numbers and so on. If the number 1369 occurs in row p and column q, then the value of p + q is

• 1369=114*12+1
  1368=114*12 mean 1368 occurs in 114 row and 12 column.
  so 1369 occur in 115 row and 1st column.as elements are entered sequentially.
  so p=115 q=1.p+q=116......
• 11 years agoHelpfull: Yes(32) No(1)
• Since 1369/12=114.083333, so we need to search of any number which is less than 1369 but is completely divisible by 12 as there are 12 columns in a row.
  On inspection we find that the nearest number less than 1369 which is perfectly divisible by 12 is 1368 as 1368/12=114. So 1369 will be placed in the next row that is row number 115 and since 1369 is just one more than 1368 so it will occupy the first column of 115th row.
• 11 years agoHelpfull: Yes(7) No(1)
• 1369 number lies in 115th row and 1st column
  there fore,P+Q=115+1=116
• 11 years agoHelpfull: Yes(3) No(0)
• every line has 12 numbers,so it1369 is in the line 115.
  and it will be the first number.
  so 114+1=115
• 11 years agoHelpfull: Yes(2) No(3)
• 1369/12...quotient=114,remainder=1.
  row(p)=114+1=115
  column(q)=1
  p+q=115+1=116
• 11 years agoHelpfull: Yes(1) No(0)
• 1369/12=114+1=115 row
  1st column so 115+1=116 ans
• 11 years agoHelpfull: Yes(1) No(0)
• 116.because if we divide (1369-1)/12 we get 114 so we can say that it is in
  115th row and 1368 is in last column of the 114th row so in 115th row we get 1369 as is column in that row so here p=115 and q=1.so p+q=116.
• 11 years agoHelpfull: Yes(0) No(0)
• 1369 would be in 115th raw and 1st column So, p+q= 116
• 11 years agoHelpfull: Yes(0) No(0)
• 1369/12=114 and 1 Reminder means the row is next to 114th rows
  p=115 and q=1
  p+q=116
• 11 years agoHelpfull: Yes(0) No(0)
• 1369=114*12+1
  so 1369 occurs in 115th row and 1st column.
  so p=115 q=1.p+q=116 is the answer
• 11 years agoHelpfull: Yes(0) No(0)
• here 1369/12=114 and containing remainder=1,,this remainder proves that 1369 lies in 115th row and since last column of 114th row contains 1368.
  so 1369 is in 1st column.
  here p=115 and q=1 and p+q=115+1=116
• 11 years agoHelpfull: Yes(0) No(0)
• 1369/12 gives 114 as the quotient and 1 as the remainder. therefore 1368 lies in the 114th row, so 1369 will lie in the 115th row and 1st column. so the ans is 115+1=116.
• 11 years agoHelpfull: Yes(0) No(0)
• from the sequence we get q+12p=1369.Becoz (no.of column)+(12*no.of previous row of the integer)=the integer.For example-14 lies in the 2nd column and 2nd row.So(2+12*1)=14.So 1369 lies in 115th row and 1st column(1+12*114=1369).So p+q=115+1=116.
• 11 years agoHelpfull: Yes(0) No(0)