The majority against a certain motion is equal to 8% of the total number of voting. If 14 of those who voted against it had voted for it, the motion would have been carried by 4 votes. Find the number voting ‘for and against.

1. for:138,against:162
2. for:160,against:185
3. for:130,against:170
4. for:162,against:138

• as per question
  for 138+14 = 152
  against 162-14 = 148
  there difference is of 4
  remaining options does not satisfy this condition.
• 10 years agoHelpfull: Yes(31) No(1)
• Answer: 1. for:138,against:162
  
  Hint: Try to solve using the options. Don't go for a straight cut approach.
• 10 years agoHelpfull: Yes(4) No(0)
• as per question
  for 138+14 = 152
  against 162-14 = 148
  there difference is of 4
  remaining options does not satisfy this condition.
  
  
• 10 years agoHelpfull: Yes(2) No(0)
• If p is a prime number and a is a natural number, then
  
  a^p=a(mod p)…………i
  
  Rem(a^p/p)=a
  
  This theorem can also be stated as: If p is a prime number and a is co prime to p, then
  
  a^ p -1 ≡ 1 (mod p)………….ii
  
  Rem(a^p-1/p)=1
  
  so from (ii)
  
  2^88=1(mod 89)
  
  from (i)
  
  2^1=2(mod)89
  
  so Rem(2^89/89)= Rem(2^88/89)*Rem(2^1/89)=1*2=2
• 6 years agoHelpfull: Yes(0) No(1)