General Aptitude

General Aptitude - 1

• City A population is 68000, decreasing at a rate of 80 per year City B having population 42000 increasing at a rate of 120 per Year. In how many years both the cities will have same population ?
  Let this will take x years , now after x years both cities will have same population.
  so 68000-80x=42000+120x
  so 200x=26000
  so x=130 years
• A person buy the 6, 1 Rs stamps and 7, 50 paisa stamps he has given 12 Rs how much money he will get back ?
  6X1+7X0.50=9.50
  so 12-9.50=2.50 Rs he will get back
• In a company 3/5 of people know shorthand 1/4th know typing and 1/5 know both. What fraction of people do not know both?
  let x be total employees now 3x/5 know typing and 1x/4 know short hand and 1x/5 know both so employees who know either typing or short hand will be:
  3x/5 +1x/4 -1x/5 =13x/20
  so those who don't know both are:
  x-13x/20 =7x/20
  so 7/20 employees don't know both.
• There are 5 red shoes, 4 green shoes. If one draws randomly a shoe . What is the probability of getting red shoe ?
  probability of picking a shoe is 9c1 ie 9
  and probability of picking a red shoe is 5c1 ie 5
  so probability of picking a shoe and that is red will be 5/9
• If the sum of five consecutive numbers is 35. Find how many prime numbers are there ?
  Nos are 5,6,7,8 and 9
  so prime nos are 5 and 7
• If the length of the rectangle is reduced by 20% and breath is increased by 20 % what is the net change ?
  let l be length and b is breadth now area is lb
  new length is 0.8l and breadth is 1.2b so new area is 0.96lb
  so there will be a reduction in area by lb-0.96lb=0.04lb i.e. 4%

General Aptitude - 2

• What is my father's son's son to my son?
  Either brother or cousin
• If a person bought a cycle before 2days of his birthday and he broke it after 3 days of his birthday . The day he broke is Mar2, 1956. Then find when is his birthday?
  Since it was a leap year so february was of 29 days. 3 days back from 2nd march is 28 february.
• In a class 80% have passed English,70% passed Hindi 10% didn't passed either. If 144 students passed both. What is the total strength of the class ?
  let x be total no of students passed
  0.7x+0.8x-144=x
  hence 0.5x=144
  hence x=288
  let y be total students
  so y=0.1y+288so 0.9y=288hence y=320
  [Not sure about the answer. So please verify at your end too.]
• If a die is thrown twice what is the probability that you get same number ?
  No matter how many times you throw the dice, the probability of getting the same number is 1/6 always.
• If the sum of two consecutive numbers is 55, then find out the larger number?
  The larger number is 28.
  Method
  Let x be the number.
  (x)+(x+1)=55
  2x=54
  x=27
  Therfore larger number is 28
• Two trains A&B start at opposite points 120km at 60kmph. A fly starting along with train A at 120kmph reaches B then returns back to touch and continue. By the time two trains meet how much distance the fly would have traveled?
  If you know the answer, then please post it in comments of this post.
• How many tangents can be drawn with in three circles if they do not lie with in each other ?
  If you know the answer, then please post it in comments of this post.

General Aptitude - 3

• If xy-x+2y = 6 equation is shifted to form equation xy=c what is c?
• When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1) ?
• What is the optimum number of operations for 2*(x**3)+3*(x**2)+5*x+5?
• If the area of the square is increased by 69 % how much the length of the side will increase?
• Which of the following is not correct
  a. (x+y)'=x'.y'
  b. (x'+y')'=x.y
  c. (x'.y')'=x+y
  d. (x'+y')'=x'.y'
• If two dies are thrown simultaneously what is the prob. of one of the dice getting face 6 ?
  a. 11/36
  b. 1/3
  c. 12/35
  d. 1/36
• A chocolate block is of 4 X 4 size.How many cuts are needed to make 1 X 1 size blocks. No simultaneous vertical and horizontal cuts?
• There is six letter word VGANDA . How many ways you can arrange the letters in the word in such a way that both the A's are together ?
• If two cards are taken one after another without replacing from a pack of 52 cards. Then what is the probability of the cards would be queen ?
• The ratio of Boys to Girls is 6:4. 60% of the boys and 40% of girls take lunch in the canteen. What % of class takes lunch in canteen ?
• A sequence is given. You should find out error and write correct answer.
  2,3 6,7 14,15 29,46 ?
• In a journey of 15 miles two third distance was traveled with 40 mph and remaining with 60 mph. How much time the journey takes?
• If 12 revolutions takes 1/8 th second time. So in 20 seconds how many revolutions it can perform?
• A started at 9.00 am with 6 mph and B started at 9.30 am with 8mph in the same direction. At what time they will meet?