**Aptitude Questions with Explained Answers for Competitive Exams**

**1.It was calculated that 75 men could complete a piece of work in 20 days. When work was**

**scheduled to commence, it was found necessary to send 25 men to another project. How**

**much longer will it take to complete the work?**

**Answer:**

**30 days.**

**Explanation:**

**Before:**

**One day work = 1 / 20**

**One man’s one day work = 1 / ( 20 * 75)**

**Now:**

**No. Of workers = 50**

**One day work = 50 * 1 / ( 20 * 75)**

**The total no. of days required to complete the work = (75 * 20) / 50 = 30**

**2. A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the**

**percentage of error in his result.**

**Answer:**

**0 %**

**Explanation:**

**Since 3x / 2 = x / (2 / 3)**

**3. A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight**

**of 950gm. for a kg. His gain is …%.**

**Answer:**

**5.3 %**

**Explanation:**

**He sells 950 grams of pulses and gains 50 grams.**

**If he sells 100 grams of pulses then he will gain (50 / 950) *100 = 5.26**

**4. A software engineer has the capability of thinking 100 lines of code in five minutes and****can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten****minutes. How many lines of codes will he complete typing after an hour?****Answer:****250 lines of codes****5. A man was engaged on a job for 30 days on the condition that he would get a wage of Rs.****10 for the day he works, but he have to pay a fine of Rs. 2 for each day of his absence. If he****gets Rs. 216 at the end, he was absent for work for … days.****Answer:****7 days****Explanation:****The equation portraying the given problem is:****10 * x – 2 * (30 – x) = 216 where x is the number of working days.****Solving this we get x = 23****Number of days he was absent was 7 (30-23) days.****6. A contractor agreeing to finish a work in 150 days, employed 75 men each working 8****hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of****men by ________ each working now for 10 hours daily, the work can be completed in time.****Answer:****150 men.****Explanation:****One day’s work = 2 / (7 * 90)****One hour’s work = 2 / (7 * 90 * 8)****One man’s work = 2 / (7 * 90 * 8 * 75)****The remaining work (5/7) has to be completed within 60 days, because the total****number of days allotted for the project is 150 days.****So we get the equation****(2 * 10 * x * 60) / (7 * 90 * 8 * 75) = 5/7 where x is the number of men****working after the 90th day.****We get x = 225****Since we have 75 men already, it is enough to add only 150 men.****7. what is a percent of b divided by b percent of a?****(a) a (b) b (c) 1 (d) 10 (d) 100****Answer:****(c) 1****Explanation:****a percent of b : (a/100) * b****b percent of a : (b/100) * a****a percent of b divided by b percent of a : ((a / 100 )*b) / (b/100) * a )) = 1****8. A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 %****gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain,****he would lose Rs. 10 in the bargain. The amount paid by him was Rs._______ for the horse****and Rs.________ for the cart.****Answer:****Cost price of horse = Rs. 400 & the cost price of cart = 200.**

**Explanation:-****Let x be the cost price of the horse and y be the cost price of the cart.****In the first sale there is no loss or profit. (i.e.) The loss obtained is equal to the gain.****Therefore (10/100) * x = (20/100) * y****X = 2 * y —————–(1)****In the second sale, he lost Rs. 10. (i.e.) The loss is greater than the profit by Rs. 10.****Therefore (5 / 100) * x = (5 / 100) * y + 10 ——-(2)****Substituting (1) in (2) we get****(10 / 100) * y = (5 / 100) * y + 10****(5 / 100) * y = 10****y = 200****From (1) 2 * 200 = x = 400****9. A tennis marker is trying to put together a team of four players for a tennis tournament out****of seven available. males – a, b and c; females – m, n, o and p. All players are of equal ability****and there must be at least two males in the team. For a team of four, all players must be able****to play with each other under the following restrictions:****b should not play with m,****c should not play with p, and****a should not play with o.****Which of the following statements must be false?****1. b and p cannot be selected together****2. c and o cannot be selected together****3. c and n cannot be selected together.****Answer:****3.****Explanation:****Since inclusion of any male player will reject a female from the team. Since there****should be four member in the team and only three males are available, the girl, n should****included in the team always irrespective of others selection.****10. Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last****year,each of them discovered that every tree in their own orchard bore exactly the same****number of apples. Further, if the third farmer gives one apple to the first, and the fifth gives****three to each of the second and the fourth, they would all have exactly the same number of****apples. What were the yields per tree in the orchards of the third and fourth farmers?****Answer:****5**

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