1.Baskar invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Baskar got back 4 times his original investment. What is the value of n?
[a] 50 years
[b] 25 years
[c] 12 years 6 months
[d] 37years 6months
[e]24 years
2.A merchant who marked his goods up by 50% subsequently offered a discount of 20%. What is the percentage profit that the merchant make after offering the discount?
[a]30%
[b]125%
[c]25%
[d 20%
[e] 57%
3.A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
[a] 240 meters
[b]360 meters
[c] 420 meters
[d] 600 meters
[e] Cannot be determined
4.In how many ways can the letters of the word "PROBLEM" be rearranged to make 7 letter words such that none of the letters repeat?
[a] 7!
[b] 7C7
[c] 77
[d] 49
[e] None of these
5 A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many chickens were there in the farm?
[a] 70
[b] 120
[c] 60
[d] 130
[e] 80
Answer
1[d]
Let us say Baskar invested $100.
Then, at the end of 'n' years he would have got back $400.
Therefore, the Simple Interest earned = 400 - 100 = $300.
We know that Simple Interest = (Principal * number of years * rate of interest) / 100
Substituting the values in the above equation we get 300 = (100 * n * 8) / 100
Or 8n = 300
Or n = 37.5 years.
2.[d]
To make calculations easy, let us assume that the cost price = $100
The merchant marks his goods up by 50%.
Therefore, his quoted price = cost price + mark up
= $100 + 50% of $100 = 100 + 50 = $150
Now, the merchant offers a discount of 20% on his quoted price
Therefore, amount of discount = 20% of $150 = 20% of 150 = $30
Therefore, he finally sells it for $150 - $30 = $ 120.
We assumed his cost to be $ 100 and he sold it finally for $ 120.
Therefore, his net profit = $ 20 on his cost of $ 100
Hence, his % profit = 20/100 * 100 = 20%.
3[a].
The extra time that the train takes when crossing the platform is on account of the extra distance that it has to cover = length of the platform.
Therefore, length of the platform = speed of train * extra time taken to cross the platform
Length of platform = 72 kmph * 12 seconds
Converting 72 kmph into m/sec, we get 72 kmph = 5/18 = 20 m/sec
Therefore, length of the platform = 20 * 12 = 240 meters.
4.[a]
There are seven positions to be filled.
The first position can be filled using any of the 7 letters contained in PROBLEM.
The second position can be filled by the remaining 6 letters as the letters should not repeat.
The third position can be filled by the remaining 5 letters only and so on.
Therefore, the total number of ways of rearranging the 7 letter word = 7*6*5*4*3*2*1 = 7! Ways.
5[d]
Let there by 'x' chickens and 'y' pigs.
Therefore, x + y = 200 --- (1)
Each chicken has 2 legs and each pig has 4 legs
Therefore, 2x + 4y = 540 --- (2)
Solving equations (1) and (2), we get x = 130 and y = 70.
There were 130 chickens and 70 pigs in the farm.
[a] 50 years
[b] 25 years
[c] 12 years 6 months
[d] 37years 6months
[e]24 years
2.A merchant who marked his goods up by 50% subsequently offered a discount of 20%. What is the percentage profit that the merchant make after offering the discount?
[a]30%
[b]125%
[c]25%
[d 20%
[e] 57%
3.A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
[a] 240 meters
[b]360 meters
[c] 420 meters
[d] 600 meters
[e] Cannot be determined
4.In how many ways can the letters of the word "PROBLEM" be rearranged to make 7 letter words such that none of the letters repeat?
[a] 7!
[b] 7C7
[c] 77
[d] 49
[e] None of these
5 A poultry farm has only chickens and pigs. When the manager of the poultry counted the heads of the stock in the farm, the number totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many chickens were there in the farm?
[a] 70
[b] 120
[c] 60
[d] 130
[e] 80
Answer
1[d]
Let us say Baskar invested $100.
Then, at the end of 'n' years he would have got back $400.
Therefore, the Simple Interest earned = 400 - 100 = $300.
We know that Simple Interest = (Principal * number of years * rate of interest) / 100
Substituting the values in the above equation we get 300 = (100 * n * 8) / 100
Or 8n = 300
Or n = 37.5 years.
2.[d]
To make calculations easy, let us assume that the cost price = $100
The merchant marks his goods up by 50%.
Therefore, his quoted price = cost price + mark up
= $100 + 50% of $100 = 100 + 50 = $150
Now, the merchant offers a discount of 20% on his quoted price
Therefore, amount of discount = 20% of $150 = 20% of 150 = $30
Therefore, he finally sells it for $150 - $30 = $ 120.
We assumed his cost to be $ 100 and he sold it finally for $ 120.
Therefore, his net profit = $ 20 on his cost of $ 100
Hence, his % profit = 20/100 * 100 = 20%.
3[a].
The extra time that the train takes when crossing the platform is on account of the extra distance that it has to cover = length of the platform.
Therefore, length of the platform = speed of train * extra time taken to cross the platform
Length of platform = 72 kmph * 12 seconds
Converting 72 kmph into m/sec, we get 72 kmph = 5/18 = 20 m/sec
Therefore, length of the platform = 20 * 12 = 240 meters.
4.[a]
There are seven positions to be filled.
The first position can be filled using any of the 7 letters contained in PROBLEM.
The second position can be filled by the remaining 6 letters as the letters should not repeat.
The third position can be filled by the remaining 5 letters only and so on.
Therefore, the total number of ways of rearranging the 7 letter word = 7*6*5*4*3*2*1 = 7! Ways.
5[d]
Let there by 'x' chickens and 'y' pigs.
Therefore, x + y = 200 --- (1)
Each chicken has 2 legs and each pig has 4 legs
Therefore, 2x + 4y = 540 --- (2)
Solving equations (1) and (2), we get x = 130 and y = 70.
There were 130 chickens and 70 pigs in the farm.
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