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Question 1 of 5
1. Question
The average price of 3 cars is 5 lakhs, where the average price of two costliest cars is double the price of the cheapest car. What is the price of the costliest car?
Correct
Solution: d) Can’t be determined
Explanation:
Let the prices of the 3 cars A, B and C be ‘a’, ‘b’ and ‘c’ respectively.
Let A be the cheapest.
Therefore, a+b+c = 3 × 5 lakhs = 15 lakhs …………(1)
Also,
(b+c)/2 = 2a
b+c = 4a …………..(2)
Substituting (2) in (1),
a + 4a = 15 lakhs
5a = 15 lakhs
a = 3 lakhs.
Since b + c = 12 lakhs, we can’t find which car is the costliest.
NOTE:
Since there are 3 variables and only 2 equations can be constructed, we can’t get the complete solution. There have to be 3 equations for 3 variables for complete solution.
Incorrect
Solution: d) Can’t be determined
Explanation:
Let the prices of the 3 cars A, B and C be ‘a’, ‘b’ and ‘c’ respectively.
Let A be the cheapest.
Therefore, a+b+c = 3 × 5 lakhs = 15 lakhs …………(1)
Also,
(b+c)/2 = 2a
b+c = 4a …………..(2)
Substituting (2) in (1),
a + 4a = 15 lakhs
5a = 15 lakhs
a = 3 lakhs.
Since b + c = 12 lakhs, we can’t find which car is the costliest.
NOTE:
Since there are 3 variables and only 2 equations can be constructed, we can’t get the complete solution. There have to be 3 equations for 3 variables for complete solution.
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Question 2 of 5
2. Question
In a parking lot, there are 2-wheelers, 3-wheelers and 4-wheelers parked. On counting, there found 300 wheels and 95 vehicles. If the number of 3-wheelers is 10 less than the number of 4-wheelers, what is the difference between number of 2-wheelers and 3-wheelers?
Correct
Solution: a) 5
Explanation:
Let the number 2, 3, 4-wheelers be ‘x’, ‘y’ and ‘z’ respectively.
Therefore, number of vehicles = x + y + z = 95. ……….. (1)
Also, number of wheels = 2x + 3y + 4z = 300. ……….. (2)
Since the number of 3-wheelers is 10 less than number of 4-wheelers,
z – y = 10 ……….. (3)
From (2) – 2 × (1)
2x + 3y + 4z – 2x – 2y – 2z = 300 – 2 × 95
y + 2z = 110 ………… (4)
Adding (3) and (4),
z – y + y + 2z = 10 + 110
3z = 120
z = 40.
Substituting for z in (3),
y = 30.
Incorrect
Solution: a) 5
Explanation:
Let the number 2, 3, 4-wheelers be ‘x’, ‘y’ and ‘z’ respectively.
Therefore, number of vehicles = x + y + z = 95. ……….. (1)
Also, number of wheels = 2x + 3y + 4z = 300. ……….. (2)
Since the number of 3-wheelers is 10 less than number of 4-wheelers,
z – y = 10 ……….. (3)
From (2) – 2 × (1)
2x + 3y + 4z – 2x – 2y – 2z = 300 – 2 × 95
y + 2z = 110 ………… (4)
Adding (3) and (4),
z – y + y + 2z = 10 + 110
3z = 120
z = 40.
Substituting for z in (3),
y = 30.
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Question 3 of 5
3. Question
The number of mangoes in three baskets are in the ratio of 3:4:5. In which ratio the number of mangoes in first two baskets must be increased so that the new ratio becomes 5:4:3?
Correct
Solution: b
Explanation:
The number of mangoes in the third basket are unchanged.
The number of mangoes is multiple of both 3 and 5. So, we have to take LCM of 3 and 5 i.e. 15.
If we assume the number of mangoes in the third basket as 15, the old ratio will be
9:12:15.
New ratio will be 25:20:15.
Thus, the mangoes to be increased in first and second basket respectively will be 16 and 8.
So, the required ratio is 16:8 i.e. 2:1.
Incorrect
Solution: b
Explanation:
The number of mangoes in the third basket are unchanged.
The number of mangoes is multiple of both 3 and 5. So, we have to take LCM of 3 and 5 i.e. 15.
If we assume the number of mangoes in the third basket as 15, the old ratio will be
9:12:15.
New ratio will be 25:20:15.
Thus, the mangoes to be increased in first and second basket respectively will be 16 and 8.
So, the required ratio is 16:8 i.e. 2:1.
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Question 4 of 5
4. Question
In a library, 20% of the books are in in French. 50% of the remaining books are in Mandarin. The remaining 900 books are in various other languages. What is the number of books which are in Mandarin?
Correct
Solution: C) 900
Explanation:
The number of books is 100%.
Therefore, the number of French books = 20% of total books
The remaining books = 80% of total books
The number of books in Mandarin language is 50% of 80% i.e. 40%.
The number of books in various other languages = 100% – 20% – 40% = 40%
So, percentage of books in Mandarin is equal to the percentage of books in other languages i.e. 900.
Incorrect
Solution: C) 900
Explanation:
The number of books is 100%.
Therefore, the number of French books = 20% of total books
The remaining books = 80% of total books
The number of books in Mandarin language is 50% of 80% i.e. 40%.
The number of books in various other languages = 100% – 20% – 40% = 40%
So, percentage of books in Mandarin is equal to the percentage of books in other languages i.e. 900.
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Question 5 of 5
5. Question
Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for Rs.24. What is the original price of an orange?
Correct
Solution: D) 2rs
Explanation:
Shortcut:
If the price of oranges fall by (1/x), then (1/(x-1)) more oranges can be purchased with the same amount.
The price of oranges has fallen by 25% or ¼.
Therefore, the number oranges that can be purchased more is (1/(4-1)) i.e. 1/3.
Also, 1/3 of the oranges is equal to 4 oranges.
Thus, the original number of oranges is 12.
The original price of an orange = Rs.24/12 = Rs.2
Incorrect
Solution: D) 2rs
Explanation:
Shortcut:
If the price of oranges fall by (1/x), then (1/(x-1)) more oranges can be purchased with the same amount.
The price of oranges has fallen by 25% or ¼.
Therefore, the number oranges that can be purchased more is (1/(4-1)) i.e. 1/3.
Also, 1/3 of the oranges is equal to 4 oranges.
Thus, the original number of oranges is 12.
The original price of an orange = Rs.24/12 = Rs.2
