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A bus takes twice the time to travel 10 km as the time taken by a car to travel 7 km. What is the ratio of speeds of the car and bus?
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Let the time taken by the car to travel 7 km be ‘n’ hours The time taken by the bus to travel 10 km is 2n hours
In a mixture of 60 L volume, the ratio of milk and water is 2:3. How much water needs to be added so that the ratio becomes 1:2?
Volume of milk in a mixture = 2/5 * 60 = 24L Volume of water in a mixture = 3/5 * 60 = 36L 24/(36+x) = 1/2 36+x = 2*24 x = 12L
A shopkeeper sells 12 pens at a price for which he bought 14 pens. If he has to pay a tax of 10% on the profit obtained, what is his net profit on the overall transaction?
Selling price of 12 pens = Cost price of 14 pens 12*SP = 14*CP => SP = (7/6)*CP Profit = (SP - CP)/CP * 100% = 16.67% So, if the cost price is 100, the profit is 16.67 Tax = 10% = (10/100)*16.67 = 1.67 So, net profit = 16.67 - 1.67 = 15 So, the shopkeeper is making a net profit of 15 when the cost price is 100 => Net profit percentage = 15%
Ajay can do a particular job in 10 days. Vijay can do the same job in 12 days. Ajay and Vijay start together, but Vijay leaves after 4 days. In how many days(from the beginning) will the work be completed?
Let the total amount of work to be done be 60 units. (LCM of 10 and 12) Hence Ajay does 6 units of work in 1 day and Vijay does 5 units of work in one day. Hence when they are working together, they can finish 11 units of work in 1 day. In 4 days, they will complete 44 units of work. The remaining 16 units of work can be completed by Ajay in 16/6 = 2⅔ days. Hence total time taken = 6 ⅔
A father is thrice as old as his son now. Six years before he was five times the age of his son. What was the age of father at the time of birth of his son ?
Let F be the age of father and S be the age of he son. Given, F = 3S -(1) and (F - 6) = 5(S - 6) F - 6 = 5S - 30 Substituting (1) in the equation 3S - 6 = 5S - 30 => S = 12 thus, F = 3S = 36 the age of the father at the time of birth of his son = 36 - 12 = 24 years
In the next 5 questions, every question has a number series. You have to select the option that best replaces the question mark.
13,74,??,604,1265,2358,4039
The series follows the pattern given below
Hence, the missing number is 243
23,46,??,86,83,166
The given series follows the below pattern. Multiplication by two and subtraction by three. For example,
46 = 23*2 43 = 46-3 86 = 43*2 83 = 86-3 166 = 83*2
Hence, the required number is 43
99,98,96,95,91,90,82,??
The difference between consecutive terms of the above series is powers of 1 and 2 in an alternating manner. For example,
99 - 98 = 1 98 - 96 = 2 96 - 95 = 1 95 - 91 = 4 91 - 90 = 1 90 - 82 = 8
Hence, the number that follows is 82 - 1 = 81
4913,6859,12167,24389,??
Each of the numbers given in the series are perfect cubes of prime numbers. For example,
4913 = 173 6859 = 193 12167 = 233 24389 = 293
Hence, the number to follow the four in the series is 313 = 29791
15,17,??,29,45
The difference between consecutive numbers of the series is getting multiplied by 2. For example,
17 - 15 = 2 21 - 17 = 4 29 - 21 = 8 45 - 29 = 16
Hence, the correct answer to replace the question marks is 21.
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