Number obtained by interchanging the digits of a two digit number is more than the original number by 27 and the sum of the digits is 13. What is the original number?
Inlet A is four times faster than inlet B to fill a tank. If A alone can fill it in 15 min, how long will it take if both the pipes are opened together?
The average marks obtained by 120 students in an examination is 30. If the average marks of passed students is 40 and that of the failed students is 10, what is the 25% of the number of students who passed the examination?
Present age of Meena is 8 times of her daughter's age. 8 yr hence, the ratio of the ages of Meena and her daughter will be 10: 3. Find the present age of Meena.
A trader has 50 kg of pulses, a part of which he sells at 8% profit and rest at 18% profit. He gains 14% on the whole. What is the quantity sold at 18% profit?
There is sufficient food for 800 men for 62 days. After 56 days, 560 men leave the place. For how many days will the rest of the food last for the rest of the men?
A student walks from his house at \[2\frac{1}{2}\] km/h and reaches his school late by 6 min. Next day, he increases his speed by 1 km/h and reaches 6 min before school time. How far is the school from his house?
A motorboat in still water travels at a speed of 36 kmph. It goes 56 km upstream in 1 hour 45 minutes. The time taken by it to cover the same distance downstream will be
When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg per month were consumed before, find the new monthly consumption.
If 64 buckets of water are removed from a cubical shaped water tank completely filled with water, \[\frac{1}{3}\]of the tank remains filled with water. The length of each side of the tank is 1.2 m. Assuming that all buckets are of the same measures then the volume (in liters) of water contained by each bucket is
A tank can be filled by two pipes in 20 minutes and 30 minutes respectively. When the tank was empty, the two pipes were open. After some time, the first pipe was stopped and the tank was filled in 18 minutes. After how much time of the starting was the first pipe stopped?
4 L was drawn from a container full of milk and is then filled with water. This operation is performed three more times. The ratio of the quantity of milk left in the container to that of the water is 16: 65. How much milk did the container hold initially?
If the numerator of a certain fraction is increased by 100% and the denominator is increased by 200%, the new fraction thus formed is\[\frac{4}{21}\]. What is the original fraction?
Virat and Vijay are brothers. Sachin is father of Virat. Kiran is Sachin's sister. Tanu is Sachin's niece. Manu is maternal granddaughter of Kiran. How is Vijay related to Manu?
A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. When it is cut into one inch cubes, how many cubes will have no face painted?
If \[A\div B\]means 'A' is the father of 'B',\[A\times B\] means 'A' is the mother of 'B',\[A+B\] means 'A' is the sister of 'B' and \[A-B\] means 'A' is grandfather of 'B', then which of the following would mean 'M' is the grandson of 'N' ?
Four of the following five pairs of alphabets and numerals have same relationship between their elements as in the case of the pair 'PROBLEM: 2948375' and hence form a group. Which one does not belong to the group?
Mohan started walking from point 'A' and proceeded 7 km straight towards East, then he turned left and proceeded straight for a distance of 10 km. From there, he turned left and proceeded straight for a distance of 6 km, and then turned left again and proceeded straight for another 10 km. In which direction is Mohan from his starting point?
If 'white' is called 'blue', 'blue' is called 'red', 'red' is called 'yellow', 'yellow' is called 'green', 'green' is called 'black', 'black' is called 'violet' and 'violet' is called 'orange', what would be the colour of human blood?
In a certain language, (a) 'FOR' stands for 'old is gold'; (b) 'ROT' stand for 'gold is pure'; (c) 'ROM' stands for 'gold is costly'. How will 'pure old gold is costly' written?
A train travelling at 48 km/h completely crosses another train, having half its length and travelling in opposite direction at 42 km/h, in 12 s. It also passes a railway platform in 45 s. The length of the platform is
Out of the three given numbers, the first number is twice the second and thrice the third. If the average of these three numbers is 154, what is the difference between the first and the third number?
A is thrice as good a workman as B and therefore is able to finish a job in 30 days less than B. How many days will they take to finish the job working together?
Find the value of given expression \[1+\frac{1}{1\times 2}+\frac{1}{1\times 2\times 4}+\frac{1}{1\times 2\times 4\times 8}+\frac{1}{1\times 2\times 4\times 8\times 16}\]
ABCD is a parallelogram. The diagonals AC and BD intersect at a point O. If E, F, G and H are the mid-points of AO, DO, CO and BO respectively, then the ratio of (EF + FG +GH + HE) to (AD + DC + CB + BA) is :
A sum of Rs. 3310 is to be paid back in 3 equal annual instalments. How much is each instalment if the interest is compounded annually at 10% per annum?