Mathematical Problems Part 1

In a family, a couple has a son, and a daughter, The age of the son is half of his mother. The wife is 9 year younger than her husband and the brother is 7 year older than his sister. If the age of father is 3 times of his daughter, what is the age of the mother?

At a farm, there are hens, cows, bullocks and keepers to lookafter them. There are 69 heads less than legs. The number of cows is double than that of the bullocks but the number of cows and hens is the same. There is one keeper per 10 birds and cattle. The total numbers of hens plus cows and bullocks and their keepers does not exceed 50. How many cows are there?

In a joint family there are father, mother, e married sons and one unmarried daughter. Of the sons 2 have 2 daughters each and one has a son. How many female members are there in the family?

What will be the different between the sun of the odd digit and sum of the even digit in the number 857423?

There are 23 steps to reach a temple. On descending from the temple Rama takes two steps in the same time, ascends one step. If they start to word simultaneously, at which step will they meet each other?

Two pipes ‘A’ and ‘B’ can fill the tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe ‘A’ turned off, what is the total time required to fill the tank.

10 men can complete a work in 280 days. They started the work and after every 10 days. 10 additional men were employed. In how many days the work was completed?

A factory has three belt conveyors fitted in its loading section. Conveyors ‘A’ and ‘B’ operating simultaneously lift all the goods in the same time during which the goods can be lifted by the conveyor ‘C’ operating alone. Conveyor ‘B’ lifts all the goods five hours faster than conveyor ‘C’. The durations of time required to left all the goods, individually by the conveyors ‘A’, ‘B’ and ‘C’ are:

The Income-tax department gives exemption from income-tax upto a certain income and thereafter. The tax is calculated at a particular rate. An individual whose income tax whereas another individuals with income Rs. 4800, pay Rs. 90 as income –tax. The exemption limit is:

Two person A and B travel a distance of 25km from M to N with the speed of 2 km/hour and 3km/four respectively. After reaching N, B returns immediately and meets A at the point O. what is distance of O from M?

A, B, C and D play a game of cards. A says to B, “If I give you 8 cards you will have as many as C has and I shall have 3 less than what C has. Also, if I take 6 cards from C, I shall have twice as many as D has.“ If B and D together have 50 cards, how many cards A his got?

If n and p are two odd numbers, which of the following will be an even number?

A strait line is 36 cm long. The points are to be marked on the line from both ends so that the first point be at a distance of 1 cm. from one end. The second point be at a distance of 2 cm from the first point and the third point be at a distance 3 cm from the second point and so on. If the points on the ends are not counted and common points are counted as one. What is the number of points?

The are three pillars X, Y and Z of different heights. Three spiders A, B and C start C start to climb on these pillars simultaneously. In one chance A climb on X by 5 cm but slips down 1cm. B climb on Y 6 cm but slips down 3 cm. C climb 7 cm but slips down 2 cm. If they each required 50 chances to reach the top of the pillar. What is the height of the shortest pillar?

In a group of 36 persons, a total of 16 take tea while 9 take tea but not coffee. How many persons in this group take coffee but not tea?

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