The perimeter of a rectangle is 26 cm. The rectangle is converted to a square by tripling the width and taking a quarter of the length. what is the perimeter of the resulting square?
In an examination , 34% of the studens failed in mathematics and 42% failed in English. If 20% of the students failed in both the subjects , then find the percentage of students who passed in both the subjects .
125 gallons of a mixture contains 20% water. what amount of additional water should be added such that water content is raised to 25%?
A box is made in the form of a cube. If a second cubical ox has inside dimensions three times those of the first box, how many times as much does the second box contain?
A Can do a job in 24 days, B in 9 days and C in 12 days. B and C together start the work but leave after 3 days. How much time was taken by A to complete the remaining work?
In a group of 15, 7 can speak Spanish , 8 can speak French and 3 can speak neither . What fracton of the group can speak both French and spanish?
A,B and C enter into partnership by making investments in the ratio 3: 5: 7. After a year, C invests another Tk. 337600 while a withdraws Tk. 45600 . The ratio of investments then changes to 24:59:67. How much doses A invest initially?
Karim has 40% more stamps than Rahim, if he gives 45 of his stamps to Rahim, then Rahim will have 10% more stamps than Karim. How many stamps did karim begin with?
P and Q start a business with initial investment in the ratio of 13: 8 Their corresponding annual profits are in the ration of 7: 5. If p invested his money for 7 months, find the time period for which Q invested his money.
Compound interest on a certain sum for 2 years at 10% per annum is Tk. 420.What would be the simple interest at the same rate and for the same time?
Ravi leaves home for stadium which is 12 km form his house. After the stadium, and club all fail in a time, then what is the minimum distance he has to travel to get back home?
If a man cycles at 10 km/hr, then he arrives at a certain place at 1 pm. If he cycles at 15 km/hr, he will arrive at the same place at 11 am. At what speed must he cycles to get there at noon?
which of the following equals ___ -(2-8)(22+8)?
Three measuring rods are 64 cm, 80 cm and 96 cm in length. what is the least length of cloth that can be measured exact number of times using any one of these rods?
A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes . Both the taps are kept open for 10 minutes and then the first tap is shut off. After this, the tank will be completely filled in what time?
There is rectangular parking lot with a length of 2x and a width of x . what is the ratio of the perimeter of the parking lot to the area of the paring lot. in terms of x?
The ratio of income of A to that of B is 7 : 5 and the expenditure of A to that of B is 3 : 2 . If, at the end of the year, each saves , Tk. 500 , find the income of A.
An empty bucket being filled with paint at a constant rate takes 6 min to be filled to 7/10 of its capacity. How much more time will it take to fill the bucket to full capacity?
In distributing milk at a summer camp it is found that a quart of milk will fill either 3 large glass tumblers or 5 small lass tumblers. How many small glass tumblers can be filled with one large glass tumbler?
A bank offers 5% inerest compounded half yearly. A customer deposits Tk. 1600 each on 1 st January and 1st July of a year. At the end of the year, the amount he would have gained by the way of interest is
A rectangular fish tank 25m by 9m has water in it to a level of 2m. This water is carefully poured into a cylindrical container with a diameter of 10 m. How high will the water reach in the cylindrical container?
At a symposium, 20% of the professors are psychologists , 60% are biologists and the remaining 12 professors are economist. If 20 of the professors wear glasses, what percent of the professors do not wear glasses?
In a department , 3/5 of the workers are men and the rest are women. If 1/2 of the men and 3/7 of the women in the department are over 35, what fraction of all the workers in the department are over 35?
The ratio of investments of two partners P and Q is 7 : 5 and the ratio of their profits is 7 : 10. If P invested the money for months, find for how much time did Q invest the money .
A clock strikes once at 1 o'clock, twice at 2 o'clock, thrice at 3 o'clock and so on. How many times will it strike in 24 hours?
A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random form this box. The probability that at least one of these is defective is ___