The length, breadth and height of a room are 5 m 25 cm, 3 m 25 cm and 1 m 25 cm respectively. The length of the longest rod which can measure the three dimensions of the room exactly will be:
A three digit number 4A3 is added to another three digit number 984 to give the four digit number 13B7, which is a multiple of 11, the value of A+B is:
A three digit number is formed by three consecutive digits whose sum is six. The number formed by interchanging the digit at tens place with hundreds place is 90 more than the original number, find the number.
A train covers a certain distance at an uniform speed. If the train had been 10 kmph faster, it would take 5 hours less than the scheduled time and if the train were slower by 10 kmph, it would have taken 7.5 hours more than the scheduled time. Find total length of the journey.
The ratio of income of Mack and Jacob is 3 : 4 and the ratio of their expenditures is 1 : 2. If their individual savings is Rs. 2000, then their monthly income are:
A tree is broken at a height of \[120\,\sqrt{3}\] m from the horizontal ground in such a way that its top touches the ground at a distance of 120 m from its base. The angle at which the top of the tree touches the ground is:
Water flows at the rate of 10 m per minute through a cylindrical pipe having its diametre as 5 mm. How much time will it take to fill a conical vessel whose diametre of base is 40 cm and depth 24 cm?
The marks obtained by the 12 students in Mathematics in the first term of the school examination are given as 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17. Find the mean.
A bag contains 10 green balls and some white balls. If the probability of drawing the white ball from the bag is thrice that of a green ball, find the number of white balls in the bag.
There are two examination halls, P and Q. If 10 students are sent from P to Q, then the number of students in each room is same. If 20 students are sent from Q to P, then the number of students in P is double of that in Q. The number of students in P and Q respectively are:
A portion of a 30 m long tree is broken by a tornado and the top struck up the ground making an angle of \[30{}^\circ \] with the ground level. The height of the point where the tree is broken is equal to:
A part of monthly expenses of a family is constant and the remaining varies with the price of wheat. When the rate of wheat is Rs. 250 a quintal, the total monthly expenses of the family are? 1000 and when it is Rs. 240 a quintal, the total monthly expenses are Rs. 980. Find the total monthly expenses of the family when the cost of wheat is Rs. 350 a quintal.
The lateral surface of a cylinder is developed into a square whose diagonal is \[2\sqrt{2}\,cm\]. The area of base of the cylinder \[(in\,\,c{{m}^{2}})\] is:
Visiting a historical monument, a tourist asked, ?How old is this monument?? The guide replied, ?The monument is over fifty-years old. Its exact age was a square number two years ago, and will be a cube number two year hence.? What is the age of the monument?