A basket contains three type of fruits weighing ^@ \dfrac{ 101 } { 3 } ^@ kg in all. If ^@ \dfrac{ 69 } { 10 } ^@ kg of these are apples, ^@ \dfrac{ 19 } { 2 } ^@ kg are oranges and the rest are pears. What is the weight of the pears in the basket?
There are 1839 soldiers in a platoon. The commander of the platoon wants to impress the visiting general by arranging his soldiers in such a manner that they are arranged in n rows, and each row has n soldiers. He finds that he cannot do this with the number of soldiers he has. What is the minimum number of soldiers he needs additionally to do this kind of a formation?
The diagram shows a segment of a circle such that ^@ CD ^@ is perpendicular bisector of the chord ^@ AB. ^@ Given that ^@ AB = 28 ^@ and ^@ CD = 7, ^@ find the diameter of the circle.
In a trapezoid of area 112 cm2, the length of two parallel sides are in ratio 4:3. If the height of trapezoid is 8 cm, find the length of larger of the two parallel sides.
It is known that ^@n^{ 2012 } + n^{ 2010 }^@ is divisible by ^@10^@ for some positive integer ^@n^@. Which of the following numbers is not a possible value for ^@n^@?
The graph below shows the profit (in crores) of two banks (A and B) for ten years. Find the combined profit of two banks in the year when combined profit was minimum.
In a ^@3^@-digit number, the hundreds digit is ^@twice^@ the tens digit while the units digit is ^@thrice^@ the tens digit. Also, the sum of its digits is ^@18^@. Find the number.
There are 35 students in a class, out of which 13 are girls. If a teacher randomly picks a student, what is the probability that the student picked is a boy?