Question
A cube of maximum possible volume is cut from a sphere
of radius 5√3 cm. What is the ratio of the volume of a cube to that of the sphere?Solution
Diagonal of cube = Diameter of sphere √3 a = 2 (5√3) ∴ a = 10 cm Required ratio = volume of cube: volume of sphere = (10)³: 4/3 π (5√3)³ = 1000: 4/3 π × 125 × 3√3 = 2: √3 π
Three friends, A, B and C work in an office, in the IT, HR and Banking departments. A works in the banking department and works 8 hours a day, but, the ...
In a certain code language, 'MONEY' is coded as '64381' and 'HONEY' is coded as '54381'. What is the code for 'H' in that language?
Read the following information carefully and answer the questions given below.
A+B means A is the daughter of B.
...
J is the daughter of K. K and L are sisters. M is the mother of L, and N is the father of M. How is N related to K?
Select the correct mirror image of the given combination when the mirror is placed at 'MN' as shown below.
Statements:
I. Some J are M.
II. Some Q are J.
Conclusions:
I. No M is Q.
II. Some M are J.
What will come in the place of '?' in the following equation, if '+' and '–' are interchanged and '×' and '÷' are interchanged?
108 × 9 + 15...
Which of the following numbers will replace the question mark (?) in the given series?
3, 12, ?, 39, 57, 78
In a certain code language, MALE is written as 2375 and CIRCULAR is written as 98496734 then how can CLAIM be written in that code language?
X # Y means 'X is the brother of Y'
X @ Y means 'X is the daughter of Y'
X & Y means 'X is the husband of Y'
X % Y means 'X is the ...