TCS Company Numerical Ability Algebra

Rearrange the following letters to make a word and choose the category in which it Ms RAPETEKA
a) Bird b) Vegetable c) City d) Fruit

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Alok is attending a workshop. How to do more with lesserĀ and today's theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fewer digits.
The problem posed at the end of the workshop is
How many four digit numbers can be formed using the digits 1,2,3,4,5
(but with repetition) that are divisible by 4?

Can you help Alok find the answer?
a) 100 b) 125 c) 75 d) 85
On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*[sqrt(t-9)] for t>9, where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
a) 17 b) 21.25 c) 12.25 d) 14.05