Today apti (21st oct 2014)

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number

of days for which the remaining food will last, is

a. 29 1/5  . 37 1/5  c. 42  d. 54

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Today apti (15th oct 2014)

A right triangle with sides 3 cm, 4 cm, 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

a. 12pi cm^3  b. 15pi cm^3  c. 16pi cm^3   d. 20pi cm^3

Answer :

clearly we have r = 3 h = 4
volume = 1/3 (pi r^2 h)

= 1/3 x pi x 3^2 x 4

= 12pi cm^3
 

Today apti (13th oct 2014)

The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:

a. 400   b. 360    c. 480   d. 320

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Answer:

True Discount = (B.D x 100)  /  (100 + (R+T))

= Rs (420 x 100 ) / (100 + (15x 1/3))

= Rs (420 x 100 ) /105

= Rs 400


 

Today apti (7th oct 2014)

Sachin is younger than rahul by 7 years. if their ages are in the respective ratio of 7 : 9, how old is sachin?

a. 16 years   b. 18 years  c. 28 years   d. 24.5 years

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Answer:

let Rahul's age be x years
then sachin's age =  x-7 years

x-7  /  x  = 7 / 9

9x - 63 = 7x

2x = 63

x =31.5

hence, sachin's age
x-7 = 24.5 years