Quantitative Aptitude - Arithmetic Ability Questions

Except Granite all other options belong to the group of precious stones.

Area = 12*diagonal1*12diagonal2 = 12*24*10 sq.cm  

12*daigonal1=12*24=12cm 

12*diagonal2=12*10=5cm 

side of a rhombus = (12)² + (5)² = 169      => AB = 13cm

Total land of Sukhiya = 480x/0.6 = 800x

Cultivated land of village = 384000x

Required percentage = 800x384000x 100 = 0.20833

5M + 2B = 4(1M + 1B)

5M + 2B = 4M + 4B

1M = 2B

The required ratio of work done by a man and a boy = 2:1

Let n=4*q + 3. Then, 2*n = 8*q + 6 = 4(2*q + 1) + 2.
Thus when 2*n is divided by 4, the reminder is 2.

If a number to be divisile by 88, it should be divisible by both "8" and "11"

Check for '8' :
For a number to be divisible by "8", the last 3-digit should be divisible by "8"
Here 72x23y --> last 3-digit is '23y'
So y=2 [ (i.e) 232 is absolutely divisible by "8"]

Chech for '11' :
For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"
(7 + x + 3) - (2 + 2 + y)
(7 + x + 3) - (2 + 2 + 2)
(10 + x) - 6 should be divisible by "11"
for x = 7
=> 17 - 6 = 11 [ which is absolutely divisible by "11"]

So x = 7 , y= 2.