Cognizant Number, Decimal & Fraction- Quiz-1

Weight of 1 apple = 250 g
Weight of 6 apples = 250 * 6
= 1.5 kg

Initial weight = 14.5 - 1.5
= 13 kg
Number of apples in his carton initially :
= 13000/250
=52 apples

Explanation:

0.006841 - 0.006 = 0.000841

square root (0.000841) = 0.029

Correct Option is A.

First Prime Factorize 86700, that Gives;

86700 = 2×2×5×5×3×17×17

As factor of 3 is not in Pair.

86700 should be divided by 3 to get a Perfect Square

i.e.- 86700/3  = 28900

³¹/_{2000 or} 

Write it as a fraction
0.0155/1

Multiply 10000 to both numerator & denominator
(0.0155 x 10000)/(1 x 10000) = 155/10000
It can be written as 1.55% = 1.55/100 or 155/10000

find LCM (Least Common Multiple) for 155 & 10000.
5 is the LCM for 155 & 10000

divide numerator & denominator by 5
155/10000 = (155 / 5) / (10000 / 5)
= 31/2000

The tailor has to make 8 piece from 1 metre.
So for 1 piece ,the measurement will be 1/8=0.125 m
from 37.5 m tailor can get 37.5/0.125 = 300 pieces

1) 36839/17 = 2167,Dividend contains 2 places of decimal So,3.68.39 / 17=21.67
2) 17050/62 = 275 ,Dividend contains 2 places of decimal So,170.50/62 = 2.75
3) 87565/83 = 1055,Dividend contains 2 places of decimal So,875.65/83 = 10.55
Since 21.67>10.55>2.75 ,the desired order is 1,3,2.

Given , 0.3x0.25x0.5x0.125x24
it can be written as :

Let x + 543 + 5.43

= 603.26.

Then, x = 603.26 - (543 + 5.43)

= 603.26 - 548.43 =54.83

Missing digit = 8..

Required decimal=

In one hour =\frac{1}{60 \times 60} = \frac{1}{3600} sec =.00027

Video solution:

0.36 = 36/100 = 9/25.
Sum of the numerator and denominator is 9 + 25 = 34