Test: Fractions And Decimals - 1

Total number of blocks = 8

Number of shaded blocks = 4

Number of unshaded blocks = 4

Fraction of Shaded area =  No. of blocks of shaded area / Total number of blocks 

4 / 8 = 1/2 

So option A is the correct answer. 

Total number of blocks = 8

Number of shaded blocks = 1

Number of unshaded blocks = 7

Fraction of Shaded area =  No. of shaded blocks/ Total number of blocks 

= 1 / 8 

So option B is the correct answer. 

Total number of blocks = 3

Number of shaded blocks = 1

Number of unshaded blocks = 2

Fraction of Shaded area =  No. of shaded blocks/ Total number of blocks 

= 1 / 3

So option B is the correct answer. 

Total number of blocks = 6

Number of shaded blocks = 4

Number of unshaded blocks = 2

Fraction of Shaded area =  No. of shaded blocks/ Total number of blocks 

= 4 / 6 = 2/3

So option A is the correct answer. 

Total number of blocks = 8

Number of shaded blocks = 7

Number of unshaded blocks = 1

Fraction of Shaded area =  No. of shaded blocks/ Total number of blocks 

=7/8 

So option C is the correct answer. 

0.23232323…=0.
Let x=0.
Multiplying both sides by 100
100x=23.
Subtracting
100x-x=23.-0.
99x=23
x=23/99

Let the three integers be x, x + 2 and x + 4.

Then, 3x = 2(x + 4) + 3  ⇔  x = 11.

∴ Third integer = x + 4 = 15.

(1/2)x(1/5) = 1 / 10 

So option B is correct answer. 

Since 2994 is divided by 100 and 14.5 is divided by 10 that is So there is only one decimal shift that is why answer also has one decimal shift which is 17.2

0.01 × 0.01 = 0.0001

So option A is the correct answer.

(2/9), (2/3), (8/21)

First we convert each fraction into like fraction.

2/9 = (2 x 7)/(9 x 7) = 14/63.

2/3 = (2 x 21)/(3 x 21) = 42/63.

8/21 = (8 x 2)/(21 x 3) = 24/63.

If denominators are same, then, greater the numerator, greater will be the fraction.

Here, 42 > 24 > 14

So the fractions in descending order will be:(2/3) > (8/21) > (2/9).

The part of the apple eaten by Ritu = 3/5

The part of the apple eaten by Somu = 1 - (3/5) = (5 - 3)/5 = 2/5.

We know, Perimeter of a square is 4a

Given, a = 2/a

So perimeter = 4a = 4 x 2/a = 8/a

Given numbers are :

0.3 , 3 , 0.03 and 0.002 

We know that Average =  Sum of numbers divided by total numbers

 Average = 0.3 + 3 + 0.03 + 0.002 / 4

                    = 3.332 / 4 

                    = 0.833

So, Average = 0.833 

Therefore, option A is the correct answer.

Given numbers are :

3.003 and 2.05

Now, Sum of numbers = 3.003 + 2.05    = 5.053

Difference of numbers = 3.003 - 2.05  = 0.953

Adding the Difference of numbers to the Sum of numbers , we get 

 5.053 + 0.953 = 6.006

So option A is the correct answer. 

Given , 

Length =  6.7 cm

Breadth = 2 cm

Area of rectangle = L X B

= (6.7 x 2 ) cm

= 13.4 cm²

So option B is the correct answer.

43m = 0.086

m = 0.086 / 43

m = 0.002

So option A is the correct answer.

2.5 × 0.3 = 0.75

So option A is the correct answer. 

The fraction ( p+q)/q = p/q + q/q 

i.e, p/q + 1

So option C is the correct answer. 

Explanation : 

= 3/5 x 25 = 3 x 5 

= 15 

So option C is the correct answer. 

= 5/7 ÷ 1/2

=  5/7 x 2/1

=  10 / 7

So option C is the correct answer. 

A fraction in which the numerator is greater than the denominator is improper fraction.

Since in the given fraction 50 / 20

50 is greater than 20. So it is an improper fraction .

So option C is the correct answer. 

Two fractions are said to be equivalent fractions if the simplest form of both the fractions is the same. So 6/20=3/10 , 5/20=¼ and 1/40 =1/40 .So equivalent fraction of 3/10 is 6/20

Given 2 / 3 of 66 = 2 / 3 x 66 = 44

Hence , 2/3 of 66 is 44 

So option D is the correct answer. 

The product of two proper fractions is less than each of the fractions that are multiplied .

e.g, 1 /2 x 1 / 4 = 1 / 8 

1 / 8 < 1 / 2 and 1 / 8 < 1 / 4.

divide whole of the fraction 2/4 by 2, we get 1/2.

 Rs.7 + Rs 7 / 100 + Rs  0.07 = Rs 7.07

When you multiply 2.05 by 1.3 you get 2.665 , because there are three decimal places.

 = 11/6 

So option C is the correct answer.