6
Q:

The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :            

A) 0.01 B) 0.02
C) 0.03 D) 0.04

Answer:   D) 0.04



Explanation:

Given = (11.98)^2 + (0.02)^2 + 11.98 * x. 

For the given expression to be a perfecr square, we must have

11.98 * x = 2 * 11.98 * 0.02 => x = 0.04

Q:

What is the quotient of 18/1000?

A) 1.8 B) 0.18
C) 0.018 D) 0.0018
 
Answer & Explanation Answer: C) 0.018

Explanation:

In these type of fractions, the decimal moves left the number of zeroes in the divisor times. Herein the given question 18/1000, there are 3 zeros in 1000 (divisor). Hence, the quotient is 0.018.

 

The quotient of 18/1000 = 0.018.

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2 177
Q:

16/3 =

A) 5.33 B) 6
C) 5.74 D) 5.68
 
Answer & Explanation Answer: A) 5.33

Explanation:

16/3 = 5.333.. = 5.3

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1 248
Q:

3/5 as a decimal fraction?

A) 0.25 B) 0.45
C) 0.60 D) 0.75
 
Answer & Explanation Answer: C) 0.60

Explanation:

Given fraction is 3/5

Now, multiply with 2 for numerator and denominator

we get,

3/5 x 2/2 = 6/10

 

When we divide, 6 with 10, we get 0.6 as quotient.

 

Hence, 3/5 as a decimal fraction is 0.6.

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1 266
Q:

Which of the following fraction is the largest?

A) 7/12 B) 9/16
C) 13/20 D) 32/80
 
Answer & Explanation Answer: A) 7/12

Explanation:

Here to say which fraction is greater from the given options, the fraction with greater numerator with same denominator or smaller denominator with same numerator.

To find the greater fraction, among the given options, make the denominators same for the options by finding the LCM of all the denominators.

7/12, 9/16, 13/20, 32/80

Now, LCM of 12, 16, 20, 80 = 240.

Then,

140/240, 135/240, 156/240, 96/240

Here 

156240 > 140240 > 135240 > 96240=> 1320 > 712 > 916 > 3280

 

Hence, largest fraction = 13/20.

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2 562
Q:

2/3 as a decimal

A) 0.47 B) 6.77
C) 0.67 D) 0.07
 
Answer & Explanation Answer: C) 0.67

Explanation:

To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator.

2/3

How it comes :

÷ 0 bring down the decimal point.

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

20 ÷ 6 and carry the remainder 2 to make 20

etc...

This gives the recurring decimal 0.6666...

If we round off to two decimals , then it becomes 0.67.

 

Hence, decimal fraction of 2/3 = 0.67.

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0 694
Q:

3/8 as a decimal

A) 1.375 B) 2.375
C) 0.375 D) 3.75
 
Answer & Explanation Answer: C) 0.375

Explanation:

Expressing 3/8 as a decimal fraction:

We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts.

Then, it is 3/8 = 0.375 as a decimal fraction.

 

Other Method::

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

 

=> (3 x 125)/(8 x 125) = 375/1000 = 0.375.

 

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3 480
Q:

3/4 divided by 2 is

A) 3/2 B) 2/3
C) 8/3 D) 3/8
 
Answer & Explanation Answer: D) 3/8

Explanation:

3/4 divided by 2

= 3/4/2

= 3/4x2

= 3/8.

 

Hence, 3/4 divided by 2 is equal to 3/8.

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4 662
Q:

1/8 as a decimal?

A) 0.125 B) 0.225
C) 0.325 D) 0.425
 
Answer & Explanation Answer: A) 0.125

Explanation:

1/8 to convert into decimal,

Find an equivalent fraction with a denominator of a power of 10.

In this case, we will use 1000.

18 x 125125 = 1251000

This can now be written as a decimal with 3 decimal places (because we have thousandths.

i.e, 0.125

 

Hence, 18 as a decimal = 0.125

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5 640