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Q:

Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

A) 404 B) 415
C) 418 D) 420

Answer:   C) 418



Explanation:

Let the total book be 1

Then, in the 1st week 613th of book is read

i.e remaining pages =  1-613=713


in 2nd week he read 59th of it

i.e 59×713=35117
Remaining pages after 2nd week = 713-35117=28117

But given remaining pages after 2nd week = 100

 

28x117=100

--> x = 418 

 The total pages in the book are 418

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 73
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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2 52
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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1 64
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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2 246
Q:

What is 15 as a decimal?

A) 0.333 B) 0.666
C) 0.200 D) 0.452
 
Answer & Explanation Answer: C) 0.200

Explanation:

Here I converted the original fraction to a fraction with the denominator being 10, because decimals can be written in the tenths place.

Divide numerator and denominator with '2'15 x 22 = 210 = 0.2

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3 364
Q:

125 over 1000 in Simplest Form?

A) 2/9 B) 1/8
C) 3/8 D) 4/7
 
Answer & Explanation Answer: B) 1/8

Explanation:

125 over 1000 in Simplest Form means 1251000 in its simple fraction form.

 

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

 

HCF of 125, 1000 = 125

 

Then, divide both numerator and denominator by 125

i.e, 1251251000125 = 18

 

Hence, 18 is the simplest form of 125 over 1000.

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4 260
Q:

18 as a decimal?

A) 0.375 B) 0.247
C) 0.214 D) 0.125
 
Answer & Explanation Answer: D) 0.125

Explanation:

Here  18 in decimal means 8th part in 1.

We know that 110 = 0.1

Then,   18 = ?

=> ? = 18 x 0.1110= 0.1 x 108= 0.5418= 0.125

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3 339
Q:

Express 0.875 and 0.375 as a Fraction.

A) 3/11 & 7/11 B) 7/9 & 9/13
C) 7/8 & 3/8 D) 7/9 & 9/11
 
Answer & Explanation Answer: C) 7/8 & 3/8

Explanation:

Given 0.875 and 0.375

0.875 ::

After decimal point there are 3 digits 875

Now, mutiply and divide 0.875 with 1000

0.875 x 10001000 = 8751000 Now, this can be reduced to fraction 78Therefore, 0.875 as fraction = 78

Similarly,

0.375 :: 

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

0.375 x 10001000 = 3751000Now, this can be reduced to fraction 38Therefore, 0.375 as fraction = 38

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