1
Q:

What is the difference between the biggest and the smallest fraction among 2/3 , 3/4 , 4/5 and 5/6?

A) 1/6 B) 1/12
C) 1/20 D) 1/30

Answer:   A) 1/6



Explanation:

Converting each of the given fractions into decimal form, we get

2/3 = 0.66, 3/4 = 0.75, 4/5 = 0.8, 5/6 = 0.833 

Since 0.833>0.8>0.75>0.66 

So, 5/6 > 4/5 > 3/4 > 2/3 

Therefore,  Required Difference = 5/6 - 2/3 = 1/6

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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1 6
Q:

Express 3/8 and 1/10 as a Decimals?

A) 1.375 & 1 B) 0.375 & 1
C) 13.75 & 1.1 D) 0.375 & 0.1
 
Answer & Explanation Answer: D) 0.375 & 0.1

Explanation:

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 1258 x 125 = 3751000 = 0.375

 

1/10 as a Decimal :

1 divided into 10 parts of each 0.1.

 

Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

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2 17
Q:

5/8 as a Decimal Equals To

A) 0.625 B) 0.541
C) 0.258 D) 0.147
 
Answer & Explanation Answer: A) 0.625

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

 

 

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

 

 

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

 

  

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

 

  

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

 

  

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

 

 

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

 

 

Therefore, the decimal value of 58 is 0.625.

 

Now find a decimal value of 1117 and Discuss your at Discuss.

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6 47
Q:

If two fractions, each of which has a value between 0 and 1, are multiplied together, the product will be :

A) always greater than either of the original fractions B) always less than either of the original fractions
C) sometimes greater and sometimes less than either of the original fractions D) remains the same
 
Answer & Explanation Answer: B) always less than either of the original fractions

Explanation:

We can easily Answer this by taking some values.

 

The question states that the two fractions, each have values between 0 and 1.

Let us say one of the fraction is 1/2 and the other fraction is 1/3 .

The product of the two fractions is 1/2 x 1/3 = 1/6 .
 is lesser than both 1/2  and 1/3 .

So, the correct answer is that the product is always less than either of the original fractions

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9 659
Q:

When 0.46 is written in simplest form, the sum of the numerator and the denominator is  ?

A) 69 B) 73
C) 96 D) 41
 
Answer & Explanation Answer: B) 73

Explanation:

0.46 = 46/100 = 23/50.

Sum of the numerator and denominator is 23 + 50 = 73

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2 906
Q:

Evaluate : 3.392-2.6123.39-2.69?

A) 3 B) 4
C) 6 D) 1
 
Answer & Explanation Answer: C) 6

Explanation:

 

It is in the form of a2-b2a-b = a+ba-ba-b = a+b

 

Here a = 3.39   b = 2.61 

 

 = 3.39 + 2.61 = 6.

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5 683
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 & Explanation 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

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7 855
Q:

0.2×0.2+0.010.1×0.1+0.02-1 is equal to

A) 5/3 B) 9/5
C) 41/4 D) 41/12
 
Answer & Explanation Answer: A) 5/3

Explanation:

Given expression = 0.2×0.2×0.010.1×0.1×0.02=0.04+0.010.01+0.02=0.050.03=53

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7 1296