4
Q:

# The price of commodity X increases by 40 paise every year, while the price of commodity Y increases  by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity?

 A) 2010 B) 2011 C) 2012 D) 2013

Explanation:

Suppose commodity X wil cost 40 paise more than Y after Z  years. Then,

(4.20 + 0.40Z) - (6.30 + 0.15Z) = 0.40

=>  0.25Z = 0.40 + 2.10  => Z= 2.50/0.25 = 10

Therefore, X will cost 40 paise more than Y 10  years after 2001 . i.e in 2011

Q:

2/3 as a decimal

 A) 0.47 B) 6.77 C) 0.67 D) 0.07

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.

0 66
Q:

3/8 as a decimal

 A) 1.375 B) 2.375 C) 0.375 D) 3.75

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.

2 48
Q:

3/4 divided by 2 is

 A) 3/2 B) 2/3 C) 8/3 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.

1 59
Q:

1/8 as a decimal?

 A) 0.125 B) 0.225 C) 0.325 D) 0.425

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.

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

i.e, 0.125

Hence,

2 239
Q:

What is $\frac{1}{5}$ as a decimal?

 A) 0.333 B) 0.666 C) 0.200 D) 0.452

Explanation:

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

3 355
Q:

125 over 1000 in Simplest Form?

 A) 2/9 B) 1/8 C) 3/8 D) 4/7

Explanation:

125 over 1000 in Simplest Form means $\frac{\mathbf{125}}{\mathbf{1000}}$ 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,

Hence, $\frac{\mathbf{1}}{\mathbf{8}}$ is the simplest form of 125 over 1000.

3 252
Q:

$\frac{\mathbf{1}}{\mathbf{8}}$ as a decimal?

 A) 0.375 B) 0.247 C) 0.214 D) 0.125

Explanation:

Here  $\frac{\mathbf{1}}{\mathbf{8}}$ in decimal means 8th part in 1.

We know that $\frac{\mathbf{1}}{\mathbf{10}}$ = 0.1

Then,

=>

3 335
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

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

Similarly,

0.375 ::

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000