Tag: maths

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Questions Related to maths

Multiple choice maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

What is the missing value in the given mathematical statement?
$0.25\times 12 = 0.25 \times 3 + 0.25 \times 3 + 0.25\times$ ________.

  1. $2$
  2. $3$
  3. $6$
  4. $8$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using distributive property, we have
$0.25\times 12 = 0.25 \times (3 + 3 + 6)$
$\Rightarrow 0.25\times 12 = 0.25 \times 3 + 0.25\times 3 + 0.25 \times 6$.

Multiple choice maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

The value of $\dfrac{0.008\times 0.01\times 0.0072}{(0.12\times 0.0004)}$ is:

  1. $0.012$
  2. $0.12$
  3. $1.02$
  4. $1.2$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given expression 


$\dfrac{0.008\times 0.01\times 0.0072}{(0.12\times 0.0004)}$ 

$=\dfrac {0.008\times0.01\times0.0072}{0.000048}$

$=0.00008\times\dfrac{0.0072}{0.000048}$

$=\dfrac{8}{48}\times\dfrac{72}{1000}$

$=0.012$

Multiple choice maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

Find the value of following expression:
$\dfrac{(0.1667)(0.8333)(0.3333)}{(0.2222)(0.6667)(0.1250)}$

  1. $2$
  2. $2.40$
  3. $2.43$
  4. $2.50$
  5. $None\ of\ these$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Converting the decimals to fractions: 0.1667 = 1/6, 0.8333 = 5/6, 0.3333 = 1/3, 0.2222 = 2/9, 0.6667 = 2/3, and 0.1250 = 1/8. Substituting these into the expression gives ((1/6)(5/6)(1/3)) / ((2/9)(2/3)(1/8)) = (5 / 108) / (2 / 54) = (5 / 108) * (54 / 2) = 5 / 4 = 1.25, wait let us re-evaluate carefully: numerator = (1/6)(5/6)(1/3) = 5/108. Denominator = (2/9)(2/3)(1/8) = 4/216 = 2/108. So (5/108) / (2/108) = 5/2 = 2.50.

Multiple choice maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

Number of zero's in the product of
$5 \times 10 \times 25 \times 40 \times 50 \times 55 \times 65 \times 125 \times 80 $

  1. $8$
  2. $9$
  3. $12$
  4. $13$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$5 \times 10 \times 25 \times 40 \times 50 \times 55 \times 65 \times 125 \times 80 $
$= 5 \times 2 \times 5 \times 5^2 \times 2^3 \times 5 \times 2 \times 5^2 \times 11 \times 5 \times 13 \times 5 \times 5^3 \times 2^4 \times 5$
$= 2^9 \times 5^{13}\times 11 \times 13 = (2 \times 5)^9 \times 5^4 \times 11 \times 13$


As we know that zeroes are formed by the product of a $2$ and a $5$ i.e. $2$ x $5$. 

Therefore, number of zeroes depends on the number of pairs of $2$'s and $5$'s that can be formed in the given product. 

Since $9$ pairs of $2$'s and $5$'s are formed in the given product, hence there will be $9$ zeroes in the given product.

Multiple choice maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

If u, v and w are the digits of decimal system, then the rational number represented by 0.uwuvuvuvuv......is

  1. (100 uw + 99 uv)/99

  2. (99uw + uv)/980

  3. (99uw + uv)/9900

  4. (9uw + 99uv)/900
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

x =0.uwuvuvuvuv...
x = O.uwuv
(i) x 100
100x = uw. uv
(ii) x 100
10000x = uwuv - uv
(iii) - (ii)