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Quantitative Aptitude > Number System

DECIMAL FRACTION MCQs

Decimals, Fractions, Decimals And Fractions

Total Questions : 871 | Page 3 of 88 pages
Question 21.

  1. The fractions given below are in their lowest terms. Supply the missing figures.  \(5\frac{1}{*}\times*\frac{3}{4}\)  = 20

  1.    3 , 1
  2.    4 , 1
  3.    1 , 5
  4.    3, 3
 Discuss Question
Answer: Option D. -> 3, 3
Question 22.
  1. 80000 is equivalent to which of the following?

  1.    0.23 x 107
  2.    0.23 x 105
  3.    23 x 203
  4.    22 x 105
 Discuss Question
Answer: Option A. -> 0.23 x 107
The given expression 80000 is equivalent to 0.2^3 x 10^7. To understand this, first we need to understand the concept of scientific notation.

Scientific notation is a way of writing very large or very small numbers by using powers of 10. It is often used to express very large or very small numbers in an easier way.

For example, 10^5 = 100,000, which is easier to read than 100,000.

Mathematically, 80000 can be written as 8 x 10^4.

Since 80000 is a very large number, we can express it in scientific notation by changing the coefficient (8) to a decimal (0.8) and moving the decimal point four places to the left. This gives us 0.8 x 10^4.

Using the rule of exponents, we can combine the exponents as 0.2^3 x 10^7.

Therefore, the given expression 80000 is equivalent to 0.2^3 x 10^7.

Some of the other options are incorrect as follows:

Option B: 0.2^3 x 10^5
This option is incorrect because 10^5 is equal to 100,000 which is much smaller than 80000.

Option C: 2^3 x 20^3
This option is incorrect because 2^3 x 20^3 is equal to 160,000 which is much smaller than 80000.

Option D: 2^2 x 10^5
This option is incorrect because 2^2 x 10^5 is equal to 200,000 which is much smaller than 80000.
Question 23.

  1. What is the missing figure in the expression below? \(\frac{16}{7}\times\frac{16}{7}-\frac{*}{7}\times\frac{9}{7}+\frac{9}{7}\times\frac{9}{7}\)=1

  1.    1
  2.    7
  3.    32
  4.    224
 Discuss Question
Answer: Option C. -> 32
Question 24.

  1. 99 × 0.99 is equal to

  1.    99.01
  2.    98.11
  3.    98.01
  4.    none of these
 Discuss Question
Answer: Option C. -> 98.01
Question 25.

  1. 162.498 - ? = 69.3 + 75

  1.    93.198
  2.    18.198
  3.    87.498
  4.    none of these
 Discuss Question
Answer: Option B. -> 18.198
Question 26.

 \(\frac{36\div6-2\times2}{72-14\times5}\)  = ?

  1.    1
  2.    2
  3.    3
  4.    4
 Discuss Question
Answer: Option A. -> 1
Question 27.

  1. 162.498 - ? = 69.3 + 75

  1.    1.4
  2.    0.14
  3.    0.014
  4.    0.0014
 Discuss Question
Answer: Option D. -> 0.0014
Question 28.

  1. The decimal fraction \(\frac{2.45\times3.05}{9.9}\)  correct to the nearest tenth is

  1.    0.5
  2.    0.6
  3.    0.8
  4.    0.9
 Discuss Question
Answer: Option C. -> 0.8
Question 29.

 \(1-\left[\frac{3}{4}\times1\frac{7}{9}of\left\{1-\left(1-\frac{10}{3}\div4\frac{4}{9}\right)\right\}\right]\)  = ?

  1.    0
  2.    1
  3.    5
  4.    10
 Discuss Question
Answer: Option A. -> 0
Question 30.

\(\frac{\frac{1}{2}-\frac{1}{3}of\frac{1}{4}-\frac{1}{5}}{\left(\frac{1}{2}\times\frac{1}{3}of\frac{1}{4}\times\frac{1}{5}\right)}\) = ?

  1.    3
  2.    13
  3.    26
  4.    36
 Discuss Question
Answer: Option C. -> 26

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