Test Details

Number Systems1

Dec 02, 11:00 PM

120 minutes

Dec 03, 9:00 PM

50.0 marks

MCQ

50 questions

Kanu Da

Abhijit Mondal, BSC In Chemistry Honors From Ramakrishna Mission Residential College, Narendrapur. BE In Mechanical Engineering From Indian Institute Of Engineering Science And Technology, Shibpur. Expert in Mathematics, Mechanical Engineering and SCIENCE

Class Details

MATHEMATICS

Science

Basic Engineering

RRB JE, ALP, Technician

MATHEMATICS

Science

Basic Engineering

Eligible criteria for ALP and Technician - 12th pass with ITI, or Diploma /Btech in Mechanical or in Electrical. For ALP should be physically fit and eye 6/6. RRB JE - Diploma or Btech in Mechanical Engineering.

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Question Text

Question 5 :
If the quotient is terminating decimal, the division is complete only when ...............

Question 9 :
Solve the following using Product Law of Exponents: ${ v }^{ 2 }{ \times v }^{ 6 }{ \times v }^{ 7 }\times w\times { w }^{ 5 }$

Question 11 :
If a number has a non-terminating and non-recurring decimal expansion, then it is.

Question 14 :
Express the following as a rational number i.e. in the form $\displaystyle \frac{a}{b};$ where a, $\displaystyle b\in I$ and $\displaystyle b\neq 0.$ $\displaystyle 0.\overline{572}$.

Question 16 :
Arrange the following in an ascending order.$\displaystyle 5.33..., 8.010010001..., 7.3175, 2+\sqrt{3}, \frac{9}{2}$.

Question 20 :
If $\displaystyle d=\frac { 1 }{ { 2 }^{ 3 }\times { 5 }^{ 7 } } $ is expressed as a terminating decimal, how many non zero digits will d have?

Question 22 :
The value of $4 \times 100 + 3 \times \frac{9}{100}$ is

Question 25 :
Express the following as a rational number i.e. in the form $\displaystyle \frac{a}{b};$ where a, $\displaystyle b\in I$ and $\displaystyle b\neq 0.$ $\displaystyle0.15\overline{8}$.

Question 26 :
What is the area of the rectangle , whose length is $5\sqrt 3\ cm$ and breadth is $5\ cm$.

Question 27 :
State true or false:There are numbers which cannot be written in the form $\frac{p}{q}$, where $q\neq 0$  and both p, q are integers.

Question 29 :
State true or false: Insert three irrational numbers between 5 and 7. Answer: $\displaystyle \sqrt{26}$, $\displaystyle \sqrt{27}$ and $\displaystyle \sqrt{29}$

Question 32 :
The number of real roots of ${ \left| x \right| }^{ 2 }-5\left| x \right| +6=0$ is

Question 36 :
The value of $5\sqrt{3} - 3\sqrt{12} + 2\sqrt{75} $ on simplifying is

Question 37 :
State whether the following statement are true or false? Justify your answers.Every real number is an irrational number.

Question 38 :
With the rational denominator, the expression$\frac{\sqrt{2}}{\sqrt{2} + \sqrt{3} - {\sqrt{5}}}$ is equivalent to:

Question 43 :
Find whether it is a terminating or a non-terminating decimal.$1.2 \div 0.16$.

Question 46 :
Arrange the following in an ascending order.$\displaystyle \sqrt{9}, 0, -5, 7, 8.1, -9.3$.

Question 50 :
The value of $\left ( \displaystyle \frac {-1}{216} \right )^{-2/3}$ is

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