Quantitative Aptitude

Number System and Simplification

548 Questions

Number system and simplification questions assess mathematical proficiency in handling fractions, decimals, and complex algebraic expressions. Test takers must simplify surds, calculate reciprocals, and solve intricate number pattern equations. This foundational quantitative aptitude topic is critical for achieving high scores in SSC and banking exams.

Fraction simplificationDecimal operationsSurds and indicesPercentage calculationsComplex number algebra

Number System and Simplification Questions

Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

Simplify $\displaystyle (27)^{\frac{-2}{3}} \div \displaystyle (64)^{\frac{-2}{3}}$ is---

$\displaystyle \frac{9}{16}$
16
$\displaystyle \frac{16}{9}$
9

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Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

The usual form of $\displaystyle 6\cdot 8793\times 10^{4}$ is:

$687930$
$68793$
$6879.3$
$6879300$

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Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

The value of $\dfrac{(10^4+324)(22^4+324)(34^4+324)(46^4+324)(58^4+324)}{(4^4+324)(16^4+324)(28^4+324)(40^4+324)(52^4+324)}$ is?

$324$
$400$
$373$
$1024$

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Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

Solve:

$ \displaystyle 9^{\dfrac{3}{2}\div (243)^{-\dfrac{2}{3}}} $ simplifies to

$ \displaystyle 3^{\dfrac{10}{3}} $
<p><span lang="EN-US">${{3}^{{{3}^{\dfrac{13}{3}}}}} $</p>
$ \displaystyle 3^{\dfrac{1}{3}} $
$ \displaystyle 3^{19} $

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Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

The usual form of $\displaystyle 5\times 10^{-8}$ is

$0.000005$
$0.00000005$
$0.0000005$
$0.000000005$

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Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

The usual form of $\displaystyle 4\cdot 56\times 10^{-5}$ is:

$0.0000456$
$0.00000456$
$0.000456$
$456000$

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Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

If $0.00044=$$\displaystyle 4\cdot 4\times 10^{n}$ then, find the value of $ n$.

$4$
$5$
$-4$
$-5$

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Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

The standard form of $\displaystyle \frac{1}{10000000}$ is:

$\displaystyle 1\times 10^{-7}$
$\displaystyle 0\cdot 1\times 10^{-7}$
$\displaystyle 1\times 10^{7}$
$\displaystyle 1\times 10^{-6}$

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Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

The distance of the sun from the earth is $1,49,60,00,00,000$ m. Express it in standard form.

$\displaystyle 1\cdot 496\times 10^{-10}$
$\displaystyle 1\cdot 496\times 10^{-11}$
$\displaystyle 1\cdot 496\times 10^{10}$
$\displaystyle 1\cdot 496\times 10^{11}$

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Multiple choice maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

The usual form of $\displaystyle 2\cdot 73\times 10^{12}$ is:

$273000000000$
$2.730000000000$
$2730000000000$
$27300000000000$

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Multiple choice maths square and square root perfect square or square number squares and triangles powers and roots

If $ \displaystyle (ab^{-1})^{2x-1}=(ba^{-1})^{x-2} $ then what is the value of x?

$-1$
$2$
$-3$
$4$

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Multiple choice maths square and square root perfect square or square number squares and triangles powers and roots

If $\displaystyle { m }^{ -1 }=-\frac { 1 }{ 3 } $, then $\displaystyle { m }^{ -2 }$ is equal to

$-9$
$-3$
$\cfrac{-1}{9}$
$\dfrac{1}{9}$
$9$

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Multiple choice maths square and square root perfect square or square number squares and triangles powers and roots

$(\dfrac{24}{4\times 12})^2$ = ?

$\dfrac{3}{4}$
$\dfrac{1}{4}$
$\dfrac{5}{4}$
$\dfrac{1}{3}$

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Multiple choice maths square and square root perfect square or square number squares and triangles powers and roots

$(\dfrac{30 \times 25}{60\times 5})^2$ = ?

$\dfrac{15}{4}$
$\dfrac{25}{3}$
$\dfrac{12}{4}$
$\dfrac{25}{4}$

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Multiple choice applications of quadratic equations solving (simple) problems word problems based on quadratic equations quadratic equation maths

What is the value of $x$ in the equation $\displaystyle \sqrt{1+\sqrt{1-\frac{2176}{2401}}}=1+\frac{x}{7}$?

0
1
2
3

Reveal answer Fill a bubble to check yourself

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