Quantitative Aptitude

Simplification and Approximation

647 Questions

All Approximate with option-sensitive rounding 386 Percentage calculation 112 Calculate squares and identify square roots 38 Simplify surds and indices 29 VBODMAS 27 Recognize algebraic identity patterns 23 Use cube patterns and perfect cube roots 15 Fraction and mixed number reduction 13 Mixed recurring decimals 3 Integer division and remainders 1

Simplification and Approximation Questions

Find the square root correct upto $2$ decimals $60.92$.

$7.92$
$7.81$
$7.27$
$7.56$

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Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

If $\sqrt{3}\, =\, 1.732,$ then the approximate value of $\displaystyle \frac{1}{\sqrt{3}}$ is

0.617
0.313
0.577
0.173

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Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

Find the square root of $10$, correct to four places of decimal.

3.4623
3.1023
3.1693
3.1623

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D Correct answer

Explanation

	$3.16227$
$3$$+3$	$10$$9$
$61$$+1$	$100$$61$
$626$$+6$	$3900$$3756$
$6322$$+2$	$14400$$12644$
$63242$$+2$-------------$632447$	$175600$$126484$---------------$4911600$$4427129$

$\sqrt{10}=3.16227\simeq 3.1623$
$\therefore$ The square root of $10$ correct to four places of decimal is $3.1623$

Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

The approximate value of $\sqrt{(1.97)^2+(4.02)^2+(3.98)^2}$.

$5.99$
$5.099$
$5.009$
$5.734$

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Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

Find the square root of $\displaystyle 3 \frac{4}{5}$ to two decimal places

$1.95$
$1.96$
$1.84$
$1.94$

Reveal answer Fill a bubble to check yourself

A Correct answer

Explanation

$\displaystyle 3 \dfrac{4}{5}$
$=\dfrac{19}{5}$
$=3.8$


$1$$1$	$3.8$$1$
$29$$9$	$280$$261$
$384$$4$	$1900$$1536$
$3889$	$36400$$35001$

Therefore,
Square root of $\displaystyle 3 \frac{4}{5}=1.949$
$=1.95$

Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

Find the square root of $\displaystyle 1 \frac{5}{16}$ correct to two decimal places

$1.14$
$1.15$
$1.65$
$1.12$

Reveal answer Fill a bubble to check yourself

B Correct answer

Explanation

$\displaystyle 1 \dfrac{15}{16}$

$=\dfrac{21}{16}$
$=1.3125$


$1$$1$	$1.3125$$1$
$21$ $1$	$31$$21$
$224$ $4$	$1025$$896$
$2285$	$12900$$11425$ $1475$

Therefore,
Square root of $\displaystyle 1 \frac{15}{16}=1.145$
$=1.15$

Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

Find the square root of $\displaystyle 6 \frac{7}{8}$ correct to two decimal places

$2.62$
$2.61$
$2.63$
$2.6$

Reveal answer Fill a bubble to check yourself

A Correct answer

Explanation

$\displaystyle 6 \frac{7}{8}$
$=\dfrac{55}{8}$
$=6.875$


$2$$2$	$6.875$$4$
$46$ $6$	$287$$276$
$522$	$1150$$1044$
	$6$

Therefore,
Square root of $\displaystyle 6 \frac{7}{8}=2.62$

Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

Find the square root of each of the following correct to three places of decimal.
$17$
$1.7$
$2.5$
$\displaystyle\frac{7}{8}$

$4.153\;;\;1.304\;;\;1.581\;;\;0.935$
$4.123\;;\;1.304\;;\;1.581\;;\;0.995$
$4.123\;;\;1.304\;;\;1.581\;;\;0.935$
$4.123\;;\;1.304\;;\;1.501\;;\;0.935$

Reveal answer Fill a bubble to check yourself

C Correct answer

Explanation

$17$

	$4.123$
$4$$+4$	$17$$16$
$822$$+2$	$100$$81$
$8243$	$1900$$1644$
	$25600$$24729$ $871$

$\therefore$ The square root of $17=4.123$

$1.7$

$0$	$1.303$
$1$$+1$	$1.7$$1$
$23$$+3$	$70$$69$
$2603$	$10000$$7809$
	$1191$

$\therefore$ The square root of $1.7=1.303$

$2.5$

$0$	$1.581$
$1$$+1$	$2.5$$1$
$25$$+5$	$150$$125$
$308$$+8$	$2500$$2464$
$3161$	$3600$$3161$ $439$

$\therefore$ The square root of $2.5=1.581$

$\frac{7}{8}$

$8$	$70$$64$	$0.875$
	$60$$56$
	$40$$40$ $0$

	$0.935$
$0$	$0.875$$0$
$9$$9$	$87$$81$
$183$$+3$	$650$$549$
$1865$	$10100$$9325$
	$925$

$\therefore$ The square root of $\frac{7}{8}=0.935$

Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

What is an approximate value of $\sqrt{9805}$?

98.56
97.23
99.05
100.34

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Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

Find the approximate value of $\sqrt{5245}$.

70.5
72.3
71.8
79.2

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Multiple choice maths squares and square roots approximation of square roots estimating square roots square root of non perfect squares

Find the approximate value of $\sqrt{1235}$.

$35.15$
$32.19$
$30.25$
$29.13$

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Multiple choice maths rational and irrational numbers existence of irrational numbers irrational numbers properties of irrational numbers

Value of $\pi$ is equal to (approximately)

$3.41$
$3.14$
$\displaystyle \frac{23}{7}$
$\displaystyle \frac{21}{7}$

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Multiple choice maths equation reducing simple equations to simpler form solving linear equations solution of a linear equation in one variable

Compute the approximate value of $x$: $\sqrt [3]{\dfrac {2x + 3}{5}} = \dfrac {2}{3}$

$-0.76$
$-0.69$
$-0.67$
$0.69$
$0.76$

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Multiple choice maths square root square root of perfect square finding square root of a number square root of a perfect square

Find the square root of decimal 5.76.

$4.2$
$2.4$
$18.4$
$4.23$

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Multiple choice

What approximate value will come in place of the question mark (?) in the following question? (49.99)2 – (8.9)2 – (15.9)2 = ?

2165
2000
1965
1920
1885

Reveal answer Fill a bubble to check yourself

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