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Decimal Fractions

1.

(i) 6202.5 + 620.25 + 62.025 + 6.2025 + 0.62025

(ii) 5.064 + 3.98 + 0.7036 + 7.6 + 0.3 + 2

Answer: D

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2.

\(3889 + 12.952 - ? = 3854.002\)

Answer: D

Let \(3889 + 12.952 - x = 3854.002\)
Then,
\(x = (3889 + 12.952) - 3854.002\\ = 3901.952 - 3854.002\\ = 47.95\)

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3.

Which of the following fractions is less than 7/8 and greater than 1/3 ?

Answer: A

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4.

Convert the following into vulgar fraction: (i)0.75(ii)3.004(iii)0.0056

Answer: C

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5.

Evaluate: \(\dfrac{3.8^2 - 1.2^2}{3.8 - 1.2}\)

Answer: D

\(a^2 - b^2 = (a - b)(a + b)\)
\(\dfrac{3.8^2 - 1.2^2}{3.8 - 1.2} \\~\\= \dfrac{(3.8 + 1.2)(3.8 - 1.2)}{(3.8 - 1.2)}\\~\\ = 3.8 + 1.2 \\~\\= 5\)

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6.

What is difference between biggest and smallest fraction among \(\dfrac 23, \dfrac 34, \dfrac 45\) and \(\dfrac 56\) ?

Answer: C

\(\dfrac 23=0.66\\ \dfrac 34=0.75\\ \dfrac 45=0.8\\ \dfrac 56=0.833\)

So biggest is \(\dfrac 56\) and smallest is \(\dfrac 23\)
Their difference is \(\dfrac 56 - \dfrac 23 = \dfrac 16\)

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7.

The [removed]11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:

Answer: C

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8.

The [removed]11.98*11.98+11.98*x+0.02*0.02) will be a perfect square for x equal to:

Answer: A

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9.

4211.01 + 22.261 - ? = 2645.759

Answer: A

Required Value
\(= 4211.01 + 22.261 - 2645.759\)
\(= 1587.512\)

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Answer: C

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