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Question

What is the value of (3.6 × 1.62 + 0.48 × 3.6) / (1.8 × 0.8 + 10.8 × 0.3 - 2.16)?

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

3

Numerator — factor 3.6:

\[3.6\times 1.62+0.48\times 3.6=3.6(1.62+0.48)=3.6\times 2.1=7.56\]

Denominator:

\[1.8\times 0.8+10.8\times 0.3-2.16=1.44+3.24-2.16=2.52\]

Therefore \(\dfrac{7.56}{2.52}=\mathbf{3}\).

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Similar Questions

  1. Simplify the expression 441 ÷  \(\left[270 \div \frac{3}{7}+\left(17\div \frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]\)

  2. If the sum of two positive numbers is 65 and the square root of their product is 26, then the sum of their reciprocals is:

  3. Simplify the following expression.

    \([\frac{85}{34}\times \frac{1}{18}- \{(\frac{46}{69}\div\frac{27}{135})-(\frac{86}{129}\div\frac{14}{91})\}\ of \frac{112}{36}]\)

  4. What is the value of \(\rm \frac{X}{Y}\) if \(\rm \frac{X-5Y}{X+5Y}=\frac{7}{13}\).

  5. The value of \(9 \div [\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{6}\div(\frac{3}{4}-\frac{1}{3})\;of\;\frac{2}{9}]\)  is:

  6. Simplify the following expression:

    \(\rm \frac{7}{12} \div \frac{1}{10} \ of \ \frac{2}{3} - \frac{5}{3} \times \frac{9}{10} + \frac{5}{8} \div \frac{3}{4} \ of \ \frac{2}{3}\)

  7. value of   \(3\frac{5}{6}+\left[3\frac{2}{3}+\lbrace{\frac{15}{4}\left(5\frac{4}{5}\div 14\frac{1}{2}\right)\rbrace}\right]\) is equal to:

  8. Three fractions x, y and z are such that x > y > z. When the smallest of them is divided by the greatest, the result is \({\frac{9}{16}}\) , which exceeds y by 0.0625. If x + y + z =  \(2{\frac{3}{12}}\) , then what is the value of x + z?

  9. The value of \(\frac{46+\frac{3}{4} \ \text{of}\ 32-6}{37-\frac{3}{4} \ \text{of}\ (34+6)}\) is:
  10. Raju ate \(\frac{3}{8}\)  part of a pizza and Adam ate  \(\frac{3}{10}\) part of the remaining pizza. Then Renu ate  \(\frac{4}{7}\)  part of the pizza that was left. What fraction of the pizza is still left?


Important Questions from Fractions

  1. 5 \(\frac{3}{4}\) + x + 2  \(\frac{1}{2}\) = 10  \(\frac{1}{8}\) Find the value of x.

  2. Simplify the expression 441 ÷  \(\left[270 \div \frac{3}{7}+\left(17\div \frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]\)

  3. Number 0.232323 can be written in rational form as:

  4. Solve: \(\frac{1}{2}\)  [{-2(2 + 3)*20}/2]

  5. Match the following.

    Column I

    Column II

    a.

    Equivalent fraction of \(\frac{7}{12}\)  is  

    i.

    Proper fraction

    b.

    Equivalent fraction of  \(\frac{9}{15}\)  is

    ii.

    Improper fraction

    c.

    \(\frac{7}{11}\)  is

    iii.

    \(\frac{21}{36}\)

    d.

    \(\frac{19}{5}\)  is

    iv.

    \(\frac{3}{5}\)

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