Logo
    Logo

    Subject

    Quantitative Aptitude

    Topic

    Simplification

    Find the value of x in the following expression: 56÷67×x−89÷135+34×313=279\frac{5}{6} \div \frac{6}{7} \times x - \frac{8}{9} \div 1\frac{3}{5} + \frac{3}{4} \times 3\frac{1}{3} = 2\frac{7}{9}

    ক)
    4/7
    খ)
    5/7
    গ)
    6/7
    ঘ)
    2/7
    ঙ)
    None of these

    Explanation

    Follow BODMAS rule to solve this question, as per the order given below, Step-1-Parts of an equation enclosed in 'Brackets' must be solved first, Step-2-Any mathematical 'Of' or 'Exponent' must be solved next, Step-3-Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated, Step-4-Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated. Given expression: 56÷67×x−89÷135+34×313=279⇒56÷67×x−89÷5×1+35+34×3×3+13=9×2+79⇒56÷67×x−89÷85+34×103=259⇒(56×76)×x−(89×58)+34×103=259⇒3536×x−59+52=259⇒3536×x−(10−4518)=259⇒3536×x+3518=259⇒3536×x=259−3518⇒3536×x=50−3518⇒3536×x=1518⇒x=1518×3635⇒x=67\begin{array}{l} \frac{5}{6} \div \frac{6}{7} \times x - \frac{8}{9} \div 1\frac{3}{5} + \frac{3}{4} \times 3\frac{1}{3} = 2\frac{7}{9}\\ \Rightarrow \frac{5}{6} \div \frac{6}{7} \times x - \frac{8}{9} \div \frac{{5 \times 1 + 3}}{5} + \frac{3}{4} \times \frac{{3 \times 3 + 1}}{3} = \frac{{9 \times 2 + 7}}{9}\\ \Rightarrow \frac{5}{6} \div \frac{6}{7} \times x - \frac{8}{9} \div \frac{8}{5} + \frac{3}{4} \times \frac{{10}}{3} = \frac{{25}}{9}\\ \Rightarrow \left( {\frac{5}{6} \times \frac{7}{6}} \right) \times x - \left( {\frac{8}{9} \times \frac{5}{8}} \right) + \frac{3}{4} \times \frac{{10}}{3} = \frac{{25}}{9}\\ \Rightarrow \frac{{35}}{{36}} \times x - \frac{5}{9} + \frac{5}{2} = \frac{{25}}{9}\\ \Rightarrow \frac{{35}}{{36}} \times x - \left( {\frac{{10 - 45}}{{18}}} \right) = \frac{{25}}{9}\\ \Rightarrow \frac{{35}}{{36}} \times x + \frac{{35}}{{18}} = \frac{{25}}{9}\\ \Rightarrow \frac{{35}}{{36}} \times x = \frac{{25}}{9} - \frac{{35}}{{18}}\\ \Rightarrow \frac{{35}}{{36}} \times x = \frac{{50 - 35}}{{18}}\\ \Rightarrow \frac{{35}}{{36}} \times x = \frac{{15}}{{18}}\\ \Rightarrow x = \frac{{15}}{{18}} \times \frac{{36}}{{35}}\\ \Rightarrow x = \frac{6}{7} \end{array}

    Related questions

    The difference of 1 (3/16) and its reciprocal is equal toWhat should come in place of question mark (?) in the following question?  (43% of 2750) – (38% of 2990) =?How many (1/8)s are there in 37 (1/2)?If x=(1.96)−(0.04)x = \sqrt {\left( {1.96} \right)} - \sqrt {\left( {0.04} \right)} then the value of x isFind the value -2+(-2)-{-(2)}-2Let a = (4 ÷ 3) ÷ 3 ÷ 4, b = 4 ÷ (3 ÷ 3) ÷ 4, c = 4 ÷ 3 ÷ (3 ÷ 4). The maximum value among the above three isWhat will come in place of the question mark (?) in the following equation? 160 km 80 m ÷ 6 = ?If I = (3/4) ÷ (5/6), II = 3 ÷ [(4 ÷ 5) ÷ 6], III = [3 ÷ (4 ÷ 5)] ÷ 6, IV = 3 ÷ 4 ÷ (5 ÷ 6), then

    Find Tutors

    View all Tutors