Given- 5-2 x -7-2 x -56-2 xFind -a- when 2 a -3-3 x -4-1A- -5B- -51 - 8C- 43 - 8D- 30 - 7E- -26 - 7

The correct option is B 51/8 5/2x+7/2x=56 2x ⇒5/2x+7/2x+2x=56 ⇒5x+7x+4x/2=56 ⇒ 16x=56×2 ⇒ x=56×2/16=7 Now, 2a/3=1 3x/4 ⇒2a/3=1 3×7/4 ⇒2a/3=4 21/4= 17/4 ⇒ 8a ...

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Quantitative Aptitude

Permutation

Given, 5/2 x ...

Question

Given, $\frac{5}{2} x + \frac{7}{2} x = 56 - 2 x$
Find 'a' when $\frac{2 a}{3} + \frac{3 x}{4} = 1$

-5

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-51/8

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43/8

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30/7

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-26/7

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Solution

The correct option is B
-51/8

$\frac{5}{2} x + \frac{7}{2} x = 56 - 2 x \Rightarrow \frac{5}{2} x + \frac{7}{2} x + 2 x = 56 \Rightarrow \frac{5 x + 7 x + 4 x}{2} = 56 \Rightarrow 16 x = 56 \times 2 \Rightarrow x = \frac{56 \times 2}{16} = 7 N o w, \frac{2 a}{3} = 1 - \frac{3 x}{4} \Rightarrow \frac{2 a}{3} = 1 - \frac{3 \times 7}{4} \Rightarrow \frac{2 a}{3} = \frac{4 - 21}{4} = - \frac{17}{4} \Rightarrow 8 a = - 51 \Rightarrow a = \frac{- 51}{8}$

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Similar questions

$\frac{5}{2} x + \frac{7}{2} x = 56 - 2 x, find 'a' when \frac{2 a}{3} + \frac{3 x}{4} = 1$

Question 39

In the given figure (Q .No. 37) which of the following is true?
(a) $∠ 1 = ∠ 5$
(b) $∠ 4 = ∠ 8$
(c) $∠ 5 = ∠ 8$
(d) $∠ 3 = ∠ 7$

Q. If

A = \frac{{3 x}^{4}}{4} - \frac{x^{4}}{2} + 5 x - 7; B = \frac{{2 x}^{3}}{3} + \frac{{3 x}^{3}}{2} - \frac{x}{6}; C = \frac{{2 x}^{4}}{3} - \frac{{3 x}^{4}}{4} + 5

Find

- 2 A + 6 B + 3 C

Q. Simplify the followings:
(a)

\frac{3}{7} \times \frac{2}{5}

(b)

\frac{4}{9} \times \frac{3}{5}

(c)

\frac{5}{12} \times 8

(d)

\frac{7}{6} o f \frac{3}{14}

(e)

3 \frac{3}{8} \times 3 \frac{6}{7}

Q. Solve the equation:
(i) 3x = 51
(ii) 3x – 8 = 7 – 2x.

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Given, 52x+72x=56−2x Find 'a' when 2a3+3x4=1

The correct option is B -51/8 52x+72x=56−2x⇒52x+72x+2x=56⇒5x+7x+4x2=56⇒16x=56×2⇒x=56×216=7Now, 2a3=1−3x4⇒2a3=1−3×74⇒2a3=4−214=−174⇒8a=−51⇒a=−518

Given, $\frac{5}{2} x + \frac{7}{2} x = 56 - 2 x$
Find 'a' when $\frac{2 a}{3} + \frac{3 x}{4} = 1$