Given that -x-1nx-12 x-3-p n4-q n3-r n2-7-3 n-s- theni p-1-2- q-8-3 ii p-1-3- q-1-4 iii r-9-2- s-0 iv r-5-6- s-0

The correct option is C I and III only Put n = 1, x = 1 Then LHS = (1+1)× (2+3) = 10 RHS = p + q + r + 7/3+s should = 10 Plug in all possible answer values Op ...

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Quantitative Aptitude

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Given that ∑x...

Question

Given that $n \sum x = 1$ (x+1)(2x+3) = $p n^{4} + q n^{3} + r n^{2} + \frac{7}{3} n + s$ , then

$i) p = \frac{1}{2}, q = \frac{8}{3} i i) p = \frac{1}{3}, q = \frac{1}{4} i i i) r = \frac{9}{2}, s = 0 i v) r = \frac{5}{6}, s = 0$

I and IV only

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II and III only

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I and III only

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I,II,III,IV

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Solution

The correct option is C
I and III only

Put n = 1, x = 1
Then LHS = (1+1) $\times$ (2+3) = 10
RHS = $p + q + r + \frac{7}{3} + s$ should = 10
Plug in all possible answer values
Options I and III give the right answer as $\frac{1}{2} + \frac{8}{3} + \frac{9}{2} + \frac{7}{3} = 10$

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Similar questions

To plot the graphs of the following equations:
Equation 1: $3 x + 2 y = 1$
Equation 2: $y - 2 x = 2$
Fill in the values (p, q, r, s) in the given tables.
Equation 1:
$\begin{matrix} x & 0 & 5 y & p & q \end{matrix}$
Equation 2:
$\begin{matrix} x & r & s y & 0 & 5 \end{matrix}$

Q. Match the following (a > 0)
(1) | x|

\leq

a (P) -a

\leq

\leq

a
(2) | x|

\geq

a (Q) x

\leq

-a or x

\geq

a
(3) | x| - a = 0 (R) x = a or x = -a
(4)

| x - a |

= 0 (S) x = a
(5)

x^{2}

\leq

a^{2}

Let A = {p. q, r, s} and B = {1, 2, 3}. Which of the following relations from A to B is not a function?
(i) $R_{1} = {(p, 1), (q, 2), (r, 1), (s, 2)}$
(ii) $R_{2} = {(p, 1), (q, 1), (r, 1), (s, 1)}$
(iii) $R_{3} = {(p, 1), (q, 2), (r, 1), (s, 2)}$
(iv) $R_{4} = {(p, 2), (q, 3), (r, 2), (s, 2)}$

Match the four starting meterials (P, Q, R, S) given in List – I with the corresponding reaction schemes
(I, II, III, IV) provided in List – II and select the correct answer using the code given below the lists.

You have been asked to plot graphs of the following equations:
Equation 1: $3 x + 2 y = 1$
Equation 2: $y - 2 x = 2$
Fill the following tables (find p, q, r, s) which you will use to plot the graphs:
Equation 1:
$\begin{matrix} x & 0 & 5 y & p & q \end{matrix}$
Equation 2:
$\begin{matrix} x & r & s y & 0 & 5 \end{matrix}$

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Given that n∑x=1(x+1)(2x+3) = pn4+qn3+rn2+73n+s, then i)p=12,q=83 ii)p=13,q=14 iii)r=92,s=0 iv)r=56,s=0

The correct option is C I and III only Put n = 1, x = 1 Then LHS = (1+1)× (2+3) = 10 RHS = p+q+r+73+s should = 10 Plug in all possible answer values Options I and III give the right answer as 12+83+92+73=10

Given that $n \sum x = 1$ (x+1)(2x+3) = $p n^{4} + q n^{3} + r n^{2} + \frac{7}{3} n + s$ , then

$i) p = \frac{1}{2}, q = \frac{8}{3} i i) p = \frac{1}{3}, q = \frac{1}{4} i i i) r = \frac{9}{2}, s = 0 i v) r = \frac{5}{6}, s = 0$

The correct option is C
I and III only

Put n = 1, x = 1
Then LHS = (1+1) $\times$ (2+3) = 10
RHS = $p + q + r + \frac{7}{3} + s$ should = 10
Plug in all possible answer values
Options I and III give the right answer as $\frac{1}{2} + \frac{8}{3} + \frac{9}{2} + \frac{7}{3} = 10$