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Standard VII

Mathematics

Number Properties (Language)

General form ...

Question

General form of a three-digit number pqr is ______

3 x p + 2 x q + r

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2 x p + 1 x q + r

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100 x p + 10 x q + r

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100 x p + 10 x r + q

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Solution

The correct option is C 100 x p + 10 x q + r

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Similar questions

p (x) = x^{2} - 3 x + 2, q (x) = 3 x + 1

(a) Find

p (x) + q (x)

(b) If

p (x) + q (x) + r (x) = 0

, find

r (x)

.
(c) What number is

p (1) + q (1) + r (1)

Q. If

y = \frac{1}{1 + x^{q - p} + x^{r - p}} + \frac{1}{1 + x^{r - q} + x^{p - q}} + \frac{1}{1 + x^{p - r} + x^{q - r}}

then

\frac{d y}{d x} =

Q. Solve for x:

\frac{p + q - x}{r} + \frac{q + r - x}{p} + \frac{r + p - x}{q} + \frac{4 x}{p + q + r}

Now for each pair of polynomials p(x) and q(x) given below, find p(x) + q(x) and p(x) − q(x). Also compute p(1) + q(1) and p(1) − q(1) for each.

(i)

(ii)

(iii)

(iv)

(v)

If every pair of the equations $x^{2} + p x + q r = 0, x^{2} + q x + r p = 0, x^{2} + r x + p q = 0$ have a common root, then the sum of three common roots is

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