C-11-Q153: If $\dfrac{x}{p+q} = \dfrac{y}{q+r} = \dfrac{z}{r+p}$, then by the sum… | প্রশ্ন করি

হোম›নবম-দশম শ্রেণি›English Version›Mathematics›Algebraic Ratio and Proportion›C-11-Q153

C-11-Q153mediumsingle_mcq

If $\dfrac{x}{p+q} = \dfrac{y}{q+r} = \dfrac{z}{r+p}$ , then by the sum rule each ratio equals—

a $\dfrac{x+y+z}{2(p+q+r)}$

ব্যাখ্যা

By the addition property of equal ratios, each ratio equals the sum of numerators over the sum of denominators. The denominators add to $(p+q)+(q+r)+(r+p) = 2(p+q+r)$ , giving .

153/180

এই অধ্যায়ের আরও প্রশ্ন

C-11-Q154If and , then—
C-11-Q155If a rectangular solid has its height reduced by , the volume decreases by—
C-11-Q156If a product is sold at profit, the ratio of selling price to cost price is—
C-11-Q157If sides of a square double, the area becomes how many times the original?
C-11-Q158If are continued proportional, which combination is correct?
C-11-Q159Sides of triangle in ratio , perimeter cm. Difference between largest and smallest sides is—
C-11-Q160The same triangle in cm² has area—
C-11-Q161A product is bought for Tk. and sold at loss. Ratio of selling price to cost price is—
C-11-Q162

\dfrac{1}{3}

0

1

)

2(p+

\dfrac{x+y+z}{2(p+q+r)}

Ratio of absent to present students is . If originally absent students had been present, the ratio would have

C-11-Q163If the ratio of two numbers is and their H.C.F. is , the L.C.M. of the numbers is—

Algebraic Ratio and Proportion — সব প্রশ্ন দেখুন (180টি) →

If xp+q=yq+r=zr+p\dfrac{x}{p+q} = \dfrac{y}{q+r} = \dfrac{z}{r+p}p+qx​=q+ry​=r+pz​, then by the sum rule each ratio equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If $\dfrac{x}{p+q} = \dfrac{y}{q+r} = \dfrac{z}{r+p}$ , then by the sum rule each ratio equals—