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Comparing Quantities : Introduction

If 4 : 6 : : ...

Question

If 4 : 6 : : 8 : d, then find d.

A

10

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B

12

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C

8

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D

14

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Solution

The correct option is B 12
Given proportion, 4 : 6 :: 8 : d
We know
Product of means = Product of extremes
$∴$ 6 $\times$ 8 = 4 $\times$ d
$\Rightarrow$ d = $\frac{48}{4}$
$\Rightarrow$ d = 12

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Similar questions

Q. If 4 : 6 : : 8 : d, then find d.

Q. If 4 : 6 : : 8 : d, then find d.

Q. Find the order and degree of the differential equation

{(\frac{d^{4} y}{d x^{4}})}^{3 / 5} - 5 \frac{d^{3} y}{d x^{3}} + 6 \frac{d^{2} y}{d x^{2}} - 8 \frac{d y}{d x} + 5 = 0

If $\frac{4 x + 8}{5 x + 8} = \frac{5}{6}$ , then x = ?

(a) 4

(b) 6

(c) 8

(d) 12

Q. One of these six people has murdered one of the others. Each has made 3 statements. The murderer has made 3 errors. The victim has made zero errors. The other suspects have made one or two errors. Find out who the murderer is and who the victim is.
Catwoman says.
1) If

y = x^{5} t h e n \frac{d y}{d x} = 5 x^{4}

y = 2 x^{3} + 3 x^{5}, t h e n \frac{d y}{d x} = 6 x + 15 x^{4}

y = 2 x^{3},

then gradient is 6 at (2, 16)

Bane says
1) If

A = 4 π r^{2}, t h e n \frac{d A}{d r} = 8 π r

A = 4 x^{10} t h e n \frac{d y}{d x} = 40 x^{10}

A = 7 x, t h e n \frac{d y}{d x} = 7

Joker says
1) If

y = x^{5}, t h e n \frac{d y}{d x} = 5 x^{5}

y = \sqrt{x}, t h e n \frac{d y}{d x} = \frac{1}{2} x

y = 2 x^{2},

then the gradient is 6 at (3, 18)

Poison Ivy says
1) If

A = 4 π r^{2}, t h e n \frac{d A}{d r} = 8 r

A = 4 x^{10} t h e n \frac{d y}{d x} = 40 x^{11}

y = 7 x + 2, t h e n \frac{d y}{d x} = 7

The Scare crow says
If

y = 3 x^{11}, t h e n \frac{d y}{d x} = 33 x^{10}

y = 3 x^{2} + 6 x + 6, t h e n \frac{d y}{d x} = 6 x + 6

The gradient of

x^{2} + 3 x + 3 i s 9 w h e n x = 3

Harley Quinn say
The gradient of

y = x^{3} + x^{2} + 3 x i s 10 w h e n x = 2

y = 2 x^{3},

then gradient is 24 at (2, 16)
If

y = 2 x^{2},

then gradient is 12 at (3, 18)

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