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Examen de Lógica Matemática

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Secuencias, geometría y álgebra

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Nicaragua

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Examen de Lógica Matemática
 

Examen de Lógica MatemáticaOnline version

Secuencias, geometría y álgebra

by Ariel Obando
1

Secuencia: 2, 4, 8, 16, ?

2

Secuencia: 1, 4, 9, 16, ?

3

Geometría: área de un triángulo con base 6 y altura 4

4

Acertijo: cinco máquinas hacen cinco widgets en cinco minutos. ¿Cuántos widgets en cinco minutos con las mismas máquinas?

5

Álgebra: resuelve 2x + 3 = 11

6

Álgebra: si y = 2x y x = 3, ¿y vale?

7

Geometría: diagonal de un cuadrado de lado 5

8

Secuencia aritmética: 3, 7, 11, 15, ?

9

Matemática básica: ¿qué número está entre 8 y 12?

10

Lógica/Geometría: ¿Las rectas paralelas se cortan?

Explicación

La secuencia multiplica por 2 cada vez; 16×2=32.

Son los números cuadrados: 1^2, 2^2, 3^2, 4^2, 5^2.

Área = base × altura / 2 = 6×4/2 = 12.

Cada máquina tarda cinco minutos en hacer un widget, por lo que en cinco minutos se hacen 5 widgets.

2x = 8 → x = 4.

Sustituyendo: y = 2×3 = 6.

La diagonal d = lado · √2 = 5√2.

La diferencia es constante: +4.

El número que está en medio es 10.

Por definición, las rectas paralelas no se cortan.

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