Ejercicios razonamiento cuantitativo GMAT GRE SAT, en inglés.

Ejercicios razonamiento cuantitativo GMAT GRE SAT, en inglés.

By Claudio Hurtado Tutor personal GMAT. GRE, SAT +56937780070

📘 21 Practice Quantitative Reasoning Exercises ( Multiple Choice)

21 Ejercicios de Razonamiento Cuantitativo GMAT GRE SAT

1. In the sequence a₁, a₂, a₃, …, the terms satisfy aᵢ₊₂ = 2aᵢ₊₁ + 3aᵢ. If a₃ = 12 and a₅ = 60, what is the value of a₄?
   A) 10
   B) 12
   C) 18
   D) 24
   E) 30
2. Last year, a cleaning service charged $80 for setup and $25 per hour. This year, it charges $40 for setup and $45 per hour. Which expression represents the percentage change?
   A) (200(x-2))/(25x+80)%
   B) (100(x-2))/(25x+80)%
   C) (45x-25x)/80%
   D) (40x-80)/(25x+40)%
   E) 200/(x+4)%
3. Maria has $72 in $1 and $5 bills. Which of the following cannot be the number of $1 bills?
   A) 12
   B) 18
   C) 22
   D) 27
   E) 32
4. If 10^(k-1) < 0.00032 < 10^k, what is k?
   A) -5
   B) -4
   C) -3
   D) -2
   E) -1
5. If x = -1 and n is the sum of the first 300 primes, evaluate x + x^n + x^(n+1) + x^(n+2).
   A) -4
   B) -2
   C) 0
   D) 2
   E) 4
6. Rule of 72: John invests $5000 at 6%. When doubled, reinvests at 9%. After how many years will he have $20,000?
   A) 12
   B) 15
   C) 18
   D) 21
   E) 24
7. Find the harmonic mean of 3, 6, 9, 18.
   A) 3
   B) 4
   C) 5
   D) 6
   E) 9
8. A pipe fills a tank in 90 min, another in 180 min. Together?
   A) 45
   B) 60
   C) 75
   D) 90
   E) 120
9. Which expression equals 0 if x<0 and x² if x≥0?
   A) x+|x|
   B) (x+|x|)²/4
   C) x|x|
   D) (x-|x|)²
   E) |x|²
10. Of 250 bookstores, 80% sell textbooks, 30% magazines. If n sell both, possible values?
    A) 20–75
    B) 30–75
    C) 55–75
    D) 75–80
    E) 75–100
11. Program P allocation: 400 million of 2 trillion. Percent?
    A) 0.02%
    B) 0.2%
    C) 2%
    D) 20%
    E) 0.002%
12. If y=1/x, express z=(x+1)/(y+1).
    A) 1
    B) x
    C) x+1
    D) x+2
    E) x/(x+1)
13. Survey: 60% low cost, 50% fast, 40% easy. 25% both low cost & fast. Max easy only?
    A) 300
    B) 360
    C) 420
    D) 480
    E) 540
14. Runner: 30 km at 60 km/h, return at 20 km/h. Average speed?
    A) 24
    B) 27
    C) 30
    D) 33
    E) 36
15. If f(x)=1/x, find f(f(4)+f(6)).
    A) 2/5
    B) 5/2
    C) 10/9
    D) 9/10
    E) 6/5
16. Steps: multiply x by 2, sqrt, reciprocal, add 1, square. Equivalent?
    A) (1+1/√2x)²
    B) (1+√2x)²
    C) (1+2x)²
    D) (1+1/x)²
    E) (1+2/√x)²
17. Train A–B at 60 mph, B–C at 75 mph. A–B was 120 miles longer and 2 hours more. Hours A–B?
    A) 4
    B) 5
    C) 6
    D) 7
    E) 8
18. Codes with digits 2,2,4,7. How many distinct?
    A) 6
    B) 12
    C) 18
    D) 24
    E) 36
19. Survey: 70% buy X, 55% buy Y, 25% neither. Percent both?
    A) 40
    B) 45
    C) 50
    D) 55
    E) 60
20. Rope 20m cut: short = 2/3 long. Short length?
    A) 6
    B) 8
    C) 10
    D) 12
    E) 14
21. Smallest n such that 180n is a perfect square?
    A) 5
    B) 9
    C) 20
    D) 45
    E) 180

Clavijero de Respuestas

1. B
2. A
3. B
4. C
5. B
6. B
7. D
8. B
9. B
10. B
11. A
12. B
13. C
14. C
15. B
16. A
17. C
18. B
19. C
20. B
21. A

Si quieres explicación paso a paso de todos los 21 ejercicios, comenta este artículo, publicando al menos la solución a uno de los 21 ejercicios. Saludos Claudio Hurtado Tutor personal GMAT QUANT, GRE QUANT, SAT QUANT +56937780070