GRE Exam Numerical Ability Permutation and Combination

A family consisting of one mother, one father, two daughters and a son is taking a road trip in a sedan. The sedan has two front seats and three back seats. If one of the parents must drive and the two daughters refuse to sit next to each other, how many possible seating arrangements are there?

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GRE Other Question

A boat takes 6 hours to go downstream and takes 8 hours to go the same distance upstream. The speed of the stream is 6 km/hr. Which of the following is/are true? Indicate all correct options.
A) Speed of the boat upstream is 42 km/hr
B) Speed of the boat downstream is 48 km/hr
C) Distance travelled one way is 288 km
D) Distance travelled one way is 28 km
E) Speed of the boat in still water is 42 km/hr
What is the probability that a 3-digit positive integer picked at random will have one or more 7 in its digits?

A. 271/900 B. 27/100 C. 7/25 D. 1/9 E. 1/10