Q1: A] denotes the product of all the even numbers less than A, for example, [A]=2*4*6*8. What is the greatest prime factor of the number [22]+[24]?
Quickest way of solving such problems?
Q2: A kind of telephone exchange can provide 7-digit telephone number which first 3 digits are fixed, for example, 921xxxx. What is the minimum possible numbers required by exchange to generate 282000 numbers?
28, 29, 280, 282, 290
Q3: What is the median of the 15 consecutive integers?
1) The median of the first 7 numbers is 15
2) The median of the latter 7 numbers is 17
Q4: x^2 +2qx+ r =0 , ask for the numbers of intersection with X-axis.
1) q^2>r
2) r^2>q
Q4: 2 black-white TV sets and 6 color sets. Without replacement, 2 sets are selected randomly. What is the probability that at least 1 set is black-white?
1/4, 1/5, 1/8, 11/28, 13/28
Q5: There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
120 720 1,060 1,520 1,980
Q6: R and s is tens' digit of x and y, respectively. Is r
1) x
2) 10
Q7: m>0, n>0. m*n=?
1) 4^m=2^n
2) 2^m=3^n