The HCF of two numbers is 11, and their L.C.M is 368. If one number is 64, then the other

number is ….

Ans:

3. If the mean of 5 positive integers is 15, what is the maximum possible difference between

the largest and the smallest of these 5 numbers?

Ans:

4. In the Department of Natural Sciences, 14 faculty members have a PhD, and 30 faculty

members do not have a PhD. In the Department, the number of female faculty who do not

have a PhD is 10 more than the number of females who have a PhD. If a third of the male

faculty in the Department have a PhD, then what is the number of female faculty in the

Department with a PhD?

Ans:

5. Abena travelled 40% of the distance of her trip alone, went another 35 miles with Saralyn,

and then finished the last half of the journey alone. How many miles long was the journey?

Ans: miles

6. The mean of the data set {9,5, , 2, } is twice the data set {8, , 4,1,3}. What is ( − )

2

?​