Welcome to your QM2. Math Quiz 02

The ratio of two number is 3:4 and their H.C.F. is 4 and L.C.M. is

A does half as much work as B in three fourth of the time. If together they take 18 days to complete a work, how much time shall B take to do it?
If (x-1)2 = 400, which of the following could be the value of x – 5?
A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the border is 144 square inches, what is the width of the border, in inches?
If x, y, and z are positive integers such that x < y < z and x + y + z = 6, then what is the value of z?

If p and q are both positive integers such that p/9 + q/10 is also an integer, then which one of the following numbers could p equal?

If a3 + a2 – a – 1 = 0, then which one of the following could be the value of a?
The remainder is 57 when a number is divided by 10,000. What is the remainder when the same number is divided by 1,000?
How many numbers between 100 and 300, inclusive, are multiples of both 5 and 6?
Two sides of a triangle measure 4 and 12. Which one of the following could equal the length of the third side?
40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is $390. The annual income of each executive is $420. What is the average annual income of all the employees in the factory together?
If 7 workers can assemble a car in 8 hours, how long would it take 12 workers to assemble the same car?
Selling 12 candies at a price of $10 yields a loss of a%. Selling 12 candies at a price of $12 yields a profit of a%. What is the value of a?
Two people start jogging at the same point and time but in opposite directions. If the rate of one jogger is 2 mph faster than the other and after 3 hours they are 30 miles apart, what is the rate of the faster jogger?
One ton has 2000 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
In sequence S, the 3rd term is 4, the 2nd term is three times the 1st, and the 3rd term is four times the 2nd. What is the 1st term in sequence S?
A set has exactly five consecutive positive integers starting with 1. What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set?
If n is a positive integer and (n + 1)(n + 3) is odd, then (n + 2)(n + 4) must be a multiple of which one of the following?
The length of a rectangular banner is 3 feet 2 inches, and the width is 2 feet 4 inches. Which one of the following equals the area of the banner?
If (a + 2)(a – 3)(a + 4) = 0 and a > 0, then a =