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Harry starts from \(A\) at a speed of \(60 \,\text{miles/hr}\) at \(5{:}00\text{ am}\). At \(5{:}30 \text{ am.}\) Jack

Harry starts from \(A\) at a speed of \(60 \,\text{miles/hr}\) at \(5{:}00\text{ am}\). At \(5{:}30 \text{ am.}\) Jack starts from the same point but at the speed of \(90 \,\text{miles/hr}.\) At what time will jack be \(120\) miles, ahead of Harry? A. \(9{:}45 \,\text{am}\) B. \(10{:}30 \,\text{am}\...


Two soldiers started racing from point \(P\) to point \(Q,\) a distance of \(10\) miles. Soldier \(1\) ran the first

Two soldiers started racing from point \(P\) to point \(Q,\) a distance of \(10\) miles. Soldier \(1\) ran the first half of the distance at a constant speed of \(X\) miles per hour and the second half at a constant speed of \(Y\) miles per hour. Soldier \(2\) ran the entire race at a constant speed...


A passenger train leaves a station at a certain time at a fixed speed. After \(6\) hours, an express train leaves the

A passenger train leaves a station at a certain time at a fixed speed. After \(6\) hours, an express train leaves the same station and moves in the same direction at a uniform speed of \(80 \,\text{kmph}.\) This train catches the passenger train in \(6\) hours. Find the speed of the passenger train....


Joern and Bin went on a year-long round-the-world backpacking tour starting January \(1.\) Five days before the trip,

Joern and Bin went on a year-long round-the-world backpacking tour starting January \(1.\) Five days before the trip, each had opened a bank account. Then their insurance companies started to withdraw \(\$300\) from their accounts, respectively, on the first business day of each month. Assuming no o...


Cape Cod Cookies makes cookies of identical size from batches of cookie dough weighing \(600\) ounces. Cape Cod Cookies

Cape Cod Cookies makes cookies of identical size from batches of cookie dough weighing \(600\) ounces. Cape Cod Cookies decides to modify the recipe by decreasing the weight of each cookie by \(1\) ounce. If Cape Cod Cookies discovers that it is now able to make \(30\) more cookies using the same ba...


A hotdog vendor sold \(\$45\) worth of hotdogs at lunchtime Tuesday. Each hotdog cost \(\$1.50.\) What percentage of his

A hotdog vendor sold \(\$45\) worth of hotdogs at lunchtime Tuesday. Each hotdog cost \(\$1.50.\) What percentage of his day’s stock of hotdogs did the vendor sell at lunchtime? 1) The vendor started the day with \(120\) hotdogs 2) The vendor sold twice as many hotdogs at dinnertime as he sold at lu...


During one day, a door-to-door brick salesman sold three fourths of his bricks for \(\$0.25\) each. If he had \(150\)

During one day, a door-to-door brick salesman sold three fourths of his bricks for \(\$0.25\) each. If he had \(150\) bricks left at the end of the day, how much money did he collect for brick sales that day?

A. \(\$12.50\)
B. \(\$37.50\)
C. \(\$50.00\)
D. \(\$112.50\)
E. \(\$150.00\)

OA D


A marble is selected at random from a box of red, yellow, and blue marbles. What is the probability that the marble is

A marble is selected at random from a box of red, yellow, and blue marbles. What is the probability that the marble is yellow?

1) Forty of the marbles are not red

2) Sixty of the marbles are not blue

OA E


In a panel of \(10\) light bulbs, the odds of any light bulb to burn out are \(0.06\) at any given \(10\) minutes.

In a panel of \(10\) light bulbs, the odds of any light bulb to burn out are \(0.06\) at any given \(10\) minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first \(10\) minutes after it was switched on? A....


There are \(c\) chocolate chip cookies and \(r\) oatmeal raisin cookies in a jar. If there are no other cookies in the

There are \(c\) chocolate chip cookies and \(r\) oatmeal raisin cookies in a jar. If there are no other cookies in the jar, is the probability of randomly selecting an oatmeal raisin cookie greater than the probability of selecting a chocolate chip cookie? 1. \(\dfrac{(r^2-rc)}{(r^2-c^2)} > \dfrac{c...


India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points

India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points \(0, 1\) and \(2\) are \(0.45, 0.05\) and \(0.5\) respectively. Assuming that the outcomes are independent, the probability of India getting at least \(7\) points is A. \(0.0625\) B. \...


Sammy has \(x\) flavors of candies with which to make goody bags for Franks birthday party. Sammy tosses out \(y\)

Sammy has \(x\) flavors of candies with which to make goody bags for Franks birthday party. Sammy tosses out \(y\) flavors, because he doesn't like them. How many different \(10\)-flavor bags can Sammy make from the remaining flavors? (It doesn't matter how many candies are in a bag, only how many f...


Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has \(12\) different shirt

Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has \(12\) different shirts, \(10\) different pairs of jeans, and \(8\) pairs of sneakers. If an outfit consists of \(1\) shirt, \(1\) pair of jeans, and \(1\) pair of sneakers, how many different outfits d...


\(64\) candidates are competing for \(5\) positions at a consulting firm. The hiring process consists of \(3\) interview

\(64\) candidates are competing for \(5\) positions at a consulting firm. The hiring process consists of \(3\) interviews. After each interview, \(n\%\) of the remaining candidates will be dismissed. The candidates will be selected from among those who complete all three rounds. Each candidate is eq...


Depending on the night, a pizza restaurant offers anywhere from seven to nine different choices of toppings. Sam wants

Depending on the night, a pizza restaurant offers anywhere from seven to nine different choices of toppings. Sam wants a pizza with three toppings. Which of the following could be the number of different ways that Sam can order his pizza with three different toppings? I. \(42\) II. \(56\) III. \(84\...