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Packet \(A\) contains a mixture of salt and sugar and Packet \(B\) contains a mixture of salt and pepper. When the

Packet \(A\) contains a mixture of salt and sugar and Packet \(B\) contains a mixture of salt and pepper. When the contents of the two packets are mixed in a bowl, the resultant mixture weighs \(400\) grams and contains \(25\%\) sugar. How many grams of salt are contained in Packet \(B?\) 1) One-thi...


When the speed of a train is increased by \(20\%,\) it takes \(20\) min less to cover the same distance. What is the

When the speed of a train is increased by \(20\%,\) it takes \(20\) min less to cover the same distance. What is the time taken to cover the same distance with the actual speed?

A. \(1\) hour \(10\) min
B. \(1\) hour \(15\) min
C. \(2\) hours
D. \(2\) hour \(50\) min
E. \(3\) hours

OA C


There are two solutions, \(A\) and \(B\) of spirit and water. The ratio of spirit and water in solution \(A\) is

There are two solutions, \(A\) and \(B\) of spirit and water. The ratio of spirit and water in solution \(A\) is \(3{:}4\) and \(4{:}5\) in solution \(B,\) if \(28\) litre of solution is taken from \(A\) and added to Solution \(B,\) what will be the final concentration of spirit in solution \(B.\) 1...


Keiko walks once around a track at exactly the same constant speed every day. The sides of the track are straight, and

Keiko walks once around a track at exactly the same constant speed every day. The sides of the track are straight, and the ends are semicircles. The track has width \(6\) meters, and it takes her \(36\) seconds longer to walk around the outside edge of the track than around the inside edge. What is ...


If each of the segments marked on the board above is of equal length, and if \(x\) and \(y\) represent the indicated

2016-08-31_1640.png If each of the segments marked on the board above is of equal length, and if \(x\) and \(y\) represent the indicated lines on the board, then what is the distance between \(x\) and \(y?\) (There are \(12\) inches in a foot). 1. The board is five feet long 2. \(x\) is \(18\) inch...


At the Gymnastics Club's annual car wash, it takes \(M\) minutes to wash \(C\) cars. At this rate, in terms of \(M,\)

At the Gymnastics Club's annual car wash, it takes \(M\) minutes to wash \(C\) cars. At this rate, in terms of \(M,\) how many hours will it take the club to wash \(5C\) cars?

A. \(M/3\)
B. \(M/5\)
C. \(M/12\)
D. \(3M\)
E. \(5M\)

OA C


The symbol \(\Delta\) represents one of the following operations: addition, subtraction, multiplication, or division.

The symbol \(\Delta\) represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of \(1 \Delta 5?\)

1. \(x \Delta (x \Delta x) = x\) for \(x \neq 0\)
2. \(2 \Delta 2 = 0\)

OA B


\(\dfrac{59.376 * 7.094}{31.492 * 6.429}\) is approximately equal to which of the following?

\(\dfrac{59.376 * 7.094}{31.492 * 6.429}\) is approximately equal to which of the following?

A. \(0.02\)
B. \(0.2\)
C. \(2\)
D. \(20\)
E. \(200\)

OA C


A jar contains exactly \(100\) marbles; each marble contains exactly \(2\) colors. Forty-three of the marbles are

A jar contains exactly \(100\) marbles; each marble contains exactly \(2\) colors. Forty-three of the marbles are part-green and \(21\) of the marbles are part-red. If \(3\) marbles are to be selected at random, what is the probability that at least \(2\) of them contain no blue? 1. \(61\) of the ma...


A point is randomly chosen inside the unit square \(ABCD\) such that angle \(APB\) is equal to \(x.\) What is the

A point is randomly chosen inside the unit square \(ABCD\) such that angle \(APB\) is equal to \(x.\) What is the probability that angle \(x\) is obtuse?

A. \(0.1\)
B. \(0.2\)
C. \(0.3\)
D. \(0.4\)
E. \(0.5\)

OA D


A class contains boys and girls. What is the probability of selecting a boy from a class?

A class contains boys and girls. What is the probability of selecting a boy from a class?

1) There are \(35\) students in the class

2) The ratio of boys to girls is \(3{:}4\)

OA B


Cena has a bag of \(6\) candies, \(4\) of which are sweet \(\&\) \(2\) of which are sour. Cena picks two candies

Cena has a bag of \(6\) candies, \(4\) of which are sweet \(\&\) \(2\) of which are sour. Cena picks two candies simultaneously \(\&\) at random. What is the chance that exactly \(1\) of the candies he has picked is sour?

A. \(3/5\)
B. \(7/18\)
C. \(8/15\)
D. \(4/10\)
E. \(5/12\)

OA C


If \(n\) is a positive integer, which of the following must be even?

If \(n\) is a positive integer, which of the following must be even?

A. \((n − 1)( n + 1)\)
B. \((n − 2)( n + 1)\)
C. \((n − 2)( n + 4)\)
D. \((n − 3)( n + 1)\)
E. \((n − 3)( n + 5)\)

OA B


If \(x\) is an integer, which of the following must be an even integer?

If \(x\) is an integer, which of the following must be an even integer?

A. \((x+1)^2\)
B. \((x+1)(x+2)\)
C. \((x+1)(x+3)\)
D. \((x+2)^2\)
E. \((x+2)(x+4)\)

OA B