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Soni and Misha are exchanging stamps with each other. At the start, Soni has \(12\) stamps of type \(X\) and \(15\)

Soni and Misha are exchanging stamps with each other. At the start, Soni has \(12\) stamps of type \(X\) and \(15\) stamps of type \(Y\) while Misha has \(20\) stamps of type \(X\) and \(10\) stamps of type \(Y.\) They have no other stamps of any other type with them apart from these. After the exch...


\(K\)-numbers are positive integers with only \(2\)'s as their digits. For example, \(2, 22,\) and \(222\) are \(K\)

\(K\)-numbers are positive integers with only \(2\)'s as their digits. For example, \(2, 22,\) and \(222\) are \(K\)-numbers. The \(K\)-weight of a number \(n\) is the minimum number of \(K\)-numbers that must be added together to equal \(n.\) For example, the \(K\)-weight of \(50\) is \(5,\) becaus...


A shop sells small photo frames for \(\$10\) a piece, and large photo frames for \(\$18\) a piece. Martha bought a total

A shop sells small photo frames for \(\$10\) a piece, and large photo frames for \(\$18\) a piece. Martha bought a total of \(15\) photo frames from this shop. How many of these \(15\) were small photo frames? 1) She paid a total of \(\$214\) for the photo frames 2) Ratio of number of small photo fr...


A businessman earns \(\$27800\) in December, thus decreasing his average annual (Januaru to December) earnings by

A businessman earns \(\$27800\) in December, thus decreasing his average annual (January to December) earnings by \(\$1200.\) His annual earnings would be

A. \(\$29000\)
B. \(\$33500\)
C. \(\$40200\)
D. \(\$41000\)
E. \(\$42300\)

The OA is D


A furniture store reduces the retail price of a sofa from \(\$800\) to \(\$600.\) By what percent is the price of the

A furniture store reduces the retail price of a sofa from \(\$800\) to \(\$600.\) By what percent is the price of the sofa reduced?

A. \(25\%\)
B. \(30\%\)
C. \(35\%\)
D. \(60\%\)
E. \(75\%\)

The OA is A


A man took a loan under simple interest. What was the rate of interest?

A man took a loan under simple interest. What was the rate of interest?

1) The number of years for which the loan was taken was the same as the rate of interest

2) The final value of the loan after the duration of loan was \(9\) percent higher than the amount taken as loan

The OA is C


The enrollment at a middle school increased by \(15\) percent from the previous year. If the school’s present enrollment

The enrollment at a middle school increased by \(15\) percent from the previous year. If the school’s present enrollment is \(920\) students, how many students were enrolled the previous year?

A. \(782\)
B. \(800\)
C. \(820\)
D. \(846\)
E. \(890\)

The OA is B


Three machines, \(K, M,\) and \(P,\) working simultaneously and independently at their respective constant rates, can

Three machines, \(K, M,\) and \(P,\) working simultaneously and independently at their respective constant rates, can complete a certain task in \(24\) minutes. How long does it take Machine \(K,\) working alone at its constant rate, to complete the task? 1) Machines \(M\) and \(P,\) working simulta...


Suzanne and Melody can paint home in \(10\) and \(15\) days respectively. They started painting but unfortunately,

Suzanne and Melody can paint home in \(10\) and \(15\) days respectively. They started painting but unfortunately, Suzanne had to leave after some days and Melody finished the remaining task in \(5\) days. After how many days did Suzanne left? A. \(10\) B. \(4\) C. \(5\) D. \(20\) E. \(6\) The OA is...


John puts balls in \(7\) boxes, and puts at least \(1\) ball in each box. Did he put more than \(7\) balls in at least

John puts balls in \(7\) boxes, and puts at least \(1\) ball in each box. Did he put more than \(7\) balls in at least one box?

1. The number of balls in each of the \(7\) boxes are different

2. The total number of balls put into box is 29

The OA is C


A group of people decided to cut \(128\) trees in a certain number of days. For the first \(4\) days, they were able to

A group of people decided to cut \(128\) trees in a certain number of days. For the first \(4\) days, they were able to achieve their planned per day target. However, for the remaining days, the group was able to cut \(4\) more trees daily than planned. In this way, the group had cut \(164\) trees o...


Garcia purchased two kinds of premium coffee Harbucks Colorado Coffee Emporium. If premium coffee is onle sold in one

Garcia purchased two kinds of premium coffee from Harbucks Colorado Coffee Emporium. If premium coffee is only sold in one pound bags and each pound of premium mild coffee costs \(\$2.10\) and each pound of premium hearty costs \(\$2.30,\) how many pounds of premium mild did Garcia buy? 1. The total...


Together it takes three different machines \(5\) hours to complete a job. The first machine takes \(10\) hours to

Together it takes three different machines \(5\) hours to complete a job. The first machine takes \(10\) hours to complete the job alone and the second machine takes \(15\) hours to complete the job alone. How many hours would it take the third machine alone to complete the job? A. \(20\) B. \(25\) ...


In the diagram above each of the letters represents one of the digits between \(5\) and \(9,\) not inclusive. If each

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In the diagram above each of the letters represents one of the digits between \(5\) and \(9,\) not inclusive. If each row and each column must be filled with distinct digits, what is the sum of \(w, b\) and \(l?\)

1. \(b + k = 14\)

2. \(b + x = 15\)

The OA is C


The variables \(a\) and \(b\) are non-zero integers. If \(a = 2b^3/c,\) what happens to \(c\) when \(a\) is halved and

The variables \(a\) and \(b\) are non-zero integers. If \(a = \dfrac{2b^3}{c},\) what happens to \(c\) when \(a\) is halved and \(b\) is doubled?

A. \(c\) is not changed
B. \(c\) is halved
C. \(c\) is doubled
D. \(c\) is multiplied by \(4\)
E. \(c\) is multiplied by \(16\)

The OA is E