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Remainders

A number when successively divided by \(3, 5\) and \(8\) leaves remainders \(1, 4\) and \(7\) respectively. Find the respective remainders when the order of the divisors is reversed.

A. \(8, 5, 3\)
B. \(4, 2, 1\)
C. \(3, 2, 1\)
D. \(6, 4, 2\)
E. None of the above

The OA is D

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Distance/Rate Problems, Fractions/Ratios/Decimals, Word Problems

If Danielle ran a race at a constant speed, at what time did she finish?

1. Danielle started the race at \(8{:}00 \,\text{a.m.}\)

2. At \(9{:}30 \,\text{a.m.}\) Danielle was halfway through the race, and at \(10{:}00\, \text{a.m.}\), she was \(2/3\) of the way through the race

The OA is B

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Combinations, Coordinate Geometry

A \(16\)-step path is to go from \((-4,-4)\) to \((4,4)\) with each step increasing either the \(x\)-coordinate or the \(y\)-coordinate by \(1.\) How many such paths stay outside or on the boundary of the square \(-2 \leq x \leq 2,\) \(-2 \leq y \leq 2\) at each step? A. \(92\) B. \(144\) C. \(1,568...

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Coordinate Geometry, Functions And Custom Characters

The graph above shows a parabola that is symmetric about the \(x\)-axis. Which one of the following could be the equation of the graph?

A. \(x = -y^2 − 1\)
B. \(x = -y^2\)
C. \(x = -y^2 + 1\)
D. \(x = y^2 -1\)
E. \(x = (y + 1)^2\)

The OA is A

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Anthony can purchase bagels at \(\$1.99\) for a specialty bagel and \(\$15.99\) for a package of one dozen plain bagels.

Anthony can purchase bagels at \(\$1.99\) for a specialty bagel and \(\$15.99\) for a package of one dozen plain bagels. If Anthony can purchase only specialty bagels or packages of plain bagels, did Anthony purchase any plain bagels? 1) Anthony spent less than \(\$32.00\) 2) Anthony spent more than...

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Arithmetic, Percent And Interest Problems

John received a raise in his fixed salary in April \(2017\) over March \(2017.\) Was the raise in his fixed salary greater than \(20\%?\)

1. John's fixed salary in March \(2017\) was less than \(\$4200\)

2. John received a raise of \(\$910\) in his fixed salary in April \(2017\)

The OA is C

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Arithmetic

There are \(12\) boys and \(12\) girls in a class. Is the average weight of the entire class of these \(27\) students, greater than \(40\,\text{kg}?\)

1. Average weight of \(15\) boys is greater than \(42\text{ kg}\)

2. Average weight of \(12\) girls is lesser than \(38\,\text{kg}\)

The OA is E

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Coordinate Geometry

The point that bisects the line depicted in the figure above is:

A. \((1.25; 0.75)\)

B. \((1.25; 2.25)\)

C. \((1.25; 2)\)

D. \((1.25; 1.25)\)

E. \((1.5; 1.25)\)

The OA is A