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If \(k\) is an even integer, what is the remainder when \(k\) is divided by \(10?\)

If \(k\) is an even integer, what is the remainder when \(k\) is divided by \(10?\)

1) the remainder when k is divided by \(5\) is equal to the remainder when \(k\) is divided by \(10\)

2) the remainder is greater than \(3\)

The OA is C


If \(n/2\) is an even integer. What is the remainder when \(n\) is divided by \(4?\)

If \(n/2\) is an even integer. What is the remainder when \(n\) is divided by \(4?\)

A. \(0\)
B. \(1\)
C. \(2\)
D. \(3\)
E. \(4\)

The OA is A


On the \(x-y\) coordinate grid, are points \(A(m, n)\) and \(B(r, t)\) equidistant from the origin?

On the \(x-y\) coordinate grid, are points \(A(m, n)\) and \(B(r, t)\) equidistant from the origin?

1) \(|m| = |n|\) and \(|r| = |t|\)

2) \(|m| = |r|\) and \(|n| = |t|\)

The OA is B


For all non-zero real numbers \(a\) and \(b,\) which of the following must be true?

For all non-zero real numbers \(a\) and \(b,\) which of the following must be true?

I. \(|a+b|=|a|+|b|\)

II. \(\left|\dfrac{a}{b}\right| = \dfrac{|a|}{|b|}\)

III. \(|ab| = |a|*|b|\)


A. II only
B. III only
C. I and II
D. II and III
E. I, II, and III

The OA is D


Which of the following inequalities is always true for any real number \('a'\) and \('b'?\)

Which of the following inequalities is always true for any real number \('a'\) and \('b'?\)

A. \(|a + b| = |a| + |b|\)
B. \(|a + b| > |a| + |b|\)
C. \(|a + b| \leq |a| + |b|\)
D. \(|a - b| \leq |a| - |b|\)
E. \(|a - b| > |a| - |b|\)

The OA is C


If a barrel contains only red and white balls, how many red balls are in the barrel?

If a barrel contains only red and white balls, how many red balls are in the barrel?

1. The probability of pulling out a red ball with one random selection is \(2/7\)

2. The probability of pulling out a white ball with one random selection is \(5/7\)

The OA is E


A shirt that costs \(k\) dollars is increased by \(30\%,\) then by an additional \(50\%.\) What is the new price of the

A shirt that costs \(k\) dollars is increased by \(30\%,\) then by an additional \(50\%.\) What is the new price of the shirt in dollars, in terms of \(k?\)

A. \(0.2k\)
B. \(0.35k\)
C. \(1.15k\)
D. \(1.8k\)
E. \(1.95k\)

The OA is E


Harper interviewed for a job with company \(A\) and with company \(B.\) What is the probability that Harper will get job

Harper interviewed for a job with company \(A\) and with company \(B.\) What is the probability that Harper will get job offers from both companies? 1) The probability that Harper will get a job offer from exactly one of the companies is \(0.6\) 2) The probability that Harper will get a job offer fr...


Anthony runs a business manufacturing machine parts. If Anthony’s business manufactured \(80,000\) machine parts last

Anthony runs a business manufacturing machine parts. If Anthony’s business manufactured \(80,000\) machine parts last year and \(88,000\) machine parts this year, how many parts will the business need to produce next year to maintain the same percent growth from year to year? A. \(88,000\) B. \(88,8...


The coordinates of three of the vertex of rectangle are \((2,3), (2,5),\) and \((4,3),\) respectively, what is the

The coordinates of three of the vertex of rectangle are \((2,3), (2,5),\) and \((4,3),\) respectively, what is the coordinates of the center of the rectangle?

A. \((2,3)\)
B. \((3,2)\)
C. \((3,3)\)
D. \((3,4)\)
E. \((4,3)\)

The OA is D


Line \(L\) passes through the points \(A\) and \(B\) having coordinates \((p,q)\) and \((r,s),\) respectively. Is the

Line \(L\) passes through the points \(A\) and \(B\) having coordinates \((p,q)\) and \((r,s),\) respectively. Is the slope of Line \(L\) positive?

1) \(p < 0\) and \(q < 0\)

2) \(r > 0\) and \(s < 0\)

The OA is E


Find the square of the length of the shortest path that can be drawn from the point \((6,3)\) to the point \((2,8)\)

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Find the square of the length of the shortest path that can be drawn from the point \((6,3)\) to the point \((2,8)\) such that the path touches the \(x\)-axis and the \(y\)-axis once.

A. \(41\)
B. \(100\)
C. \(149\)
D. \(185\)
E. \(196\)

The OA is D


Two trains for Jhansi leave from Delhi at \(10\) am and \(9{:}30\) am and travel at \(80 \,\text{km/h}\) and

Two trains for Jhansi leave from Delhi at \(10\) am and \(9{:}30\) am and travel at \(80 \,\text{km/h}\) and \(70 \,\text{km/h}\) respectively. How many kilometers from Delhi will the two trains be together? A. \(360 \,\text{km}\) B. \(320 \,\text{km}\) C. \(280 \,\text{km}\) D. \(270 \,\text{km}\) ...


Three friends contributed some funds for a party. What was the amount contributed by the friend who contributed the high

Three friends contributed some funds for a party. What was the amount contributed by the friend who contributed the highest amount?

1. The total funds collected were \(\$510\)
2. Had each friend contributed \(\$10\) extra, the ratio of their contributions would have been \(2{:}3{:}4\)

The OA is C