List of top Quantitative Aptitude Questions

Tina, Ed, and Lauren agree to share the cost of a gift and to make their contributions in proportion to their ages. Ed's age is \(\frac{1}{2}\) of Tina's age, and Lauren's age is \(\frac{1}{3}\) of Ed's age. If Lauren's share of the cost is $2.50, what is the cost of the gift?
Each of the numbers x, y, w, and z (not necessarily distinct) can have any of the values 2, 3, 9, or 14.
Column A: \(\frac{x}{y}\)
Column B: \(wz\)
Column A: \(x^2 + 2x + 1\)
Column B: \(x^2\)
\(a>0\)
Column A: d
Column B: e
\(a>0\)
Column A: \((4\sqrt{5a})^2\)
Column B: \(40a\)
Column A: \(\frac{0.27}{0.53}\)
Column B: \(\frac{0.027}{0.053}\)
\(a = -219\)
Column A: \(a^7 + a^5\)
Column B: \(a^8 + a^{18}\)
The average (arithmetic mean) of 7, 9, and \(x\) is greater than 9.
Column A: \(x\)
Column B: 11
The cost \(c\) of an order of \(n\) special envelopes is given by \(c = ($0.50)n + $15.00\).
Column A: The cost of an order of 500 special envelopes
Column B: $260
A box contains 20 marbles, all of which are solid colored; 5 of the marbles are green and 10 of the marbles are red.
Column A: The probability that a marble selected at random from the box will be green
Column B: The probability that a marble selected at random from the box will be neither red nor green
Points T and U are on a circle with center O.
Column A: The length of segment OT
Column B: The length of segment TU
Column A: \(x\)
Column B: 15
Column A: Eleven thousand plus eleven hundred plus eleven
Column B: 11,111
The gross receipts from the sale of t tickets, at $17 per ticket, total $16,660.
Column A: \(t\)
Column B: 1,000
\(x^2 - 1 = y\)
\(x = 3\)
Column A: \(y^2\)
Column B: 80
\(5y = 15\)
\(x = 2y\)
Column A: \(x\)
Column B: 5

The operation \(\diamondsuit\) is defined for all positive numbers \(r\) and \(t\) by r ♢ t = \(\frac{(r-t)^2 + rt}{t}\). 
Column A: \(71 \diamondsuit 37\) 
Column B: \(37 \diamondsuit 71\) 
 

The following information about student enrollment in a certain small college.
                                                  DISTRIBUTION OF ENROLLMENT 
                                                      BY CLASS AND SEX 
                                                   (Total enrollment: 1,400)


PERCENT OF TOTAL ENROLLMENT MAJORING IN EACH OF THE FOLLOWING ACADEMIC AREAS 
(No student is majoring in more than one area.)

What is the least integer value of n such that \(\frac{1}{2^n} < 0.001\)?

Column A: \(3x^2\) 
Column B: \(3x^3\) 

Column A: \(p^4 - p^6\) 
Column B: \(p^3 - p^5\) 
 

If \(\frac{a}{b} = \frac{3}{2}\), which of the following must be true?
I. \(\frac{b}{a} = \frac{2}{3}\)
II. \(\frac{a-b}{a} = \frac{1}{3}\)
III. \(a+b = 5\)
A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of lake frontage. If \(\frac{1}{9}\) of the lots are to have 80 feet of frontage each and the remaining 40 lots are to have 100 feet of frontage each, what is the value of x?
3, 7, 9, 14, x
The numbers in the list above are ordered from least to greatest. If the average (arithmetic mean) is 2 greater than the median, what is the value of x?
If the cube of n is 180 greater than the square of n, then n =