Quant examples

Question 1

Set T consists of 82 consecutive odd integers. If the sum of the integers is 3⁸ - 165, what is the median of set T?

A) 78
B) 79
C) 80
D) 81
E) 82

Answer 1

the series is consecutive ODD integers..
so MEDIAN will be same as AVERAGE
number of integers, so median= average = (41st+42nd)/2

here we are given sum and we know total number, so median = 38−1658238−16582
choice give us the answer..
1) median will be a EVEN integer
2) it will be a multiple of 3, as numerator has 3 in it and denominator does not
ONLY 78 matches

Question 2

At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?

Answer 2

Look for the multiples e.g. if you multiply the first by 3 and the second by 2 and then subtract you have the solution

Question 3

If x= sqr4(x^3+6x^2), then the sum of all possible solutions for x is:

Answer 3

always recheck –> x= -2 is not possible as the even roots cannot be negative

Even roots have only a positive value on the GMAT.

In contrast, the equation x^2=25 has TWO solutions, +5 and -5.