BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Search found 10 matches


What is the sum of all possible solutions of the equation?

What is the sum of all possible solutions of the equation:

|x + 4|² – 10|x + 4| = 24?

A -16
B -14
C -12
D -8
E -6


Absolute Value Question

If x ≠ 2.5 and 2x = |15 - 4x|, then x =

A 3.5
B 4.5
C 5.5
D 6.5
E 7.5

by GMATprofessional21

Wed Aug 05, 2020 7:43 am
Forum: Problem Solving
Topic: Absolute Value Question
Replies: 2
Views: 567

The system of equations has how many solutions?

The system of equations has how many solutions?

3x − 6y = 9

2y − x − 3 = 0

A None
B Exactly 1
C Exactly 2
D Exactly 3
E Infinitely many

by GMATprofessional21

Wed Aug 05, 2020 7:42 am
Forum: Problem Solving
Topic: The system of equations has how many solutions?
Replies: 3
Views: 781

Combinations question

In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?

A 20
B 40
C 216
D 720
E 729

by GMATprofessional21

Wed Aug 05, 2020 7:02 am
Forum: Problem Solving
Topic: Combinations question
Replies: 2
Views: 676

If the average (arithmetic mean) of x, y and 15 is 9, and the average of x, 2y and 2 is 7, then y =?

If the average (arithmetic mean) of x, y and 15 is 9, and the average of x, 2y and 2 is 7, then y =

A 5
B 6
C 7
D 8
E 9

To solve this we know that:

x+y+15 =27
hence, x+y=12

x+2y+2=12
hence, x+2y=19

Subtracting the two we get y=7 so C is correct


How many positive integers less than 100 have a remainder of 2 when divided by 13?

How many positive integers less than 100 have a remainder of 2 when divided by 13?

A 6
B 7
C 8
D 9
E 10

The possible numbers that fulfill this criteria are 2, 15, 28,41,54,67,80,93. This is 8 numbers, so the answer is C


If k is an integer and k = 462/n, then which of the following could be the value of n?

If k is an integer and k = 462/n, then which of the following could be the value of n?

A 4
B 5
C 9
D 13
E 22

To solve, we need to find all the factors of 462, which are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462.

Since 22 is a factor then it is our answer, which is E.


If k is an odd integer, which of the following must be an even integer?

If k is an odd integer, which of the following must be an even integer?
A k2 − 4
B 3k + 2
C 2k + 1
D (12k)/8
E (6k)/3

You can solve by substituting an even number, 0, into each of the options. Only C gives an even result hence C is the right answer.