DAT Bootcamp Practice 8 Trouble
Question and answers correctly
solved 2025/2026
If , 3∧x+4 = 9∧2X+7 then which of the following is equal to x? - correct answer ✔3∧x+4 = 3²(2X+7 ) ,
3∧x+4 = 3∧4X+14 , x+4 = 4X+14 , -10 = 3x , x =-10/3
√8a²b⁶ / 2a⁵b Simplify - correct answer ✔√8(a²)½(b⁶)½ / 2a⁵b = √8ab³/ 2a⁵b =2√2ab³/ 2a⁵b = √2b²/ a⁴
x+8 = |3x-2| - correct answer ✔Must solve for both possible equations for abs value : +(x+8) = 3x-2 and
-(x+8) =3x-2 , +(x+8) = 3x-2 -> x=5, -(x+8) =3x-2 -> -3/2.
a=b² QA: 1/a QB: 1/b - correct answer ✔RELATIONSHIP CANNOT BE DETERMINED. a and b are positive
and greater than 1 (using a = 4 and b = 2 as an example):
The denominator b will be smaller, making the overall fraction in Quantity B larger.
a and b are positive and less than 1 (using a = 0.04 and b = 0.2 as an example): The denominator a will be
smaller, making the overall fraction in Quantity B smaller.
How many different combinations of 3 apples can be picked from a set of 7 identical apples? - correct
answer ✔we can use combinations because we are not told that order matters n!/r! (n-r)! 7 x 6 x
x2 x1 = 210/6 = 35
How many distinct ways can you select 2 people from a group of 10, if the order in which they are
picked matters? - correct answer ✔Since order is important, permutations can be used. The sample
size, or n, is 10 and the number of items select¸or r, is 2.
n!/ n-r! 10!/8! 10x 9 x ! = 10 x 9 =90
Question and answers correctly
solved 2025/2026
If , 3∧x+4 = 9∧2X+7 then which of the following is equal to x? - correct answer ✔3∧x+4 = 3²(2X+7 ) ,
3∧x+4 = 3∧4X+14 , x+4 = 4X+14 , -10 = 3x , x =-10/3
√8a²b⁶ / 2a⁵b Simplify - correct answer ✔√8(a²)½(b⁶)½ / 2a⁵b = √8ab³/ 2a⁵b =2√2ab³/ 2a⁵b = √2b²/ a⁴
x+8 = |3x-2| - correct answer ✔Must solve for both possible equations for abs value : +(x+8) = 3x-2 and
-(x+8) =3x-2 , +(x+8) = 3x-2 -> x=5, -(x+8) =3x-2 -> -3/2.
a=b² QA: 1/a QB: 1/b - correct answer ✔RELATIONSHIP CANNOT BE DETERMINED. a and b are positive
and greater than 1 (using a = 4 and b = 2 as an example):
The denominator b will be smaller, making the overall fraction in Quantity B larger.
a and b are positive and less than 1 (using a = 0.04 and b = 0.2 as an example): The denominator a will be
smaller, making the overall fraction in Quantity B smaller.
How many different combinations of 3 apples can be picked from a set of 7 identical apples? - correct
answer ✔we can use combinations because we are not told that order matters n!/r! (n-r)! 7 x 6 x
x2 x1 = 210/6 = 35
How many distinct ways can you select 2 people from a group of 10, if the order in which they are
picked matters? - correct answer ✔Since order is important, permutations can be used. The sample
size, or n, is 10 and the number of items select¸or r, is 2.
n!/ n-r! 10!/8! 10x 9 x ! = 10 x 9 =90
