Test: Feel The Power

QUESTION: 1

Is (x – 2)² > x²?

1) x² > x
2) 1/x > 0

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 2

The positive value of x that satisfies the equation (1 + 2x)⁵ = (1 + 3x)⁴ is between

A.
0 and 0.5
B.
0.5 and 1
C.
1 and 1.5
D.
1.5 and 2

Solution:

QUESTION: 3

If 4^x + 4^-x = 2, what is the value of x?

A.
-1
B.
-1/2
C.
0
D.
1/2

Solution:

QUESTION: 4

Is 10^m < 5000?

1) 10^{m + 1} > 9000
2) 10^{m – 1} = 10^m – 900

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 5

If m and n are negative integers, what is the value of mn?
1) mⁿ = 1/81
2) n^m = -1/64

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 6

If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?

A.
10
B.
12
C.
14
D.
16

Solution:

QUESTION: 7

If a and b are positive, is (a^-1 + b^-1) less than (a^-1b^-1)^-1?

1) a = 2b
2) a + b > 1

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 8

Is xy > x²y²?

1) 14x² = 3
2) y² = 1

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
Statements (1) and (2) together are NOT sufficient.

Solution:

QUESTION: 9

99,999² – 1² =

A.
10¹⁰ – 2
B.
10⁴(10⁵ – 2)
C.
10⁵(10⁴ – 2)
D.
10⁵(10⁵ – 2)

Solution:

QUESTION: 10

If √x = 25, x³ – x² =

A.
5²⁰
B.
6(5⁵)
C.
5⁴(5² + 1)
D.
5⁸(5⁴ – 1)

Solution:

QUESTION: 11

√ [2√63 + 2/(8 + 3√7)] =

A.
8 + 3√7
B.
4 + 3√7
C.
8
D.
4

Solution:

QUESTION: 12

If 5^x – 5^{x – 3}= (124)(5^y), what is y in terms of x?

A.
x
B.
x - 6
C.
x - 3
D.
2x + 3

Solution:

QUESTION: 13

If x is the product of the positive integers from 1 to 8, inclusive, and if, i, k, m, and p are positive integers such that x = 2ⁱ3^k5^m7^p, then i + k + m + p =

A.
4
B.
7
C.
8
D.
11

Solution:

QUESTION: 14

What is the value of 3^{-(x + y)}/3^{-(x – y)}?

1) x = 2
2) y = 3

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 15

If 3^6x = 8,100, what is the value of (3^{x – 1})³?

A.
90
B.
30
C.
10/3
D.
10/9

Solution:

3^6x = 8100 into 3^3x = 90

3^(3x-3)= 90/3^3 =10/3

15 Questions MCQ Test Quantitative Aptitude for GMAT | Test: Feel The Power

Is (x – 2)² > x²?

1) x² > x
2) 1/x > 0

The positive value of x that satisfies the equation (1 + 2x)⁵ = (1 + 3x)⁴ is between

If 4^x + 4^-x = 2, what is the value of x?

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