Number System (Level- Easy-01)

The product of two consecutive numbers is 12 more than the square of the smaller number. Find the greater number.

9
11
12
13
None of these

Quantity A: number of 2’s in the prime factorization of 32

Quantity B: number of 2’s in the prime factorization of 60

Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
cannot be determined

If b is an integer and 396/b is an integer, which of the following could be the value of b?

10
27
24
18

The prime factorization of 60 is?

2 * 3 * 5
2 * 3 * 3 * 5
2 * 3 * 10
2 * 2 * 3 * 5

Consider the following sequence of integers:

5, 11, 23, 47

What is the 6^th element in this sequence?

95
93
189
191

What is the sum of all the integers between 1 and 69, inclusive?

2312
2298
2415
2509

Quantity A: The sum of all integers from 1 to 30

Quantity B: 465

Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
cannot be determined

The sum of a set of 10 consecutive odd integers is 200. What is the fourth number in this set?

17
23
13
27

The average of five consecutive integers is 6. What is the largest of these integers?

8
5
6
7

If the sum of four consecutive numbers is 38, what is the mean of the largest and the smallest of the four numbers?

11
10.5
9.5
11.75

What’s the distance between 1 and 8 on a number line?

8
7
6
5

If perimeter of equilateral triangle is 9√6, what is the height of the triangle?

9√2/2
3√2
9√2
3√6

What’s the distance between 1 and 8 on a number line?

8
4
6
7

If perimeter of equilateral triangle is 9√6, what is the height of the triangle?

3√2
3√6
9√2 / 2
9√2

Quantity A: (310789)∗(210237)

Quantity B: (310237)∗(210789)

Which one is larger

A
B
The two quantities are equal.
Cannot be determined

Solve for x:

2x+47=−47

47
−57
−94
−47

Solve for x:

2x+52=−30

51
−41
41
31

Find the value of x.

−2x=−1/3

−1/6
1/6
−6
6

What is −36/−9?

45
−4
−27
4

Solve for x:

16−4x=x+6

2
−1/2
1/2
-2

Solve for y:

−3y=−45

5
12
15
−15

Solve for p:

2p+18=12

−4
2
4
−3

x, y and z are negative numbers.

A = x + y + z

B = xyz

Which one is larger?

A
B
The two quantities are equal
Cannot be determined

Simplify:

−(−6)^2(−1)−(−3)

0
33
−39
39

−1≤x≤1 and x≠0

Quantity A: x2

Quantity B: x3

Which one is larger?

A
B
The two quantities are equal.
Cannot be determined

If a is the greatest common divisor of 64 and 14 and b is the least common multiple of 16 and 52 then a + b = ?

120
187
210
233

What is the least common multiple of 3, 4x, 5y, 6xy, and 10y?

30 x^2 y^2
30xy
25xy
60xy

What is the least common multiple of 45 and 60?

180
225
360
25

What is the least common multiple of 350 and 6270?

219,450
1,097,250
109,725
2,194,500

Find the greatest common factor of 16 and 24.

16
8
2
4

What is the greatest common factor of 18 and 24?

24
18
9
6

What is the greatest common factor of 6930 and 288?

9
288
18
1108

Which of the following is a prime number?

71
51
15
9

If x is a prime number, then 3x is

a prime number
odd
even
cannot be determined

Which of the following pairs of numbers are twin primes?

3, 5
1, 3
13, 19
2, 3

What must be true of all prime numbers?

The distribution of primes is random.
There are only two primes that are consecutive positive integers on the number line.
Every positive prime has a corresponding negative prime.
The sum of two primes is always even.

Quantity A: The smallest prime number multiplied by 3 and divided by the least common multiple of 5 and 10

Quantity B: The smallest odd prime number multiplied by 2 and divided by the 2nd smallest odd prime

Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
cannot be determined

Quantity A: The number of prime numbers between 0 and 100, inclusive.

Quantity B: The number of prime numbers between 101 and 200, inclusive.

Quantity A is greater.
Quantity B is greater.
The two quantities are equal
cannot be determined

Which number is greater than the sum of all the prime factors of 330?

20
18
23
17

A prime number is divisible by:

1
Itself
Both answers are correct
None of the above

What is half of the third smallest prime number multiplied by the smallest two digit prime number?

55/2
33/2
11
0

a, b and c are integers, and a and b are not equivalent.

If ax + bx = c, where c is a prime integer, and a and b are positive integers which of the following is a possible value of x?

1
2
3
4

Which statement is false about prime numbers?

Every positive integer except for 1 is a prime or a product of primes.
Every integer greater than 1 has a unique prime factorization.
There are no negative primes.
None are false.

Quantity A

5!/3!

Quantity B

6!/4!

Quantity A is greater
Quantity B is greater
Both Quantities are equal
Cannot be Determined

Which of the following integers are factors of both 24 and 42?

8
3
7
12

721(413) + 211(721) is equal to which of the following?

(721 + 413)(211 +721)
211(413 + 721)
721(413 + 211)
(721 + 211)(413 + 721)

n is a positive integer. p = 4 * 6 * 11 * n

Quantity A: The remainder when p is divided by 5

Quantity B: The remainder when p is divided by 33

Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
cannot be determined

If x/y > 0, which of the following must be true?

A. x>0
B. y >0
C. xy >0
D. x – y > 0
E. all of these

If x and y are positive odd integers and z is an even integer, which one of the following statements cannot be true?

(A) (x – z)y2 is odd
(B) (xz)2y is even
(C) (x – z)y is odd
(D) (x − y)2z is even
(E) none of these

In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 75 bricks in that wall, how many bricks does the bottom row contain?

(A) 12
(B) 17
(C) 14
(D) 15
(E) None of these

Number System (Level- Easy-01)

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