### Number Theory - Factors

The sum of the factors of a number is 124. What is the number?

- Number lies between 40 and 50
- Number lies between 50 and 60
- Number lies between 60 and 80
- More than one such number exists

**Correct Answer**Choice (D).

More than one such number exists. Correct answer- Explanatory Answer
- Sum of factors
- Hard

### Number Theory - Factors

How many factors of 1080 are perfect squares?

- 4
- 6
- 8
- 5

**Correct Answer**Choice (A).

4 Correct answer- Explanatory Answer
- Factors - Perfect Squares
- Medium

### Number Theory - Factors

How many factors of 2

^{5}* 3^{6}* 5^{2}are perfect squares?- 18
- 24
- 36
- 8

**Correct Answer**Choice (B).

24 Correct answer- Explanatory Answer
- Factors - Perfect Squares
- Medium

### Number Theory - Odd Factors

How many factors of 2

^{4}* 5^{3}* 7^{4}are odd numbers?- 100
- 99
- 20
- 24

**Correct Answer**Choice(C).

20 Correct answer- Explanatory Answer
- Factors - Odd numbers
- Medium

### Number Systems - Factors

How many factors of the number 2

^{8}* 3^{6}* 5^{4}* 10^{5}are multiples of 120?- 540
- 660
- 594
- 792

**Correct Answer**Choice (C).

594 Correct answer- Explanatory Answer
- Special factors
- Medium

### Number Theory - Even Factors

Number N = 2

^{6}* 5^{5}* 7^{6}* 10^{7}; how many factors of N are even numbers?- 1183
- 1200
- 1050
- 840

**Correct Answer**Choice (A).

1183 Correct answer- Explanatory Answer
- Factors - Even numbers
- Medium

### Number Theory - Perfect Cube

Numbers A, B, C and D have 16, 28, 30 and 27 factors. Which of these could be a perfect cube?

- A and B
- B and C
- A, B and C
- B and D

**Correct Answer**Choice (A).

A and B Correct answer- Explanatory Answer
- Factors of perfect cube
- Medium

### Number Theory 'abcabc'

If a three digit number ‘abc’ has 3 factors, how many factors does the 6-digit number ‘abcabc’ have?

- 16 factors
- 24 factors
- 16 or 24 factors
- 20 factors

**Correct Answer**Choice (C).

16 or 24 factors Correct answer- Explanatory Answer
- Factors of a number abcabc
- Hard

### Number Theory - Brute Force

How many numbers are there less than 100 that cannot be written as a multiple of a perfect square greater than 1?

- 61
- 56
- 52
- 65

**Correct Answer**Choice (A).

61 Correct answer- Explanatory Answer
- List dem and count dem
- Hard

### Number Theory - 18 factors

Find the smallest number that has exactly 18 factors.

- 180
- 216
- 240
- None of these

**Correct Answer**Choice (A).

180 Correct answer- Explanatory Answer
- Smallest number with 18 factors
- Hard

### Number Theory - Factors

A number N

^{2}has 15 factors. How many factors can N have?- 5 or 7 factors
- 6 or 8 factors
- 4 or 6 factors
- 9 or 8 factors

**Correct Answer**Choice (B).

6 or 8 factors Correct answer- Explanatory Answer
- Number Theory - Factors
- Medium

### Number Theory 'abcabc'

If a three digit number ‘abc’ has 2 factors (where a, b, c are digits), how many factors does the 6-digit number ‘abcabc’ have?

- 16
- 24
- 18
- 30

**Correct Answer**Choice (A).

16 Correct answer- Explanatory Answer
- Factors of a number abcabc
- Hard

### 12 Factors

What is the smallest number that has exactly 12 factors ?

- 211
- 60
- 120
- 144

**Correct Answer**Choice (B).

60 Correct answer- Explanatory Answer
- Smallest Number
- Medium

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- Percents Profits & Interests
- DI - Bar Graphs
- Geometry
- VA - Sentence Rearrangement
- Speed Time Races
- DI - Pie Charts
- Coordinate Geometry
- VA - Sentence Elimination
- Ratio Mixtures, Averages
- DI - Multiple Graphs
- Trigonometry
- VA - Sentence Correction
- Logarithms and Exponents
- DI - Word Problems
- Mensuration
- VA - Para Completion
- Pipes Cisterns
- DI - Line Graphs
- Permutation; Probability
- VA - Text Completion