Number Theory MCQs

Welcome to our comprehensive collection of Multiple Choice Questions (MCQs) on Number Theory, a fundamental topic in the field of Aptitude. Whether you're preparing for competitive exams, honing your problem-solving skills, or simply looking to enhance your abilities in this field, our Number Theory MCQs are designed to help you grasp the core concepts and excel in solving problems.

In this section, you'll find a wide range of Number Theory mcq questions that explore various aspects of Number Theory problems. Each MCQ is crafted to challenge your understanding of Number Theory principles, enabling you to refine your problem-solving techniques. Whether you're a student aiming to ace Aptitude tests, a job seeker preparing for interviews, or someone simply interested in sharpening their skills, our Number Theory MCQs are your pathway to success in mastering this essential Aptitude topic.

Note: Each of the following question comes with multiple answer choices. Select the most appropriate option and test your understanding of Number Theory. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

So, are you ready to put your Number Theory knowledge to the test? Let's get started with our carefully curated MCQs!

Number Theory MCQs | Page 5 of 17

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Q41.
Which one of the following is the common factor of (47^43 + 43^43) and (47^47 + 43^47) ?

a.

(47 - 43)

b.

(47 + 43)

c.

(47^43 + 43^43)

d.

None of these

Discuss
Answer: (b).(47 + 43)
Q42.
-84 x 29 + 365 = ?

a.

2436

b.

2801

c.

-2801

d.

-2071

Discuss
Answer: (d).-2071
Q43.
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:

a.

1

b.

2

c.

8

d.

11

Discuss
Answer: (a).1
Q44.
In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been

a.

24

b.

144

c.

292

d.

584

Discuss
Answer: (d).584
Q45.
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?

a.

4236

b.

4306

c.

4336

d.

5336

Discuss
Answer: (d).5336
Q46.
4500 x ? = 3375

a.

2


5

b.

3


4

c.

1


4

d.

3


5

Discuss
Answer: (b).3


4
Q47.
What smallest number should be added to 4456 so that the sum is completely divisible by 6 ?

a.

4

b.

3

c.

2

d.

1

Discuss
Answer: (c).2
Q48.
What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?

a.

23

b.

31

c.

29

d.

37

Discuss
Answer: (c).29
Q49.
476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively:

a.

7 and 4

b.

7 and 5

c.

8 and 5

d.

None of these

Discuss
Answer: (c).8 and 5
Q50.
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:

a.

3

b.

2

c.

1

d.

5

Discuss
Answer: (a).3
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