**Problem on Numbers**

Shortcut Tricks are very important things in competitive

**problem on numbers**shortcuts is given in this page below. All tricks on problem on numbers are provided here. Visitors are requested to carefully read all shortcut examples. These examples here will help you to better understand shortcut tricks on problem on numbers.

Before starting anything just do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Using basic math formula do first ten maths of that page. You also need to keep track of Timing. Write down the time taken by you to solve those questions. Now practice our shortcut tricks on problem on numbers and read examples carefully. After finishing this do remaining questions using Problem on Numbers shortcut tricks. Again keep track of timing. This time you will surely see improvement in your timing. But this is not all you want. You need more practice to improve your timing more.

### Few Important things to Remember

Math section in a competitive exam is the most important part of the exam. That doesn’t mean that other sections are not so important. But if you need a good score in exam then you have to score good in maths. You can get good score only by practicing more and more. You should do your math problems within time with correctness, and only shortcut tricks can give you that success. But it doesn’t mean that you can’t do math problems without using any shortcut tricks. You may have that potential to do maths within time without using any shortcut tricks. But so many people can’t do this. Here we prepared problem on numbers shortcut tricks for those people. We always try to put all shortcut methods of the given topic. But if you see any tricks are missing from the list then please inform us. Your little help will help so many needy.

This chapter is based on Numbers and the question are given in the form of a set of Numbers and are in the form of a puzzle form. We just need to examine the given condition and assume the unknown numbers and form equations accordingly. So Here is some Problems based on Numbers which provides you for better practice.

### Problem on Numbers

Now we will discuss some basic ideas of **Problem on Numbers**. On the basis of these ideas we will learn trick and tips of shortcut problem on numbers. If you think that * how to solve problem on numbers questions using problem on numbers shortcut tricks*, then further studies will help you to do so.

### Example #1

If (15)^{3} is subtracted from the square of a number and obtained 3349. Find the number.

- 68
- 74
- 82
- 88

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**Answer:**Option (C)

**How to Solve**

Let the number be X.

X

^{2}– (15)

^{3}= 3349

X

^{2}= 3349 + 3375

X = √6724 = 82

**Rough Workspace**

### Example #2

Harish purchase 1540 products in 4 days. How many products would he purchase in 3 weeks and 4 days?

- 6433
- 7547
- 8634
- 9525

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**Answer:**Option (D)

**How to Solve**

One days purchase is,

1540 / 4

= 385.

So, his purchase in 3 weeks and 4 days is,

385 x ( 21 + 4 )

= 9525 products.

**Rough Workspace**

### Example #3

One-third of a number is 78. What would be 62% of that number?

- 145.08
- 152.56
- 161.82
- 169.30

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**Answer:**Option (A)

**How to Solve**

Let, the number is X.

1 x X / 3 = 78

X = 3 x 78

So, 62% = 3 x 78 x 62 / 100

= 145.08

**Rough Workspace**

### Example #4

What value will be acquire on subtracting cube of 9 from square of 29?

- 100
- 108
- 112
- 116

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**Answer:**Option (C)

**How to Solve**

29

^{2}= 841

9

^{3}= 729

So, 841 – 729

= 112.

**Rough Workspace**

### Example #5

If product of two successive positive integers is 6972. Which is the greatest integer?

- 82
- 83
- 84
- 85

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**Answer:**Option (C)

**How to Solve**

83 x 84 = 6972

So, the greatest number is 84.

**Rough Workspace**

### Example #6

If A and B are odd numbers, then which of the following is even?

- A + B
- A / B
- A x B
- A
^{B}

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**Answer:**Option (A)

**How to Solve**

The Sum of two odd number is even.

So, A + B is even.

**Rough Workspace**

### Example #7

Find a number which is as much as greater than 46 as is less than 76.

- 59
- 61
- 63
- 65

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**Answer:**Option (B)

**How to Solve**

Let, the number be X.

So,

X – 46 = 76 – X

2x = 76 + 46

X = 122 / 2

X = 61.

So, the required number is 61.

**Rough Workspace**

### Example #8

Sanjay saves Rs.16325/- per month. How much amount will he save in 3 years and 2 months?

- Rs.467598/-
- Rs.527750/-
- Rs.589404/-
- Rs.620350/-

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**Answer:**Option (D)

**How to Solve**

3 years and 2 months = 38 months.

So, he will save,

16325 x 38

= Rs.620350/-

**Rough Workspace**

### Example #9

The difference between a number and it’s three-fifth is 60. What is the number?

- 140
- 150
- 160
- 170

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**Answer:**Option (B)

**How to Solve**

Let the number be X.

So,

X – ( 3X / 5 ) = 60

2X / 5 = 60

X = 60 x 5 / 2

X = 150.

**Rough Workspace**

### Example #10

What is the smallest prime number?

- 1
- 2
- 3
- 4

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**Answer:**Option (B)

**How to Solve**

2 is the smallest prime number.

**Rough Workspace**

### Example #11

What is the smallest 3 digit prime number?

- 101
- 103
- 107
- 111

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**Answer:**Option (A)

**How to Solve**

The smallest 3 digit number is 100, but 100 is not a prime number. It is divisible by 2.

101 is not divisible by any other prime number.

So, 101 is the smallest three digit prime number.

**Rough Workspace**

### Example #12

What is the sum of first five prime numbers?

- 22
- 24
- 26
- 28

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**Answer:**Option (D)

**How to Solve**

First five prime numbers are,

2, 3, 5, 7 and 11.

So, sum of these numbers are,

(2 + 3 + 5 + 7 + 11

= 28.

**Rough Workspace**

### Example of Problem on Numbers

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Sir

Please provide a topic on data interpretation