# Arithmetic Aptitude

Question 1 |

(1015)

^{2}= ?1040125
| |

1030225 | |

1050125 | |

1025125 |

**Arithmetic Aptitude**

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Question 1 Explanation:

1015

^{2}= (1000+15)^{2}= 1000

^{2}+ 15^{2}+2 x 1000 x 15=1000000 + 225 + 30000

=1030225

Question 2 |

Which one is NOT divisible by 3 ?

5271 | |

6291 | |

4372 | |

8952 |

**Arithmetic Aptitude**

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Question 2 Explanation:

If the total of digits is divisibble by 3, number is also divisible by 3.
5271……..5+2+7+1=15 is divisible by 3
6291……..6+2+9+1=18 is divisible by3
4372……..4+3+7+2=16 is not divisible by 3
8952……..8+9+5+2=24 is divisible by 3

Question 3 |

Largest five digit number exactly divisible by 39 is:

99979 | |

99956 | |

99989 | |

99996 |

**Arithmetic Aptitude**

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Question 3 Explanation:

Largest 5 digit number is 99999. Let us divide 99999 by 39 39) 99999 (2564 78 ----- 219 195 ----- 249 234 ----- 159 156 ---- 3 From above calculation, we know 39*2564 + 3 = 99999 Therefore 99999-3 = 99996 is the largest divisible number by 39.

Question 4 |

Which is not the prime number?

43 | |

57 | |

73 | |

101 |

**Arithmetic Aptitude**

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Question 4 Explanation:

A positive natural number is called prime number if nothing divides it except the number itself and 1. 57 is not a prime number as it is divisible by 3 and 19.

Question 5 |

103 x 103 + 97 x 97 = ?

21348 | |

20018 | |

19648 | |

21428 |

**Arithmetic Aptitude**

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Question 5 Explanation:

103 x 103 + 97 x 97 = (100+3)^{2}+ (100-3)^{2}= 2 (100^{2}+ 3^{2}) [ (X +Y)^{2}+ ( X – Y)^{2}= 2 ( X^{2}+ Y^{2}) ] = 2 (10000 + 9 ) = 2 x 10009 = 20018

Question 6 |

9848 x 125 = ?

1232000 | |

1242000 | |

1231000 | |

1233000 |

**Arithmetic Aptitude**

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Question 6 Explanation:

9848 x 125 = 9848 x 53 = 9848 x (10 / 2)^{3}= 9848 x (10^{3}/ 2^{3}) = 9848 x (10008/8) = 1231000

Question 7 |

How many of the following numbers are divisible by 9
96381, 46729, 54459, 85369, 46818

1 | |

2 | |

4 | |

3 |

**Arithmetic Aptitude**

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Question 7 Explanation:

If sum of digits are divisible by 9, number is also divisible by 9

96381…..9+6+3+8+1= 27 (/) 46729…..4+6+7+2+9= 28 (x) 54459…..5+4+4+5+9= 27 (/) 85369…..8+5+3+6+9= 31 (x) 46818…..4+6+8+1+8= 27 (/)

Question 8 |

What will be the next number?
3, 5, 7, 11, 13, 17…….

21 | |

19 | |

25 | |

20 |

**Arithmetic Aptitude**

**Series**

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Question 8 Explanation:

This is a sequence of prime numbers

Question 9 |

P and Q can do a work in 30 and 60 days respectively. They agreed to work together and finish the work for 1000 Rupees. But they worked only for 10 days. How much money should they together get ?

500 | |

100 | |

800 | |

200 |

**Arithmetic Aptitude**

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Question 9 Explanation:

one day combined work of P and Q= 1/30+1/60 = 1/20.

Thus P and Q can finish the work together in 20 days.

But they have worked only for 10 days which means they have finished half of the job.

So they will be paid half of the money= 500 rs

Thus P and Q can finish the work together in 20 days.

But they have worked only for 10 days which means they have finished half of the job.

So they will be paid half of the money= 500 rs

Question 10 |

If (4446)

_{x}+ (2222)_{x}= (10001)_{x}then value of (2342)_{x}- (1656)_{x}= (?)_{x}453 | |

353 | |

893 | |

686 |

**Arithmetic Aptitude**

**GATE 2017 Mock**

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There are 12 questions to complete.