# Arithmetic Aptitude

• Last Updated : 06 Nov, 2019

 Question 1
(1015)2 = ?
 A 1040125 B 1030225 C 1050125 D 1025125
Arithmetic Aptitude    Simplification and Approximation
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Question 1 Explanation:
```10152 = (1000+15)2
= 10002 + 152 +2 x 1000 x 15
=1000000 + 225 + 30000
=1030225```
 Question 2
Which one is NOT divisible by 3 ?
 A 5271 B 6291 C 4372 D 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:
 A 99979 B 99956 C 99989 D 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?
 A 43 B 57 C 73 D 101
Arithmetic Aptitude    Numbers
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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 = ?
 A 21348 B 20018 C 19648 D 21428
Arithmetic Aptitude    Simplification and Approximation
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Question 5 Explanation:
```103 x 103 + 97 x 97
= (100+3)2 + (100-3)2
= 2 (1002 + 32 )
[ (X +Y)2 + ( X – Y)2 = 2 ( X2 + Y2 ) ]
= 2 (10000 + 9 )
= 2 x 10009
= 20018```
 Question 6
9848 x 125 = ?
 A 1232000 B 1242000 C 1231000 D 1233000
Arithmetic Aptitude    Simplification and Approximation
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Question 6 Explanation:
```9848 x 125 = 9848 x (250 / 2)
= 4924 x (500 / 2)
= 2462 x (1000 / 2)
= 1231 x (1000)
= 1231000```
 Question 7
How many of the following numbers are divisible by 9 96381, 46729, 54459, 85369, 46818
 A 1 B 2 C 4 D 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…….
 A 21 B 19 C 25 D 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 ?
 A 500 B 100 C 800 D 200
Arithmetic Aptitude    GATE 2017 Mock
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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
 Question 10
If (4446)x + (2222)x = (10001)x then value of (2342)x - (1656)x = (?)x
 A 453 B 353 C 893 D 686
Arithmetic Aptitude    GATE 2017 Mock
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Question 10 Explanation:
in base 10 we know 6+2= 8 but in this question it is given 1 so we have to find the base of these numbers.
Now let the base be x so 6+2=8 -x= 1 thus base =7 (because in base 7, 8 will be represented as 1 carry and 1 addition ).
Now subtracting given numbers in base 7. There are 22 questions to complete.
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