# Arithmetic Aptitude 6

1
 Question 1
Which digits should come in place of * and \$ if the number 4675*2\$ is divisible by both 5 & 8?
 A 4, 0 B 4, 5 C 1, 0 D 8, 0
Arithmetic Aptitude 6    Number Divisibility
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Question 1 Explanation:
Since the given number is divisible by 5, 0 or 5 must come in place of \$. But a number ending with 5 is never divisible with 8 because a divisible number must be even. Therefore 0 will replace \$. If the number is divisible by 8, the number formed by last three digits must be divisible by 8. The number *20 must be divisible by 8. Among all 4 options, only placing 1 in place of * makes it divisible by 8.
 Question 2
What least number must be added to 4000 to obtain a number exactly divisible by 17?
 A 12 B 14 C 15 D 13
Arithmetic Aptitude 6    Number Divisibility
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Question 2 Explanation:
```Let us divide 4000 by 17.

17) 4000 (235
34
….
60
51
…..
90
85
…..
5

We get 5 as remainder.
Number to be added = 17-5 = 12```
 Question 3
What least number must be subtracted from 5000 to get a number exactly divisible by 23?
 A 10 B 2 C 7 D 9
Arithmetic Aptitude 6    Number Divisibility
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Question 3 Explanation:
```Let us divide 5000 by 23.

23) 5000 (217
46
….
40
23
….
170
161
…..
9

We get 9 as remainder.

Therefore required number to be subtracted = 9```
 Question 4
The largest 4 digit number exactly divisible by 5, 6 and 7 is:
 A 9980 B 9870 C 9540 D 9640
Arithmetic Aptitude 6    Number Divisibility
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Question 4 Explanation:
```The required number must be divisible by L.C.M. of 5,6 and 7.
L.C.M. of 5, 6 and 7 = 5 x 6 x 7 = 210

Let us divide 9999 by 210.

210) 9999 (47
840
----
1599
1470
----
129

Required number = 9999 – 129 = 9870```
 Question 5
34. What should be the next number in below series? 3, 8, 15, 24, 35……..
 A 44 B 47 C 48 D 49
Arithmetic Aptitude 6    Number Divisibility
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Question 5 Explanation:
```Pattern is (22- 1), (32- – 1), (42- – 1), (52- – 1), ....

Next number will be = 72- – 1 = 49 – 1 = 48```
 Question 6
The average of 21 results is 20. Average of 1st 10 of them is 24 that of last 10 is 14. the result of 11'th is :
 A 42 B 44 C 46 D 40
Arithmetic Aptitude 6    Numbers
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Question 6 Explanation:
``` 11'th result = sum of 21 results – sum of 20 results
= 21 x 20 – (24 x 10 + 14 x 10)
= 420 – (240 + 140)
= 420- 380 = 40```
There are 6 questions to complete.
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