Arithmetic Aptitude 6

Question 1

Which digits should come in place of * and # if the number 4675*2# is divisible by both 5 & 8?

Cross

4, 0

Cross

4, 5

Tick

1, 0

Cross

8, 0



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?
Tick
12
Cross
14
Cross
15
Cross
13


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

Gaurav is having 5000 chocolates and he decides to distribute these among his 23 friends. To make sure that every friend gets equal number of chocolates, he decides to eat x number of chocolates. What can be the minimum value of x?

Cross

10

Cross

2

Cross

7

Tick

9



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

X is a positive 4 digit number. Find the largest possible value of X, such that on dividing with 5, 6, 7 it gives the remainder zero.

Cross

9980

Tick

9870

Cross

9540

Cross

9640



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……..
Cross
44
Cross
47
Tick
48
Cross
49


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 :
Cross
42
Cross
44
Cross
46
Tick
40


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.

  • Last Updated : 20 Oct, 2015

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