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Aptitude - Numbers

Exercise : Numbers - General Questions
91.
Which one of the following is a prime number ?
161
221
373
437
None of these
Answer: Option
Explanation:

437 > 22

All prime numbers less than 22 are : 2, 3, 5, 7, 11, 13, 17, 19.

161 is divisible by 7, and 221 is divisible by 13.

373 is not divisible by any of the above prime numbers.

373 is prime.

92.
The smallest 6 digit number exactly divisible by 111 is:
111111
110011
100011
110101
None of these
Answer: Option
Explanation:
The smallest 6-digit number 100000.

 111) 100000 (900
      999
      -----
        100
        ---

 Required number = 100000 + (111 - 100)
                 = 100011.
93.
The largest 5 digit number exactly divisible by 91 is:
99921
99918
99981
99971
None of these
Answer: Option
Explanation:
Largest 5-digit number = 99999

 91) 99999 (1098
     91
     ---
     899
     819
     ----
      809
      728
      ---
       81
      ---
 
 Required number = (99999 - 81)
                 = 99918.
94.
768 x 768 x 768 + 232 x 232 x 232 = ?
768 x 768 - 768 x 232 + 232 x 232
1000
536
500
268
None of these
Answer: Option
Explanation:
Given Exp. = (a3 + b3) = (a + b) = (768 + 232) = 1000
(a2 - ab + b2)
95.
The smallest 5 digit number exactly divisible by 41 is:
1004
10004
10045
10025
None of these
Answer: Option
Explanation:
The smallest 5-digit number = 10000.

 41) 10000 (243
     82
     ---
     180
     164
     ----
      160
      123
      ---
       37
      --- 

 Required number = 10000 + (41 - 37)
                 = 10004.
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