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- Question
- The remainder when 9 19 + 6 is divided by 8 is
Options- A. 2
- B. 3
- C. 5
- D. 7
- Correct Answer
- 7
Explanation(919 + 6 ) / 8 = [( 8 + 1 )19 + 6] / 8
? Required remainder = ( 119 + 6 ) / 8
? Remainder = 7 - 1. A common factor of ( 41 43 + 43 43 ) and ( 41 41 + 43 41 ) is ...
Options- A. ( 43 - 41 )
- B. ( 4141 + 4341 )
- C. ( 4143 + 4343 )
- D. ( 43 + 41 ) Discuss
- 2. What is the remainder when 4 1000 is divisible by 7?
Options- A. 1
- B. 2
- C. 4
- D. None of these. Discuss
- 3. When 17 200 divided by 18, find the remainder.
Options- A. 1
- B. 4
- C. 5
- D. 3 Discuss
- 4. Which one of the following number is divisible by 11?
Options- A. 45678940
- B. 54857266
- C. 87524398
- D. 93455120 Discuss
- 5. How many numbers between -11 and 11 are multiple of 2 or 3
Options- A. 11
- B. 14
- C. 15
- D. None of these Discuss
- 6. What will be remainder when 19 100 is divided by 20?
Options- A. 19
- B. 29
- C. 3
- D. 1 Discuss
- 7. It is given that ( 2 32 + 1 ) is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number?
Options- A. ( 216 + 1 )
- B. ( 216 - 1 )
- C. 7 x 213
- D. ( 296 + 1 ) Discuss
- 8. 7 12 - 4 12 is exactly divisible by which of the following number?
Options- A. 34
- B. 33
- C. 35
- D. 36 Discuss
- 9. If 'a' is a natural number, then the largest number dividing ( a 3 - a) is
Options- A. 4
- B. 5
- C. 6
- D. 7 Discuss
- 10. 19 5 + 21 5 is divisible by
Options- A. Only 10
- B. Only 20
- C. Both 10 and 20
- D. Neither 10 nor 20 Discuss
Number System problems
Search Results
Correct Answer: ( 43 + 41 )
Explanation:
We know that when m is a odd number ( xm + am ) is divisible by ( x + a ).
? Each one is divisible by (41 + 43).
So Common factor = (41 + 43).
Correct Answer: 4
Explanation:
Remainder of 41000/7 = (42)500/7 = (16)500/7
= 2500/7
= Remainder of 4 x 8166/7
= 4
Correct Answer: 1
Explanation:
We know that, ( xm - am ) is divisible by ( x + a ), for even value of m.
? 17200 - 1200 is divisible by 17 +1
? 17200 - 1 is divisible by 18.
Hence when 17200 divided by 18 the remainder is 1.
Correct Answer: 93455120
Explanation:
We know that, a number is divisible by 11 when the sum of the difference between the sum of its digit at even places and sum of its digit at odd places is either 0 or the difference is divisible by 11.
For 93455120
Sum of even places = 3 + 5 + 1 + 0 = 9
Sum of odd places = 9 + 4 + 5 + 2 = 20
There difference = 20 - 9 = 11
which is divisible by 11 so 93455120 is divisible by 11.
Correct Answer: 15
Explanation:
Number between 0 and 11 which are multiple of 2 or 3
= 11/2 + 11/3 - 11/6 = 5 + 3 - 1
= 7
Number between 0 and -11 which are multiple of 2 or 3
= 11/2 + 11/3 - 11/6 = 5 + 3 - 1
= 7
? Number be 15, including 0
Correct Answer: 1
Explanation:
19100 = ( 20 -1 )100
? ( -1 )100 / 20
? 1 / 20
? Required Remainder = 1
Correct Answer: ( 296 + 1 )
Explanation:
Let 232 = x and let ( 232 + 1 ) = ( x + 1 )
( 296 + 1 ) = ( x3 + 1 ) = ( x + 1 )( x2 -x + 1 )
Which is clearly divisible by n as ( x + 1 ) is divisible by n.
Correct Answer: 33
Explanation:
xn - yn is divisible by x + y and x - y for all n.
712 - 412 is divisible by 7 + 4 and 7 - 4
? 712 - 412 is divisible by 11 x 3 = 33
Correct Answer: 6
Explanation:
( 23 - 2) = 6 is the largest natural number that divides ( a3 - a) for every number a.
Correct Answer: Both 10 and 20
Explanation:
We can check divisibility of 195 + 215 by 10 by adding the unit digit of 95 + 15 which is equal to 9 + 1 = 10.
So it must be divisible by 10.
Now, for divisibility by 20 we add 19 and 21 which is equal to 40. So, it is clear that it is also divisible by 20.
So 195 + 215 is divisible by both 10 and 20
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