Discussion
Home ‣ Aptitude ‣ Number System Comments
- Question
- What least value must be given to * so that the number 91876 * 2 is divisible by 8?
Options- A. 1
- B. 2
- C. 3
- D. 4
- Correct Answer
- 3
ExplanationBy hit and trial we find that 632 is divisible by 8. So, * must replaced by 3.
- 1. Which of the following numbers is exactly divisible by 99?
Options- A. 3572404
- B. 135792
- C. 913464
- D. 114345 Discuss
- 2. (1 - 1/3) (1 - 1/4) (1 - 1/5 )... (1 - 1/n ) =?
Options- A. 1/n
- B. 2/n
- C. 2(n - 1)/n
- D. 2(n + 1)/n Discuss
- 3. When simplified, the product ( 2 - 1/3) (2 - 3/5) (2 - 5/7) ...... (2 - 997/999) is equal to?
Options- A. 5/999
- B. 1001/999
- C. 1001/3
- D. None of these Discuss
- 4. In a two digit number, the digital unit place is 1 more than twice of the digit at ten's place. If the digit at unit's and ten's place be interchanged, then the difference between the new number and original number is less than 1 to that of original number. what is the original number?
Options- A. 52
- B. 73
- C. 25
- D. 37 Discuss
- 5. The ratio of two number is 3:2, If 10 and the sum of the two numbers are added to their product, square of sixteen is obtained. What could be the smaller number?
Options- A. 14
- B. 12
- C. 16
- D. 18 Discuss
- 6. What least value must be given to * so that the number 6135 * 2 is exactly divisible by 9?
Options- A. 0
- B. 1
- C. 2
- D. 3 Discuss
- 7. What least value must be given to * so that the number 97215*6 is divisible by 11?
Options- A. 1
- B. 2
- C. 3
- D. 5 Discuss
- 8. What least number must be added to 1056 get a number exactly divisible by 23?
Options- A. 21
- B. 25
- C. 3
- D. 2 Discuss
- 9. The number (10 n-1) is divisible by 11 for?
Options- A. All Values of n
- B. Odd values of n
- C. Even values of n
- D. n = multiples of 11 Discuss
- 10. Which of the following numbers is prime?
Options- A. 119
- B. 187
- C. 247
- D. None of these Discuss
Number System problems
Search Results
Correct Answer: 114345
Explanation:
To determine if a number is divisible by 99 it needs to be divisible by 9 and 11.
Divisible by 9 test. If sum of digits is divisible by 9 then the number is divisible by 9.
Divisible by 11 test. If sum of ODD positioned digits minus the sum of the EVEN positioned digits is divisible by 11 then the number is divisible by 11.
Clearly 114345 is divisible by 9 as well as 11. so,it is divisible by 99.
Correct Answer: 2/n
Explanation:
Given Exp.= (1 - 1/3) (1 - 1/4) (1 - 1/5)...(1 - 1/n)
= (2/3) x (3/4) x (4/5) x ... x (n-1/n)
= 2/n.
Correct Answer: 1001/3
Explanation:
Given Exp. ( 2 - 1/3) (2 - 3/5) (2 - 5/7) ...... (2 - 997/999)
= (5/3) x (7/5) x (9/7) x .......... x (1001/999)
= 1001/3.
Correct Answer: 37
Explanation:
Let the original number be 10p + q.
So from question,
q = 2p + 1 ...(i)
and (10q + p) - (10p + q ) = (10p + q) - 1
? 9q - 9p = 10p + q -1
? 19p - 8q = 1...(ii)
Putting the value of (i) in equation (ii) we get
19p - 8(2p + 1) = 1
? 19p - 16p - 8 = 1
? 3p = 9
? p = 3
So, q = 2 x 3 + 1 = 7
? Original number = 10 x 3 + 7 = 37
Correct Answer: 12
Explanation:
Let the two numbers be 3N and 2N
According to the question.
10 + (3N +2N ) + (3N x 2N) = 162
? 6N2 + 5N - 246 = 0
? 6N2 + 41N - 36N - 246 = 0
? N(6N + 41 ) - 6(6N + 41) = 0
? (6N + 41 ) (N - 6) = 0
? N = 6 or -41/6 (But -ve value cannot be accepted )
? Smaller number = 2N = 2 x 6 = 12 .
Correct Answer: 1
Explanation:
6 + 1 + 3 + 5 + x + 2 = 17 + x must be divisible by 9.
So, x =1.
Correct Answer: 3
Explanation:
If sum of ODD positioned digits minus the sum of the EVEN positioned digits is divisible by 11 then the number is divisible by 11.
Sum of odd positioned digits - sum of even positioned digits = (9 + 2 + 5 + 6) - (7 + 1 + x) =14 - x
It must be divisible by 11. So x = 3.
Correct Answer: 2
Explanation:
On dividing 1056 by 23, we get 21 as remainder
? Required number to be added = (23 - 21 ) = 2.
Correct Answer: Even values of n
Explanation:
For even values of n, the number (10n - 1 ) consists of even numbers of nines and hence it will be divisible by 11.
Correct Answer: None of these
Explanation:
119 is divisible by 7, 187 is divisible by 11,247 is divisible by 13 and 551 is divisible by 19. So none of the given numbers is prime.
Comments
There are no comments.More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.