Number System problems
- 1. Three - fourth of number is more than two-third of the number by 5. The number is?
Options- A. 72
- B. 60
- C. 84
- D. 48 Discuss
Correct Answer: 60
Explanation:
Let the number be N.
Then, 3N/4 - 2N/3 = 5
? (9N - 8N) / 12 = 5
? N = 60
- 2. What number must be added to numerator and denominator of 3/4 to give 11/12?
Options- A. 5
- B. 6
- C. 7
- D. 8 Discuss
Correct Answer: 8
Explanation:
Let (3 + x)/ (4 + x) = 11/12.
Then, 12(13 + x) = 11 (4 + x)
? x = 44 - 36 = 8
- 3. Three number are in the ratio 4 : 5 : 6 and their average is 25. The largest number is?
Options- A. 42
- B. 36
- C. 30
- D. 32 Discuss
Correct Answer: 30
Explanation:
Let the number be 4N, 5N and 6N
Then, 4N + 5N + 6N/3 = 25
or 15N = 75
or N = 5
Then largest number = 6N = 6 x 5 = 30
- 4. The sum of three consecutive odd number is 57. The middle one is?
Options- A. 19
- B. 21
- C. 23
- D. 17 Discuss
Correct Answer: 19
Explanation:
Let the requirement odd integers be N, N +2 and N + 4
Then, N + (N + 2) + (N + 4) = 57
? 3N = 51
? N = 17
? The integers are 17, 19, 21.
- 5. A number when divided by 6 is diminished by 40. The number is?
Options- A. 72
- B. 84
- C. 60
- D. 48 Discuss
Correct Answer: 48
Explanation:
Let the required number be N,
Then, N/6 = N - 40
? N + 240 = 6N
? N = 48.
- 6. Divide 50 into two parts so that the sum of their reciprocals is 1/12?
Options- A. 20, 30
- B. 24, 26
- C. 28, 22
- D. 36, 14 Discuss
Correct Answer: 20, 30
Explanation:
Let the number be N and (50 - N)
Then, 1/N + 1/(50-N) = 1/12
? (50 - N + N) / {N(50 - N)} = 1/12
? N2 - 50N + 600 = 0
? N = 30 or 20
? the number are 20, 30
- 7. The ratio between two numbers is 2 : 3. If the consequent is 24, the antecedent is?
Options- A. 36
- B. 16
- C. 48
- D. 72 Discuss
Correct Answer: 16
Explanation:
Let the antecedent be N.
Then, N/24 = 2/3
? N = (24 x 2) / 3
= 16
- 8. If a number is subtracted from the square of its one half, the result is 48. The square root of the number is?
Options- A. 4
- B. 5
- C. 6
- D. 8 Discuss
Correct Answer: 4
Explanation:
Let the number be N.
Then (N/2)2 - N = 48
? N2/4 - N = 48
?N2 - 4N-192= 0
? (N-16) (N+12) = 0
? N = 16
? The square root of the number is 4.
- 9. The sum of three consecutive number is given. What is the difference between first and third number?
Options- A. One
- B. Three
- C. Either (A) or (B)
- D. Two Discuss
Correct Answer: Two
Explanation:
Let the three consecutive numbers be x, x+1 and x+2 respectively
? Diff between first and third numbers = (x + 2) - x
= 2
- 10. A number gets reduced to its one-third, when 48 is subtracted from it. What is two-third of that number?
Options- A. 24
- B. 72
- C. 36
- D. None of these Discuss
Correct Answer: None of these
Explanation:
Let the number be N.
Then, N - N/3 = 48
2N/3 = 48.
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