Number System problems
- 1. A number is as much greater than 31 is less than 55. The number is?
Options- A. 47
- B. 52
- C. 39
- D. 43 Discuss
Correct Answer: 43
Explanation:
Let the number be x.
Then, x - 31 = 55 - x
? 2x = 55 + 31= 86
? 2x = 86
? x = 43
- 2. 1/4 of a number subtracted from 1/3 of the same number gives 12. The number is?
Options- A. 144
- B. 120
- C. 72
- D. 63 Discuss
Correct Answer: 144
Explanation:
Let the required number is N.
Then, N/3 - N/4 = 12.
? 4N - 3N = 144
? N = 144
- 3. 3/4 of a number is 19 less than the original number. The number is?
Options- A. 84
- B. 64
- C. 76
- D. 72 Discuss
Correct Answer: 76
Explanation:
Let the original number be N.
So from question N - 3N/4 = 19
? 4N - 3N = 76
? N = 76
- 4. If one-fifth of a number decreased by 5 is 5, then the number is?
Options- A. 25
- B. 50
- C. 60
- D. 75 Discuss
Correct Answer: 50
Explanation:
Let the number be N.
Then, N/5 - 5 = 5
? N - 25 = 25
? N = 50
- 5. A number is 25 more than its two-fifth. The number is?
Options- A. 60
- B. 80
- C. 125/3
- D. 125/7 Discuss
Correct Answer: 125/3
Explanation:
Let the number be N.
So from question 2N/5 + 25 = N
? 2N + 125 = 5N
? 3N = 125
? N = 125/3
- 6. Three fourth of one-fifth of a number is 60. The number is?
Options- A. 300
- B. 400
- C. 450
- D. 1200 Discuss
Correct Answer: 400
Explanation:
Let the required number be N.
So 3/4 x 1/5 x N = 60
? 3N / 20 = 60
? N = 400
- 7. The difference between the squares of two consecutive number is 35. The number are?
Options- A. 14, 15
- B. 15, 16
- C. 17, 18
- D. 18, 19 Discuss
Correct Answer: 17, 18
Explanation:
Let the two number be x and (x + 1)
Then, (x+1)2 - x2 = 35
? 2x = 34
? x = 17
So, the number are 17 and 18
- 8. The ratio between two numbers is 3:4 and their sum is 420. The greater of two number is?
Options- A. 175
- B. 200
- C. 240
- D. 315 Discuss
Correct Answer: 240
Explanation:
Let the number be 3N and 4N.
Then, 3N + 4N = 420
? 7N = 420
? N = 60
? Greater number = 4 x 60 = 240
- 9. The sum of two number is 100 and their difference is 37. The difference of their squares is?
Options- A. 37
- B. 100
- C. 63
- D. 3700 Discuss
Correct Answer: 3700
Explanation:
Let the numbers be a and b.
Then, a + b = 100 and a - b = 37
? a2 - b2 = (a+b) (a-b)
= 100 x 37
= 3700
- 10. The difference of two number is 8 and 1/8th of their sum is 35. The number are?
Options- A. 132, 140
- B. 128, 136
- C. 124, 132
- D. 136, 144 Discuss
Correct Answer: 136, 144
Explanation:
Let the number be x and (x + 8)
Then, 1/8[x + (x + 8)] = 35
? 2x + 8 = 280
? 2x = 270
? x = 136
So, the number are 136 and 144.
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.