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- Question
- 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
- Correct Answer
- 240
ExplanationLet the number be 3N and 4N.
Then, 3N + 4N = 420
? 7N = 420
? N = 60
? Greater number = 4 x 60 = 240 - 1. 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
- 2. Three fourth of one-fifth of a number is 60. The number is?
Options- A. 300
- B. 400
- C. 450
- D. 1200 Discuss
- 3. A number is 25 more than its two-fifth. The number is?
Options- A. 60
- B. 80
- C. 125/3
- D. 125/7 Discuss
- 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
- 5. 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
- 6. 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
- 7. 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
- 8. The sum of two number is 29 and the difference of their squares is 145. The difference between the number is?
Options- A. 13
- B. 5
- C. 8
- D. 11 Discuss
- 9. The difference of two number is 5 and the difference of their squares is 135. The sum of the number is?
Options- A. 27
- B. 25
- C. 30
- D. 32 Discuss
- 10. If 1 is added to the denominator of fraction, the fraction becomes 1/2. If 1 is added to the numerator, the fraction becomes 1. The fraction is?
Options- A. 4/7
- B. 5/9
- C. 2/3
- D. 10/11 Discuss
Number System problems
Search Results
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
Correct Answer: 400
Explanation:
Let the required number be N.
So 3/4 x 1/5 x N = 60
? 3N / 20 = 60
? N = 400
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
Correct Answer: 50
Explanation:
Let the number be N.
Then, N/5 - 5 = 5
? N - 25 = 25
? N = 50
Correct Answer: 76
Explanation:
Let the original number be N.
So from question N - 3N/4 = 19
? 4N - 3N = 76
? N = 76
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
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.
Correct Answer: 5
Explanation:
Let the number be a and b
Then, (a-b) = (a2 - b2) / a+b
= 145/29
= 5
Correct Answer: 27
Explanation:
Let the number be a and b.
Then, (a + b) = (a2 -b2) / (a-b)
= 135/5
= 27
Correct Answer: 2/3
Explanation:
Let the required fraction be x/y
Then, x/(y + 1) = 1/2
? 2x - y = 1 ...(1)
(x + 1) / y = 1
? x - y = -1 ...(2)
Solving Eq. (1) and (2)
We get x = 2, y = 3
? The fraction is 2/3
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