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**1) The difference between a number and its three- fifth is 50. What is the number ?**

- 75
- 100
- 125
- None of these

**Answer**- c) 125
**Explanation**-
Let the number be x.

Then, x-3/5x = 50 <=> 2/5x = 50 <=> x = (50*5/2) = 125.

**2) If a number is increased by 4 and divided by 6, the result is 8. What would be the result if 2 is subracted from the number and then it is divided by 5. **

- 9*2/3
- 10
- 10*1/5
- 11*1/5

**Answer**- b) 10
**Explanation**-
Let the number be x. Then, x-4/6 = 8 <=> x-4 = 48 <=> x=52.

x-2/5 = 52-2/5 = 50/5 = 10.

**3) If one-third of one fourth of a number is 15, then three-tenth of that number is :**

- 35
- 36
- 45
- 54

**Answer**- d) 54
**Explanation**-
Let the number be x.

Then, 1/3 of 1/4 of x=15 <=> x = 15 * 12 = 180.

So, required number = (3/10 * 180) = 54.

**4) A number is doubled and nine is added. If the resultant is trebled, it becomes 75. What is that number ?
**

- 3.5
- 6
- 8
- None of these

**Answer**- c) 8
**Explanation**-
Let the number be x.

Then, 3(2x + 9) = 75 <=> 2x + 9 = 25 <=> 2x=16 <=> x=8.

**5)
Three-fourth of a number is 60 more than its one third. The number is : **

- 84
- 108
- 144
- None of these

**Answer**- c) 144
**Explanation**-
Let the number be x.

Then, 3/4x-1/3x = 60 <=> 5x/12 = 60 <=> x=(60*12/5) = 144.