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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Two partners invest Rs 12500 and Rs 8500 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets Rs 240 more than the other, find the total profit made in the business.

A) 3250 B) 4050
C) 3550 D) 3150
 
Answer & Explanation Answer: D) 3150

Explanation:

Clearly, If 60 % is equally divided then remaining 40% of total profit will be divided between 2 persons A and B in ratio of (profit of A) : (profit of B)= 12,500 : 8500 = 125 : 85 = 25:17
now difference in amount = 25-17 = 8 this difference = 240
therefore 40% of total profit = 240*(25+17)/(25-17) = 1260
∴ 100% profit = 1260 / 40 × 100 = 3150

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Filed Under: Partnership
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Q:

The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ?

A) 28 B) 19
C) 37 D) 46
 
Answer & Explanation Answer: A) 28

Explanation:

Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28
The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

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Filed Under: Numbers
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Q:

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ?

Question :

What is the height of a right-angled triangle ?

Statements :

A. The area of the triangle is 20 times its base.

B. The perimeter of the triangle is equal to that of a square of the side 10 cm.

A) Only statement A is required B) Only statement B is required
C) Both A & B are required D) Neither (A) nor (B) is reuired
 
Answer & Explanation Answer: A) Only statement A is required

Explanation:

From statement (A),

20b = (1/2) × b × h

h = 40 cm.

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Filed Under: Area
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Q:

2660 of 17 of 12 of 19.5 of 12 = ?

A) 1 B) 10
C) 0.1 D) 100
 
Answer & Explanation Answer: B) 10

Explanation:

17x12x19.5x12x 2660 = 2660266 = 10

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Filed Under: Simplification
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Q:

 A and B entered in a business by making investment of Rs. 4000 & Rs. 5500 respectively. After six months A & B withdrew Rs. 1000 and Rs. 1500 respectively and C joined them with capital of Rs. 4x. If after one year and three months C received Rs. 2250 as profit share out of total profit of Rs. 12250, then find investment of C? 

A)  Rs. 3600  B)  Rs. 3200 
C)  Rs. 4400  D)  Rs. 3000 
 
Answer & Explanation Answer: D)  Rs. 3000 

Explanation:

 Investment ratio of A, B & C = (4000 ×6+3000×9):(5500 ×6+4000×9):4

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Filed Under: Partnership
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Q:

The greatest possible value of n could be 9n < 108 if, given that log 3 = 0.4771 and n∈N:

A) 7 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: B) 8

Explanation:

 

Taking Log to both sides 

 we get

 n = 8           

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Filed Under: Logarithms
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Q:

There are 1650 students in a college. The difference between the number of boys and girls in the college is 400. What is the percentage of girls in the college ?

A) 49 B) 34
C) 43 D) 38
 
Answer & Explanation Answer: D) 38

Explanation:

Let no. of boys be 'B' and no. of girls be 'G'

Here from given data,

B + G = 1650 .....(1)

B - G = 400 .....(2)

From (1) & (2), we get

2B = 2050

=> B = 1025

=> G = 1650 - 1025 = 625

Hence, the % of girls = 625 x 100/1650

=> 38% (approx).

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Filed Under: Percentage
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Q:

What was the day of the week on 17th June, 1998?

A) Wednesday B) Saturday
C) Friday D) Tuesday
 
Answer & Explanation Answer: A) Wednesday

Explanation:

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)

Odd days in 1600 years = 0

Odd days in 300 years = (5 x 3) 1

97 years has 24 leap years + 73 ordinary years.

Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.

Jan. Feb. March April May June

(31 + 28 + 31 + 30 + 31 + 17) = 168 days

168 days = 24 weeks = 0 odd day.

Total number of odd days = (0 + 1 + 2 + 0) = 3.

Given day is Wednesday

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Filed Under: Calendar

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