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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Two partners investede Rs. 1250 and Rs. 850 respectively in a business. They distributed 60% of the profit equally and decide to distribute the remaining 40% as the ratio of their capitals. If one partner received Rs. 30 more than the other, find the total profit?

Answer

Let the total profit be Rs.x


60% of the profit = \inline \frac{60}{100}\times x=Rs.\frac{3x}{5}


from  this part of the profit each gets = Rs.\inline \frac{3x}{10}


40% of the profit = \inline \frac{40}{100}\times x=Rs.\frac{2x}{5}


Now, this amount of Rs.\inline \frac{2x}{5} has been divided in the ratio of capitals 1250 : 850 = 25 :17


\inline \therefore Share on first capital = \inline (\frac{2x}{5}\times \frac{25}{42})=Rs.\frac{5x}{21}


Share on second capital = \inline (\frac{2x}{5}\times \frac{17}{42})=Rs.\frac{17x}{105}


Total money received by 1st investor = \inline [\frac{3x}{10}+\frac{5x}{21}]= Rs.\frac{113x}{210}


Total money received by 2nd investor = \inline [\frac{113x}{210}+\frac{97x}{210}]=Rs.\frac{97x}{210}


\inline \therefore x = 393.75


Hence total profit = Rs. 393.75

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Subject: Partnership

102 33475
Q:

A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?

A) 34 B) 36
C) 35 D) 37
 
Answer & Explanation Answer: D) 37

Explanation:

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

41 33440
Q:

If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?

A) 31/25 B) 15/17
C) 14/25 D) 11/16
 
Answer & Explanation Answer: B) 15/17

Explanation:

The original fraction is  2551 × 350+100150+100  = 15/17.

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Filed Under: Percentage
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

61 33420
Q:

How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m

A) 5600 B) 600
C) 6400 D) 7200
 
Answer & Explanation Answer: C) 6400

Explanation:

No. of bricks= volume of the wall/volume of 1 brick

= (800 x 600 x 22.5) / (25 x 11.25 x 6) = 6400

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

62 33351
Q:

The volume of a hemisphere is 2425.5 cm³. Find its diameter (in cm).

 

A) 10.5   B) 42
C) 21 D) 31.5
 
Answer & Explanation Answer: C) 21

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 33347
Q:

Read the data given and answer the following questions

 

In a class of 60 students:

 

42 like Maths,

32 like English,

12 like neither Maths nor English

 

How many students like exactly one subject?

A) 16 B) 12
C) 6 D) 22
 
Answer & Explanation Answer: D) 22

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

2 33343
Q:

The circumference of a circle is 66 cm. Find its radius (in cm).

 

A) 21 B) 10.5
C) 4.5 D) 9
 
Answer & Explanation Answer: B) 10.5

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

4 33305
Q:

On a sum of money, the simple interest for 2 years is Rs. 660,while the compound interest is Rs.696.30,the rate of interest being the same in both the cases. The rate of interest is

A) 10% B) 11%
C) 12% D) 13%
 
Answer & Explanation Answer: B) 11%

Explanation:

Difference in C.I and S.I for 2 years

= Rs(696.30-660)

=Rs. 36.30.

 

S.I for one years = Rs330.

S.I on Rs.330 for 1 year =Rs. 36.30 

 

Rate

= (100x36.30/330x1)%

= 11%

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

42 33278