Quantitative Aptitude - Arithmetic Ability Questions

Q:

A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of  6 : 5 : 4. Find the total earnings, If B earns Rs. 250 more than A :

A) Rs. 6000 B) Rs. 7250
C) Rs. 5000 D) None of these
 
Answer & Explanation Answer: B) Rs. 7250

Explanation:

                                         A                  B                   C

 

investment                    3x                 4x                  5x

 

Rate of return              6y%              5y%                4y%

 

Return                        18xy100  20xy100  20xy100                

 

               Total = (18+20+20) = 58xy100

 

     B's earnings - A's earnings  = 2xy100 = 250

 

     Total earning = 58xy100 = 7250

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Filed Under: Profit and Loss
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67 23424
Q:

A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.600 more. What was the Sum?

A) Rs.1200 B) Rs.1300
C) Rs.1400 D) Rs.1500
 
Answer & Explanation Answer: A) Rs.1200

Explanation:

At 5% more rate, the increase in S.I for 10 years = Rs.600  (given)

So, at 5% more rate, the increase in SI for 1 year = 600/10 = Rs.60/-

i.e. Rs.60 is 5% of the invested sum

So, 1% of the invested sum = 60/5

Therefore, the invested sum = 60 × 100/5 = Rs.1200

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

35 23407
Q:

The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is :

A) 6000 B) 7000
C) 8888 D) 9000
 
Answer & Explanation Answer: D) 9000

Explanation:

Let their prices be 3x,  5x and 7x.

Then, 3x + 5x + 7x = (15000 * 3) or x = 3000.

Cost of cheapest item = 3x = Rs. 9000.

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Filed Under: Average

26 23405
Q:

What will come in place of the question mark in the series below?

3, 5, 15, 45, 113, ?

A) 250 B) 243
C) 247 D) 261
 
Answer & Explanation Answer: B) 243

Explanation:

Ans. 
5 = 3 + (13 + 1)
15 = 5 + (23 + 2)
45 = 15 + (33 + 3)
113 = 45 + (43 + 4)
? = 113 + (53 + 5), i.e. ? = 243

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Filed Under: Numbers
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Q:

What was the day of the week on 16th August, 1947?

A) Sunday B) Monday
C) Saturday D) Thursday
 
Answer & Explanation Answer: C) Saturday

Explanation:

15th August, 1947 = (1946 years + Period from 1st Jan., 1947 to 15th )

 

Counting of odd days:

 1600 years have 0 odd day. 300 years have 1 odd day.

 

 47 years = (11 leap years + 36 ordinary years)= [(11 x 2) + (36 x 1) ]odd days = 58 odd days = 2 odd days.

 

Jan  Feb  Mar  Apr  May  Jun  Jul  Aug.

31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 227 days = (32 weeks + 3 days) = 3,

 

Total number of odd days = (0 + 1 + 2 + 3) odd days = 6 odd days.

 

Hence, the required day was 'Saturday'.

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Filed Under: Calendar

86 23344
Q:

There are 7 non-collinear points. How many triangles can be drawn by joining these points?

A) 10 B) 30
C) 35 D) 60
 
Answer & Explanation Answer: C) 35

Explanation:

A triangle is formed by joining any three non-collinear points in pairs.

 

There are 7 non-collinear points

 

The number of triangles formed = 7C3 = 35

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15 23336
Q:

What will come in place of the question mark (?) in the following number series?

3240, 540, 108, 27, ?, 4.5

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

Explanation:

Ans. 
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9

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Filed Under: Numbers
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1 23320
Q:

If the standard deviation of a population is 3, what would be the population variance?

 

A) 9 B) 6
C) 8 D) 15
 
Answer & Explanation Answer: A) 9

Explanation:
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Filed Under: Probability
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