Quantitative Aptitude - Arithmetic Ability Questions

Q:

The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs. 405. What was the rate of interest p.c.p.a. ?

A) 12% B) 13%
C) 14% D) 15%
 
Answer & Explanation Answer: D) 15%

Explanation:

Let the rate be R% p.a. Then,

 

18001+R1002-1800-1800*R*2100=405

1800100+R210000-1-2R100=405

 1800100+R2-10000-200R10000=405

95*R2=405 R2=405*59=225R=15 
Rate = 15%.

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

23 27550
Q:

There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

A) 1/2 B) 3/4
C) 4/7 D) 3/8
 
Answer & Explanation Answer: D) 3/8

Explanation:

Total cases of checking in the hotels = 4 x 4 x 4 = 64 ways.

Cases when 3 men are checking in different hotels = 4×3×2 = 24 ways.

Required probability =24/64  = 3/8

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Filed Under: Probability

46 27545
Q:

In a City, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?

A) 324138 B) 349680
C) 509940 D) None of these
 
Answer & Explanation Answer: A) 324138

Explanation:

Total Population = 728400

 

Migrants = 35 % of 728400  =  254940

 

local population = (728400 - 254940) = 473460.

 

Rural migrants = 20% of 254940 = 50988

 

Urban migrants = (254940 - 50988) = 203952

 

Female population = 48% of 473460 + 30% of 50988 + 40% of 203952 = 324138                        

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Filed Under: Percentage

44 27519
Q:

If the area of a semi-circle is 693 cm2, then find its radius (in cm).

 

A) 42 B) 27
C)  21 D)  54
 
Answer & Explanation Answer: C)  21

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 27446
Q:

From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack?

A) 19/5525 B) 16/5525
C) 17/5525 D) 7/5525
 
Answer & Explanation Answer: B) 16/5525

Explanation:

Required probability:

 4C1*4C1*4C152C3=4*4*422100=165525

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Filed Under: Probability

27 27438
Q:

The year next to 2005 will have the same calendar as that of the year 2005?

A) 2016 B) 2022
C) 2011 D) None
 
Answer & Explanation Answer: C) 2011

Explanation:

NOTE :

Repetition of leap year ===> Add +28 to the Given Year.

Repetition of non leap year

Step 1 : Add +11 to the Given Year. If Result is a leap year, Go to step 2.

Step 2:  Add +6 to the Given Year.

 

Solution : 

Given Year is 2005, Which is a non leap year.

Step 1 : Add +11 to the given year (i.e 2005 + 11) = 2016, Which is a leap year. 

Step 2 : Add +6 to the given year (i.e 2005 + 6) = 2011

Therfore, The calendar for the year 2005 will be same for the year 2011

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Filed Under: Calendar

96 27433
Q:

The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?

A) 14 and 16 B) 13 and 27
C) 17 and 27 D) None of these
 
Answer & Explanation Answer: B) 13 and 27

Explanation:

Total no.of boys : no. of girls = 13:27

       27             :                13

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Filed Under: Alligation or Mixture

69 27415
Q:

A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the other, he gained 10%. His gain or loss percent in the entire transaction was:

A) 10% loss B) 1% loss
C) 1% gain D) Neither loss nor profit
 
Answer & Explanation Answer: B) 1% loss

Explanation:

Loss%= (common gain or loss % / 10)2 = (10/10)² % = 1%.

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Filed Under: Profit and Loss

56 27404