Quantitative Aptitude - Arithmetic Ability Questions

Q:

A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.

A) 14 B) 13
C) 12 D) 11
 
Answer & Explanation Answer: A) 14

Explanation:

Distance covered in one revolution = 88×10001000= 88m. 

 

2πR2=88  2×227×R=88  R=88×744

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Filed Under: Area
Exam Prep: Bank Exams
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23 26421
Q:

A and B enter into partnership. A supplies whole of the capital amounting to Rs. 45000 with the condition that the profits to be equally divided and that B pays A interest on half of the capital at 10% per annum, but receives Rs. 120 per month for carrying on the concern.Find their total yearly profit when B's income is one half of A's income.

Answer

Let the total profit be Rs. x


Amount paid to B as salary = (120 x 12)


                                       = Rs.1440


Share of each = \inline (\frac{x-1440}{2})


Interest paid by B = \inline \frac{22500\times 10}{100}=Rs.2250


Total money received by  A = \inline \frac{x-1440}{2}+2250


                                       = Rs.\inline (\frac{x+3060}{2})


Total money received by B


\inline [(\frac{x-1440}{2})+1440-2250]= (\frac{x-3060}{2})


\inline \Rightarrow \frac{1}{2}-(\frac{x+3060}{2})-(\frac{x-3060}{2})


\inline \Rightarrow x=9180 

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Subject: Partnership

60 26396
Q:

The calendar for the year 1993 will be same for the year

A) 1999 B) 2004
C) 2010 D) 2021
 
Answer & Explanation Answer: A) 1999

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 1993, Which is a non leap year.

Step 1 : Add +11 to the given year (i.e 1993 + 11) = 2004, Which is a leap year. 

Step 2 : Add +6 to the given year (i.e 1993 + 6) = 1999

Therfore, The calendar for the year 1993 will be same for the year 1999

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Filed Under: Calendar

116 26392
Q:

Find the volume (in cm3) of a hemisphere of diameter 14 cm.

 

 

A) 512.33 B) 718.67
C) 628 D) 825
 
Answer & Explanation Answer: B) 718.67

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

1 26350
Q:

Find the area of a right-angled triangle whose base is 12 cm and hypotenuse is 13cm.

A) 30 B) 40
C) 50 D) 60
 
Answer & Explanation Answer: A) 30

Explanation:

Height of the triangle = 132-122=25 = 5 cm.

 

Its area =12*base*height12*12*530cm2.

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49 26338
Q:

Arrange the fractions 3/4, 5/12, 13/16, 16/29, 3/8 in their descending order of magnitude.

 

A) 3/4 > 3/8 > 13/16 > 16/29 > 5/12 B) 3/8 > 5/12 > 16/29 > 3/4 > 13/16
C) 13/16> 3/4 >16/29 > 5/12 > 3/8 D) 13/16 > 16/29 > 3/4 > 5/12 > 3/8
 
Answer & Explanation Answer: C) 13/16> 3/4 >16/29 > 5/12 > 3/8

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 26327
Q:

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days what is time taken by 15 men and 20 boys?

A) 4 days B) 6 days
C) 7 days D) 5 days
 
Answer & Explanation Answer: A) 4 days

Explanation:

Given that 

6 men and 8 boys can do a piece of work in 10 days 

26 men and 48 boys can do the same in 2 days

 

As the work done is equal,

10(6M + 8B) = 2(26M + 48B)

60M + 80B = 52M + 96B

=> M = 2B

=> B = M/2 ……(1)

 

Now Put (1) in 15M + 20B

=> 15M + 10M = 25M

Now, 6M + 8B in 10 days

=> (6M + 4M) 10 = 100M

Then D(25M) = 100M

=> D = 4 days.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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33 26308
Q:

The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures  of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5?

A) 7:3 B) 5:3
C) 8:5 D) 2:7
 
Answer & Explanation Answer: B) 5:3

Explanation:

W1:A1  W2:A2  ..... WN:AN

  2 : 3                   4 : 5                    5 : 7 

 

W1W1+A1 = 25 W2W2+A2=49  WNWN+AN = 512

= 72/180

= 80/180

= 75/180  

                     

 

 =>     5   :   3

 

Therefore, the ratio is  5: 3

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

49 26307