Quantitative Aptitude - Arithmetic Ability Questions

Q:

Three graziers A,B and C rent a piece of pasture for a month. A puts in 27 cattle for 19 days, B 21 for 17 days and C 24 for 23 days. If at the end of the month the rent amount to Rs.237, how much ought to be paid by each.

Answer

A's cattle = 27 x 19 = 513


B's cattle = 21 x 17 = 357


C's cattle = 24 x 23 = 552


Ratio of cattle = 513 : 357 : 552


                    = 171 : 119 : 184


 


payment to be made by A = \inline 237\times \frac{171}{474}


                                     = Rs.85.50


payment to be made by B = \inline 237\times \frac{119}{474}


                                     = Rs.59.50


payment to be made by C = \inline 237\times \frac{184}{474}


                                     = Rs.92

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Subject: Partnership

7 8272
Q:

A room is 15 feet long and 12 feet broad. A mat has to be placed on the floor of the room leaving 1.5 feet space from the walls. What will be the cost of the mat at the rate of Rs. 3.50 per squire feet?

A) 378 B) 472.5
C) 496 D) 630
 
Answer & Explanation Answer: A) 378

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

25 8263
Q:

A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:

A) A gain of Rs. 27 B) A loss of Rs. 37
C) A loss of Rs. 27 D) A gain of Rs. 37
 
Answer & Explanation Answer: B) A loss of Rs. 37

Explanation:

As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order).

The overall resultant will remain same.

So final amount with the person will be (in all cases):

64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27

Hence the final result is: 

64 − 27 37

A loss of Rs.37

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

22 8259
Q:

Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ?

A)3449 days   

B)12449 days 

C)4349 days    

D)41249 days

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: C) Option C

Explanation:

Raghu can complete the work in (12 x 9)hrs = 108 hrs.

 

 Arun can complete the work in (8 x 11)hrs = 88 hrs.

 

Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88

 

(Raghu + Arun)'s 1 hrs work = 1108+188=492376

 
So, both Raghu and Arun will finish the work in 237649 hrs

Number of days of 12 hours each=237649×112 = 19849=4349 days

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

6 8250
Q:

854*854*854-276*276*276854*854+854*276+276*276=?

A) 546 B) 578
C) 607 D) None of these
 
Answer & Explanation Answer: B) 578

Explanation:

Given exp . is like this 854*854*854-276*276*276854*854+854*276+276*276=?

 

so ans = 854 - 276 = 578

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Filed Under: Numbers

3 8250
Q:

 Correct expression of   6.46 is

A) 640/99 B) 640/90
C) 64000/99 D) 640/9
 
Answer & Explanation Answer: A) 640/99

Explanation:

6.46=6+0.46=6+4699594+4699=>64099

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Filed Under: Decimal Fractions

13 8233
Q:

5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ?

A) 24 and 13 years B) 48 and 24 years
C) 35 and 11 years D) 33 and 15 years
 
Answer & Explanation Answer: C) 35 and 11 years

Explanation:

Let the age of sushma be x and
the age of her son is y
Then five years before x-5=5(y-5) ...(1)
Five years hence x+5 = 3(y+5)-8 .....(2)

By soving (1) & (2), we get
5y - 15 = 3y + 7
y = 11 => x = 35

Therefore, the age of Sushma = 35 and her son = 11.

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

9 8211
Q:

A sum of Rs. 731 is divided among A,B and C, such that 'A' receives 255 more than 'B' and 'B' receives 25% less than 'C'. What is 'C' s share in the amount?

A) Rs.172 B) Rs.200
C) Rs.262 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:
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19 8204