Quantitative Aptitude - Arithmetic Ability Questions

Q:

P alone can do a piece of work in 24 days. The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work. How many days are required to complete by P and Q working together ?

A) 9 3/5 days B) 7 days
C) 6 3/7 days D) 8 days
 
Answer & Explanation Answer: A) 9 3/5 days

Explanation:

Let the total work be 'W'

As per the given information,

P can complete the work 'W' in 24 days.

=> one day work of P = W/24

And also given that,

The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work

=> PW/3 = QW/2

=> P's

1 day =    W/24

   ?    =      W/3

=>  ?  = 24W/3W  = 8

=> QW/2 = 8 days

=> Q alone can complete the work W in 16 days

=> P + Q can complete the work in

1/24 + 1/16 = 5/48

=> 48/5 days = 9 3/5 days.

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

18 9428
Q:

If you have 6 New Year greeting cards and you want to send them to 4 of your friends, in how many ways can this be done?

A) 720 B) 360
C) 240 D) 740
 
Answer & Explanation Answer: B) 360

Explanation:

We have to find number of permutations of 4 objects out of 6 objects.

 

This number is 6P4= 360

 

Therefore, cards can be sent in 360 ways.

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8 9424
Q:

A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles

A) 60bm/c B) bm/60c
C) bc/60m D) 60b/cm
 
Answer & Explanation Answer: B) bm/60c

Explanation:

Substitute sensible numbers and work out the problem. Then change the numbers back to letters. For example if the machine puts 6 caps on bottles in 2 minutes, it will put 6 /2 caps on per minute, or (6 /2) x 60 caps per hour. Putting letters back this is 60c/m.If you divide the required number of caps (b) by the caps per hour you will get time taken in hours. This gives bm/60c

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Filed Under: Time and Distance
Exam Prep: GRE

16 9418
Q:

Anu's present age is 9 years more than that of what Raj's age will be after five years. Raj's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anu's age after 5 years ?

A) 39 yrs B) 36 yrs
C) 46 yrs D) 41 yrs
 
Answer & Explanation Answer: D) 41 yrs

Explanation:

Anu = (Raj + 5) + 9

= Raj + 14 -------- (I)

Raj = (Renu - 4) + 7

= Renu + 3 ------- (II)

Raj's age = 19 + 3 = 22 years

After 5 years Anu's age = 22 + 14 + 5 = 41 years

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

9 9406
Q:

(0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :

A) 5/3 B) 9/3
C) 11/3 D) 13/3
 
Answer & Explanation Answer: A) 5/3

Explanation:

Given = (0.2 * 0.2 + 0.01) / ( 0.1 * 0.1 + 0.02) = (0.04 + 0.01) / (0.01 + 0.02) = 0.05 / 0.03 = 5/3...

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Filed Under: Decimal Fractions

12 9396
Q:

A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

A) 10% B) 20%
C) 30% D) 40%
 
Answer & Explanation Answer: C) 30%

Explanation:

let the side of the square be x meters
length of two sides = 2x meters
diagonal = 2x= 1.414x m

 

saving on 2x meters = .59x m

 

saving % = 0.59x2x*100%

 

= 30% (approx)

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

2 9395
Q:

10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?

A) 4 hours a day B) 5 hours a day
C) 6 hours a day D) 7 hours a day
 
Answer & Explanation Answer: C) 6 hours a day

Explanation:

More Men, Less Hours {Indirect Proportion}

Less Days, More Hours {Indirect Proportion}

 men15 : 10days12 : 18  6:x

 

=> 15 * 12 * x = 10 * 18 * 6

=>x = 6

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Filed Under: Chain Rule

8 9386
Q:

The Present worth of Rs.2310 due 212 years hence ,the rate of interest being 15% per annum, is :

A) Rs.1440 B) Rs.1750
C) Rs.1680 D) Rs.1840
 
Answer & Explanation Answer: C) Rs.1680

Explanation:

P.W=Rs.100×2310100+15×52 = Rs.1680

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Filed Under: True Discount

0 9384