Quantitative Aptitude - Arithmetic Ability Questions

Q:

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

Explanation:

Part filled in 2 hours = 2/6=1/3

 

Remaining part =1-13=23

 

 (A + B)'s 7 hour's work = 2/3

 

(A + B)'s 1 hour's work = 2/21

 

C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }

 

=1/6-2/21 = 1/14

 

C alone can fill the tank in 14 hours.

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Filed Under: Pipes and Cistern

77 23623
Q:

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's

discount is:

A) 1315 B) 1150
C) 1020 D) 980
 
Answer & Explanation Answer: C) 1020

Explanation:

T.D. =(B.G*100)/(R*T)=Rs(270*100)/(12*3) = Rs. 750.

B.D. = Rs.(750 + 270) = Rs. 1020.

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Filed Under: Banker's Discount

3 23622
Q:

A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

A) 90 cm B) 1 dm
C) 1 m D) 1.1 cm
 
Answer & Explanation Answer: B) 1 dm

Explanation:

ke

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35 23610
Q:

A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ?

A) Total work B) One-fourth work
C) Half work D) Two-third work
 
Answer & Explanation Answer: C) Half work

Explanation:

A can do the work = 18 days
B can do the work = 18/2 = 9 days
(A + B)'s 1 day work = 1/18 + 1/9 = 1/6
=> In 3 days = 3x1/6 = 1/2 work is completed.

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

30 23608
Q:

A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interst. The rate per annum 

A) 5% B) 5.5%
C) 6% D) 6.5%
 
Answer & Explanation Answer: B) 5.5%

Explanation:

sum = x. amount =7x/6.

S.I. =(7x/6 – x) = x/6 ; time = 3 years

Rate =[ (100 * x) / (x * 6 * 3)]% = 5.5%

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18 23582
Q:

Select the odd figure out of the given series.

 

 

 

A) 1 B) 5
C) 3 D) 4
 
Answer & Explanation Answer: B) 5

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 23567
Q:

The ratio of investments of two partners is 11:12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months , find for how much time B invested his money.

Answer

Suppose A invested Rs.11 for 8 months and B invested Rs. 12 for x months.


\inline \therefore Ratio of investments of A and B


                  = (11 x 8) : (12 x x)


                  = 88 : 12x 


\inline \therefore \inline \frac{88}{12x}=\frac{2}{3}\Rightarrow x=11

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Subject: Partnership

26 23564
Q:

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is

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

Explanation:

Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.

Sum of the present ages of wife and child (20 x 2 + 5 x 2) years  = 50 years.

Husband's present age = (90 - 50) years = 40 years.

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Filed Under: Average

14 23484