Quantitative Aptitude - Arithmetic Ability Questions

Q:

A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ?

A) 12 days B) 14 days
C) 13 days D) 16 days
 
Answer & Explanation Answer: C) 13 days

Explanation:

Now, Total work = LCM(16, 8) = 48

A's one day work = + 48/16 = + 3

B's one day work = - 48/8 = -6

Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15

2days B joined with A in working = 2(3 - 6) = - 6

Remaining Work of building wall = 48 - (15 - 6) = 39

Now this remaining work will be done by A in = 39/3 = 13 days.

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Filed Under: Time and Work
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Q:

If there are 15 dots on a circle,how many triangles can be formed?

A) 455 B) 450
C) 469 D) 500
 
Answer & Explanation Answer: A) 455

Explanation:

There are 15 dots in total,and to make a triangle we need to select any three of those dots.

 

So,15C3 = 455

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Q:

A train covers a distance in 50 minutes, if it runs at a speed of 48kmph on an average. Find the speed at which the train must run to reduce the time of journey to 40 minutes.

A) 50 km/hr B) 60 km/hr
C) 65 km/hr D) 70 km/hr
 
Answer & Explanation Answer: B) 60 km/hr

Explanation:

We are having time and speed given, so first we will calculate the distance. Then we can get new speed for given time and distance.
Lets solve it.

Time = 50/60 hr = 5/6 hr
Speed = 48 mph
Distance = S*T = 48 * 5/6 = 40 km

New time will be 40 minutes so,
Time = 40/60 hr = 2/3 hr
Now we know,
Speed = Distance/Time
New speed = 40*3/2 kmph = 60kmph

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Filed Under: Time and Distance
Exam Prep: GRE

26 13417
Q:

If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until there is $8000 in the account?

A) 6.9 B) 7.9
C) 8.9 D) 9.9
 
Answer & Explanation Answer: B) 7.9

Explanation:

 

 

FV=P(1+r/n)^nt

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

16 13400
Q:

If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is ?

A) Rs.948 B) Rs.876
C) Rs.768 D) Rs.658
 
Answer & Explanation Answer: C) Rs.768

Explanation:

P.W. = 100×T.DR×T = 100×16814×2 = 600.

Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.

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Filed Under: True Discount
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17 13396
Q:

Find the LCM of 35, 311, 3-11 and 314

 

A) 35 B) 311
C) 3-11 D) 314
 
Answer & Explanation Answer: D) 314

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams , CAT

7 13376
Q:

The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?

A) Rs. 1100 B) Rs. 1200
C) Rs. 1000 D) Rs. 1840
 
Answer & Explanation Answer: B) Rs. 1200

Explanation:

P --- 10 ----- 600 

  P --- 5 ----- 300

3P --- 5 ----- 900
                __________
                   1200

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Filed Under: Simple Interest
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24 13365
Q:

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit

A) 70% B) 80%
C) 90% D) None of above
 
Answer & Explanation Answer: A) 70%

Explanation:

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)

 

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Filed Under: Profit and Loss

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