Quantitative Aptitude - Arithmetic Ability Questions

Q:

A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is

A) 600 B) 750
C) 1000 D) 1250
 
Answer & Explanation Answer: D) 1250

Explanation:

speed    = (5x5/18)m/sec
             = 25/18 m/sec.


Distance covered in 15 minutes    = (25/18 x 15 x 60)m
                                                 = 1250 m.

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Filed Under: Time and Distance

107 36693
Q:

If the perimeter of a semicircle is 72 cm, then find its area (in cm²).

 

A) 308 B) 616
C) 160 D) 320
 
Answer & Explanation Answer: A) 308

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 36686
Q:

A certain factory employed 600 men and 400 women and the average wager was Rs. 25.50 per day, If a woman got Rs. 5 less than a man, then what are their daily wages ?

A) m:25.50 w:27.50 B) m:27.50 w:22.50
C) m:26.50 w:27.50 D) m: 24.50 w:26.50
 
Answer & Explanation Answer: B) m:27.50 w:22.50

Explanation:

Let the daily wage of a man be Rs. x.

Then, daily wage of a woman = Rs. (x - 5).

Now, 600x + 400 (x - 5) = 25.50 * (600 + 400) <=>  1000x = 27500 <=>  x = 27.50.

Man's daily wages = Rs. 27.50; Woman's daily wages = (x - 5) = Rs. 22.50.

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Filed Under: Average

54 36609
Q:

Determine the nominal rate of interest if:

The periodic rate is 0.83% per month

A) 7% B) 8%
C) 9% D) 10%
 
Answer & Explanation Answer: D) 10%

Explanation:

j=mi

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

3 36396
Q:

What will come in place of the question mark (?) in the following number series?

17, 98, 26, 89, 35, ?

A) 80 B) 75
C) 67 D) 53
 
Answer & Explanation Answer: A) 80

Explanation:

1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80

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2 36370
Q:

A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ?

A) 5:3 B) 1:4
C) 4:1 D) 9:1
 
Answer & Explanation Answer: D) 9:1

Explanation:

Milk = 3/5 x 20 = 12 liters, water = 8 liters

 

If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.

 

Remaining milk = 12 - 6 = 6 liters

Remaining water = 8 - 4 = 4 liters

 

10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.

 

The ratio of milk and water in the new mixture = 16:4 = 4:1

 

If the process is repeated one more time and 10 liters of the mixture are removed,
then amount of milk removed = 4/5 x 10 = 8 liters.

 

Amount of water removed = 2 liters.

 

Remaining milk = (16 - 8) = 8 liters.

Remaining water = (4 -2) = 2 liters.

 

Now 10 lts milk is added => total milk = 18 lts

 

The required ratio of milk and water in the final mixture obtained

 

= (8 + 10):2 = 18:2 = 9:1.

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

53 36343
Q:

A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent

A) 3400 B) 4400
C) 5400 D) 6400
 
Answer & Explanation Answer: C) 5400

Explanation:

Interest for 1 year is the same whether it's simple interest or the compound interest.

Now interest of third year = 8575 - 7350 = 1225; means principal for this interest is 7350 if comound interest is takenIf 7350 is the principal interest = 1225

if 100 is the principal interest =(1225/7350) * 100 = 50/3 %

When a thing increases for two successive times the overall increase on initial amount = a + b + (a * b)/100

Therefore overall interest for two years = 50/3 + 50/3 + [(50/3)*(50/3)]/100 = 325/9 %

Therefore amount after 2 years = 100 + 325/9 = 1225/9

If 1225/9 is the amount principal =100

if 7350 is the amount principal =(900/1225)*7350 =5400

So sum = 5400; Rate = 50/3 %

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

69 36337
Q:

In how many years will a sum of Rs.800 at 10% per annum compounded semi annually become Rs.926.10

A) 1.5 B) 2.5
C) 3.5 D) 4.5
 
Answer & Explanation Answer: A) 1.5

Explanation:

Let the time be 'n' years, Then

 

800×1+51002n=926.10 <=> 1+51002n=92618000<=>21202n=21103

 

n = 3/2 or n= 112 Years 

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Filed Under: Simple Interest
Exam Prep: GRE

125 36233