Quantitative Aptitude - Arithmetic Ability Questions

Q:

How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

A) 48 B) 52
C) 38 D) 42
 
Answer & Explanation Answer: A) 48

Explanation:

Here distance d = 800 mts

speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s

time t = 800x1860x5= 48 sec.

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Filed Under: Time and Distance
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Q:

 It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

A) Sunday B) Saturday
C) Friday D) Wednesday
 
Answer & Explanation Answer: C) Friday

Explanation:

On 31st December, 2005 it was Saturday.

 

 

 

Number of Odd days from the year 2006 to the year 2009 = (1+1+2+1)=5 days.

 

 

 

 On 31st december 2009, It was Thursday

 

 

 

Thus, on 1st Jan, 2010 it is Friday.

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Filed Under: Calendar

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Q:

1422 ÷ 1260.25 = ?

A) 586 B) 578
C) 568 D) 566
 
Answer & Explanation Answer: C) 568

Explanation:

142 x 142 x 11260.25

 

=> 142 x 142 x 135.5  = 568

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Filed Under: Simplification
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Q:

What is 70 of 50?

A) 35 B) 38
C) 42 D) 44
 
Answer & Explanation Answer: A) 35

Explanation:

what is 70 of 50 means 70% of 50

 

70 x 50100= 7 x 5= 35

 

Hence, 70 of 50 is 35.

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Filed Under: Percentage
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Q:

60 percent of 2/7 of three-fourth of a number is 2664. What is the number ?

A) 20720 B) 21352
C) 25421 D) 24150
 
Answer & Explanation Answer: A) 20720

Explanation:

Let N be the required number. 

=> 60100x27x34xN=2664  

=> N = 2664x2x7x5/9  

=> N = 20720.

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Filed Under: Percentage
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Q:

The ratio of the speed of a boat downstream and speed of the stream is 9:1. If the speed of the current is 3 km per hr, find the distance travelled by the boat upstream in 5 hours.

A) 100 km B) 98 km
C) 109 km D) 105 km
 
Answer & Explanation Answer: D) 105 km

Explanation:

Let the speed of boat in still water is ‘x’ km/hr & that of stream is ‘y’ km/hr.
Then, ATQ
(x+y)/y = 9/1 9y = x + y
x = 8y
y = 3 km/hr
So, x = 24 km/hr
Upstream speed = 24-3 = 21 km/hr
Hence, distance travelled upstream in 5 hours = 21*5 = 105 km.

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Filed Under: Boats and Streams
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Q:

Find the effective rate of interest for an investment that earns 5 1/2% per year, compounded continuously

A) 5.65% B) 5.75%
C) 5.85% D) 5.95%
 
Answer & Explanation Answer: A) 5.65%

Explanation:

We are not given a value of P in this problem, so either pick a value

for P and stick with that throughout the problem, or just let P = P.

We have that t = 1, and r = .055. To find the effective rate of interest,

first find out how much money we have after one year:

A = Pert

A = Pe(.055)(1)

A = 1.056541P.

Therefore, after 1 year, whatever the principal was, we now have 1.056541P.

Next, find out how much interest was earned, I, by subtracting the initial amount of money from the final amount:

I = A − P

  = 1.056541P − P

  = .056541P.

Finally, to find the effective rate of interest, use the simple interest formula, I = Prt. So,

I = Pr(1) = .056541P

.056541 = r.

Therefore, the effective rate of interest is 5.65%

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Filed Under: Compound Interest
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Q:

How long will it take $3000 to earn $60 interest at 6%?

A) 2months B) 3months
C) 4months D) 5months
 
Answer & Explanation Answer: C) 4months

Explanation:

t=I/pr

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Filed Under: Simple Interest
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