Quantitative Aptitude - Arithmetic Ability Questions

Q:

How many times are the hands of a clock at right angle in a day?

A) 44 B) 54
C) 64 D) 22
 
Answer & Explanation Answer: A) 44

Explanation:

In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.

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32 18961
Q:

Which of the following numbers is composite?

 

A) 47 B) 57
C) 37 D) 67
 
Answer & Explanation Answer: A) 47

Explanation:
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Filed Under: Problems on Numbers
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Q:

96% of the population of a village is 23040. The total population of the village is ?

A) 24000 B) 32256
C) 25478 D) 26587
 
Answer & Explanation Answer: A) 24000

Explanation:

Let the total population be 'P'

P x (96/100) = 23040

P = 240 * 100

P = 24000.

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18 18948
Q:

 Find the average of first 30 multiples of 7.

 

A) 94.8 B) 99.6
C) 104.4 D) 108.5
 
Answer & Explanation Answer: D) 108.5

Explanation:
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Q:

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

A) 2/9 B) 1/9
C) 8/9 D) 7/9
 
Answer & Explanation Answer: B) 1/9

Explanation:

One person can select one house out of 3= 3C1 ways =3.

 

Hence, three persons can select one house out of 3 in 3 x 3 x 3 =9.

 

Therefore, probability that all thre apply for the same house is 1/9

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Q:

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?

A) 215 B) 315
C) 415 D) 115
 
Answer & Explanation Answer: B) 315

Explanation:
Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect.
 

Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.
 

Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315
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30 18870
Q:

A train covers a distance between station A and station B in 45 min.If the speed of the train is reduced by 5 km/hr,then the same distance is covered in 48 min.what is the distance between the stations A and B ?

A) 80 kms B) 60 kms
C) 45 kms D) 32 kms
 
Answer & Explanation Answer: B) 60 kms

Explanation:

Let 'd' be the distance and 's' be the speed and 't' be the time
d=sxt
45 mins = 3/4 hr and 48 mins = 4/5 hr
As distance is same in both cases;
s(3/4) = (s-5)(4/5)
3s/4 = (4s-20)/5
15s = 16s-80
s = 80 km.
=> d = 80 x 3/4 = 60 kms.

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Q:

What should come in place of both the question marks in the equation

?128=162?

 

 

 

A) 12 B) 14
C) 144 D) 196
 
Answer & Explanation Answer: A) 12

Explanation:

Let x128=162x

 

Then, x2=128×162 =64×2×18×9=82×62×32 = 8×6×3 =144

 

x=12

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