Aptitude and Reasoning Questions

Q:

Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ?

A) 1102 km B) 1060 km
C) 960 km D) 1250 km
 
Answer & Explanation Answer: C) 960 km

Explanation:

60(x + 1) = 64x

X = 15

60 x 16 = 960 km

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Q:

If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ?

A) 6 B) 8
C) 4 D) 9
 
Answer & Explanation Answer: C) 4

Explanation:

N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)

= H.C.F. of 3360, 2240 and 5600 = 1120.

Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

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Q:

A plane is an undefined term because it

A) is a flat surface that extends indefinitely in all directions B) is where other geometric shapes can be constructed
C) is described generally, not using a formal definition D) can be named using three noncollinear points
 
Answer & Explanation Answer: C) is described generally, not using a formal definition

Explanation:

In geometry, we can define plane as a flat surface with no thickness.

The surface extends with no ends.

A plane does not have any edges even if we draw it on paper with edges, it does't mean it has edges.

 

Hence, A plane is an undefined term because it is described generally, not using a formal definition.

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Filed Under: Arithmetical Reasoning
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Q:

P, W, Q, X, R, Y, Z and S sit randomly in a circle facing each other. Consider the following information and questions based on it.

 

1. Y sits exactly between Q and R

2. P does not sit next to either X or Z

3. Z is to the immediate right of Q

4. S sits third from left of X and the right of Y.

 

If they all were facing outside the circle, W would be the left of -

A) X B) S
C) P D) Cannot be determined
 
Answer & Explanation Answer: C) P

Explanation:
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Q:

If a 36 cm thread is used to wrap a book, lengthwise twice and breadth wise once, what is the size of the book ?

A) 288 sq.cm B) 188 sq.cm
C) 144 sq.cm D) 244 sq.cm
 
Answer & Explanation Answer: A) 288 sq.cm

Explanation:

Length of the thread is 36 cms.
length wise twice breath wise once then totally thrice.
so 36/3 = 12.
so length is 12 x 2 = 24 cms
breath is 12 cms
Area of the book = length x breath = 24 x 12 = 288 sq.cm

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Filed Under: Area
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Q:

From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

A) 75 litres B) 100 litres
C) 150 litres D) 120 litres
 
Answer & Explanation Answer: D) 120 litres

Explanation:

wine(left)wine(added) = 343169

 

It means  wine(left)wine(initial amount) = 343512    (since 343 + 169 = 512)

  

Thus,  343x = 512x1 - 15k3

 

 343512 = 783 = 1 - 15k3

 

 1-15k=78=1-18

  

Thus the initial amount of wine was 120 liters.

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Filed Under: Alligation or Mixture
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Q:

The calendar for the year 2013 was the same as the year :

A) 1998 B) 2017
C) 2009 D) 2002
 
Answer & Explanation Answer: D) 2002

Explanation:

Given year, 2013 when divided by 4 leaves a remainder of 1.

NOTE: When the remainder is 1, 11 is substracted from the given year to get the result.

So, 2013 - 11 =2002

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Q:

A train covers 180 km distance in 5 hours. Another train covers the same distance in 1 hour less. What is the difference in the distances covered by these trains in one hour if they are moving in the same direction?

A) 15 kms B) 9 kms
C) 6 kms D) 18 kms
 
Answer & Explanation Answer: B) 9 kms

Explanation:

The first train covers 180 kms in 5 hrs

=> Speed = 180/5 = 36 kmph

Now the second train covers the same distance in 1 hour less than the first train => 4 hrs

=> Speed of the second train = 180/4 = 45 kmph

Now, required difference in distance in 1 hour = 45 - 36 = 9 kms.

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Filed Under: Time and Distance
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