Aptitude and Reasoning Questions

Q:

The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, find its height

A) 6 B) 7
C) 8 D) 9
 
Answer & Explanation Answer: A) 6

Explanation:

Let the height of the parallelogram be x. cm. Then, base = (2x) cm.

2x×x=72=>2x2=72=>x=6 

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Filed Under: Area
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32 23078
Q:

There are 7 non-collinear points. How many triangles can be drawn by joining these points?

A) 10 B) 30
C) 35 D) 60
 
Answer & Explanation Answer: C) 35

Explanation:

A triangle is formed by joining any three non-collinear points in pairs.

 

There are 7 non-collinear points

 

The number of triangles formed = 7C3 = 35

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15 23077
Q:

Arrange the fractions 3/4, 5/12, 13/16, 16/29, 3/8 in their descending order of magnitude.

 

A) 3/4 > 3/8 > 13/16 > 16/29 > 5/12 B) 3/8 > 5/12 > 16/29 > 3/4 > 13/16
C) 13/16> 3/4 >16/29 > 5/12 > 3/8 D) 13/16 > 16/29 > 3/4 > 5/12 > 3/8
 
Answer & Explanation Answer: C) 13/16> 3/4 >16/29 > 5/12 > 3/8

Explanation:
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Filed Under: Problems on Numbers
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0 23061
Q:

How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.

A) 720 B) 576
C) 567 D) 625
 
Answer & Explanation Answer: B) 576

Explanation:

There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants.

 

There are 4 odd places and 3 even places. 3 vowels can occupy 4 odd places in 4P3 ways and 4 constants can be arranged in 4P4 ways.

 

Number of words =4P3  x 4P4= 24 x 24 = 576

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18 23050
Q:

If Aug 15th,2012 falls on Thursday then June 11th,2013 falls on which day ?

A) Wednesday B) Saturday
C) Monday D) Tuesday
 
Answer & Explanation Answer: A) Wednesday

Explanation:

First,we count the number of odd days for the left over days in the given period.

Here,given period is 15.8.2012 to 11.6.2013

Aug Sept Oct Nov Dec Jan Feb Mar Apr May Jun

16   30   31  30   31   31   28  31   30   31   11(left days)

2 + 2 + 3 + 2 + 3 + 3 + 0 + 3 + 2 + 3 + 4 (odd days) = 6 odd days

So,given day Thursday + 6 = Wednesday is the required result.

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Filed Under: Calendar

173 23038
Q:

What was the day of the week on 16th August, 1947?

A) Sunday B) Monday
C) Saturday D) Thursday
 
Answer & Explanation Answer: C) Saturday

Explanation:

15th August, 1947 = (1946 years + Period from 1st Jan., 1947 to 15th )

 

Counting of odd days:

 1600 years have 0 odd day. 300 years have 1 odd day.

 

 47 years = (11 leap years + 36 ordinary years)= [(11 x 2) + (36 x 1) ]odd days = 58 odd days = 2 odd days.

 

Jan  Feb  Mar  Apr  May  Jun  Jul  Aug.

31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 = 227 days = (32 weeks + 3 days) = 3,

 

Total number of odd days = (0 + 1 + 2 + 3) odd days = 6 odd days.

 

Hence, the required day was 'Saturday'.

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Filed Under: Calendar

86 23036
Q:

A train moves with a speed of 108 kmph. Its speed in metres per second is :

A) 10.8 B) 18
C) 30 D) 38.8
 
Answer & Explanation Answer: C) 30

Explanation:

108 kmph = 108*[5/18] m/sec = 30 m / s.

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Filed Under: Problems on Trains

42 23014
Q:

In the following question, select the missing number from the given series.

2, 4, 13, 41, 106, ?

A) 172 B) 191
C) 219 D) 232
 
Answer & Explanation Answer: D) 232

Explanation:
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Filed Under: Number Series
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