Aptitude and Reasoning Questions

Q:

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

A) 21/46 B) 1/5
C) 3/25 D) 1/50
 
Answer & Explanation Answer: A) 21/46

Explanation:

Let , S -  sample space        E - event of selecting 1 girl and 2 boys. 

Then, n(S) = Number ways of selecting 3 students out of 25 

                = 25C3 

                = 2300.

n(E) = 10C1×15C2 = 1050. 

P(E) = n(E)/n(s) = 1050/2300 = 21/46

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Filed Under: Probability

106 43997
Q:

A man reaches his office 20 min late, if he walks from his home at 3 km per hour and reaches 30 min early if he walks 4 km per hour. How far is his office from his house ?

A) 20 km B) 16 km
C) 14 km D) 10 km
 
Answer & Explanation Answer: D) 10 km

Explanation:

Let distance = x km.
Time taken at 3 kmph : dist/speed = x/3 = 20 min late.
time taken at 4 kmph : x/4 = 30 min earlier
difference between time taken : 30-(-20) = 50 mins = 50/60 hours.
x/3- x/4 = 50/60
x/12 = 5/6
x = 10 km.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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57 43848
Q:

The sum of all two digit numbers divisible by 5 is

A) 945 B) 678
C) 439 D) 568
 
Answer & Explanation Answer: A) 945

Explanation:

Required numbers are 10,15,20,25,...,95
This is an A.P. in which a=10,d=5 and l=95.
Let the number of terms in it be n.Then t=95
So a+(n-1)d=95.
10+(n-1)*5=95,then n=18.
Required sum=n/2(a+l)=18/2(10+95)=945.

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Filed Under: Numbers

115 43840
Q:

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 614 p.a for 2 years. Find his gain in the transaction per year

A) Rs. 112.50 B) Rs.150.25
C) Rs.167.50 D) Rs.170
 
Answer & Explanation Answer: A) Rs. 112.50

Explanation:

 gain in 2 years =Rs.5000*254*2100-5000*4*2100  

= Rs. (625 - 400) 

= Rs. 225 

 gain in 1 year =Rs.2252=112.50

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Filed Under: Simple Interest
Exam Prep: Bank Exams
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124 43805
Q:

How many leap years does 100 years have?

A) 25 B) 24
C) 4 D) 26
 
Answer & Explanation Answer: B) 24

Explanation:

Given year is divided by 4, and the quotient gives the number of leap years.

Here, 100%4 = 25.

But, as 100 is not a leap year => 25 - 1= 24 leap years.

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Filed Under: Calendar

139 43770
Q:

Select the related word/letters/number from the given alternatives.

24:60::210:?

A) 348 B) 336
C) 340 D) 326
 
Answer & Explanation Answer: B) 336

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

0 43730
Q:

Select the alternative in which the specified components of the key figure (X) are found.

             291484720701.png image

2911484720717.png image

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:
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Filed Under: Image Analysis
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23 43730
Q:

Select the missing number based on the given related pair of numbers.

 

1990 : 1394 :: ___ : 2017

 

 

A) 2361 B) 2613
C) 2163 D) 2631
 
Answer & Explanation Answer: B) 2613

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

6 43708