Aptitude and Reasoning Questions

Q:

A three-digit number is formed with the digits 1, 2, 3, 4, 5 at random. What is probability that number formed is divisible by 5 ?

A) 1/4 B) 1/5
C) 1/2 D) 3/4
 
Answer & Explanation Answer: B) 1/5

Explanation:

If a number ends with 5, 0 then the number will be divisible by 5
Here only 5 is present, end place will be fixed by 5 so, 

Probability problems

Probabilty questions

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Filed Under: Probability

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Q:

In how many ways can 4 sit at a round table for a group discussions?

A) 9 B) 3
C) 6 D) 12
 
Answer & Explanation Answer: C) 6

Explanation:

We get this using the formula of circular permutations i.e., (4 - 1)! = 3! =6

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Q:

The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender?

A) 28.5 yrs B) 29.5 yrs
C) 30.5 yrs D) 27 yrs
 
Answer & Explanation Answer: A) 28.5 yrs

Explanation:

According to the given data,

(V + R)/2 = 24

Now, after joining of Veerender,

V + R + D)/3 = 25.5

Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.

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Q:

Find the number of ways to arrange 4 people in groups of 3 at a time where order matters?

A) 20 B) 16
C) 24 D) 36
 
Answer & Explanation Answer: C) 24

Explanation:

P(4,3)= P34= 24

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Q:

All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B, A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B.  How many male members are there in the family ? 

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

Explanation:

B is the son of C but C is not the mother of B means C is the father of B. A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C

A is the mother and hence female. B is the son and hence male. C is the husband and hence male.

 

D in the daughter and hence female. E is the brother and hence male F is the son and hence male.

 

So, there are four males. 

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Filed Under: Blood Relations

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Q:

Consider the given argument and decide which of the given assumptions is/are implicit.

 

Argument :

 

Warning : Consumption of alcohol is injurious to health.

 

Assumptions :

 

1. This warning is not required.

2. Non-alcoholic people are healthy.

 

A) Neither 1 nor 2 is implicit B) Only assumption 1 is implicit
C) Only assumption 2 is implicit D) Both 1 and 2 are implicit
 
Answer & Explanation Answer: A) Neither 1 nor 2 is implicit

Explanation:
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Filed Under: Statement and Assumptions
Exam Prep: Bank Exams

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Q:

Shiva purchased 280 kg of Rice at the rate of 15.60/kg and mixed it with 120 kg of rice purchased at the rate of 14.40/kg. He wants to earn a profit of Rs. 10.45 per kg by selling it. What should be the selling price of the mix per kg?

A) Rs. 22.18 B) Rs. 25.69
C) Rs. 26.94 D) Rs. 27.54
 
Answer & Explanation Answer: B) Rs. 25.69

Explanation:

Rate of rice of quantity 280 kg = Rs. 15.60/kg

Rate of rice of quantity 120 kg = Rs. 14.40/kg

He want to earn a profit of Rs. 10.45/kg

Rate of Mix to sell to get profit of 10.45 =  

 

280 x 15.60 + 120 x 14.40280 + 120 + 10.454368 + 1728400 + 10.45=> 15.24 + 10.45= 25.69 

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

What is the difference in the shares of profit between P and Q in a joint business at the end of one year ?

a. P Invested Rs. 80,000 and withdrew Rs. 20,000 after 6 months.

b. Q joined four months after the start of business.

c. Q's amount was 80% of P's amount during the last six months.

A) Only a B) Only c
C) Both a & b D) Data is not sufficient
 
Answer & Explanation Answer: D) Data is not sufficient

Explanation:

a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month.

b & c. Q's investment = 80% of Rs. 60000 for 8 months.

= Rs.(48000 x 8) for 1 month = 384000 for 1 month

P : Q = 840000 : 384000 = 35 : 16.

But, the total profit is not given, so data is inadequate.

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

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