Aptitude and Reasoning Questions

Q:

Mohan invested Rs. 100000 in a garment business. After few months, Sohan joined him with Rs. 40000. At the end of the year, the total profit was divided between them in ratio 3 : 1. After how many months did Sohan join the business?

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

Explanation:
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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

A bank offers 10% compound interest per half year. A customer deposits Rs. 5200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have profit by way of interest is:

A) Rs 3224 B) Rs 1612
C) Rs 806 D) Rs 403
 
Answer & Explanation Answer: B) Rs 1612

Explanation:
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Filed Under: Compound Interest
Exam Prep: Bank Exams

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Q:

Study the question and all the three statements given and decide whether any information provided in the statements are redundand and can be dispensed with while answering the questions.

Question : 

What is the rate of interest per year ?

Statements :

1. The amount invested is Rs. 6000.
2. The amount becomes Rs. 6741.60 in 2 years at compound interest.
3. The difference between compound interest and simple interest in 2 years is Rs. 21.60.

A) Only 3 B) Both 2 & 3
C) Any two of (1, 2 & 3) D) None
 
Answer & Explanation Answer: C) Any two of (1, 2 & 3)

Explanation:

Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%.

Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years.

Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate.

Hence by using any two of the three statements(1,2&3) we get rate of interest.

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Filed Under: Statement and Conclusions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

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Q:

In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b.

1.  5a2-18a+9=0

2.  3b2+5b-2=0

A) a >= b B) a <= b
C) a < b D) a > b
 
Answer & Explanation Answer: D) a > b

Explanation:

From solving 1 and 2 we get,

 

1.

5a(a-3)-3(a-3) = 0

 

(5a-3)(a-3) = 0

 

a = 3 or 3/5

 

2. 

 

3b(b+2)-1(b+2) = 0

 

b = -2 or b = 1/3

 

Here when a = 3, a > b for b = -2 and b = 1/3

 

when a = 3/5. a > b for b = -2 and b = 1/3.

 

Hence, it is clear that a > b. 

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Filed Under: Statement and Conclusions
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

In each question given below four conclusions are followed by statements. You have to take the three given statements to be true (even if they seem to be at variance from the commonly known facts). Read the conclusions and decide which of the following set of statement indicate that conclusion is logically follows.

Statements :
1. All chairs are tents.

2. No chairs is jugs.

3. No jugs is glasses.

4. No glasses is pots.

Conclusions :
I. All pots are tents.

II. All glasses are chair.

III. Some jugs are tents.

A) Only conclusion I follows B) Both conclusion II & III follows
C) None follows D) Only conclusion II follows
 
Answer & Explanation Answer: C) None follows

Explanation:
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Q:

X and Y together can do a piece of work in 30 days. Y and Z together can do the work in 20 days. X starts the work and works for 15 days then Y takes that work and works for 27 days. Finally Z finishes the remaining work in 9 days. In how many days Y alone can complete the entire work?

 

A) 60 B) 45
C) 50 D) 65
 
Answer & Explanation Answer: A) 60

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

You are a team leader and you are supposed to hold a convention on HR issue. But your team members are unable to get adequate sponsorship.

A) You put in your money and hold the event as scheduled B) You try and motivate them that they can do it
C) You postpone the event and give them some more time D) You tell them things can work out like this and cancel the event
 
Answer & Explanation Answer: B) You try and motivate them that they can do it

Explanation:
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Q:

Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm?

A) 121 sq.com B) 154 sq.com
C) 186 sq.com D) 164 sq.com
 
Answer & Explanation Answer: B) 154 sq.com

Explanation:

We know that, 

Area of trapezium = 1/2 x (Sum of parallel sides) x (Distance between Parallel sides)

= 1/2 x (12 + 10) x 14

= 22 x 14/2

= 22 x 7

= 154 sq. cm

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

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