Aptitude and Reasoning Questions

Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 12,421 B) 9,423
C) 11,600 D) 10,500
 
Answer & Explanation Answer: D) 10,500

Explanation:

The ratio of their investments:
50000x36 : 80000x30 = 3 : 4
Simran's share of profit = (24500x3/7) = Rs.10,500.

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Filed Under: Partnership
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Q:

What is the total monthly salary of Vasu ? 

I. Vasu's basic salary is Rs 100 more than Rajan's salary who also serves in Vasu's company. 

II. Other allowances drawn by Rajan besides his basic salary are Rs 2000 per month which is Rs 50 less than Vasu's salary.

III. Rajan's basic salary is Rs 1550 per month. 

A) II only B) II and III together
C) I and II together ( D) I, II and III together
 
Answer & Explanation Answer: D) I, II and III together

Explanation:

From III, we have : Rajan's basic salary = Rs 1550.

From I,   we have : Vasu's basic salary = Rs (1550 + 100) =  Rs 1650.

From II.  we have : Rajan's other allowances = RS 2000

             and Vasu's other allowances = Rs 2050.

Vasu's monthly salary is (1650 + 2050) = Rs 3700.

Thus, all the three statements are required. 

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Filed Under: Data Sufficiency

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Q:

If x is a whole number, then x²(x² - 1) is always divisible by ?

A) 4 B) 8
C) 12 D) None
 
Answer & Explanation Answer: C) 12

Explanation:

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

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Filed Under: Numbers
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Q:

"Gain your weight by 5 kgs in 3 sessions"- an advertisement

 

Assumption 1: if you join in 6 sessions your weight will be lost by 10 kgs.

Assumption 2: the company is dealing with weight gain programs"

 

A) Neither I nor II is implicit B) II only is implicit
C) I only is implicit D) Either I or II is implicit
 
Answer & Explanation Answer: A) Neither I nor II is implicit

Explanation:
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Filed Under: Statement and Conclusions
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Q:

A family consists of six members P, Q, R, S, T and U. There are two married couples. Q is a doctor and the father of T. U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. Which of the following is definitely a group of male members ? 

A) QU B) QUT
C) QUP D) UT
 
Answer & Explanation Answer: A) QU

Explanation:

Q, the Doctor, is the father of T. S, the Housewife, is the grandmother of T and hence the mother of Q. Since there are only two married couples one being that of Q, the grandfather of R. i.e, U must be married to S. Thus, R and T will be both children of Q and these must be the students So, P, who remains, shall be the wife of Q and she alone can be the nurse. Thus, U must be the contractor 

Clearly, for definite the males are Q, the father and U, the grandfather 

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Filed Under: Blood Relations

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Q:

Identify the diagram that best represents the relationship among the given classes.

 

Girl, Singer, Politician

 

 

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

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

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Q:

P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together  ?

A) 5 (2/3) B) 6 (3/4 )
C) 4 (1/2) D) 3
 
Answer & Explanation Answer: C) 4 (1/2)

Explanation:

Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total. 

 

Work done by P and Q, working together in one day = 1/6 + 1/18  = 4/18 = 2/9 

 

They would take 9/2 days = 4 (1/2) days to complete the work working together.

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Filed Under: Time and Work
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Q:

If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: A) 0

Explanation:

From the given information in the question
24 ÷ 4 + 6 - 3 x 4
6 + 6 - 12 = 0

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Filed Under: Arithmetical Reasoning
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