Aptitude and Reasoning Questions

Q:

A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ?

A) 25 B) 24
C) 23 D) 21
 
Answer & Explanation Answer: A) 25

Explanation:

(A+B+C) do 1 work in 10 days.

So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5


Remaining work=1-2/5=3/5

 

(B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50


Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25

A does 1/25 work in in 1 day

Therefore 1 work in 25 days.

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Filed Under: Time and Work
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128 53082
Q:

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

Play:Actor::Concert:?

A) Symphony B) Musician
C) Piano D) Percussion
 
Answer & Explanation Answer: B) Musician

Explanation:
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Filed Under: Analogy
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Q:

If tan4θ + tan2θ = 2, then sec4θ - sec2θ = ?

 

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the simplified value of 

125 - 24 - 124-23+123 - 22 - 122 - 21+ 121 - 20 ?

A) 5 + 2√5 B) 5 – 5√2
C) √25 + √21 D) √25 – 4
 
Answer & Explanation Answer: A) 5 + 2√5

Explanation:
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Q:

∆DEF is right angled at E. If secD = 17/8, then what is the value of cosF?

 

A) 15/17   B) 15/8  
C) 8/17   D) 17/15
 
Answer & Explanation Answer: A) 15/17  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Three unbiased coins are tossed. What is the probability of getting at most two heads?

A) 3/4 B) 7/8
C) 1/2 D) 1/4
 
Answer & Explanation Answer: B) 7/8

Explanation:

Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}

Let E = event of getting at most two heads.

Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.

P(E) =n(E)/n(S)=7/8.

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Filed Under: Probability

81 52954
Q:

A is a working and B is sleeping partners in a business. A puts in Rs. 5000 and B puts in Rs.6000. A receives % of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880?

Answer

Total profit = Rs. 880


A's share for managing the business i.e 


\inline 12\frac{1}{2} %  =  \inline \frac{25\times 880}{200}=Rs.110


Remaining profit of A and B as per their capital = 880 - 110 = Rs. 770


Ratio of amounts = 5000 : 6000 = 5 : 6


Sum of ratios = 5 + 6 = 11


A's share = \inline 770\times \frac{5}{11}= Rs.350


A's total share = 350 + 110 = Rs. 460


B's share = \inline 770\times \frac{6}{11}=Rs.420

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Subject: Partnership

85 52947
Q:

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

 

EJO : FKP : : KPU : ?

 

A) JOT B) LQV
C) QRS D) RPN
 
Answer & Explanation Answer: B) LQV

Explanation:
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Filed Under: Analogy
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