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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident

A) 30/100 B) 35/100
C) 45/100 D) 50/100
 
Answer & Explanation Answer: B) 35/100

Explanation:

Let   A = Event that A speaks the truth

B = Event that B speaks the truth 


Then P(A) = 75/100 = 3/4

P(B) = 80/100 = 4/5

P(A-lie) = 1-34= 1/4 

P(B-lie) = 1-45= 1/5

 

Now, A and B contradict each other =[A lies and B true] or [B true and B lies]

 = P(A).P(B-lie) + P(A-lie).P(B) 

 = 35*15+14*45=720  

 = 720*100= 35%

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Filed Under: Probability

64 29477
Q:

Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?

A) Rs. 45,000 B) Rs. 50,000
C) Rs. 70,000 D) Rs. 75,000
 
Answer & Explanation Answer: B) Rs. 50,000

Explanation:

Sekar: Rajeev: jatin = (25000×12+35000×12+45000×12):(35000×24) : (35000×12)

                            = 1260000 : 840000 : 420000

                            = 3 : 2 : 1.

 

Rajeev's Share =Rs.(150000×2/6)

                      =Rs.50000.

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Filed Under: Partnership

30 29415
Q:

Select the figure which does NOT belong to the group.

 

 

A) C B) B
C) A D) D
 
Answer & Explanation Answer: C) A

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

2 29337
Q:

In a race, the odd favour of cars P,Q,R,S are 1:3, 1:4, 1:5 and 1:6 respectively. Find the probability that one of them wins the race.

A) 319/420 B) 27/111
C) 114/121 D) 231/420
 
Answer & Explanation Answer: A) 319/420

Explanation:

P(P)=14,P(Q)=15,P(R)=16,P(S)=17
All the events are mutually exclusive hence,

 

Required probability = P(P)+P(Q)+P(R)+P(S)

 

14+15+16+17=319420

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Filed Under: Probability

38 29255
Q:

In the following question,select the missing number from the given alternatives.

7, 26, ?, 124, 215, 342

A) 63 B) 65
C) 66 D) 67
 
Answer & Explanation Answer: A) 63

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 29157
Q:

Consider the following grouped frequency distribution:

  x           f

0-10       8

10-20     12

20-30     10

30-40      p

40-50      9

 

If the mean of the above data is 25.2, then what is the value of p?

 

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: C) 11

Explanation:
Mean = (sum of fixi/ (sum of f) = (8*5 + 12*15 + 10*25 + P*35 +9*45) / (8+12+10+P+9) = 25.2
(875 + 35P)/(39+P) = 25.2
P = 11
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Filed Under: Average
Exam Prep: Bank Exams

0 29091
Q:

If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:

A) 12 B) 15
C) 16 D) 19
 
Answer & Explanation Answer: A) 12

Explanation:

Given ratio = 7 : 5 : 3 : 4, Sum of ratio terms = 19.

Smallest part =  (76*3/19)  = 12

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Filed Under: Ratios and Proportions

73 29087
Q:

If today is Saturday, what will be the day 350 days from now  ?

A) Saturday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: A) Saturday

Explanation:

350 days = (350/7=50 weeks) i.e  No odd days,

 So it will be a Saturday.

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

93 29083