Quantitative Aptitude - Arithmetic Ability Questions

Q:

The surface area of a cube is 1734 sq. cm. Find its volume

A) 2334 cubic.cm B) 3356 cubic.cm
C) 4913 cubic.cm D) 3478 cubic.cm
 
Answer & Explanation Answer: C) 4913 cubic.cm

Explanation:

Let the edge of the cube bea. Then, 

 6a2 = 1734 

 => a = 17 cm.

  Volume =  a3 = 173 = 4193 cu.cm

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Q:

The perimeter of a square is 22 cm. Find its area (in cm2).

 

A) 60.5 B) 22.5  
C) 45   D) 30.25
 
Answer & Explanation Answer: D) 30.25

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 29616
Q:

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team ?

A) 20 years B) 21 years
C) 23 years D) 25 years
 
Answer & Explanation Answer: C) 23 years

Explanation:

Let the average age of the whole team be x years.

11x - (26 + 29) = 9 (x - 1)

=> 11x - 9x = 46

=> 2x = 46

=> x = 23.

So, average age of the team is 23 years.

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Filed Under: Average

57 29615
Q:

3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

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

Explanation:

Let the required no of working hours per day be x.

More pumps , Less working hours per day  (Indirect Proportion)

Less days, More working hours per day      (Indirect Proportion)

 Pumps4 : 3Days1 : 2 8:x

=> (4 * 1 * x) = (3 * 2 * 8)

=> x=12

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Filed Under: Chain Rule

47 29598
Q:

Select the figure which does NOT belong to the group.

 

 

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

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

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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 29555
Q:

What value should come in place of the question mark (?) in the following question?

68 x ? - 3421 = 591

A) 3249 B) 3481
C) 3364 D) 3136
 
Answer & Explanation Answer: B) 3481

Explanation:

68 x ? - 3421 = 591? = 4012/68? = 59 x 59? = 3481

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0 29543
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

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