Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two typists of varying skills can do a typing jobin6 minutesifthey work together.Ifthe first typist typed alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work.Howmany minutes would it take the slower typist to complete the typing job working alone?

A) 10 minutes B) 15 minutes
C) 12 minutes D) 20 minutes
 
Answer & Explanation Answer: B) 15 minutes

Explanation:

Working efficiency of both typist together = 100/6 = 16.66%

Let the efficiency of first typist be x and second typist be (16.66 –x)

First typist for 4 minute + second tyoistfor 6 minute = 80% work

⇒4x + (16.66 –x) X 6 = 80%

⇒4x + 100% -6x = 80%,

⇒x = 10%

First typist typed 10% per minute, second typst typed (16.66 –10) = 6.66% per minute

Slowest is second typist complete whole job in 100/6.66 = 15.01 = 15 minute

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

A) 45 B) 40
C) 35 D) 44
 
Answer & Explanation Answer: C) 35

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than Duronto. The speed of Duronto (in km/hr) is?

A) 60 B) 72
C) 66 D) 78
 
Answer & Explanation Answer: B) 72

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

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Q:

Which of the following is not a prime number?

A) 5 B) 11
C) 21 D) 37
 
Answer & Explanation Answer: C) 21

Explanation:

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

 

Factors of 5 are 1, 5

Factors of 11 are 1, 11

Factors of 21 are 1, 3, 7, 21

Factors of 37 are 1, 37.

 

Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

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

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Q:

An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be the value of the investment in five years time, if the interest is compounded annually

A) 7346.64 B) 8346
C) 3456 D) 4567
 
Answer & Explanation Answer: A) 7346.64

Explanation:

The only part of this type of calculation that needs particular
care is that concerning the interest rate. The formula assumes that
r is a proportion, and so, in this case:
r = 0.08
In addition, we have P = 5,000 and n = 5, so:
V = P(1 + r)5 = 5,000 x (1 + 0.08)5 = 5,000 x 1.469328 = 7,346.64
Thus the value of the investment will be 7,346.64

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

Solve the triangle b=36 a=38 c=18 for perimeter of the triangle?

A) 74 units B) 92 units
C) 56 units D) 54 units
 
Answer & Explanation Answer: B) 92 units

Explanation:

We know, the perimeter of a triangle = sum of all the sides of a triangle = a + b + c

 

Here given that sides a = 38, b= 36 and c = 18

solve_the_triangle_b36_a38_c181537423406.jpg image

 

Now, perimeter of the triangle = a + b + c = 38 + 36 + 18 = 92 units.

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Filed Under: Volume and Surface Area
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Q:

Pipe A is an inlet pipe that can fill an empty cistern in 69 hours. Pipe B can drain the filled cistern in 46hours. When the cistern was filled the two pipes are opened one at a time for an hour each, starting withPipe B. how long will it take for the cistern to be empty?

A) 11 days 10 hours B) 11 days 7 hours
C) 11 days 12 hours D) 1 days 13 hours
 
Answer & Explanation Answer: B) 11 days 7 hours

Explanation:
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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the

 

A) 13 – 14 B) 15 – 16
C)  24 – 25 D) 19 – 21
 
Answer & Explanation Answer: D) 19 – 21

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

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