Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time

A) Rs.51.25 B) Rs.61.25
C) Rs.51 D) Rs.42
 
Answer & Explanation Answer: A) Rs.51.25

Explanation:

Sum = Rs.(50*100)/2*5=Rs.500

Amount=Rs.[500*(1+5/100)2]

= Rs. 551.25

 

 C.I = Rs.(551.25-500)= Rs.51.25

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Filed Under: Compound Interest
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Q:

Simon deposits $400 in an account that pays 3% interest compounded annually. What is the balance of Simon’s account at the end of 2 years?

A) 424.36 B) 524.56
C) 545.36 D) 456.36
 
Answer & Explanation Answer: A) 424.36

Explanation:

I=Prt

 

I=12

 

Balance = P +Prt

 

412

 

Find the balance at the end of the second year.

 

I = Prt=12.36

 

Balance =P + Prt

 

424.36

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Filed Under: Compound Interest
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Q:

What is the probability of getting a sum 9 from two throws of a dice ?

A) 1/6 B) 1/2
C) 1/9 D) 3/4
 
Answer & Explanation Answer: C) 1/9

Explanation:

In two throws of a die, n(s)=(6 x 6)=36

 

let E= Event of geting a sum 9={(3,6),(4,5),(5,4),(6,3)}

 

P(E) = n(E)/n(S) = 4/36 = 1/9

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Q:

Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?

A) 8/15 B) 7/15
C) 1/15 D) 4/15
 
Answer & Explanation Answer: B) 7/15

Explanation:

Given total students in the class = 60
Students who are taking Economics = 24 and
Students who are taking Calculus = 32
Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4
Students who are taking calculus only = 32 - 4 = 28
probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

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Q:

Simplify 5x(x + 2) + 4x

 

 

A) 5x2 + 10 B) 9x + 10
C) 5x2 - 14x D) 5x2 + 14x
 
Answer & Explanation Answer: D) 5x2 + 14x

Explanation:
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Filed Under: Simplification
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Q:

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A) 1260 B) 210
C) 210 x 6! D) 1512
 
Answer & Explanation Answer: A) 1260

Explanation:

A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.

Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260

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Q:

If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

A) 48 paise B) 54 paise
C) 56 paise D) 72 paise
 
Answer & Explanation Answer: A) 48 paise

Explanation:

Let the required weight be x kg.

 

 

 

Less weight, Less cost (Direct Proportion)

 

 

 

 250 : 200 :: 60 : x   =>    250 x x = (200 x 60)

 

 

 

=>

 

 

 

=> x = 48.

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Q:

At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years  ?

A) 4.58 % B) 5.96 %
C) 6.52 % D) 4.98 %
 
Answer & Explanation Answer: B) 5.96 %

Explanation:

Difference in amount = 514 - 415 = 99

99 = (415 x 4 x R)/100

R = 5.96%

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Filed Under: Simple Interest
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