Quantitative Aptitude - Arithmetic Ability Questions

Q:

If an investment can earn 4% compounded monthly, what amount must you invest now in order to accumulate $10,000 after 3 years?

A) 8695.61 B) 6786
C) 3478 D) 4092
 
Answer & Explanation Answer: A) 8695.61

Explanation:

i=j/m

PV = FV (1+  i)^-n 

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Filed Under: Compound Interest
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Q:

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

A) 40/3% B) 20%
C) 25% D) 27%
 
Answer & Explanation Answer: C) 25%

Explanation:
Let the breadth of the rectangle = x
Length of the the rectangle will be = 3 times of breadth = 3x
So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x
New breadth after increase = x + 10x/100 = 1.1x
New length after increase = 3x + 30*3x/100 = 3.9x
New perimeter = 2(1.1x + 3.9x) = 10x
Percentage change in perimeter = ( 10x-8x)*100/8x = 25%
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A) 4 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:

Let the required number of bottles be x.

 

 

 

More weavers, More mats (Direct Proportion)

 

 

 

More days, More mats (Direct Proportion)

 

 

 

Wavers   4:8Days       4:8  :: 4:x

 

 

 

 4 x 4 x x = 8 x 8 x 4

 

 

 

=> x= 8*8*44*4

 

 

 

=>  x = 16.

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Q:

If the rate of inflation for the next 20 years is 2.5% per year, what annual income will be needed 20 years from now to have the same purchasing power as a $30,000 annual income today?

A) 39158 B) 49158
C) 59158 D) 69158
 
Answer & Explanation Answer: B) 49158

Explanation:

i=j/m

FV = PV(1+  i)^n

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Filed Under: Compound Interest
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Q:

The cost price of a college bag is 240% more than the profit obtained on it selling at Rs. 1540. What is the cost price of that college bag?

A) Rs. 1190 B) Rs. 1288
C) Rs. 1365 D) Rs. 1452
 
Answer & Explanation Answer: A) Rs. 1190

Explanation:

Let the profit be Rs. p

Then Cost price of the bag = 340p/100 = 3.4p

According to question,

3.4p + p = 1540

4.4p = 1540

p = 1540/4.4

p = 350

The profit p = Rs, 350

 

Hence, The cost price of the bag = 3.4p = 3.4 x 350 = Rs. 1190.

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Filed Under: Profit and Loss
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Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit % ?

A) 22.5% B) 25%
C) 20% D) 33.33%
 
Answer & Explanation Answer: B) 25%

Explanation:

As water costs free, water sold at cost price of milk gives the profit.

Required profit % = 5/20 x 100 = 5 x 5 = 25%.

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Filed Under: Alligation or Mixture
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Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is?

A) 1/26 B) 1/13
C) 2/13 D) 1/52
 
Answer & Explanation Answer: A) 1/26

Explanation:

Here in this pack of cards, n(S) = 52

Let E = event of getting a queen of the club or a king of the heart

Then, n(E) = 2

P(E) = n(E)/n(S) = 2/52 = 1/26

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Filed Under: Probability
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Q:

What is the square root of (√5 + 2)/(√5 – 2)?

 

A) √5 – √4   B) √5 + 2  
C) 5 + √2   D) 7
 
Answer & Explanation Answer: B) √5 + 2  

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

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