Quantitative Aptitude - Arithmetic Ability Questions

Q:

The tangent at any point of the circle is _________________ to the radius through the point of contact.

 

A) parallel B) intersecting
C) perpendicular D) equal
 
Answer & Explanation Answer: C) perpendicular

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

What is the probability that a leap year has 53 Saturdays and 52 Sundays ?

A) 1/7 B) 2/7
C) 1/2 D) 3/2
 
Answer & Explanation Answer: A) 1/7

Explanation:

A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Friday, Saturday}

Required Probability = 1/7

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Filed Under: Probability
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28 25153
Q:

How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters ?

A) 5^10 B) 10^5
C) 5P5 D) 5C5
 
Answer & Explanation Answer: A) 5^10

Explanation:

Each of the 10 letters can be posted in any of the 5 boxes.

 

So, the first letter has 5 options, so does the second letter and so on and so forth for all of the 10 letters.

 

i.e. 5*5*5*….*5 (upto 10 times) = 5 ^ 10.

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Q:

Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?

A) Rs. 1100 B) Rs. 500
C) Rs. 1200 D) Rs. 700
 
Answer & Explanation Answer: B) Rs. 500

Explanation:

Let the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + r

Adding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400

q = 1/3 (p + r) => 3q = p + r

Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300

r = 1200 - (p + q) => r = Rs.500.

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Filed Under: Partnership
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18 25143
Q:

 If the circumference of a circle is 88 cm, then what must be its area (in cm2)?

 

A) 1232   B) 616  
C) 704   D) 1408
 
Answer & Explanation Answer: B) 616  

Explanation:
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Filed Under: Area
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3 25142
Q:

The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit ?

A) Rs. 660 B) Rs. 560
C) Rs. 1060 D) Rs. 960
 
Answer & Explanation Answer: D) Rs. 960

Explanation:

Let C.P. = Rs. C.
Then, 832 - C = C - 448
2C = 1280 => C = 640
Required S.P. = 150% of Rs. 640 = 150/100 x 640 = Rs. 960.

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Filed Under: Profit and Loss
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48 25115
Q:

Find the volume (in cm3) of a hemisphere of diameter 14 cm.

 

 

A) 512.33 B) 718.67
C) 628 D) 825
 
Answer & Explanation Answer: B) 718.67

Explanation:
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Q:

The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275 , then the other is

A) 279 B) 283
C) 308 D) 318
 
Answer & Explanation Answer: C) 308

Explanation:

Other number = 11×7700275= 308

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Filed Under: HCF and LCM

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