Aptitude - Arithmetic Online Quiz

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Following quiz provides Multiple Choice Questions (MCQs) related to Basic Arithmetic. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - What is the 16th term of A.P. 3, 5, 7, 9 ...?

A - 48

B - 50

C - 33

D - 35

Answer : C

Explanation

   
Here a = 3, d = 5 - 3 = 2, n = 16   
Using formula Tn = a + (n - 1)d   
T16 = 3 + (16 - 1) x 2 = 33

Q 2 - How many 3 digits numbers are there which are divisible by 6?

A - 102

B - 150

C - 151

D - 156

Answer : B

Explanation

  
Here series is 102, 108, 114, ... 996.  
Here a = 102,  d = 108 - 102 = 6     
Using formula Tn = a + (n - 1)d     
Tn = 102 + (n - 1) x 6 = 996     
=> 102 + 6n - 6 = 996    
=> 6n = 900  
=> n = 150

Q 3 - The value of (3n+3n-1)/(3n+1-3n) is?

A - 5/2

B - 3/2

C - 2/3

D - 1/3

Answer : C

Explanation

  
 (3n+3n-1)/(3n+1-3n)  = (1+3-1)/ (3-1)  
 = 2/3

Q 4 - If (28)3 is subtracted from the square of a number, the answer so obtained is 1457. What is the number?

A - 127

B - 136

C - 142

D - 153

Answer : D

Explanation

 
 Let the number = x 
 According to question, x2 - 283 = 1457 
 or, 
 x = 153

Q 5 - What is next in 2, 5, 8,...?

A - 7

B - 9

C - 10

D - 11

Answer : D

Explanation

 
 Here numbers are 2, 5, 8, ... which is an A.P. Here a = 2,  d = 3,    
 So next number will be 8 + 3 = 11.

Q 6 - What is the sum of 5 + 6 + 7 + ... + 19?

A - 150

B - 170

C - 180

D - 190

Answer : C

Explanation

 
 Here a = 5,  d = 1, l = 19   
 Using formula Tn = a + (n - 1)d    
 Tn = 5 + (n- 1) x (1) = 19    
 => n = 14 + 1 = 15 
 ∴ Sn = (n/2)(a + l) 
 = (15/2)(5 + 19) 
 = 15 x 12 = 180

Q 7 - What is the sum of (1 + 1/2 + 1/4 + ...)?

A - 2

B - 4

C - 8

D - 10

Answer : A

Explanation

  
 This is an infinite G.P. with a = 1 and r = 1/2.  
 Sum of infinite G.P. = a/(1-r)  = 1/(1-1/2)  = 1/(1/2)  = 2

Q 8 - If population of a bacteria doubles every 2 minutes. In how much minutes, it will grow from 1000 to 512000?

A - 10

B - 12

C - 14

D - 18

Answer : D

Explanation

   
 Let the required growth be 1000, 2000, 4000,...512000.  
 Here, a = 1000, r = 2, Tn = 512000  
 Using formula Tn = arn-1 
 => 1000 x 2n-1 = 512000  
 => 2n-1 = 512 = 29  
 => n - 1 = 9  => n = 10 
 ∴ time taken will be 2 x 9 = 18 minutes.

Q 9 - Which term of 2, 7, 12, 17... is 92?

A - 16th

B - 17th

C - 18th

D - 19th

Answer : D

Explanation

  
 Here a = 2,  d = 7 - 2 = 5,  
 Let there be n term.  
 Using formula Tn = a + (n - 1)d  
 Tn = 2 + (n - 1) x 5 = 92  
 => 5n - 3 = 92  
 => n = 19

Q 10 - (13 + 23 ... + 203) = ?

A - 44400

B - 34100

C - 24100

D - 44100

Answer : D

Explanation

  
 Using formula  (13 + 23 ... +  n3) = [(1/2)n(n+1]2  
 (13 + 23 ... + 203) = [(20 x 21)/2]2 
 = 2102  
 = 44100
aptitude_arithmetic.htm
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