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 y if 2y, y+10, 3y+2 are in an A.P.?

A - 4

B - 5

C - 6

D - 8

Answer : C

Explanation

    
As numbers are in A.P.  
Thus (y + 10) - 2y = (3y + 2) - (y + 10)  
=> 10 - y = 2y - 8  
=> -3y = -18  
=> y = 6  

Q 2 - Find the unit digit of 415 x 66?

A - 0

B - 6

C - 8

D - 4

Answer : D

Explanation

  
Unit digit of 415 is 4 and unit digit of  66  is 6.  
So unit digit of 415 x 66  will be 4 x 6 =24 i.e., 4.  

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 123 is subtracted from the square of a number, the answer so obtained is 976. What is the number?

A - 58

B - 56

C - 54

D - 52

Answer : D

Explanation

  
 Let the number be x.  
 According to question:       
 x2 - 123 = 976  
 or, x = 52 

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 all odd numbers between 100 and 200?

A - 3750

B - 6200

C - 6500

D - 7500

Answer : D

Explanation

  
 Required sum = 101 + 103 + ... + 199 which is an A.P. where a = 101, d = 2, l = 199.  
 Using formula Tn = a + (n - 1)d  
 Tn = 101 + (n-1)2 = 199  
 => 2n = 199 - 99 = 100  
 => n = 50  
 Now Using formula Sn = (n/2)(a + l)  
 ∴ Required sum = (50/2)(101+199)  = 50 x 150  = 7500 

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 - 12 + 22 ... + x2 = [x(x+1)(2x+1)]/6. What is 12 + 32 +... + 192?

A - 1330

B - 2100

C - 2485

D - 2500

Answer : A

Explanation

  
 (12 + 32 ... + 192)  = (12 + 22 ... + 192) - (22 + 42 ... + 182)  
 Using formula  (12 + 32 ... +  n2) = [n(n+1)(2n+1)]/6  [19(19+1)(38+1)]/6 - (1 x 22 +  22 x 22 + 22 x  32 + ... + 22 x  92)  
 = 2470 - 22(12 + 22 + ... + 92)  
 = 2470 -  (4 x 9 x 10 x 19)/6  
 = 2470 - 1140  
 = 1330 

Q 9 - What is the 115th term of A.P. 4, 4.5, 5, 5.5 ... ?

A - 56

B - 55.5

C - 59

D - 55

Answer : C

Explanation

 Here a = 4, d = 4.5 - 4 = 0.5, n = 115 
 Using formula Tn = a + (n - 1)d 
 T115 = 4 + (115 - 1) x 0.5 
 = 59 

Q 10 - How many 2 digits numbers are there which are divisible by 6?

A - 12

B - 15

C - 16

D - 17

Answer : B

Explanation

  
 Here series is 12, 18, 24, ... 96.  
 Here a = 12,  d = 18 - 12 = 6     
 Using formula Tn = a + (n - 1)d     
 Tn = 12 + (n - 1) x 6 = 96     
 => 12 + 6n - 6 = 96    
 => 6n = 90  
 => n = 15  
aptitude_arithmetic.htm
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