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Aptitude - Arithmetic Online Quiz

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.

Q 1 - If an A.P. have 4^th term as 14 and 12^th term as 70. What will be its 17^th term?

Answer : D

Explanation

  
Let's have first term as a, common difference is d then  
a + 3d = 14 ... (i)  
a + 11d = 70 ... (ii)  
Subtracting (i) from (ii)  
=> 8d = 56  => d = 7  
Using (i)  
=> a = 14 - 3d  = -7  
Using formula T_n = a + (n - 1)d    
T₁₇ = -7 + (17 - 1) x 7 = 105

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

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 - 5#2 is a three digit number with # as a missing number. If the number is divisible by 6, the missing number is?

Answer : A

Explanation

If the number is divisible by 6, the sum of the number must be divisible by 6.

Q 4 - The difference between 58% and 39% of a number is 247. What is 62% of that number?

Answer : B

Explanation

  
 Let the number be y.  
 According to question,       (58 - 39)% of y = 247  
 Or, y x (19/100) = 247  
 Or, y = 1300  
 ∴62% of 1300 = (62/100) x 1300 = 806

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

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 natural numbers which are multiples of 3 and lies between 100 and 200.

Answer : B

Explanation

 
 Here numbers are 102, 105, ..., 198 which is an A.P. Here a = 102,  d = 23, l = 198. 
 Using formula T_n = a + (n - 1)d 
 T_n = 102 + (n - 1) x 3 = 198 
 => 99 + 3n = 198 
 => n = 99 / 3 = 33 
 Now Using formula S_n = (n/2)(a + l)  
 ∴ Required sum = (33/2)(102+198)  
 = 33 x 150  = 4950

Q 7 - If a ≠ b then which of the following statement is correct?

Answer : C

Explanation

For any two unequal number a and b, arithmetic mean is always greater than their geometric mean. ∴ c is the correct answer.

Q 8 - Suman purchases N.S.C. every year whose value exceed s previous year's N.S.C by 400 Rs. In 8 years, she has bought N.S.Cs of 48000 Rs. What was the value of N.S.C. she bought in first year?

Answer : D

Explanation

   
 Let the required amount is a. 
 Also, d = 400, n = 8, S₈ = 48000  
 Using formula S₈ = (n/2)[2a + (n-1)d  
 => (8/2)[2a + (8-1)400] = 48000  
 => 4(2a + 7 x 400) = 48000  
 => 2a + 3800 = 12000  
 => a = 9200 / 2 = 4600

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

Answer : C

Explanation

 Here a = 4, d = 4.5 - 4 = 0.5, n = 115 
 Using formula T_n = 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?

Answer : B

Explanation

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

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