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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.
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Q 1 - If an A.P. have 4th term as 14 and 12th term as 70. What will be its first term?
Answer : B
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
Q 2 - Which of the following is equal to 205x15?
Answer : B
Explanation
205x15= (200+5) x15 =200x15+5x15
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 - How many multiples of 3 are available between 15 and 105 including both?
Answer : B
Explanation
Here numbers are 15, 18, ..., 105 which is an A.P. Here a = 15, d = 3, Using formula Tn = a + (n - 1)d T11 = 15 + (n - 1) x 3 = 105 => 12 + 3n = 105 => n = 93 / 3 = 31
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 - Sum of three numbers in G.P. is 28 and there product is 512. What are the numbers?
Answer : C
Explanation
let the numbers are a/r, a, ar Then a/r x a x ar = 512 => a3 = 83 gt; a = 8 Now a/r + a + ar = 28 => 8/r + 8 + 8r = 28 => 8/r + 8r = 20 => 2/r + 2r = 5 => 2r2 + -5r + 2 = 0 => 2r2 + -4r -r + 2 = 0 => 2r(r-2) - (r-2)=0 => (r-2)(2r-1) = 0 => r = 2 or r = 1/2 ∴ numbers are 4, 8, 16.
Answer : D
Explanation
Using formula (12 + 32 ... + n2) = [n(n+1)(2n+1)]/6 142 + 152 ... + 302 = (12 + 22 ... + 302) - (12 + 22 ... + 132) = (30 x 31 x 61)/ 6 - (13 x 14 x 27) / 6 = 9455 - 819 = 8636
Answer : C
Explanation
Here a = 14, d = 9 - 14 = -5, n = 15 Using formula Tn = a + (n - 1)d T15 = 14 + (15 - 1) x -5 = -56
Answer : A
Explanation
Here a = 72, d = 63 - 72 = -9, Using formula Tn = a + (n - 1)d Tn = 72 + (n - 1) x -9 = 9 => 81 - 9n = 9 => n = 8