Series Completion — Part 1 MCQs with Explanations

The pattern is - 21, - 19, - 17, - 15,..... So, missing term = 48 - 13 = 35.

The given series is: 589654237, 89654237, 8965423, 965423, ? Step 1: Observe the pattern in the series. Step 2: The first number 589654237 loses the first digit '5' to become 89654237 . Step 3: The second number 89654237 loses the last digit '7' to become 8965423 . Step 4: The third number 8965423 loses the first digit '8' to become 965423 . Step 5: The fourth number 965423 loses the last digit '3' to become 96542 . Pattern Observed: The series alternates between removing the first digit and the last digit. Final Step: Following this pattern, the next number after 965423 should be 96542 (removing the last digit '3' ). Thus, the correct answer is: 96542 (Option D).

Each term in the series is obtained by adding 1 to the square of the preceding term. So, missing term = (101) 2 + 1 = 10202.

The pattern is - 45, - 35, - 25, ..... So, missing term = 20 - 15 = 5.

The series consists of squares and cubes of consecutive natural numbers i.e. 1 2 , 1 3 , 2 2 , 2 3 , 3 2 , 3 3 , 4 2 , ..... So, missing term = 4 3 = 64.

Let's break down this number series question! The series is: 1, 2, 3, 6, 9, 18, ?, 54 Look for a pattern. It's not a simple addition or subtraction. Notice this: 1 + 2 = 3 3 + 6 = 9 9 + 18 = ? It looks like each number is the sum of the two numbers before it. So, to find the missing number: 9 + 18 = 27 Therefore, the missing number is 27. The correct answer is B. Double-check: 18 + 27 = 45 (Incorrect so that Logic is wrong) Notice this new Logic: 1 x 2 = 2 2 x (3/2) = 3 3 x 2 = 6 6 x (3/2) = 9 9 x 2 = 18 18 x (3/2) = ? So, to find the missing number: 18 x (3/2) = 27 Then check it with the next number: 27 x 2 = 54 Therefore, the missing number is 27. The correct answer is B.

The pattern is x 2 + 1, x 2 - 1, x 2 + 1, x 2 - 1,..... So, missing term = 101 x 2 + 1 = 203.

The pattern is + 1, + 3, + 6,....., i.e. + 1, + (1, + 2), + (1 + 2 + 3),..... So, missing term = 15 + (1 + 2 + 3 + 4) = 25.

The sum of any three consecutive terms of the series gives the next term. So, missing number = 8 + 15 + 27 = 50.

The given sequence is a combination of two series : I. 3, 7, 13, 21, 31, ? and II. 4, 7, 13, 22, 34 The pattern in I is + 4, + 6, + 8, + 10,..... The pattern in II is + 3, + 6, + 9, + 12,..... So, missing term = 31 + 12 = 43.

The pattern is - 4, - 9, - 16,.....i.e. - 2 2 , - 3 2 , - 4 2 ,..... So, missing pattern = 169 - 5 2 = 169 - 25 = 144.

Clearly, the given series consists of prime numbers starting from 2. So, the missing term is the prime number after 11, which is 13.

The pattern is + 6, + 9, + 12, + 15, ..... So, missing term = 21 + 12 = 33.

The pattern is + 3, + 4, + 5, + 6,..... So, missing term = 9 + 5 = 14.

The pattern is + 1, x 1, + 2, x 2, + 3, x 3, + 4, x 4, + 5. So, missing term = 13 x 3 = 39.

The pattern is x 3, + 4, x 5, + 6, x 7,..... So, missing term = 1127 + 8 = 1135.

The given sequence is a combination of three series : I. 1st, 4th, 7th, 10th, 13th terms i.e. 2, 4, 6, 8, ? II. 2nd, 5th, 8th, 11th terms i.e. 1, 4, 7, 10 III. 3rd, 6th, 9th, 12th terms i.e. 2, 5, 8, 11 Clearly, I consists of consecutive even numbers. So, the missing term is 10.

The given sequence is a combination of two series: I. 13, 24, 35, 46, 57 and II. 32, 43, ?, 65, 76 The pattern in both I and II is + 11. So, missing term = 43 + 11 = 54.

The pattern is + 2, + 4, + 8, + 16,..... So, missing term = 28 + 8 = 36.

The terms of the given series are (2 2 - 1), (4 2 - 1),....., (8 2 - 1), (10 2 - 1), (12 2 - 1). So, missing term = (6 2 - 1) - (36 - 1) = 35.

Clearly, 90 = 30 x 3, 180 = 6 x 30, 12 = 2 x 6, 50 = 25 x 2, 100 = 4 x 25, 200 = 50 x 4. So, missing term = 3 x 50 = 150.

The pattern is ÷ 2, x 4, ÷ 2, x 4, ..... So, missing term = 192 ÷ 2 = 96.

The pattern is + 13, + 26, + 39,..... So, missing term = 80 + 52 = 132.

The pattern is + 5, + 10, + 15, + 20, ... So, missing term = 56 + 25 = 81.

The pattern is + 84, - 168, + 336,.....i.e. + 84, - (84 x 2), + (84 x 2 2 ), ..... So, missing term = 815 - (84 x 2 3 ) = 815 - 672 = 143.

The terms of the given series are numbers formed by joining together consecutive odd numbers in order i.e. 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11, ..... So, missing term = number formed by joining 11 and 13 = 1113.

The pattern is + 3, + 6, + 12, + 24,..... So, missing term = 46 + 48 = 94.

Each term in the series is the product of the digits of the preceding term. So, missing term = 1 x 8 = 8.

The pattern is + 5, - 2, + 5, - 2,..... So, missing term = 36 - 2 = 34.

The series consists of squares of consecutive odd numbers i.e. 1 2 , 3 2 , 5 2 , 7 2 , 9 2 ,..... So, missing term = 11 2 = 121.

The given series consists of squares of consecutive odd numbers i.e. 1 2 , 3 2 , 5 2 , 7 2 ,..... So, missing term = 9 2 = 81.

The pattern is + 0, + 3, + 8, + 15, ..... i.e. + (l 2 - 1), + (2 2 - 1), + (3 2 - 1), + (4 2 - 1), ..... So, missing term = 28 + (5 2 - 1) = 28 + 24 = 52.

The pattern is + 2, + 6, + 6, + 10, + 10,..... So, missing term = 14 + 10 = 24.

The pattern is + 4, + 9, + 16, + 25, + 36, ..... i.e. + 2 2 , + 3 2 , + 4 2 , + 5 2 , + 6 2 ,..... So, missing term = 91 + 7 2 = 91 + 49 = 140.

The pattern is ÷ 1, ÷ 2, ÷ 3, ÷ 4, ÷ 5. So, missing term = 240 ÷ 1 = 240.

The pattern is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4,..... So, missing term = 112 x 5 + 5 = 565.

The pattern is + 11, + 22, + 33, ..... So, missing term = 72 + 44 = 116.

Let the missing terms of the series be x 1 and x 2 . Thus, the sequence 20, 20, 19, 16, 17, 13, 14, 11, xv x2 is a combination of two series : I. 20, 19, 17, 14, x 1 and II. 20, 16, 13, 11, x 2 The pattern in I is - 1, - 2, - 3,......So, missing term, x 1 = 14 - 4 = 10. The pattern in II is - 4, - 3, - 2,......So, missing term, x 2 = 11 - 1 = 10.

The pattern is + 36, + 60, + 90,.....i.e. + [6 x (6 + 0)], + [6 x (6 + 4)], + [6 x (6 + 9)],... So, missing term = 210 + [6 x (6 + 15)] = 210 + 126 = 336.

The given sequence is a combination of two series : I. 625, 125, 25, 5 and II. 5, 25, ? The pattern in I is ÷ 5, while that in II is x 5. So, missing term = 25 x 5 = 125.