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Reasoning Aptitude

NUMBER SERIES COMPLETION MCQs

Total Questions : 501 | Page 49 of 51 pages
Question 481. Find the missing term: 2, 15, 4, 12, 6, 7, ?, ?
  1.    8, 8
  2.    8, 0
  3.    3, 8
  4.    None of these
 Discuss Question
Answer: Option B. -> 8, 0
Let the missing terms of the series be x1 and x2.Thus, the sequence 2, 15, 4, 12, 6, 7, x1, x2 is a combination of two series:I. 2, 4, 6, x1 andII. 15, 12, 7, x2I consists of consecutive even numbers. So, missing term, x1= 8The pattern in II is - 3, - 5, ........So, missing term x2 = 7 - 7 = 0
Question 482. Find the missing number: 2/√5, 3/5, 4/5√5, 5/25, ?
  1.    6/5√5
  2.    6/25√5
  3.    6/125
  4.    7/25
 Discuss Question
Answer: Option B. -> 6/25√5
Clearly, the numerators of the given fractions are consecutive natural numbers. So, the numerator of the missing fraction should be 6. Also, the denominator of each fraction is multiplied by √5 to obtain the denominator of the next fraction. So. the denominator of the missing fraction should be 25√5. Hence,the missing term is 6/25√5
Question 483. In the series 3, 9, 15,.............what will be the 21st term?
  1.    117
  2.    121
  3.    123
  4.    129
 Discuss Question
Answer: Option C. -> 123
Clearly, 3 + 6 = 9, 9 + 6 = 15,.............So, the series is an A.P in which a = 3 and d = 6∴21st term = a + (21 - 1)d = a + 20d= 3 +20 × 6 = 123.
Question 484. Find the missing term: 0, 4, 6, 3, 7, 9, 6, ?, 12
  1.    8
  2.    10
  3.    11
  4.    14
 Discuss Question
Answer: Option B. -> 10
The given sequence is a combination of three series:I. 0, 3, 6 II. 4, 7, ? III. 6, 9, 12The pattern in each of these series is + 3So, missing term = 7 + 3 = 10
Question 485. Find the missing term: 2, 1, 2, 4, 4, 5, 6, 7, 8, 8, 10, 11, ?
  1.    9
  2.    10
  3.    11
  4.    12
 Discuss Question
Answer: Option B. -> 10
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, 10III. 3rd, 6th, 9th, 12th terms i.e., 2, 5, 8, 11Clearly, I. consists of consecutive even numbers. So, the missing term is 10.
Question 486. In the series 2, 6, 18, 54, ...., what will be the 8th term ?
  1.    4370
  2.    4374
  3.    7443
  4.    7434
 Discuss Question
Answer: Option B. -> 4374
Clearly, 2 × 3 = 6, 6 × 3 = 18, 18 × 3 = 54,..............S, the series is a G.P. in which a = 2, r = 3∴8th term = ar(8 - 1)= ar7 = 2 × 37 = (2 × 2187) = 4374
Question 487. Find out the wrong term: 445, 221, 109, 46, 25, 11, 4
  1.    25
  2.    46
  3.    109
  4.    221
 Discuss Question
Answer: Option B. -> 46
3 is subtracted from each number and the result divided by 2 to obtain the next number of the series,So, 46 is wrong and must be replaced by (109 - 3)/2 i.e., 53.
Question 488. Find out the wrong term: 11, 5, 20, 12, 40, 26, 74, 54
  1.    5
  2.    20
  3.    40
  4.    26
 Discuss Question
Answer: Option C. -> 40
The given sequence is a combination of two series:I: 11, 20, 40, 74 and II: 5, 12, 26, 54The correct pattern in I: is + 9, + 18, + 36,.....So, 40 is wrong and must be replaced by (20 + 18) i.e., 38.
Question 489. Find out the wrong term: 1, 5, 5, 9, 7, 11, 11, 15, 12, 17
  1.    11
  2.    12
  3.    17
  4.    15
 Discuss Question
Answer: Option B. -> 12
The given sequence is a combination of two series :I: 1, 5, 7, 11, 12 and II: 5, 9, 11, 15, 17The pattern in both I and II is + 4, + 2, + 4, + 2,
So, 12 is wrong and must be replaced by (11 + 2) i.e., 13.
Question 490. Find out the wrong term: 1, 5, 9, 15, 25, 37, 49
  1.    9
  2.    15
  3.    25
  4.    37
 Discuss Question
Answer: Option B. -> 15
The terms of the given series are 12 , (22 + 1), 32 , (42 + 1), 52 , (62 + 1), 72 So, 15 is wrong and must be replaced by (42 + 1) i.e., 17.

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