Reasoning Aptitude
NUMBER SERIES COMPLETION MCQs
Total Questions : 501
| Page 49 of 51 pages
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
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
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
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
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.
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.
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
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
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.
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.
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
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
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.
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.
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.
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.
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.
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.
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.
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.