2, 6, 12, 20, 30,…. 56
Answer: C
Correct answer: 42
Each term is the product of two consecutive numbers: \( 1\cdot2=2 \), \( 2\cdot3=6 \), \( 3\cdot4=12 \), \( 4\cdot5=20 \), \( 5\cdot6=30 \), so the next is \( 6\cdot7 = \mathbf{42} \), followed by \( 7\cdot8 = 56 \).
Please log in or register to report this question.
Which is the number that should come next in the following series? 4, 6, 12, 14, 28, 30, --
Answer: D
The given sequence is a combination of two series 4, 12, 28, .... and 6, 14, 30, .... Clearly the number to be found belongs to the first series. Now the pattern followed is +8, +16, +32. So, missing number = (28 + 32) = 60 Hence the answer is (4)
Please log in or register to report this question.
17, 26, 37, 50, 65,….101
Answer: A
Correct answer: 82
Each term is one more than a square: \( 4^2+1=17 \), \( 5^2+1=26 \), \( 6^2+1=37 \), \( 7^2+1=50 \), \( 8^2+1=65 \), so the next is \( 9^2+1 = \mathbf{82} \), followed by \( 10^2+1 = 101 \).
Please log in or register to report this question.
5, 11, 17, 25, 33, 43, --
Answer: D
Correct answer: 53
The gaps come in pairs: \( +6, +6 \), then \( +8, +8 \), then \( +10 \) and \( +10 \) again. So after 43 the next term is \[ 43 + 10 = \mathbf{53} \]
Please log in or register to report this question.
999, 7999, 26999, 63999,….
Answer: B
Correct answer: 124999
Each term is a cube multiplied by a thousand, less one: \( 1000-1 \), \( 8000-1 \), \( 27000-1 \), \( 64000-1 \), so the next is \( 125000 - 1 = \mathbf{124999} \).
Please log in or register to report this question.
1, 4, 9, 16, 25, 36, 49, … 81
Answer: C
Correct answer: 64
The terms are the squares in order, \( 1^2 \) to \( 7^2 \), so the next is \( 8^2 = \mathbf{64} \), followed by \( 9^2 = 81 \).
Please log in or register to report this question.
3, 8, 15, 24,…48
Answer: D
Correct answer: 35
Each term is one less than a square: \( 2^2-1=3 \), \( 3^2-1=8 \), \( 4^2-1=15 \), \( 5^2-1=24 \), so the next is \( 6^2-1 = \mathbf{35} \), followed by \( 7^2-1 = 48 \).
Please log in or register to report this question.
0, 6, 24, 60,…. 210
Answer: D
Correct answer: 120
Each term is a cube less its own root: \( 1^3-1=0 \), \( 2^3-2=6 \), \( 3^3-3=24 \), \( 4^3-4=60 \), so the next is \( 5^3-5 = \mathbf{120} \), followed by \( 6^3-6 = 210 \).
Please log in or register to report this question.
1010, 8020, 27030, 64040,….
Answer: B
Correct answer: 125050
Each term is a cube times a thousand, plus ten times its root: \( 1000+10 \), \( 8000+20 \), \( 27000+30 \), \( 64000+40 \), so the next is \( 125000 + 50 = \mathbf{125050} \).
Please log in or register to report this question.
5040, 720, 120, 24, ….2,1
Answer: C
Correct answer: 6
The terms are the factorials counting downwards: \( 7! = 5040 \), \( 6! = 720 \), \( 5! = 120 \), \( 4! = 24 \), so the next is \( 3! = \mathbf{6} \), followed by \( 2! = 2 \) and \( 1! = 1 \).
Please log in or register to report this question.
