Series & Patterns
123 questions available
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Q61.What is the sum of the first 1000 positive integers?
Correct Answer: B
Using the arithmetic series sum formula S_n = n(n+1)/2. For n=1000: S = 1000 × 1001 / 2 = 500 × 1001 = 500500.
Q62.Complete the given series: 6, 13, 28, _____?
Correct Answer: D
The pattern is multiplying by 2 and adding an increasing integer: 6 × 2 + 1 = 13; 13 × 2 + 2 = 28; 28 × 2 + 3 = 59.
Q63.What comes next in the series: 100, 98, 94, 88, 80, 70, ?
Correct Answer: A
The differences decrease by successive even numbers: -2, -4, -6, -8, -10. Next difference is -12: 70 - 12 = 58.
Q64.What is the next number in the sequence: 23, 5, 63, 9, 73, ?
Correct Answer: A
The sequence alternates. Odd positions: 23, 63, 73. Even positions: 5, 9, ? (increasing by +4). Next even term is 9 + 4 = 13.
Q65.What comes next in the pattern: CAB, GEF, ?
Correct Answer: B
First letter: C → G (+4) → K (+4). Second letter: A → E (+4) → J (+5) wait. Let's check: C to G is +4, A to E is +4, B to F is +4. Next term would be K, I, J but arranged in reverse, which is KJI.
Q66.What is the next term in the series: 1, 10, 19, 28, _____?
Correct Answer: C
The common difference between terms is +9. Thus, the next term is 28 + 9 = 37.
Q67.What comes next in series: 7, 11, 19, ........?
Correct Answer: B
The differences between consecutive terms are +4, +8, and then +12 (increasing by 4 each time). 19 + 12 = 31.
Q68.What is the sum of all the numbers between 1 and 31?
Correct Answer: B
Sum of first n natural numbers is given by: n(n + 1) / 2. For n = 31: 31 * (32) / 2 = 31 * 16 = 496.
Q69.What comes next in the series? 8, 16, 24, 32
Correct Answer: B
The series represents consecutive multiples of 8: 8, 16, 24, 32. The next term is: 32 + 8 = 40.
Q70.Find the missing number: 2, 5, 10, 17, ...?
Correct Answer: C
The difference between terms increases as consecutive odd numbers: 2+3=5, 5+5=10, 10+7=17. Next is 17 + 9 = 26.
Q71.Find the missing number in the series: 2, 4, 3, 6, 4, __ ?
Correct Answer: C
This series is composed of two alternating sequences: (2, 3, 4, ...) in odd positions, and (4, 6, 8, ...) in even positions. Thus, the next even position is: 6 + 2 = 8.
Q72.Find the missing number in the series: 5, 7, 8, 10, 11, __, 13
Correct Answer: A
The pattern alternates by adding 2 then adding 1: 5+2=7, 7+1=8, 8+2=10, 10+1=11. After 11, we add 1 to get 12, and then 12 + 1 = 13.
Q73.What comes next in the series: 63, 48, 35, 15, ___?
Correct Answer: B
The sequence is: 63, 48, 35, 15, ? The differences are -15, -13, -20. Following an alternating difference pattern of -15, -13, -20, -13, the next term is: 15 - 13 = 2.
Q74.Find the missing (?) in the series: FHJ, KMO, PRT, ?
Correct Answer: D
Inside each triad, letters increment by +2 (F-H-J, K-M-O, P-R-T). The first letters of successive triads increment by +5 (F->K->P). Next first letter is P(16) + 5 = U(21). Continuing by +2 yields U-W-Y.
Q75.In the following series, what comes next? 1, A, 9, I, 17, .... ?
Correct Answer: C
Numbers increase by +8 (1, 9, 17). Letters correspond to those exact alphabetical positions: A (1st), I (9th), Q (17th). The next letter is therefore Q.
Q76.AB/m, EF/o, ......., MN/s
Correct Answer: B
The alphabetical pairs increment their first letters by +4: AB -> EF -> IJ -> MN. The letter suffixes after the slash increment by +2: m(13) -> o(15) -> q(17) -> s(19). Thus, IJ/q is the missing term.
Q77.Sequence: 2, 6, 14, 30, 62, .....?
Correct Answer: B
The differences are +4, +8, +16, +32 (each doubles). The next difference is +64: 62 + 64 = 126.
Q78.The next term in the series 3C, 5E, 7G, 9I, 11K, is?
Correct Answer: B
Numbers increase by +2: 3, 5, 7, 9, 11, 13. Letters skip one each time: C(3), E(5), G(7), I(9), K(11), M(13). So the next term is 13M.
Q79.Which of the following figure completes the interlocking floral shapes pattern?
Correct Answer: D
By examining the symmetry of the interlocking lines of the floral shapes, the missing piece must align with all four surrounding quadrants, which corresponds to option D.
Q80.Complete the series 9, 7, 5, 3, 1,.........?
Correct Answer: B
The series decreases by 2 each time. The next term is 1 - 2 = -1.