TOPIC: Number Series
Directions (1-5): निम्नलिखित संख्या श्रृंखला के प्रश्नों में गलत संख्या ज्ञात कीजिए-
Q1. 12000 , 11880, 11520, 10920, 10080, 9120, 7680
(a) 7680
(b) 11520
(c) 9120
(d) 10080
(e) 10920
Q2. 18, 20 , 43, 133, 537, 2691, 16163
(a) 43
(b) 16163
(c) 133
(d) 537
(e) 2691
Q3. 180, 294, 458, 648, 900, 1210, 1584
(a) 180
(b) 1584
(c) 1210
(d) 294
(e) 458
Q4. 24, 48, 12, 96, 8, 192, 3
(a) 48
(b) 12
(c) 8
(d) 192
(e) 96
Q5. 1100, 1269, 1558, 1919, 2454, 3289, 4250
(a) 2454
(b) 1100
(c) 1919
(d) 3289
(e) 4250
Directions (6-10): निम्नलिखित प्रश्नों में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या मान आना चाहिए-
Q6. 25, 27, 33, ?, 65, 95
(a) 60
(b) 42
(c) 45
(d) 56
(e) 48
Q7. 560, 280, 700, 3150, 20475, ?
(a) 153562.5
(b) 174037.5
(c) 163800
(d) 194512.5
(e) 143325
Q8. 52, 46, 58, ?, 68, 26
(a) 38
(b) 40
(c) 36
(d) 42
(e) 32
Q9. 2, 6, 30, 210, 1890, ?
(a) 17790
(b) 21790
(c) 19790
(d) 18790
(e) 20790
Q10. 7500, 7379, 7210, 6921, 6560, ?
(a) 6076
(b) 5935
(c) 6031
(d) 6119
(e) 6160
Solutions:
S1. Ans(c)
Sol.
Here, the pattern followed is,
12000 – (120 ×1)=11880
11880 – (120 ×3)=11520
11520 – (120 ×5)=10920
10920 – (120 ×7)=10080
10080 – (120 ×9)= 9000
9000 – (120 ×11)= 7680
So, wrong number is 9120 which should be replaced by 9000
S2. Ans(b)
Sol.
Here, the pattern followed is,
18 ×1 +2 =20
20 ×2 +3 =43
43 ×3 +4 =133
133 ×4 +5 =537
537 ×5 +6 =2691
2691 ×6 +7 =16153
So, wrong number is 16163 which should be replaced by 16153
S3. Ans(e)
Sol.
Here, the pattern followed is
(6)³ – (6)² =180
(7)³ – (7)² =294
(8)³ – (8)² =448
(9)³ – (9)² =648
(10)³ – (10)² =900
(11)³ – (11)² =1210
(12)³ – (12)² =1584
So, wrong number is 458 which should be replaced by 448
S4. Ans(c)
Sol.
24 × 2 = 48
48 ÷ 4 = 12
12 × 8 = 96
96 ÷ 16 = 6
6 × 32 = 192
192 ÷ 64 = 3
So, wrong number is 8 which should be replaced by 6
S5. Ans(a)
Sol.
Here, the pattern followed is
1100 + (13)² =1269
1269 + (17)² =1558
1558 + (19)² =1919
1919 + (23)² =2448
2448 + (29)² =3289
3289 + (31)² =4250
So, wrong number is 2454 which should be replaced by 2448
S6. Ans(c)
Sol.
Here, the pattern followed is,
25 + 1² + 1 = 27
27 + 2² + 2 = 33
33 + 3² + 3 = 45
45 + 4² + 4 = 65
65 + 5² + 5 = 95
S7. Ans(b)
Sol.
Here, the pattern followed is
560 × 0.5 = 280
280 × 2.5 = 700
700 × 4.5 = 3150
3150 × 6.5 = 20475
20475 × 8.5 = 174037.5
S8. Ans(a)
Sol.
Here, the pattern followed is
52-2×3=46
46+3×4=58
58-4×5=38
38+5×6=68
68-6×7=26
S9. Ans(e)
Sol.
Here, the pattern followed is
2×(1+2)=6
6×(2+3)=30
30×(3+4)=210
210×(4+5)=1890
1890×(5+6)=20790
S10. Ans(c)
Sol.
Here, the pattern followed is
7500-11²=7379
7379-13²=7210
7210-17²=6921
6921-19²=6560
6560-23²=6031