Olympiad Test: Pattern - 2 - Class 7 MCQ

The pattern is × 2,× 3,× 4,... ∴ Missing number = 24×5=120

(8 × 7) + (9 × 3) = 56 + 27 = 83 
(13 × 5) + (8 × 4) = 65 + 32 = 97
(17 × 4) + (7 × 9) = 68 + 63 = 131

√64 + √25 + √36+ √4 = 8 + 5 + 6 + 2 
= 21 → 21² = 441
81 + 49 + 4+ 1 = 9 + 7 + 2 + 1 
= 19 → 19² = 361
√121 + √4 + √9+ √100 = 11 + 2 + 3 + 10 
= 26 → 26² = 676

³√64 + ³√1 + ³√8 +³√27 = 4 + 1 + 2 + 3 = 10
³√27 + ³√8 +³√216 + ³√125 = 3 + 2 + 6 + 5 
= 16
³√64 +³√729 + ³√1 + ³√343 = 4 + 9 + 1 + 7 = 21

(1² + 5² + 4² + 3²) × 10 = 510 
(2² + 7² + 6² + 4²) × 10 = 1050
(5² + 3² + 8² + 9²)  × 10 = 1790 

The pattern is

×4,−2, ×4,−2, ........ So,  88−2=86

5 × 2 – 1 = 9;
9 × 2 + 1 = 19
19 × 2 – 1 = 37
37 × 2 + 1 = 75
75 × 2 – 1 = 149
149 × 2 + 1 = 299 
299 × 2 – 1 = 597

7² – 1 = 48
5² – 1 = 24
6² – 1 = 35 
12² – 1 = 143 

3 + 2 + 5 + 4 = 14 → 142 = 196
6 + 1 + 8 + 7 = 22 → 222 = 484
5 + 9 + 3 + 7 = 24 → 242= 576

4³ – 1 = 63
2³ – 1 = 7
5³ – 1 = 124
8³ – 1 = 511

(4 + 8 + 7 + 5) × 7 = 24 × 7 = 168
(9 + 3 + 7 + 6) × 7 = 25 × 7 = 175 
(7 + 11 + 12 + 3) = 33 × 7 = 231

(5 ×  4) + 3 = 23 
(7 × 8) + 3 = 59
(12 × 9) + 3 = 111

(17 + 31) × 5 = 240
(12 + 27) × 5 = 195
(18 + 37) × 5 = 275 

(18 – 1) × 16 = 272 
(25 – 1) × 21 = 504
(47 – 1) × 28 = 1288

(29 + 1) × 12 = 360
(37 + 1) × 14 = 532
(43 + 1) × 15 = 660

(48 – 43) × 11 = 55
(67 – 61) × 11 = 66
(78 – 70) × 11 = 88 

(5 – 2) × 1 + 0 = 3
(17 – 12) × 2 + 1 = 11
(264 – 140) × 3 + 2 = 374

(9 + 7 + 9) – (8 + 6 + 4) = 25 – 18 = 7
(4 + 6 + 5) – (7 + 1 + 2) = 15 – 10 = 5
(8 + 5 + 6) – (3 + 2 + 4) = 19 – 9 = 10 

(264 – 157) × 4 = 428
(517 – 436) × 4 = 324
(718 – 639) × 4 = 316

3 + 8 = 11 → 11² = 121
7 + 12 = 19 → 19² = 361 
9 + 13 = 22 → 22² = 484