NUMBER SERIES What should come in place of the question marks (?) in the following number series ? Q.1. 354 , 180 , 64 , 21 , 10.2 , (?) A. 5.6 B. 8.7 C. 3.8 D.1.7 E. none of these Q.2. 4.5 , 18 , 2.25, (?) , 1.6875, A. 27 B. 25.5 C. 36 D.40 33.75 E. none of these Q.3. 59.76, 58.66, 56.46, 52.06, (?), 25.66 A.48.08 B.46.53 C. 43.46 D.43.26 E. none of these Q.4. 12, 15, 21, 24, 30, 33, 39, (?) A.47 B.56 C. 49 D.45 E. none of these Q.5. 1, 4, 18, 84, 440, (?) A. 2760 B. 2640 C. 2840 D.2670 E. none of these Q.6. 58, 82, 102, 128, 166, (?) A. 198 B. 204 Q.7. 8.94, 8.37, A. 5.56 C. 208 7.75, B. 5.48 E. 220 7.07, 6.32, (?) C. 5.29 Q.8. 48123, 51876, 31490, A. 42326 D.216 B. 83149 D.5.12 E. none of these 68509, 57673, C. 23021 D.64357 (?) E. none of these Q.9. 1, 1, 8, 34, 97, (?) A.112 B. 162 C. 205 D.181 E. none of these Q.10. 1605, 1508, 1419, 1336, 1257, (?) A.1180 B. 1184 C. 1190 D.1188 E. none of these SOLUTION (1).b :(2). A 4.5 × 4 = 18 = 2.25 2.25 × 12 = 27 = 1.6875 1.6875 × 20 = 33.75 + 3 = 180 + 4 = 64 + 5 = 21 + 6 = 10.2 + 7 = 8.7 (3).d (4).c 12 + ( 1+2) =15 15 + ( 1+5) =21 21 + ( 1+2) =24 24 + ( 2+4) =30 30 + ( 3+0) =33 33 + ( 3+3) =39 39 + ( 3+9) =51 + 3 = 180 + 4 = 64 + 5 = 21 + 6 = 10.2 + 7 = 8.7 (5).d (1 + 1) × 2 = 4 (4 + 2) × 3 = 18 (18 +3) × 4 = 84 (84 + 4) × 5 = 440 So the next term will be (440 + 5) × 6 = 2670 (6).a 19 × 2 + 1 = 58 20 × 4 + 2 = 82 21 × 5 ÷ 3 = 102 22 × 6 - 4 = 128 23 × 7 + 5 = 166 24 × 8 + 6 = 198 (7).b √ = 8.94 √ = 8.37 √ = 7.75 √ = 7.07 √ = 6.32 Hence the next term would be √ 5.48 (8).a 99999 – 48123 = 51876 99999 – 31490 = 68509 99999 – 57673 = 42326 (9).e 1 + ( =1 1+( =8 8+( = 34 34 + ( = 97 So, the next term is 97 + ( = 221 = (10).b The difference between the terms are 97, 89, 83, 79, 73, i.e. Consecutive decreasing prime numbers. Hence the next term is 1257 -73 = 1184
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