Ques 1.
5 , 15 , 30 , 135, 405, 1215, 3645
Ques 2.
2, 3, 6, 10, 18, 27, 54
Ques 3.
3 , 4 , 8 , 17 , 33 , 49 , 94
Ques 4.
36 , 49 , 100 , 144 , 196 , 256 , 324
Ques 5.
508 , 250 , 124 , 60 , 28 , 12 , 4
Ques 6.
2 , 3 , 5 , 8 , 15 , 21 , 34 , 55
Ques 7.
2 , 5 , 10 , 18 , 26 , 37 , 50
Ques 8.
1 , 4 , 7 , 11 , 16 , 22 , 29
Ques 9.
4 , 6 , 9, 18 , 34 , 59 , 95
Ques 10.
54 , 43 , 34 , 26 , 22 , 19 , 18
solutions :
Ans 1. Each term of the series is obtained by multiplying the previous term by 3 .
⟹ Therefore the particular order is 5, ( 5 x 3 = 15) , ( 15 x 3 = 45) , ( 45 x 3 = 135 ) , ( 135 x 3 = 405 ) , ( 405 x 3 = 1215 )., ( 1215 x 3 = 3645) , .. and so on .
⟹ Hence , alternative (e) consists of the wrong term.
⟹ Therefore the particular order is 5, ( 5 x 3 = 15) , ( 15 x 3 = 45) , ( 45 x 3 = 135 ) , ( 135 x 3 = 405 ) , ( 405 x 3 = 1215 )., ( 1215 x 3 = 3645) , .. and so on .
⟹ Hence , alternative (e) consists of the wrong term.
Ans 2. In the given sequence second term is 1.5 the first , the third term is 2 times the second and so on, Therefore , alternative (a) consists of the wrong term.
Ans 3. In the given sequence difference between successive terms is in the order 12 , 22 , 32 .... . Therefore 58 should replace 49 to from the series .
⟹ Hence alternative (e) consists of the wrong term.
⟹ Hence alternative (e) consists of the wrong term.
Ans 4. Terms of the series would be 62 , 82 , 102, 122, ...... 182 if 49 is replaced 64 .
⟹ Therefore , alternative (c) consists of the wrong term.
⟹ Therefore , alternative (c) consists of the wrong term.
Ans 5. If 250 is replaced by 252, then difference successive terms of the series will be in the order of 256 , 128, 64, 32 , 16 , 8 respectively which from a particular order .
⟹ Therefore , alternative (e) consists of the wrong term.
⟹ Therefore , alternative (e) consists of the wrong term.
Ans 6. If 15 is replaced by 13 then a particular order of terms in the series will be formed in which sum of two successive terms is equal to the next term.
⟹ Therefore , alternative (e) consists of the wrong term.
⟹ Therefore , alternative (e) consists of the wrong term.
Ans 7. If 18 is replaced by 17 then terms of the series will be arranged in the order of 12+ 1 , 22+ 1, 32 + 1 ....72+ 1 .
Ans 8. If first term of the series is replaced by 2 then difference between successive terms of the series will be in the order of 2 , 3 ,4 ,5 ,6 ,7.
⟹ Therefore , alternative(b) consists of the wrong term.
⟹ Therefore , alternative (e) consists of the wrong term.
Ans 9. If 6 is replaced by 5 then difference between successive terms will be in the order of 1, 4, 9, 16 ,25, 36 .
⟹ Therefore , alternative (b) contain the wrong term.
Ans 10. If 26 is replaced by 27 , then difference between successive terms of the series will be on the order of 11, 9, 7, 5, 3 ,1 .
⟹ Therefore , alternative (a) consists the wrong term of the series.
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