Welcome to your Number Patterns and Sequences(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. If the product of the first four consecutive terms of a G.P is 256 and if thye common ratio is 4 and the first term is positive , then its 3 rd term is 1/16 8 16 1/32 None 2. A head boy, two deputy head boys, a head girl and 3 deputy head girls must be chosen out of a student council consisting of 14 girls and 16 boys. In how many ways can they are chosen? 27384 36428 98072 44389 None 3. For her English literature course, Ruchika has to choose one novel to study from a list of ten, one poem from a list of fifteen and one short story from a list of seven. How many different choices does Rachel have? 34900 26500 12000 10500 None 4. If the nth term of an AP is tn = 3 - 5n then the sum of the first n term is n/2 (1+n) n/2 (1+5n) n(1-5n) n/2 (1-5n) None 5. If a , b , c are in G.P then is equal to A/c B/a C/b A/b None 6. The next term of 1/20 in the sequence 1/2, 1/6, 1/12, 1/20, ..... is 1/24 1/30 1/22 1/18 None 7. In a G.P t2 = 3/5 and t3 = 1/5 then the common ratio is 5 1/5 1/3 1 None 8. If the n th term of a sequence is 100n+10 then the sequence is A GP an AP Neither AP nor GP A constant sequence None 9. Let the sequence be 2, 8, 32, 128,……… then this sequence is ______________ A geometic progression A harmonic sequence None of the mentioned An arithmetic sequence None 10. If x , 2x+2 , 3x+3 , are in G.P then 5x , 10x+10 , 15x+15 form An AP Neither A.P nor G.P A constant sequence a G.P None 11. The sequence -3 , -3 , -3 , ....... is An A.P only Both A.P and G.P A G.P only Neither A.P nor G.P None 12. In a multiple-choice question paper of 15 questions, the answers can be A, B, C or D. The number of different ways of answering the question paper are ________ 11287435 23650 x 4^9 194536 x 4^5 65536 x 4^7 None 13. How many even 4 digit whole numbers are there? 1358 3600 4500 7250 None 14. Let the sequence be 1, 3, 5, 7, 9……… then this sequence is ____________ A harmonic sequence None of the mentioned An arithmetic sequence A geometric progression None 15. The next term in the sequence 1, 4, 10, 19, 31, is? 43 50 46 34 32 None 16. 2, 4, 8, 16, 32...? 66 64 43 78 None 17. If a_{1}, a_{2}, a_{3}, ..... is an AP then the sequence a_{5}, a_{10}, a_{15}, .....is a_{5}, a_{10}, a_{15}, ..... is An AP A constant sequence Neither AP nor GP A GP None 18. If the third term of a G.P is 2 , then the product of first 5 terms is 10 5^2 2^5 15 None 19. A fence will be built to enclose a 100m X 70m field. It will need a post at each corner and one every 5 m. How many posts are needed? 20. If a, b, c are in AP then relation between a, b, c can be _____ 2b = 2a + 3c 2c = a + c 2b = a + c 2a = b + c None 1 out of 20 Time's upTime is Up!