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If a ,b ,c are digits, then the rational...

If `a ,b ,c` are digits, then the rational number represented by `0 .c a b a b a b` ...... is a. `(c a b)/990` b. `(99 c+b a)/990` c. `(99 c+10 a+b)/99` d. `(99 c+10 a+b)/990`

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. The sum of an infinite geometric series is 162 and the sum of its firs...

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  3. If a ,b ,c are digits, then the rational number represented by 0 .c a ...

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  4. If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3...

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  5. Consider the ten numbers a r ,a r^2, a r^3, ..... ,a r^(10)dot If the...

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  6. The sum of 20 terms of a series of which every even term is 2 times ...

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  7. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

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  8. If the pth, qth, and rth terms of an A.P. are in G.P., then the common...

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  9. In a G.P. the first, third, and fifth terms may be considered as the ...

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  10. If a,b,c,d be in G.P. show that (b-c)^2+(c-a)^2+(d-b)^2=(a-d)^2.

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  11. If the pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,...

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  12. A B C is a right-angled triangle in which /B=90^0 and B C=adot If n po...

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  13. If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6,p!=1 , then the value ...

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  14. ABCD is a square of length a, a in N, a > 1. Let L1, L2 , L3... be poi...

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  15. Let Tr a n dSr be the rth term and sum up to rth term of a series, res...

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  16. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

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  17. If a x^3+b x^2+c x+d is divisible by a x^2+c ,t h e na ,b ,c ,d are in...

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  18. If the lines 3x + by + 5 = 0 and ax – 5y + 7 = 0 are perpendicular to ...

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  19. In a geometric series, the first term is a and common ratio is rdot If...

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  20. If x ,y ,a n dz are distinct prime numbers, then (a).x , y , a n dz ma...

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