If a, b, c are in G.P., then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root if d/a, e/b, f/c are in
  • AP
  • GP
  • HP
  • none of these
If a, b, c are in AP then
  • b = a + c
  • 2b = a + c
  • b² = a + c
  • 2b² = a + c
Three numbers form an increasing GP. If the middle term is doubled, then the new numbers are in Ap. The common ratio of GP is
  • 2 + √3
  • 2 – √3
  • 2 ± √3
  • None of these
The sum of n terms of the series (1/1.2) + (1/2.3) + (1/3.4) + …… is
  • n/(n+1)
  • 1/(n+1)
  • 1/n
  • None of these
If 1/(b + c), 1/(c + a), 1/(a + b) are in AP then
  • a, b, c are in AP
  • a², b², c² are in AP
  • 1/1, 1/b, 1/c are in AP
  • None of these
The sum of series 1/2! + 1/4! + 1/6! + ….. is
  • e² - 1 / 2
  • (e - 1)² /2 e
  • e² - 1 / 2 e
  • e² - 2 / e
The third term of a geometric progression isThe product of the first five terms is
  • 43
  • 45
  • 44
  • none of these
The sum of two numbers is 13/6 An even number of arithmetic means are being inserted between them and their sum exceeds their number byThen the number of means inserted is
  • 2
  • 4
  • 6
  • 8
If the sum of the roots of the quadratic equation ax² + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a, c/b are in
  • A.P.
  • G.P.
  • H.P.
  • A.G.P.
The 35th partial sum of the arithmetic sequence with terms an = n/2 + 1
  • 240
  • 280
  • 330
  • 350
The first term of a GP isThe sum of the third term and fifth term isThe common ratio of GP is
  • 1
  • 2
  • 3
  • 4
If 2/3, k, 5/8 are in AP then the value of k is
  • 31/24
  • 31/48
  • 24/31
  • 48/31
The sum of n terms of the series (1/1.2) + (1/2.3) + (1/3.4) + ...... is
  • n/(n+1)
  • 1/(n+1)
  • 1/n
  • None of these
If the third term of an A.P. is 7 and its 7 th term is 2 more than three times of its third term, then the sum of its first 20 terms is
  • 228
  • 74
  • 740
  • 1090
If the sum of the first 2n terms of the A.P. 2, 5, 8, ....., is equal to the sum of the first n terms of the A.P. 57, 59, 61, ....., then n equals
  • 10
  • 12
  • 11
  • 13
If a is the A.M. of b and c and G1 and G2 are two GM between them then the sum of their cubes is
  • abc
  • 2abc
  • 3abc
  • 4abc
0 h : 0 m : 1 s

Answered Not Answered Not Visited Correct : 0 Incorrect : 0