Q141.If (a–b)2,(b–c)2,(c–a)2 are in A.P. then 1 1 1,, a b b c c a − − − − − − − − − − − − will be:
Correct answer: Arithmetic progression
Q142.The third term of Geometric Progression is 4. The product of first five terms is
Correct answer: 45
Q143.If three numbers are in H.P. and if sum of their reciprocals is 15 and product of their reciprocals is 80, then the numbers are
Correct answer: 1 1 1,, 2 5 8
Q144.If the sum of four consecutive terms of an A.P. is 28 and the sum of their squares is 216, then the difference of two terms will be
Correct answer: 2
Q145.If a, b, c are in harmonic progression, then 2a–b, b, 2c –b are in
Correct answer: Geometric progression
Q146.If 5th term of an H.P. is 7 and 7th term is 5, then its 12th term is-
Correct answer: 35/12
Q147.If a, b, c are in G.P. and x, y are arithmetic means of a, b and b, c respectively then a c x y + is equal to
Correct answer: 2
Q148.If (12 – t1) + (22 – t2) +.…+ (n2 – tn)= 1 3 n(n2 –1), then tn is equal to
Correct answer: n
Q149.The harmonic mean of the roots of the equation 2 (5 2) (4 5) 8 2 5 0 x x + − + + + = + − + + + = + − + + + = + − + + + = is
Correct answer: 4
Q150.What is the sum of the series upto n terms 1+4+8+13+19+26+….n terms?
Correct answer: () 2 6 1 6 + − n n n
Q151.What is the sum of the series upto n terms 4+44+444+… n terms?
Correct answer: () 40 4 10 1 81 9 n − −
Q152.For a real number x, [x] denotes the integral part of x, The value of: 1 1 1 1 2 1 99..... 2 2 100 2 100 2 100 + + + + + + + + + + + + + + + + + + + + + + + + is
Correct answer: 50
Q153.If 1 1 2 loga logc logb + = + = then a, b, c are in:
Correct answer: H.P.
Q154.If log a, log b, log c are in A.P., then a, b, c are in:
Correct answer: G.P.
Q155.If a, b, c, d, e, f are arithmetic mean between 2 and 12. Then a+b+c+d+e+f is equal to:
Correct answer: 42
Q156.The sum of 25 terms of the progression 9 15 3 6...... 2 2 + + + + + + + + + + + + + + + + is:
Correct answer: 525
Q157.The sum of n term of A.P. is:
Correct answer: () n S 2a n 1 d 2 = + −
Q158.Any A.P. of 50th terms the last terms is 101 and common difference is 2 the First term is:
Correct answer: 3
EnglishRajasthan TGT 2016
Q159.If a, b, c are the pth, qth and rth terms respectively of an arithmetic progression and also the pth, qth and rth terms of a geometric progression, then ab–c bc–a ca–b is equal to
Correct answer: 1
EnglishRajasthan TGT 2016
Q160.If a b m x y + = + = and b a n x y + = + =, then y x is equal to
Correct answer: −ma nb/na mb