Q41.Arithmetic mean is 15 and all sum of observations is 315 then number of observations are:
Correct answer: 21
Q42.If the sum of n terms of an A.P. is 48, the first term is 20 and the common difference is –4, then the number of terms is:
Correct answer: 3, 8
Q43.If the sum of p terms of an A.P. is equal to the sum of q terms (p ≠ q), then the sum of (p + q) terms is:
Correct answer: 0
Q44.Write the nth term of the A.P. 1 1 m 1 2m,,,... m m m
Correct answer: m(n 1) 1/m
Q45.Find the fifth term of the given sequence. 15, 25, 35,....
Correct answer: 55
Q46.What is the sum of the terms of the given series? 20, 25, 30,........., 150
Correct answer: 2295
Q47.How many terms are there in the following GP? 5, 20, 80, 320,....., 20480
Correct answer: 7
Q48.Sum of the natural numbers up to 'n', 1+2+3+.........+ n = _____.
Correct answer: n (n+1)/2
Q49.If an = cn an–1 and a2 = 1, where c is constant. The value of a0 is:
Correct answer: 1 2 1 c c
Q50.In the arithmetic progression 16, 32, 40, 52, 64 which number is written wrong?
Correct answer: 32
Q51.Which of the following is the relation between arithmetic mean, geometric mean and harmonic mean?
Correct answer: GM2 = AM×HM
Q52.In an arithmetic progression the first term is 34 and the last term is 124. If there are 31 numbers in the progression then the common difference is:
Correct answer: 3
Q53.If each term of an arithmetic progression is multiplied or divided by the same non-zero constant, the resulting sequence will be in
Correct answer: Arithmetic progression
Q54.The sum of n terms of an arithmetic progression is 364 and the sum of (n –1) terms is 340 then the nth term of the progression is:
Correct answer: 24
Q55.The two geometric means between 1 and 64 are
Correct answer: 4 and 16
Q56.The A.M., G.M. and H.M. between two positive numbers a and b are equal, then–
Correct answer: a = b
Q57.If x, 2x+2, 3x+3, are in GP, then the fourth term is–
Correct answer: 27/2
Q58.If x, y, z, are in AP, then the value of (x + y – z) (y + z – x) is–
Correct answer: 8yz –3y2/– 4z2
Q59.If the progressions 3, 10, 17,... and 63, 65, 67,... are such that there nth terms are equal then n is equal to–
Correct answer: 13
Q60.The geometric mean of the numbers 3, 9, 27, 81, 243 is–
Correct answer: 27