Practice Test

Q1) The last term of the series 5, 7, 9, .... to 21 terms is Show Answer

Q2) Which terms of the progression -1, -3, -5 .... is -39? Show Answer

Q3) If the sum of a certain number of terms of A.P. -8, -6, -4, .... is 52, then the number of terms is Show Answer

Q4) The first and the last terms of an A.P. are -4 and 146. If the sum of the terms is 7171, then the number of terms is Show Answer

Q5) The number of all natural numbers between 74 and 25556 which are divisible by 5 are Show Answer

Q6) The sum of all natural numbers from 100 to 300 which are not divisible by 4 is Show Answer

Q7) If 8x+4, 6x-2, 2x+7 form an A.P. then: x is Show Answer

Q8) The number which should be added to the sum of any number of terms of the A.P. 3, 5, 7, 9, 11..... resulting in a perfect square is Show Answer

Q9) If the ratio of the sums to n terms of two A.P. are in the ratio (3n+1):(n+4) , then the ratio of their fourth terms is Show Answer

Q10) A person pays Rs.975 by monthly installments, each less than the former by Rs.5. The first installment is Rs.100. The time by which the entire amount will be paid is Show Answer

Q11) A person saved Rs.16500 in ten years. In each year after the first year he saved Rs.100 more than he did in the preceding year. The amount of money he saved in the first year was rupees Show Answer

Q12) The sum of all natural numbers from 100 to 300 which are divisible by 3 is Show Answer

Q13) The sum of all natural numbers from 100 to 300 which are not divisible by 5 is Show Answer

Q14) If a, b, c are in A.P., then the line ax+by+c=0 always passes through a fixed point whose co-ordinates are Show Answer

Q15) If the sum of the first 17 terms of an A.P. is 24 and the sum of its first 24 terms is 17, then the sum of its first 41 terms is Show Answer

Q16) The number of odd numbers between 60 and 360 is Show Answer

Q17) The sum of the first 11 terms of an A.P. whose middle term is 15 is Show Answer

Q18) If four number in A.P. are such that their sum is 20 and the sum of their squares is 120, then the numbers are Show Answer

Q19) If x, y, z are in A.P., then : (x+ 2y- z) (2y + z- x) (z+ x- y) is Show Answer

Q20) If a,b,c,d,e,f are in A.P., then: e-c is Show Answer

Q21) The sum of an A.P. is 525. If its first term is 3 and last term is 39, then its common difference is Show Answer

Q22) The last term of the series 1, -3, 9, -27, .... upto 7 terms is Show Answer

Q23) Sum of the series 1+3+9+27+... is 364. The number of terms in the series is Show Answer

Q24) The sum of the first 20 terms of a G.P. is 244 times the sum of its first 10 terms. Then the common ratio of this G.P. is Show Answer

Q25) If the third term of a G.P. is the square of the first, and the fifth term is 64, then the terms of this G.P. are Show Answer

Q26) The sum -5+25-125+625 ..... can be written as Show Answer

Q27) Sum to n terms of the series 0.1 + 0.11 + 0.111 + ..... Is Show Answer

Q28) If 2+x, 3+x, 9+x are in a G.P. then : x is Show Answer

Q29) Four numbers in G.P. such that the product of their extremes is 108, and the sum of the middle two is 24, are Show Answer

Q30) Three given number whose sum is 24 are in the A.P. If the first is decreased by 1, the second is increased by 2 and the third is left unchanged, the resulting numbers are in a G.P. Then the given numbers are Show Answer

Q31) Three given number whose sum is 18 are in an A.P. If 2, 4, 11 are added to them respectively, the resulting numbers are in a G.P. Then the given numbers are Show Answer

Q32) If x,y,z are in G.P., then log x, log y, log z are in Show Answer

Q33) If the third term of a G.P. is 4, then the product of its first five terms is Show Answer

Q34) If a,b,c are unequal numbers in A.P. such that a, b-c, c-a are in G.P., then Show Answer

Q35) If the A.M. and G.M. of the roots of a quadratic equation in x are p and q respectively, then the equation is Show Answer

Q36) 5 + 55 + 555 + .... to n terms is Show Answer

Q37) 1.2 + 3.02 + 5.002 + 7.0002 + … to terms is Show Answer