Practice Test


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


2) Which terms of the progression -1, -3, -5 .... is -39?


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


4) 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


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


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


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


8) 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


9) 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


10) 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


11) 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


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


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


14) 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


15) 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


16) The number of odd numbers between 60 and 360 is


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


18) 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


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


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


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


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


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


24) 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


25) 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


26) The sum -5+25-125+625 ..... can be written as


27) Sum to n terms of the series 0.1 + 0.11 + 0.111 + ..... Is


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


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


30) 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


31) 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


32) If x,y,z are in G.P., then log x, log y, log z are in


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


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


35) 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


36) 5 + 55 + 555 + .... to n terms is


37) 1.2 + 3.02 + 5.002 + 7.0002 + … to terms is