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

Q38) Consider the set S = {1, 2, 3, ..., 1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and end with 1000 and have at least 3 elements? Show Answer

Q39) Fourth term of an arithmetic progression is 8. What is the sum of the first 7 terms of the arithmetic progression? Show Answer

Q40) The last term of the series 5,7,9, …… to 21 term is Show Answer

Q41) The last term of the A.P 0.6,1.2,1.8 to 13 term is Show Answer

Q42) Determine the first term of an A.P. with common difference 3 & 7th term being 11 Show Answer

Q43) Find three numbers in AP whose sum is 6 and the product is -24 Show Answer

Q44) If the 10th term of an A.P. is twice the 4th term, and the 23rd term is 'k' times the 8th term, then the value of 'k' is Show Answer

Q45) The sum of__________ between the actual values and the A.M is zero. Show Answer

Q46) The A. M between 2 & 4 is— Show Answer

Q47) The arithmetic mean between 8 & 20 is- Show Answer

Q48) The two arithmetic means between -6 and 14 is Show Answer

Q49) The 4 arithmetic means between -2 and 23 are Show Answer

Q50) The Arithmetic mean between 5 and 13 is Show Answer

Q51) The arithmetic mean between 33 and 77 is Show Answer

Q52) The arithmetic mean between a & c is- Show Answer

Q53) If the AM of two numbers is 6 and GM is 6 then find the numbers. Show Answer

Q54) Three No's a,b,c are in A.P find a-b+ c Show Answer

Q55) In an A.P. if the 3rd term is 18, 7 term is 30 then the sum of first 20 terms is: Show Answer

Q56) The sum of progression (a+b), a, (a-b) .........n term is Show Answer

Q57) The sum of the series 1+2+4+8+ .... to 10 term is Show Answer

Q58) The sum of series 8, 4, 0 …….. to 50 terms is Show Answer

Q59) The sum of all numbers between 200 and 300 Show Answer

Q60) The sum 1+2+3+4………. +70 is equal to Show Answer

Q61) The sum of series 8, 4, 0 …… to 50 terms is Show Answer

Q62) The sum of an A.P. whose first term is - 4 and the last term is 146 is 7171. Find the Value of n.99 Show Answer

Q63) In an A.P. if Sn = 3n2 - n and its common difference is '6', then the First term is Show Answer

Q64) The sum of the series 1 + 2 + 3 + 4 +………. + 100 is Show Answer

Q65) The maximum sum of the A.P. series 40,36,32 .... is Show Answer

Q66) The 8 th term of the progression 8, 5, 2, -1, -4, ... is - Show Answer

Q67) The 10th term from the end of the A.P.
4,9,14,…… 254.
Show Answer

Q68) The sum of a series in AP is 72 the first term being 17 and the common difference -2. the number of terms is_____ Show Answer

Q69) The number of terms of series needed for the sum of the series 50 + 45 + 40 +……. becomes zero Show Answer

Q70) The number of terms in the series 1 + 3 +5 +7 + .... + 61 is- Show Answer

Q71) The sum of certain numbers of terms of an AP series -6, -3, 0…… is 225. The number of terms is Show Answer

Q72) How many terms are there in the A.P. whose first and fifth terms and -14 and 2 respectively and the sum of the term is 40 ? Show Answer

Q73) The number of terms in the A.P. 7, 13, 19,…….. 97 is Show Answer

Q74) The sum of all natural numbers from 100 to 300 which are divisible by 4 is Show Answer

Q75) The sum of all natural numbers from 100 to 300 which are divisible by 5 is Show Answer

Q76) The sum of all natural numbers from 100 to 300 which are divisible by 4 and 5 is Show Answer

Q77) The sum of the first 100 terms common to the series 17, 21, 25 .... And 16, 21, 26,... is Show Answer

Q78) If the pth term of an AP is q and the qth term is p the value of the rth terms is Show Answer

Q79) The sum of p terms of an AP is q and the sum of q terms is p. The sum of p+q terms is Show Answer

Q80) If m, p, q are consecutive terms in an A.P. then p is - Show Answer

Q81) The five numbers in AP with their sum 25 and the sum of their squares 135 are Show Answer

Q82) Three numbers are in A.P. whose sum is 69 and the product of first two is 483. Numbers are Show Answer

Q83) Three numbers are in A.P. of whose sum is 15 and whose product is 105, then numbers are: Show Answer

Q84) The three number in AP whose sum is 27 and the sum of their squares is 341 are Show Answer

Q85) The four numbers in AP whose sum is 24 and their product is 945 are Show Answer

Q86) The four numbers in AP whose sum is 20 and the sum of their squares is 120 are Show Answer

Q87) The four numbers in AP with the sum of second and third being 22 and the product of the first and fourth being 85 are Show Answer

Q88) Divide 69 into three parts which are in A.P and are such that the product of the 1st two parts is 483. Show Answer

Q89) Sum of three numbers in A.P. is 12 and the sum of their cube is 408. The numbers are Show Answer

Q90) The five numbers in AP with the sum 20 and product of the first and last 15 are Show Answer

Q91) Find the four numbers in A.P. with the sum of second and third being 22 and the product of the first and fourth being 85. Show Answer

Q92) Divide 12.50 in five parts in AP such that the fist part and the last part are in the ratio 2:3 Show Answer

Q93) If sum of first 50 natural numbers is 1275 and the sum of first 50 odd numbers is 2500, then the sum of the first 50 even numbers is Show Answer

Q94) The number of numbers between 74 and 25556 divisible by 5 is Show Answer

Q95) The sum of all natural numbers between 500 and 1000 which are divisible by 13 Show Answer

Q96) The sum of three integers in AP is 15 and their product is 80. the integers are Show Answer

Q97) The sum of all natural numbers from 100 to 300 which are exactly divisible by 4 or 5 is Show Answer

Q98) The first term of an AP is 14 and the sum of the first five terms and the first ten terms are equal is magnitude but opposite in sign. The 3rd term of the AP is Show Answer

Q99) Find the number which should be added to the sum of any number of terms of the AP so that the resultant is also an AP Show Answer

Q100) If unit is added to the sum of any number of terms of the AP 3,5,7,9,... the resulting sum is Show Answer

Q101) In an Ashoka Chakra, the central angle made by the smallest sector, two small sectors, three small sectors and so on are.... Show Answer

Q102) A person employed in a company at Rs. 3000 per month and he would get an increase of Rs. 100 per year. Find the total amount which he receives in 25 years and the monthly salary in the last year. Show Answer

Q103) A person received the salary for the 1st Year is Rs. 5,00,000 per year and he received an increment of Rs. 15,000 per year then the sum of the salary he taken in 10 years Show Answer

Q104) A person saves Rs. 16,500 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 1st year was Show Answer

Q105) Find the umbers whose GM is 5 and AM is 7.5: Show Answer

Q106) Water flows into a tank. The volume of water in the tank at each minute form an A.P. If the initial volume was 5 litres and becomes 6 times after 6 minutes. The speed of water increase is Show Answer

Q107) In 5, 15, 45, 135,... the common ratio is Show Answer

Q108) The sum of first eight terms of GP is five times the sum of the first four terms. The common ratio is Show Answer

Q109) The number of terms in 6,18,54,……. 1458 is Show Answer

Q110) The third term of a geometric progression is 4. Then the product of the first six terms is Show Answer

Q111) Which term of the progression 1,2,4, 8……… is 64 Show Answer

Q112) Which term of the progression is 1, 2, 4, 8,... is 256? Show Answer

Q113) The 4th term of the series 0.04,0.2,1,... is Show Answer

Q114) The sixth term of a G.P with common ratio as 2 and first term being 5 is Show Answer

Q115) The 7th term of the series 6, 12, 24, .... is Show Answer

Q116) In a GP, the 6th term is 729 and the common ratio is 3, then the 1st term is Show Answer

Q117) The last term of the series 1,2,4…… to 10 terms is Show Answer

Q118) The last term of the series 1-3,9,-27,upto 7 terms is Show Answer

Q119) The nth element of the sequence -1, 2 -4, 8.... is Show Answer

Q120) The second terms of a GP is 24 and fifth term is 81. The series is Show Answer

Q121) The sum of the series 1-1+1-1+1-1+ ……… to 100 terms is equal to Show Answer

Q122) The sum of the series 1-1+1-1+1-1+…….. to 101 terms is equal to Show Answer

Q123) The sum of 3 numbers of a GP is 39 and their product is 729. The numbers are Show Answer

Q124) The product of 3 numbers in GP is 729 and the sum of squares is 819. the numbers are Show Answer

Q125) If the sum of three numbers in GP is 35 and their product is 1000 the numbers are Show Answer

Q126) If the sum of n terms of a GP with first term 1 and common ratio 1/2 is 1+ 127/128 the value of n is Show Answer

Q127) The numbers in GP with their sum 130 and their product 27000 are Show Answer

Q128) Find five numbers in GP such that their product is 32 and the product of the last two is 108. Show Answer

Q129) If the continued product of three numbers in GP is 27 and the sum of their products in pairs is 39 the numbers are Show Answer

Q130) The numbers x, 8 y are in GP and the numbers x, y -8 are in AP. The values of x y are Show Answer

Q131) Find the three numbers in G.P whose sum is 52 and the sum of their product in pairs is 624. Show Answer

Q132) The numbers a, X, c are in A.P. if X = 25 and a, Y, c are in G.P. if Y=7, then the value of (a, c) are Show Answer

Q133) If an observation in the data set in zero, then its geometric mean is: Show Answer

Q134) The G.M between 2 and 8 is- Show Answer

Q135) The geometric mean between 6 and 96 is- Show Answer

Q136) Four geometric means between 4 and 972 are Show Answer

Q137) A.M is never _____ than G.M Show Answer

Q138) If A be the A.M of two positive unequal quantities x and y and G be their G.M, then Show Answer

Q139) The A.M and G.M of two positive numbers is 10. The numbers are- Show Answer

Q140) If the A.M. and G.M. of two observations are 5 and 4 respectively, then the two observations are Show Answer

Q141) The A.M. of two positive numbers is 40 and their G.M is 24. The numbers are Show Answer

Q142) If n, p, q are in G.P, then the expression for p in terms of n and q is ….. Show Answer

Q143) If x, y, z are in GP., then Show Answer

Q144) If a, b, c d are in AP then Show Answer

Q145) If a, b, c, d, e are in AP then Show Answer

Q146) If a, b, c, d are in GP a + b,b + c,c + d are in Show Answer

Q147) Three numbers are in AP and their sum is 15. If 8, 6, 4 be added to them respectively, the numbers are in GP. The numbers are Show Answer

Q148) The sum of 3 numbers in AP is 15. If 1,4 and 19 be added to them respectively, the results are is GP. The numbers are Show Answer

Q149) The sum of four numbers in GP is 60 and the AM of the 1st and the last is 18. The numbers are Show Answer

Q150) The sum of three numbers in GP is 70. If the two extremes be multiplied each by 4 and the mean by 5, the products are in AP. The numbers are Show Answer

Q151) A person borrows Rs. 8000 at 2.76% simple interest per annum. The principal and the interest are to be paid in 10 monthly installments. If each installment is double the preceding one, find the value of the first and the last installment. Show Answer

Q152) A sum of Rs. 6240 is paid off in 30 installments such that each instalment is Rs. 10 more than the preceding instalment. The value of the 1st instalment is Show Answer

Q153) At 10% C.I. p.a a sum of money accumulate to Rs. 8650 in 5 years. The sum invested initially is Show Answer

Q154) The population of a country was 55 crores in 2005 and is growing at 2% p.a. C.I. the population in the year 2015 is estimated as Show Answer

Q155) If you save 1 paise today, 2 paise the next day 4 paise the succeeding day and so or, then your total savings in two weeks will be Show Answer

Q156) In the series 2 + 8 + 32 +……… common ratio is Show Answer

Q157) The sum of the series 1+2+4+8+… to n term Show Answer

Q158) The sum of 1 + 2 + 4 + 8 +…….. to 8 terms is Show Answer

Q159) The sum of the series -2,6-18,.... to 7 terms is Show Answer

Q160) Sum of the series 1+3+9+27……. is 364. The number of terms is Show Answer

Q161) How many terms of the GP 1 4 16 .... Are to be taken to have their sum 341? Show Answer

Q162) The sum of all natural numbers from 100 to 300 which are exactly divisible by 4 and 5 is Show Answer

Q163) If the sum of n terms of a GP with last term 128 and common ratio 2 is 255 the value of n is Show Answer

Q164) If the geometrical progressions 5, 10, 20, ... and 1280, 640, 320 ... have their pth terms equal, then the value of 'p' is Show Answer

Q165) The sum of the infinite GP 0.171-0.114+0.076 is Show Answer

Q166) The sum of an infinite GP is 15 and the sum of their squares is 45. The series is Show Answer

Q167) If the first term of a GP exceeds the second term by 2 and the sum to infinity is 50 the series is _____ Show Answer

Q168) The sum of first n natural number is Show Answer

Q169) The sum of square of first n natural number is Show Answer

Q170) The sum of cubes of first n natural number is Show Answer

Q171) The sum of n terms of the series 1+3+5+... is Show Answer

Q172) 1+3-5+7+9-11+13…….. 3n terms Show Answer

Q173) The sum of n terms of the series 2.4.6+4.6.8+6.8.10+.... is Show Answer

Q174) The sum of m terms of the series is 1+11+111+……… is equal to Show Answer

Q175) The number 2.353535 ______ in p/q from is : Show Answer

Q176) 2, 5, 8, 11, 14, 17... is an A.P in which the common difference is? Show Answer

Q177) Determine the common difference of progression 16, 13, 10... 25 terms Show Answer

Q178) Two A.Ps have the same common difference. If the difference between their 100th terms is 111222333 then the difference between their millionth terms is Show Answer

Q179) If a, b, c are in A.P., then 2b = ____ Show Answer

Q180) The 20th term of the progression 1, 4, 7, 10 ……… is Show Answer

Q181) For the A.P 2, 5, 8, 11, 14, ...., 12th term is- Show Answer

Q182) The 13th term of series 93, 90, 87 .... is Show Answer

Q183) The nth element of the sequence 1,3,5,7,.... is Show Answer

Q184) The nth term of the sequence 2, 4, 6, 8 ………. is Show Answer

Q185) If the first term of an A.P. is 5 and its 100th term is -292, then its 51st term is - Show Answer

Q186) If the 5th and 12th terms of the A.P are 14 and 35 respectively, find the A.P. Show Answer

Q187) Which term of the A. P 11, 8, 5,2 ,... is -10? Show Answer

Q188) Which term of the progression -1, -3, -5,.... is -39? Show Answer

Q189) The sum of all natural number between 100 and 1000 which are multiple of 5 is: Show Answer

Q190) Divide 30 into five parts in A.P., such that the first and last parts are in the ratio 2:3: Show Answer

Q191) Find the sum to n terms of the series: 7 + 77 + 777 + ...... to n terms: Show Answer

Q192) Find the sum of all natural numbers between 250 and 1,000 which are exactly divisible by 3: Show Answer

Q193) If a pth term of a G.P. is x and qth term is y, then find the nth term: Show Answer

Q194) Find the number of series: 2 + 7 + 12 + ............ 297. Show Answer

Q195) A certain ball when dropped to the ground rebounds to 4/5th of the height from which it falls; it is dropped from a height of 100 meters find the total distance it travels before finally coming to rest: Show Answer

Q196) The sum of the series: 0.5 + 0.55 + 0.555 + ..........to n terms is: Show Answer

Q197) A contractor who fails top complete a building in a certain specified time is compelled to forfeit Rs. 200 for the first day of extra time required and there after forfeited amount is increased by Rs. 25 for every day. if he loses Rs. 9,450, for how many days did he over run the contract time? Show Answer

Q198) The first, second and seventh term of A.P. are in G.P. and the common difference is 2, the 2nd term of A.P. is: Show Answer

Q199) A men employed in a company is promised a salary of Rs. 3,000 every month for the first years and an increment of Rs. 1,000 in his monthly salary succeeding year. How much does the man earn from the company in 20 years? Show Answer

Q200) Insert 4 A.M.'s between 3 and 18: Show Answer

Q201) On 1st January every year a person buys national saving Certificates of value exceeding that of his last year's purchase by Rs. 100. After 10 years, he finds that the total value of the certificates purchased by him is Rs. 54,500. Find the value of certificates purchased by him in the first years: Show Answer

Q202) Find three numbers in G.P. such that their sum is 21, and the sum of their square is 189: Show Answer

Q203) The sum of how many terms of the sequence 256, 128, 64 . . . . . is 511. Show Answer

Q204) Find two number whose A.M. is 10 and GM. is 8. Show Answer

Q205) The sum of terms of an infinite GP is 15. And the sum of the sequence of the term is 45. Find the common ratio. Show Answer

Q206) Divide 144 into three parts which are in AP and such that the largest is twice the smallest, the smallest of three numbers will be Show Answer

Q207) Insert two Arithmetic mean between 68 and 260: Show Answer

Q208) Find the number whose arithmetic mean is 12.5 and geometric mean is 10. Show Answer

Q209) If sum of 3 arithmetic means between "a" and 22 is 42, then "a" = . . . . . . Show Answer

Q210) If each month Rs. 100 increases in any sum then find out the total sum after 10 months, if the sum of first month is Rs. 2,000. Show Answer

Q211) The sum of all two digit odd numbers is Show Answer

Q212) The sum of third and ninth term of an A.P. is 8. Find the sum of the first 11 term of the progression. Show Answer

Q213) If 8th of an A.P. is 15, then sum of its 15 term is Show Answer

Q214) The 4th term of an A.P. is three times the first and the 7th exceeds twice the third term by 1. Find the first term 'a' and common difference 'd'. Show Answer

Q215) In an A.P. , if common difference is 2, Sum of n terms is 49, 7th term is 13 then n = . . . . . . . Show Answer

Q216) The first term of a G.P. where second term is 2 and sum of infinite term is 8 will be: Show Answer

Q217) If the sum of the 4th term and the 12th term of an A.P. is 8, what is the sum of the first 15 terms of thee progression? Show Answer

Q218) If 'n' arithmetic means are inserted between 7 & 71 and 5th arithmetic mean is 27, then 'n' is equal to: Show Answer

Q219) An Arithmetic progression has 13 terms whose sum is 143. The third term is 5 so the first term is: Show Answer

Q220) The arithmetic mean of the square of first 2n natural number is: Show Answer

Q221) If a ,b, c are in Arithmetic progression (A.P.) then the value of a-b+c is: Show Answer

Q222) If the Sum 50 + 45 + 40 + 35 + . . . . . . . is zero, then the number of terms is: Show Answer

Q223) The sum of first 20 terms of a G.P. is 1025 times the sum of first 10 terms of same G.P. then common ratio is: Show Answer

Q224) The value C such that a, -3, b, 5, c are in A.P. is: Show Answer

Q225) The sum of all numbers between 100 and 1000 which are divisible by 11 will be: Show Answer

Q226) If the sum of five terms of AP is 75. Find the third term of the series. Show Answer

Q227) If the AM and GM of two numbers is 6.5 and 6 the no.'s are: Show Answer

Q228) If AM and HM for two numbers are 5 and 3.2, respectively. GM will be: Show Answer

Q229) If the sum and product of three numbers in G.P are 7 and 8 respectively, then 4th term of the series is Show Answer

Q230) The sum of series 7+14+21+.............to 17th term is: Show Answer

Q231) The number of terms of the series: 5+7+9+.......... must be taken so that the sum may be 480. Show Answer

Q232) The n th terms of the series 3+7+13+21+31+........ is Show Answer

Q233) In a GP the 3rd and 6th terms are respectively 1 and -1/8. The 1st term (a) and common ratio are respectively. Show Answer

Q234) Divide 69 into 3 parts which are in AP and are such that the product of first two parts is 460: Show Answer

Q235) The 20th term of AP whose 6th term is 38 and 10th term is 66 is: Show Answer

Q236) Three numbers in GP with their sum 130 and their product 27,000 are: Show Answer

Q237) The sum of first 8 terms of a G.P is five times the sum of the first 4 terms. Find the common ratio? Show Answer

Q238) The sum of three numbers in a geometric progression is 28. When 7, 2 and 1 are subtracted from the first, second and the third numbers respectively, then the resulting numbers are in arithmetic progression. What is the sum of squares of the original three numbers? Show Answer