Practice Test

Q1) Find the next term of the following series 2, 5, 10, 17, 26,... Show Answer

Q2) Find the value of x in the sequence 4, 5, 7, 10, 14, x Show Answer

Q3) The first two terms of an A.P. are 3 and 5 respectively. Find the 5th term of the same sequence. Show Answer

Q4) Ten children are standing in a line. Ramesh wants to distribute some chocolates amongst these 10 children such that the first child in line gets 4 chocolates and every subsequent child gets 3 chocolates more than the previous child. What is the total number of chocolates that Ramesh distributes? Show Answer

Q5) Divide the number 124 into 4 parts which are in A.P., such that product of first and fourth term is 128 less than the product of the second and the third term. Find the smallest number amongst these four numbers. Show Answer

Q6) The sum of the third and seventh term of an A.P. is 8. Find the sum of the first nine terms of this progression? Show Answer

Q7) The first term of a G.P. is 5 and the common ratio is 2. Find the sixth term of this progression. Show Answer

Q8) If 10, b and 40 are in G.P., then find the value of b. Show Answer

Q9) The ratio of the sum of the first eight terms of a G.P. to the sum of the first four terms of the same G.P. is 97:81, where the common ratio of the G.P. is a real number. The common ratio is: Show Answer

Q10) The sum of an infinite G.P. is 45 and the sum of their squares is 135. Find the sum of its first term and common ratio?

Show Answer

Q11) The geometric mean of two positive numbers is 6 and it exceeds its harmonic mean by 2. Find its arithmetic mean. Show Answer

Q12) The first three terms of an H.P. are 1/5, 1/7 and 1/9 respectively. Find the 7th term of the sequence. Show Answer

Q13) How many terms are there in AP 20, 25, 30, .....130. Show Answer

Q14) Bobby was appointed to AMS Careers in the pay scale of Rs. 7000-500-12,500. Find how many years he will take to reach the maximum of the scale. Show Answer

Q15) Find the 1st term of an AP whose 8th and 12th terms are respectively 39 and 59. Show Answer

Q16) A number of squares are described whose perimeters are in GP. Then their sides will be in: Show Answer

Q17) There is an AP 1, 3, 5 .....Which term of this AP is 55 ? Show Answer

Q18) How many terms are identical in the two APs 1, 3, 5, ....upto 120 terms and 3, 6, 9, .... upto 80 terms ? Show Answer

Q19) Find the lowest number in an AP such that the sum of all the terms is 105 and greatest term is 6 times the least. Show Answer

Q20) Find the 15th term of the sequence 20, 15, 10..... Show Answer

Q21) A sum of money kept in a bank amounts to Rs. 1240 in 4 years and Rs. 1600 in 10 years at simple Interest. Find the sum. Show Answer

Q22) A number 15 is divided into three parts which are in AP and the sum of their squares is 83. Find the smallest number. Show Answer

Q23) The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is Show Answer

Q24) The number of terms of series 54 + 51 + 48 + .....such that the sum is 513 is Show Answer

Q25) The least value of n for which the sum of the series 5 + 8 + 11 .... n terms is not less than 670 is Show Answer

Q26) A man receives Rs.60 for the first week and Rs.3 more each week than the proceeding week. How many does he earn by the 20th week ? Show Answer

Q27) How many terms are there in the GP 5, 20, 80, 320, .....20480 ? Show Answer

Q28) A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, four rupees on the third day and so on. How much will the boy get if he starts working on the 1st of February and finishes on the 20th of February ? Show Answer

Q29) If the fifth term of GP is 81 and first term is 16, what will be the 4th term of the GP ? Show Answer

Q30) The seventh term of a GP is 8 times the fourth term. What will be the first term when its fifth term is 48 ? Show Answer

Q31) The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this AP ? Show Answer

Q32) The sum of three numbers in a GP is 14 and the sum of their squares is 84. Find the largest number. Show Answer

Q33) If all the numbers in the given sequence are replaced by 2, what will the 3rd element to the right of the 17th letter from the right end ? Show Answer

Q34) How many letters in the sequence are immediately preceded by a letter ? Show Answer

Q35) Find the odd man out from the option given below. Show Answer

Q36) How many symbols in the sequence are immediately preceded by a number and immediately followed by a letter ? Show Answer

Q37) In the above sequence, the value of 'J' is equal to the total value of which of the following pairs ? Show Answer

Q38) In the sequence if all the prime positioned letters are dropped, the which letter is eight to the left of the fifth to the right of the seventh letter from the right end ? Show Answer

Q39) The sides of a quadrilateral are in A.P. The semi perimeter of the quadrilateral is 40. The second largest side of the quadrilateral is three times the smallest side. How much will the largest side measure? Show Answer

Q40) Sum of all multiples of 7 in the range 1 -491 is? Show Answer

Q41) Rajesh plans to save money for gifting his friend. He puts Rs. 150 in piggy bank and then puts Rs.25 more than the previous instance, each time he puts in money. If he regularly puts in money each month, how much money (in Rs.) would be accumulated after 3 years? Show Answer

Q42) The fifth term of a G.P is 64 times the second term. If the fourth term is -320, find the sixth term of the G.P. Show Answer

Q43) The ratio of the sum of the first six terms of a G.P. to that of the sum of the first three terms of the G.P. is 217: 1 .Find the common ratio. Show Answer

Q44) 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

Q45) Fourth term of an arithmetic progression is 8. What is the sum of the first 7 terms of the arithmetic progression? Show Answer

Q46) How many total fruits will be in the basket at the end of the above order sequence ? Show Answer

Q47) How many total orange were in the basket at the end of the above sequence ? Show Answer

Q48) Along a road lie an odd number of stones placed at intervals of 10 m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then, the number of stones is Show Answer

Q49) 108 54 36 18 9 6 4 Show Answer

Q50) 5 15 30 135 405 1215 3645 Show Answer

Q51) 5 10 17 26 36 50 65 Show Answer

Q52) 6 7 16 50 208 1045 6276 Show Answer

Q53) 324 576 256 225 196 169 144 Show Answer

Q54) 6 13 38 ? 764 4585 Show Answer

Q55) 286 142 ? 34 6 7 Show Answer

Q56) 17 52 158 477 ? 4310 Show Answer

Q57) 127 139 163 ? 247 307 Show Answer

Q58) 9 36 100 ? 441 784 Show Answer

Q59) 2 8 26 ? 242 Show Answer

Q60) 2 3 10 ? 172 Show Answer

Q61) 7 8 ? 57 232 Show Answer

Q62) 5 3 6 ? 64.75 Show Answer

Q63) 12 6 ? 9 18 Show Answer

Q64) 4 -8 16 -32 64 Show Answer

Q65) 1 4 9 16 25 ? Show Answer

Q66) 1 3 6 10 15 21 ? Show Answer

Q67) 2 6 18 54 162 ? Show Answer

Q68) 125 123 120 115 108 ? ? Show Answer

Q69) 8 14 26 50 98 ? Show Answer

Q70) 824 408 200 96 44 ? Show Answer

Q71) 3 3 6 18 72 360 ? Show Answer

Q72) 16 17 21 30 46 71 ? Show Answer

Q73) 6 16 36 76 156 ? Show Answer

Q74) -2 4 22 58 118 208 324 Show Answer

Q75) 1 2 5 14 41 124 Show Answer

Q76) 190 166 145 128 112 100 91 Show Answer

Q77) 7 19 43 91 187 377 763 Show Answer

Q78) 1 1 2 6 24 96 720 Show Answer

Q79) 40960 10240 2560 640 220 40 10 Show Answer

Q80) 64 71 80 91 104 119 135 Show Answer

Q81) 7 8 18 57 228 1165 6996 Show Answer

Q82) 6 3 3 4.5 9 22.5 65.5 Show Answer

Q83) 12 18 45 155.5 708.5 Show Answer

Q84) 9 18 45 134 472.5 Show Answer

Q85) Find wrong number :
5 6 14 45 185 925 Show Answer

Q86) Find next number :
100 98 95 90 83 Show Answer

Q87) Find the wrong number:
6 12 48 100 384 768 Show Answer

Q88) Find the wrong number :
47 53 61 71 73 97 Show Answer

Q89) Find the wrong number :
426 447 431 452 440 457 Show Answer

Q90) 13 26 29 58 61 ? Show Answer

Q91) 3 5 9 11 ? 17 Show Answer

Q92) 1 5 5 25 125 ? Show Answer

Q93) On teacher's day sweets are to be equally distributed among 540 children. But on that particular day 135 children remained absent; hence each child got sweets extra. How many sweets was each child originally supposed to get ? Show Answer

Q94) On children's day sweets were to be equally distributed amongst 200 children. But on that particular day 40 children remained absent. Hence each child got 2 sweets extra. How many sweets were distributed. Show Answer

Q95) On children sweets were to be equally distributed among 300 children. But on that particular day 50 children remained absent, hence each child got one sweet extra. How many sweets were distributed? Show Answer

Q96) On a particular day, sweets were to be equally distributed among 495 students of a school. On that day 396 students of another school joined them. So each student got 4 sweets less. How many sweets were distributed? Show Answer

Q97) A no. of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones has to contribute Rs. 4 each extra. The number of those who attended the picnic was : Show Answer

Q98) 727 735 62 826 951 1167
577 (a) (b) (c) (d) (e)
What will come in place of (c)?
Show Answer

Q99) 3 4 12 45 196 1005
5 (a) (b) (c) (d) (e)
What will come in place of (d)? Show Answer

Q100) 2 3 7 25 121 721
3 (a) (b) (c) (d) (e)
What will come in place of (e)? Show Answer

Q101) 400 240 144 86.4 51.84 31.104
300 (a) (b) (c) (d) (e)
What will come in place of (b) ?
Show Answer

Q102) 11 6 7 12 26 67.6
12 (a) (b) (c) (d) (e)
What will come in place of (a)? Show Answer

Q103) 3 4 8 17 33 58 ? Show Answer