BANKING WIZARD BY PANKAJ GAUTAM(MOBILE:09905203044

TEST ON ALGEBRA, PROBLEMS ON AGES / AVERAGE/ PARTNERSHIP:

NO OF QUESTIONS 76 (1 MARKS EACH) NEGATIVE MARKING FOR WRONG ANSWERS (.25) TIME DURATION: 90 MINUTES

  1. A is 15 years younger than B, in 16 years B will be one and a half times of A. How old was A 6 years back? (a 14, b 8, c 6, d 9, e none of these)
  2. Insert 4 geometric mean between 1 and 625 (solve without option)
  3. Find the sum of the first 30 terms of the sequence 5, 12, 19, 26------(a 3195, 3200, c 3180, d 3215, e none of these)
  4. Total ages of 7 children born at the interval of 5 years is 133, what is the age of 4th child? (a 14, b 19, c 16, 17, e none of these)
  5. Mother is 4 times more than her daughter. After 12 years she will be 3 times older than her daughter, after further 8 years how much times she will be of her daughter? (a 2, b 2.5, c 2.25, d 2.75, e none of these)
  6. Q^2 -15q+56=0 and 2p^2-10+12 = 0 then (a p<q, b p=q, c p>q, d p≥q, e p ≤q)
  7. If x is a positive number such that x^2+7x+24=54, what is the value of x (a 7, b 3, c 5, d 6, e none of these)
  8. If x and y are consecutive integer, which of the following must be an even integer? (a x, b xy/2, c y, d x/y, e y)
  9. A is twice the age of b, 2 years ago a was 3 times the age of c. how old will be b after 2 years? (a 15, b 12, c 14, d data inadequate, e none of these)
  10. Age of Ramesh and his Mother is 62 years, after 8 years mother age to ramesh’s age will be in the ratio of 5:1. What was ramesh’s age 2 years back? (a 5, b 3, c 4, d 6, e none of these)
  11. Find the value of a in 6ab5 + d58c =9351 (solve without option)
  12. 2p^2+12p+16=0 and 2q^2+14q+24=0, then (a p>q, b q>p, c a =p, d q≤p, e p ≤ q)
  13. A person flies 2000 kilometers on day 1. Thereafter, every day he flies 20% of the previous day, how much maximum distance he flew in his life? (a 2250, b 3000, c 2750, d 2500, e none of these)
  14. How many three digit numbers are divisible by 8? (solve without option)
  15. Average of 5 consecutive integers starting with m as the first integer is n, what will be the average of 11 such consecutive integers which starts with m+4? Give your answer in terms of n. (solve without option)
  16. x = 12. Xy = 4 times x+y, value of y ? (a 6, b 8, c 4, d 3, e none of these)
  17. There are some pigs and some chicken, heads = 320, legs = 1040, how many pigs? (solve without option)
  18. The cost of tickets to essel world is twice for adult than what it is for children, sales tax is same for both. One adult costs 350 and one adults plus one child costs 540, what is the tax? ( a 15, b 45, c 30, d 60, e none of these)
  19. Average of 2 numbers is ab, if one number is a then the other is: (a 2ab-b, b 2ab/a+b, c 2ab/a-b, d 2ab-a, e none of these)
  20. In a gymnasium dumble of 4 pounds and 6 pounds are kept. Number of dumble is 40. Total weight of 4 pounds dumble is = to total weights of 6 pounds dumble. Find the weights of all the dumbles? (a 198, b 192, c 186, d 174, e none of these)
  21. Sum of the ages of a b and c is 100. 5 years back the ratio was 4:6:7. What is c’s present age? (a 35, b 45, c 40, d 50, e none of these)
  22. Present age of kunal and sagar are in the ratio 5:4. Three years hence ratio will be 11:9. What is sagar’s present age? (a 18, b 34, c 30, d 36, e none of these)
  23. Sum of father and son is 70 years. 5 years back father was 5 times the age of son. After 4 years father will be: (a 54, b 59, c 44, d 64, e none of these)
  24. P is younger than q by 14 years. There ages are in the ratio 2:9. How old is q? (solve without option)
  25. The age of his father 10 years ago was thrice the age of his son. Ten years hence fathers age will be twice that of his son. The ratio of their present age is: (a 7:3, b 7:4, c 6:5, d 9:8, e none of these)
  26. Three years back father was 24 years older than his son. At present father is 5 times of son. How old will be son 3 years from now? (a 9, b 6, c 7, d 8, e none of these)
  27. X is three years older than y who is half the age of z. total age of the three is 53. What is the age of x? (a 17, b 18, c 16, d 15, e none of these)
  28. What is 2 more than 3 times a certain number x? (a 3x, b 2x-3, c 2x+3, d 3x+2, e 3x-2)
  29. If the age of p and r are added to twice the age of q, the total becomes 59,. If the age of q and r are added to thrice the age of p, then total becomes 68 and if the age of p is added to thrice the age of q and thrice the age of r, the total becomes 108, what is the age of p? (a 15, b 19, c 12, d 17, e none of these)
  30. Average weight of first 11 person among 12 person is 95. 12th person is 33 kg more than the average of all the 12 person. Weight of 12th person is: (a 128, b 97.45, c 128.75, d 130, e none of these)
  31. Average of smallest and largest 3 digit number formed by 0, 2 and 4 would be: (a 312, b 213, c 303, d 222, e none of these)
  32. Average of 6 number is 3.95. average of 2 of them is 3.4, while the average of the other 2 is 3.85, average of remaining 2 is: (a 4.6, b 4.5, c 4.7, d 4.8, e none of these)
  33. If the average of 8 consecutive even number is 93 then the largest number among them is: (a 96, b 100, c 98, d 102, e none of these)
  34. John’s age is 42 years and kelvin’s age is 26 years. How many years. How many years ago kelvin’s age was half of john’s age? (a 4, b 6, c 12, d 8, e none of these)
  35. The average age of 2 brothers is 9 years, it is increased by nine years when their mother is included. Find the age of the mother. (a 32, b 30, c 40, d 34, e none of these)
  36. A is 5 years younger than b who is 3 times as old as c. if c was 10 years old 4 years back. How old will be a after 6 years? (a 3 5, b 43, c 40, d 30, e 38)
  37. The average age of a group of 15 persons is 29 years. Among them the age of each of the two persons is 55 years. What is the average age of the remaining 13 persons? (a 23, b 28, c 26, d 25, e none of these)
  38. A post man covers first 8 km @ 4 km/hr, next 6 @ 3 km/hr and final 4 @2km/hr. find his average speed for the whole? (a 4, b 6, c 12, d 8, e none of these)
  39. A b and c falls in a straight line in that order. Distance from a to b and b to c is equal. A person went from a to be @ 8 km/hr and b to c @ 4 km/hr. what is the average speed? (a 5.33, b 6, c 5.2, d 6.4, e none of these)
  40. Mode of {4,5,2,1,2,5,4,x,y,z} is 3. What is the average? (a 3, b 3.2, c 3.5, d 3.1, e none of these)
  41. A train travels @ 70 km/hr for first 9 hours and @ 120 km/hr for each additional hour. The average speed for the entire journey is 90 km/hr. what was the duration? (a 16hr, b 18 hr, c 17 hr, d 19 hr, e none of these)
  42. Average salary of 16 teacher and 7 librarian is 10500. When 2 teacher with average salary of 13000 was replaced with 2 new teacher then average salary went down by 400. What is the total salary of 2 new teacher? (a 17200, b 16600, c 18400, d 16800, e none of these)
  43. Average temperature for 19 consecutive day is 37. Average for first 9 is 33 for last nine is 40. What was the temperature on the 10th day? (a 45, b 47, c 44, d 46, e none of these)
  44. Average age of 17 students is 22. 6 more students joined and the average increased by 2. What is the average of new students? (a 28.34, b 28.86, c 29.74, d 29.14, e none of these)
  45. A student found the average of 5 positive integers each contains two digit. By mistake one number was read as ‘ba’ instead of áb’, average went down by 9. Difference between a and b is : (a 6, b 5, c 7, d 9, e none of these)
  46. Find the average of first 21 multiple of 37. (a 434, b 406, c 370, d 471, e none of these)
  47. Price of product a=40, b=50, c=60, d=70. Product sold, a =1, b=2, c=3, d=4. Find the weighted average. (a 70, b 60, c 50, d 40, e none of these)
  48. A coaching had 10 students. By the arrival of 10 new students the average cost per student decreases by 2000, while total cost increases by 10000. What was the total cost of all the 10 students earlier? (a 55000, b 60000, c 45000, d 48000, e none of these)
  49. Total cost when 6 students =6000, total cost when 15 students 10500. What will be the average cost of 30 students? (a 500, b 550, c 630, d 600, e 540)
  50. Average age of the class of 40 students is 14. After the arrival of the teacher, the average becomes 14.7. what is the age of the teacher? (a 32.7, b 30.7, c 29.8, d 30.8, e none of these)
  51. The average marks of 15 girls is 60 and x boys is 40. Class average is 52. Find the number of students. (a 25, b 28, c 22, d 24, e none of these)
  52. Average of 4 numbers is 65. 2nd no is 1/12 of the sum of other three. What is the total of 1st, 3rd and 4th number? (a 20, b 160, c 180, d 240, e none of these)
  53. A group of 9 children has an average of 15. 2 of them aged 12 and 18 leaves the group. What will be the average of the remaining students after 4 yrs? (a 19, b 18, c 21, d 15, e none of these)
  54. 13 friends decided to celebrate a party, 12 contributed 20 each and 13th paid 72 more than the average of 13. What was the amount collected? (a 253, b 241, c 247, d 261,e 338)
  55. A batsman makes a score of 224 in his 19th innings and increases his average by 10/ innings. What is his average after 19th innings? (a 34, b 44, c 54, d 48, e none of these)
  56. Average of 2 no is 6.5, geometric mean is 6 , find the numbers. (solve without option)
  57. Average of a and b=6700, b and c =5500, a and c =4500, find the value of b (a12200, b 7700, c 8300, d 9600, e none of these)
  58. A student marks was wrongly entered as 73 instead of 37 and the average increased by 4. Find the no of students (a 9, b 12, c 6, d 8, e none of these)
  59. A b c has an average of 20, d joins them and average increase by 2, b replaced e (e is 2 more than d), average is down by 1. Find b’s value (a 28, b 30, c 31, d 32, e none of these)
  60. Average of 54 consecutive number is x. what is the difference between the 1st and the 54th number? (a data inadequate, b 55, c 106, d 108, e none of these)
  61. Ram shyam and mohan invested 13000 in a business, ram 1500 more than shyam, shyam 650 more than mohan. In the profit of 7800, what is shyam’s share? (a 2470, b 2310, c 2400, d 2430, e none of these)
  62. A b and c started a business with 5000 each. After 4 months a withdrew 40% and after further 4 months b added 40%, what % of total profit will c get in a year. (a 31.58, b 32.60, c 33.20, d 34.70, e none of these)
  63. A and b use a field for 7 months @6000/ month. A puts 40 cattle for 6 months, how many cattle should b put for 1 month if he pays 1/5 of a? (a 45, b 44, c 36, d 38, e none of these)
  64. A b and c starts a business. A contributes 2/3rd of c’s capital and b ½ of a+c capital. Total capital was 18000. Out of the total profit of 3000 find c’s share. (a 1050, b data inadequate, c 1350, d 1500, e none of these)
  65. A b and c started a business together. A invested 6000. A got 2400 as profit, c invested 8000, what was b is investment if total profit was 7000? (a 3500, b 3800, c 4200, d data inadequate, e none of these)
  66. The ratio of capital of a b and c is 3/4: 2/6: 1/5. After 6 months, a withdrew 1/3 and b adds 1/2 . if c’s profit is 6000, what is total profit? (a 36000, b 72000, c 54000, d 45000, e none of these)
  67. B and c are working partners and for this they get 2/5 and 1/4 of profit as their salary. A’s capital is 4000, b 5000 and c’s 6000. Ratio of the profit is divided as per capital. At the end of 1 year, a’s profit other than salary is 5600. What is the total profit? (a 20000, b 19000, c 17500, d 22500, e none of these)
  68. A and b enter into a partnership. A invested for 5 months and claims 3/7 of the total profit. If b had invested 3200 for 7 months. What was a’s capital? (a 3410, b 3380, c 3360, d 3340, e none of these)
  69. B is thrice of a and four times of c. if the profit is 9500 which is 1/1oth of capital. Find b’s capital. (a 62000, b data inadequate, c 55000, d 57500, e none of these)
  70. Three partners share the profit in the ratio of 6:9:13. They had participated for 11 months, 5 months and 4 months. What was the ratio of their investment? (a 120:432:715, b 123:313:405, c 121:433:716, d 4:14:37, e none of these)
  71. A and b invested in the ratio of 4:3. 23% of the profit goes to charity, rest are divided as per capital. A gets 176, what is b’s profit? (a 92, b 112, c 132, d 127, e none of these)
  72. A and b starts a firm. A’s investment is two and a half times of b and period is three and a half times of b. what is the ratio of profit? (a 29/4, b 31/4, c 35/31, d 31/35, e none of these)
  73. A starts a business with a capital of 1200. B and c joins with equal investment after 3 and 6 months respectively. If at the end of the year, profit is divided in the ratio of 2:3:5, what is c’s investment in the business? (a 2400, b 6000, c 3600, d 4800, e none of these)
  74. A contributed 1/2 of the capital for 1/3 of the time, b 1/3 of the capital for 1/4 of the time and c remaining capital for the entire time? What is the share of c out of 1000? (a 250, b 400, c 200, d 500, e none of these)
  75. A invested an amount of 50000 to start a business. After 6 months b joined with 80000. After the end of 3 years the profit was 24500, what is a’s share in the profit? (a 14500, b 9423, c 10500, d 10250, e 12500)
  76. Average weight of three boys p, t and r is 54+1/3 kg, while t, f and g is 53 kg. what is the average weight of d t r f and g? (a 53, b 52.4 c data inadequate, d 53.2, e none of these)

BANKING WIZARDAPANKAJ GAUTAM 09905203044Page1