Aptitude Questions and Answers
Test -1
1. The sum of the squares of a two digit number is 10. If we add 18 to this number we get another number consisting of the same digits written in reverse order.The original number is
2. The unitdigit of (12345k)72 is 6.The value of k is
3. The average of a,b and c is 79 and the average of a and c is also 79.Then the value of b is
4. a:b=4:9, if 4 is added to both of the numbers then the new ratio becomes 21:46.What is the difference between a and b?
5.The length of a plot is decreased by 33.33%.By how much % the breadth of the plot will be increased so that the area remains constant?
6.220% of a number X is 44.What is 44% of X?
7. Reshma purchases oranges at Rs.10 per dozen and sells them at Rs.12 for every 10 oranges.What is the Profit percentage?
8. By selling 12 apples for a rupee,a man losses 20%.How many for a rupee should he sell to gain 20%?
9. At r% per annum a sum doubles after 20 years.The rate of interest per annum is
10. A covered half of his journey at 20 km/hr and rest at X km/hr, then his average speed is 24 km/hr.What is the value of X?
11. A train 350 m long is moving at the speed of 20 km/hr.It will cross a man coming from the opposite at the speed of 1 km/hr in how much time?
12. A train passes an electric pole in 10 secs and a platform 120 m long in 18 secs.Its length in meters is
13. Walking at ¾ of her normal speed Pinky takes 2 hours more than the normal time.What is her normal time?
14.24 men complete a job in 40 days. The number of men required to complete the job in 32 days is
15.A can do a piece of work in 8 days,B can do it in 16 days while C can do it in 80 days.In how many days they can complete the whole work,working together?
16. A train leaves station X at 5am and reaches station Y at 10am. Another train leaves station Y at 7am and reaches station X at 10:30 am. At what time do the two trains cross each other?
17. A train 150 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
18. If Devi walks at the rate of 4 km/hr from her office to her home, she will be 30 mins late. If she walks at the speed of 6 km/hr,she will reach 40 mins earlier. What is the distance between her home and office.
19. Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has been driving at 20 kmph?
20. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
21. A person spends 20% of his income on rent, 20% of the rest on food, 10% of the remaining on clothes and 10% on groceries. If he is left with Rs. 9520/- find his income.
22. If the cost of electricity increases by 30%, by what percent one should reduce his spend in order that spent on electricity stays the same?
23. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x
24. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:
25. How many natural numbers are there between 23 and 100 which are exactly divisible by 8?
26. The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member?
27. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
28. A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
29. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
30. Some money was lent on 4% C.I. If the difference in interest of second and the first year is Rs. 88, find out the sum.
Answers
1 13 16 8.14am
2 2,6,8 17 9 sec
3 79 18 14 km
4 100 19 3 hours 12 mins
5 50% 20 28:30:00
6 8.8 21 Rs.20000
7 44% 22 23.07%
8 8 23 16 articles
9 5% 24 35 cm
10 30 25 10
11 60s 26 12.5
12 150m 27 13 days
13 8 hours 28 60 days
14 30 hours 29 12 hrs
15 5 days 30 55000
2 2,6,8 17 9 sec
3 79 18 14 km
4 100 19 3 hours 12 mins
5 50% 20 28:30:00
6 8.8 21 Rs.20000
7 44% 22 23.07%
8 8 23 16 articles
9 5% 24 35 cm
10 30 25 10
11 60s 26 12.5
12 150m 27 13 days
13 8 hours 28 60 days
14 30 hours 29 12 hrs
15 5 days 30 55000
TEST-2
1.A girl wrote all the numbers from 100 to 200. Then she started counting the number of one’s that has been used while writing all these numbers. What is the number that she got?
A.111 B.119 C.120 D.121
2.What is the remainder when 7187 is divided by 800?
A.143 B.243 C.343 D.443
3.What is the value of M and N respectively if M39048458N is divisible by 8 and 11, where M and N are single digit integers?
A.7,8 B.8,6 C.6,4 D.5,4
4.A certain number when divided by 222 leaves a remainder 35, another number when divided by 407 leaves a remainder 47. What is the remainder when the sum of these two numbers is divided by 37?
A.8 B.9 C.12 D.17
5.The LCM of two numbers is 280 and their ratio is 7:8. The two numbers are
A.70,80 B.35,40 C.42,48 D.28,32
6. Distance between two stations A and B is 778km. A train covers the journey from A to B at 84km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of train during the whole journey.
A.60 km/hr B.30.5 km/hr C.57 km/hr D.67.2 km/hr
7.The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly:
A.28.32 B.29.68 C.28.78 D.29.27
8.The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, then find the average for the last four matches.
A.33.25 B.33.5 C.34.25 D.35
9. A Batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning.
A.40 B.39 C.52 D.55
10.While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average?
A. 8% B.8( 13/17)% C.8 (15/17)% D.8(1/2)%
11.A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are :
A. 300 B. 500 C.800 D. 1000
12.Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
A. 57% B. 60% C. 65% D. 90%
13.In an election between two candidates, one got 55% of the total valid votes, 20% of votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
A. 2700 B. 2900 C. 3000 D. 3100
14.If 75% of a number is added to 75, then the result is the number itself. The number is :
A.50 B. 60 C.300 D. 400
15.The difference between the cost price and sale price of an article is Rs. 240. If the profit is 20%, the selling price is :
A. Rs. 1240 B. Rs. 1400 C.Rs. 1600 D.None of these
16.A shopkeeper sold an article for Rs. 2090.42. Approximately, what will be the percentage profit if he sold that article for Rs. 2602.58?
A. 15% B.20% C. 25% D.30%
17.A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is :
A.5(15/17)% loss B.5(15/17)% gain C.6(2/3)% gain D. None of these
18.If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is :
A. Rs. 50 B.Rs. 160 C. Rs. 200 D. Rs. 225
19. If simple interest on a certain sum of money is Rs. 256 and the rate of interest per annum equals the number of years, then the rate of interest is
A.13% B. 14% C.16% D. None of these
20. Find the interest due after 120 days for Rs. 3800 at 10%
A.124.93 B.123.01 C.125.59 D.126.47
21. What will be the amount if a sum of Rs. 5000 is placed at compound interest for 3 years while rate of interest for the first, second and third years is 2, 3 and 4 percent, respectively?
A.Rs. 5643.12 B. Rs.5463.12 C.Rs.6413.12 D. None of these
22. If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the same rate and for the same time?
A.Rs. 51.25 B. Rs. 52 C.Rs. 54.25 D.Rs. 60
23. I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?
A.4 hours B.2 hours C.3 hours D.2 hours 24 minutes
24. Walking at 3/4th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time?
A.30 min B.60 min C.70 min D. 50min
25. A train 100 m long is running at the speed of 30 km/hr. Find the time taken by it to pass a man standing near the railway line.
A.10 sec. B.12 sec. C.14 sec. D.16 sec.
26. How long does a train 110 meters long running at the speed of 72 km / hr take to cross a bridge 132 meters in length ?
A.9.8 sec B.12.1 sec C.12.42 sec D.14.3 sec
27. How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr ?
A.25 B.30 C.40 D.45
28. A train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds. The speed of the second train is :
A.60 km/hr B.66 km/hr C.72 km/hr D.99 km/hr
29. Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms?
A.60 km/hr B.90 km/hr C.120 km/hr D.135 km/hr
30.A mixture contains alcohol and water in the ratio 4:3. If 5 litres of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.
A. 08 Litres B.10 Litres C. 18 Litres D. 22 Litres
31.A sum of Money is to be distributed among A, B, C, D in the proportion of 5:2: 4:3. If C gets Rs. 1000 more than D, what is B’s share?
A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these
32.If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:
A. 12 B. 15 C. 16 D. 19
33.Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
A.2:5 B.3:5 C.4:5 D.5:4
34.If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, then A : B : C : D is:
A. 16 : 22 : 30 : 35 B.16 : 24 : 15 : 35 C. 16 : 24 : 30 : 35 D. 18 : 24 : 30 : 35
35.what must be the ratio in rice at Rs.3.20/kg be combined with rice at Rs.2.90/kg so that the combination of worth Rs.3.08/kg is,
A.1:2 B.2:3 C.3:5 D.3:2
36. How many kg’s of salt pricing Rs.9/per kg must be combined with 27 kg of salt pricing Rs.7/kg so that 3 may be obtain of 10% by selling the combination at Rs.9.24/kg?
A.63Kg B.45Kg C.27Kg D.40Kg
37.Two cups X and Y contain coffee and water combined in the ratio 8:5 and 5:2 correspondingly. What is the ratio in these 2 combinations be combined to get a new combination has coffee and water in the ratio of 9:4?
A.1:3 B.2:7 C.3:4 D.5:8
38.To complete a piece of work A and B take 8 days, B and C 12 days. A, B and C take 6 days. A and C will take ?
A.7 Days B.7.5 Days C.8 Days D.8.5 Days
39.Mr. Ram is on tour and he has Rs 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by Rs 3. The number of days of Mr. Ram’s tour programme is
A.28 Days B.24 Days C.22 Days D.20 Days
40.39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A.10 B.13 C.14 D.15
41.Anil does a work in 90 days, Bittu in 40 days and Chintu in 12 days. They work one after another for a day each, starting with Anil followed by Bittu and then by Chintu. If the total wages received are Rs 360 and Anil, Bittu, Chintu share them in the ratio of the work done, find their respective individual wages.
A.Rs 40, Rs 60 and Rs 260 B.Rs 36, Rs 81 and Rs 243
C.Rs 42, Rs 86 and Rs 232 D.Rs 38, Rs 88 and Rs 234
42.When Abhinav and Bipul are working alone, they can complete a piece of work in 25 days and 30 days respectively. On day 1, Bipul started the work and Abhinav joined B from day 3 on-wards. Find after how many days will the work be completed?
A.13 B.11 C.15 D.16
43.The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P. What will be the ratio of the ages of P and Q after 4 years?
A.3 : 4 B.3 : 5 C.4 : 3 D.None of these
44. The Average age of a class of 22 students in 21 years. The average increases by 1 when the teacher’s age also included. What is the age of the teacher?
A.44 B.43 C.41 D.40
45.A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is
A.44 B.32 C.22 D.45
46.Ten years ago, Kumar was thrice as old as Selva was but 10 years hence, he will be only twice as old. Find Kumar’s present age.
A.60 years B.80 years C.70 years D. 76 years
47.The speed of the boat in still water in 12 kmph. It can travel downstream through 45 kms in 3 hrs. In what time would it cover the same distance upstream?
A.3 B.5 C.6 D.4
48.In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
A.3 km/hr B.5 km/hr C.8 km/hr D.9 km/hr
49.Pipes A and B can fill a tank in 12 min and 16 min respectively. Both are kept open for ‘n’ min and then B is closed and A fills the rest of the tank in 5 min. The time ‘n’ after which B was closed is:
A.3 min B.2 min C.5 min D.4 min
50.Pipe A fills a tank of 700 litres capacity at the rate of 40 litres a minute. Another pipe B fills the same tank at the rate of 30 litres a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 litres a minute. If pipe A is kept open for a minute and then closed and pipe B is kept open for a minute and then closed and then pipe C is kept open for a minute and then closed and the cycle repeated, how long will it take for the empty tank to overflow?
A.42 minutes B.14 minutes C.39 minutes D.None of these
51.Which of the following has most number of divisors?
A.99 B.101 C.176 D.182
52.If we write down all the natural numbers from 259 to 492 side by side get a very large natural number 259260261….491492. How many 8’s will be used to write this large natural number?
A.32 B.43 C.52 D.53
53.How many five digit multiples of 11 are there, if the five digits are 3,4,5,6 and 7 in the same order?
A.10 B.11 C.12 D.13
54.The number 3 divides ‘a’ with a result of ‘b’ and a remainder of 2. The number 3 divides ‘b’ with a result of 2 and a remainder of 1. What is the value of a?
A.13 B.17 C.21 D.23
55.IBM-Daksh observes that it gets a call at an interval of very 10 minutes from Seattle, at every 12 minutes from Arizonia, at the interval of 20 minutes from New York and after every 25 minutes it gets the call from Newark. If in the early morning at 5:00 a.m. it has received the calls simultaneously from all the four destinations, then at which time it will receive the calls at a time from all places on the same day?
A.10:00 am B.3:00 am C.5:00 am D.Both (A) and (B)
56.There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.42 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess?
A.Rs. 450 B.Rs. 320 C.Rs. 550 D.Rs. 420
57. Nine persons went to a hotel for taking their meals. Eight of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them.
A.Rs. 115 B.Rs. 116 C.Rs. 117 D.Rs. 118
58.The average of runs of a cricket player of 10 innings was 32. How many runes must be made in his next innings so as to increase his average of runs by 4?
A.72 B.74 C.70 D.76
59.A library has an average of 510 visitors on sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a sunday is
A.250 B.276 C.280 D.285
60.In an examination, 35% of the students passed and 455 failed. How many students appeared for the examination?
A. 490 B. 700 C.845 D. 1300
61.270 candidates appeared for an examination, of which 252 passes. The pass percentage is:
A. 80% B. 83(½)% C. 90(1/3)% D. 93(1/3)%
62.A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A. 45% B.45(5/11)% C.54(6/11)% D.55%
63.A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.
A.50 B.100 C.150 D.200
64.Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
A.39, 30 B.41, 32 C.42, 33 D.43, 34
65.A trader mixes three varieties of groundnuts costing Rs. 50, Rs. 20 and Rs. 30 per kg in the ratio 2 : 4 : 3 in terms of weight, and sells the mixture at Rs. 33 per kg. What percentage of profit does he make?
A. 8% B. 9% C. 10% D.None of these
66.A man bought apples at the rate of 8 for Rs. 34 and sold them at the rate of 12 for Rs. 57. How many apples should be sold to earn a net profit of Rs. 45?
A. 90 B.100 C. 135 D. 150
67.Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of Rs. 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should he sell the mixture to make 30% profit?
A. Rs. 14.80 B. Rs. 15.40 C. Rs. 15.60 D. Rs. 16.30 E. Rs. 18.20
68.If by selling 110 mangoes, the C.P. of 120 mangoes is realised, the gain percentage is :
A.9(1/11)% B.9(1/9)% C.10(10/11)% D.11(1/9)%
69. Find the rate of interest at which Rs. 100 becomes Rs. 200 in 10 years.
A.10% B.15% C.8% D.17%
70. Albert invested an amount of Rs.8000 in a fixed deposit scheme for 2 years at compound interest rate 5 % per annum. How much amount will Albert get on maturity of the fixed deposit ?
A.Rs.8600 B.Rs.8620 C.Rs.8840 D.Rs. 8820
71. Mr. Mani invested an amount of Rs. 12000 at the simple interest rate of 10% per annum and another amount at the simple interest rate of 20% per annum. The total interest earned at the end of one year on the total amount invested became 14% per annum. Find the total amount invested.
A.Rs. 20000 B.Rs. 20800 C.Rs. 21000 D. None of these
72. Rohit earns an interest of Rs 1656 for the third year and Rs 1440 for the second year on the same sum. Find the rate of interest if it is lent at compound interest.
A.18% B.12% C.15% D. None of these
73.P and Q walk from A to B, a distance of 27 km at 5 km/hr and 7 km/hr respectively. Q reaches B and immediately turns back meeting P at T. What is the distance from A to T?
A.25 km B.22.5 km C.24 km D.20 km
74.A skating champion moves along the circumference of a circle of radius 28m in 44 sec. How many seconds will it take her to move along the perimeter of a hexagon of side 48 m?
A.90 B.84 C.68 D.72
75. In what time will a train 100 meters long cross an electric pole, if its speed be 144 km/hr ?
A.2.5 sec B.4.25 Sec C.5 sec D.12.5 sec
76. A train of length 150 meters takes 40.5 seconds to cross a tunnel of length 300 meters. What is the speed of the train in km/hr ?
A.13 33 B.26.67 C.40 D.66.67
77.Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same direction ?
A.72 sec B.132 sec C.192 sec D.252 sec
78.A train 110 m long passes a man, running at 6 kmph in the direction opposite to that of the train, in 6 seconds The speed of the train is
A.54 km/hr B.60 km/hr C.66 km/hr D.72 km/hr
79.A train covered a certain distance at a uniform speed. If the train had been 6 km/hr faster, it would have taken 4 hour less than the scheduled time. And, if the train were slower by 6 km/hr, the train would have taken 6hr more than the scheduled time. The length of the journey is:
A.700 km B.740 km C.720 km D.760 km
80.An amount of Rs. 2430 is divided among A, B and C such that if their shares be reduced by Rs. 5, Rs.10 and Rs. 15 respectively, the remainders shall be in the ratio of 3 : 4 : 5. Then, B’s share was :
A .Rs. 605 B. Rs. 800 C.Rs. 790 D. Rs. 810
81.Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
A.2:3:4 B.6:7:8 C.6:8:9 D.None of these
82. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit’s salary?
A.Rs. 17,000 B.Rs. 20,000 C.Rs. 34,000 D.Rs.38,000
83.A, B and C enter into a partnership by investing Rs.3600, Rs.4400 and Rs.2800. A is a working partner and gets a fourth of the profit for his services and the remaining profit is divided amongst the three in the rate of their investments. What is the amount of profit that B gets if A gets a total of Rs. 8000?
A.4888.88 B.9333.33 C.4000 D.3666.66
84. The ratio of marks obtained by Vinod and Basu is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted.
A.150 B.200 C.400 D.None of these
85.In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
A.3 : 7 B.5 : 7 C.7 : 3 D.7 : 5
86. In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A.3 : 2 B.3 : 4 C.3 : 5 D.4 : 5
87.Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69 (3/13)% milk, is:
A.2 : 7 B. 3 : 5 C. 5 : 2 D. 5 : 7
88.A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. B alone will be able to complete the same working in
A.74 Days B.80 Days C.84 Days D.90 Days
89.A work is done by three person A,B and C. A alone takes 10 hours to complete a single product but B and C working together takes 4 hours, for the completion of the same product. If all of them worked together and completed 14 products, then how many hours have they worked?
A.20 hrs B.28 hrs C.40 hrs D.54 hrs
90.Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How many days will a woman take to do the job, if she works alone on it?
A.18 B.36 C.54 D.None of these
91.The digging work of the DMRC on the Adohini-Andheriamore stretch requires Twenty-four men to complete the work in sixteen days. As a part of the task if DMRC were to hire Thirty-two women, they can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Due to time bound schedule the work had to be completed in remaining 2 days, for which how many more men are to be employed?
A.48 B.24 C.36 D.16
92.A red light flashes 3 times per minute and a green light flashes 5 times in two minutes at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour?
A.30 B.29 C.31 D.32
93.A father is four times as old as his son today. After 20 years, he would be just twice as old. At the time of birth of his son, how much old must the father be?
A. 31 B. 30 C.37 D.38
94. The total of the ages of Jayant, Prem and Saransh is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Saransh?
A.24 years B.32 years C.34 years D.38 years
95.The ages of Kamaraj and Deenan differ by 16 years, Six years ago, Mohan’s age was thrice as that of Kamaraj’s find their present ages.
A.14 years, 30 years B.12 years, 28 years C.16 years, 34 years D.18 years, 38 years
96.The average age of class of 20 students is 20 years. If the teacher’s age is included the average increases by 1. What is the age of the teacher?
A.40 B.41 C.31 D.42
97. A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
A.4 km/hr B.6 km/hr C.8 km/hr D.Data inadequate
98. The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:
A.1.2 km B.1.8 km C.2.4 km D.3.6 km
99.Two taps can fill a tank in 12 min and 18 min respectively. Both the taps are kept open for 2 min and then the tap that fills the tank in 12 min is turned off. In how many more minutes will the tank be filled?
A.9 B.12 C.13 D.10
100. An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. The leak can drain out all the water of the tank in
A.10 hours 30 min B. 21 hours C. 12 hours D. 24 hours
Answers
1 c 26 b 51 c 76 c
2 c 27 b 52 d 77 d
3 c 28 d 53 c 78 b
4 a 29 c 54 d 79 c
5 b 30 b 55 a 80 d
6 d 31 c 56 d 81 a
7 b 32 a 57 c 82 c
8 c 33 c 58 d 83 a
9 b 34 c 59 d 84 b
10 c 35 d 60 b 85 c
11 b 36 a 61 d 86 a
12 a 37 a 62 b 87 a
13 a 38 c 63 b 88 c
14 c 39 d 64 c 89 c
15 d 40 b 65 c 90 c
16 c 41 b 66 a 91 b
17 b 42 c 67 d 92 a
18 c 43 d 68 a 93 b
19 c 44 a 69 a 94 d
20 a 45 a 70 d 95 a
21 b 46 c 71 a 96 b
22 a 47 b 72 c 97 b
23 c 48 c 73 b 98 d
24 b 49 d 74 d 99 c
25 b 50 d 75 a 100 b
2 c 27 b 52 d 77 d
3 c 28 d 53 c 78 b
4 a 29 c 54 d 79 c
5 b 30 b 55 a 80 d
6 d 31 c 56 d 81 a
7 b 32 a 57 c 82 c
8 c 33 c 58 d 83 a
9 b 34 c 59 d 84 b
10 c 35 d 60 b 85 c
11 b 36 a 61 d 86 a
12 a 37 a 62 b 87 a
13 a 38 c 63 b 88 c
14 c 39 d 64 c 89 c
15 d 40 b 65 c 90 c
16 c 41 b 66 a 91 b
17 b 42 c 67 d 92 a
18 c 43 d 68 a 93 b
19 c 44 a 69 a 94 d
20 a 45 a 70 d 95 a
21 b 46 c 71 a 96 b
22 a 47 b 72 c 97 b
23 c 48 c 73 b 98 d
24 b 49 d 74 d 99 c
25 b 50 d 75 a 100 b
TEST-3
1.Find the remainder when 231 is divided by 5.
A.4 B.5 C.3 D.7
2.The sum of three digit number is subtracted from the number. The resulting number is always
A.divisible by 6 B.not divisible by 6 C.divisible by 9 D.not divisible by 9
3.What is the remainder let after dividing 1!+2!+3!…..+10! by 7?
A.0 B.5 C.14 D.21
4.When a particular positive number is divided by 5, the remainder is 2. If the same number is divided by 6, the remainder is 1. If the difference between the quotients of division is 3, then find the number.
A.37 B.97 C.67 D.87
5.There are 24 peaches, 36 apricots and 60 bananas and they have to be arranged in several rows in such a way that every row contains the same number of fruits of one type. What is the minimum number of rows required for this to happen?
A.15 B.20 C.10 D.12
6.The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
A.0 B.1 C.10 D.19
7. The avearage age of boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
A.15 years B.15.5 years C.16 years D.Cannot be computed
8. The batting average for 40 innings of a cricket palyer is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is
A.165 runs B.170 runs C.172 runs D.174 runs
9. The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
A.20 B.21 C.22 D.23
10.The price of an item changed from Rs. 120 to Rs. 100. Then later the price decreased again from Rs. 100 to Rs. 80. Which can be said about the two decreases in percentage term?
A.1st decrease is larger B.2nd decrease is larger
C.both are equal D.nothing can be said
11.The population of a town has increased from 133575 to 138918. The percent increase in population is. [Clerks Grade 19]
A.2.5 B.3.5 C.3 D.4
12.A companies profit is increased in a year from $250000 to $300000.Find the percentage increase.
A.30% B.20% C.35% D.40%
13.30% of population of a certain island are female.There are approximately 1500 females on the island.How many males are there in their island?
A.2000 B.3500 C.5000 D.3200
14.A car is bought for $1500 but depreciates in value at the rate of 8%per year.calculate
how much the car is worth after 2 years.what is the total depreciation of the car after two years,expressed as percentage?
A.10% B.15.36% C.20.23% D.12.36%
15.The ratio of the cost price and the selling price is 4 : 5. The profit percent is :
A.10% B. 20% C. 25% D. 30%
16.Jacob bought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
A. Rs. 400 B.Rs. 440D C.Rs. 500 D. Rs. 550
17.The cost price of 19 articles is equal to the selling price of 16 articles. Gain percentage is :
A.3 (9/11)% B.45 (5/11)% C.18(¾)% D.20%
18.Two mixers and one T.V. cost Rs. 7000, while two T.V.s and a mixer cost Rs, 9800. The value of one T.V. is:
A.Rs. 2800 B.Rs.4200 C.Rs. 2100 D.Rs. 8400
19.If the difference between the simple interest and compound interests on some principal amount at 20% for 3 years is Rs. 48, then the principal amount is
A.Rs. 648 B.Rs. 600 C.Rs. 375 D.Rs. 350
20. What sum invested for 2 years at 12% compounded annually will grow to Rs. 4390.40?
A.Rs. 4000 B.Rs. 3500 C.Rs. 3800 D.Rs. 3875
21. A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% compound interest. The sum borrowed was:
A.Rs. 1620 B.Rs. 1640 C.Rs. 1680 D.Rs. 1700
22.Divide Rs. 3903 between A and B, so that A’s Share at the end of 7 years may equal to B’s share at the end of 9 years, compound interest being at 4 percent.
A.Rs. 2028, Rs. 1875 B.Rs. 2018, Rs. 1885
C.Rs. 2008, Rs. 1895 D.Rs. 2038, Rs. 1865
23.In a race, the speeds of A and B are in the ratio 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is:
A.1 hr B.1.5 hr C.2 hr D.2.5 hr
24.The jogging track in a sports complex is 726 m in circumference. Suresh and his wife start from the same point and walk in opposite direction at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in:
A.5.5 minutes B.6 minutes C.4.9 minutes D.5.28 minutes
25. A train 360 m long is running at a speed of 45 km/hr. In what time it will it pass a bridge 140 m long?
A.40 sec B.42 sec C.45 sec D.48 sec
26.A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?
A.1777 meters B.1822 meters C.400 meters D.1400 meters
27. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is :
A.45 m B.50 m C.54 m D.72 m
28. 2 identical trains A and B running in opposite direction at same speed take 2 min to cross each other completely. The number of bogies of A are increased from 12 to 16. How much more time would they now require to cross each other?
A.40 sec B.50 sec C.60 sec D.20 sec
29.2 trains starting at the same time from 2 stations 200km apart and going in opposite direction cross each other at a distance of 110km from one of the stations. What is the ratio of their speeds?
A.11 : 9 B.7 : 3 C.18 : 4 D.None of these
30.The salaries of A, B, C are in the ratio 2 : 3 : 5. if the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
A .3 : 3 : 10 B. 10 : 11 : 20 C. 23 : 33 : 60 D. Cannot be determined
31. Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?
A. 58 kg B.60 kg C. 64 kg D. 70 kg
32. In a bag, there are coins of 25 p 10 p and 5 p in the ratio of 1 : 2 : 3. If there are Rs. 30 in all, how many 5 p coins are there?
A. 50 B. 100 C.150 D.200
33.If 10% of x = 20% of y, then x : y is equal to:
A.1 : 2 B. 2 : 1 C. 5 : 1 D. 10 : 1
34. The ratio of the incomes of A and B is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs. 1600, then the income of A is :
A.Rs. 3400 B. Rs. 3600 C.Rs. 4000 D. Rs. 4400
35.In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?
A.3:2 B.1:2 C.2:3 D.2:1
36. In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so
that the mixture be worth Rs. 10 per kg ?
A.2:3 B.8:7 C.7:5 D.3:1
37. A merchant purchased 20 kg of wheat at the rate of Rs.15 per kg and 30 kg of wheat at the rate of Rs.13 per kg.At what price per kg should he sell the mixture to earn 33 1/3% profit on the cost price?
A. Rs.18.40 B. RS.24.50 C. Rs.14.50 D. RS.20.80
38. A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was
A.12 B.11 C.10 D.9
39.In Nuts And Bolts factory, one machine produces only nuts at the rate of 100 nuts per minute and needs to be cleaned for 5 minutes after production of every 1000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and needs to cleaned for10 minutes after production of every 1500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9000 pairs of nuts and bolts?
A.130 minutes B.135 minutes C.170 minutes D.180 minutes
40.A and B borrowed a tractor for 23 days. A ploughed 12 acres per day for a certain number of days and then B used it to plough 15 acres per day for the remaining days. If they paid Rs 3,000 and Rs 2,000 respectively, for how many days did A use the tractor?
A.12 B.15 C.16 D.18
41.A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
A.18 B.27 C.26.67 D.16
42. Ram, who is half as efficient as Krish, will take 24 days to complete a work if he worked alone. If Ram and Krish worked together, how many days will they take to complete the work?
A.16 B.12 C. 8 D.18
43.The ratio of the ages of Meena and Meera is 4 : 3. The sum of their ages is 28 years. The ratio of their ages after 8 years will be
A.4 : 3 B.12 : 11 C.7 : 4 D. 6 : 5
44.Meeta is two years older than Sunita. After six years the sum of their ages will be seven times their present age. Find out the age of Meeta
A.10 Years B.8 years C.6 years D.Data inadequate
45.The ages of A and B are in the ratio of 6:5 and sum of their ages is 44 years. The ratio of their ages after 8 years will be
A.4 : 5 B. 3 : 4 C.3 : 7 D.8 : 7
46.The ratio of the ages of mother to that of daughter is 7:3 today. After 5 years, this ratio would be 2:1. How many years old should the mother be at the time of birth of her daughter?
A. 18 B. 21 C. 22 D.20
47. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
A.2.4 km B.2.5 km C.3 km D.3.6 km
48. A man can row three-quarters of a kilometre against the stream in 11 ¼ minutes and down the stream in 7 ½ minutes. The speed (in km/hr) of the man in still water is:
A.2 B.3 C.4 D.5
49. A tap can fill a tank in 16 minutes and another can empty it in8 minutes. If the tank is already half full and both the tanks are oped together, the tank will be:
A. filled in 12 mm. B.filled in 8 mm, C. emptied in 12 mm. D.emptied in 8 mm.
50. Two pipes A and B can fill a cistern in 12 minutes and 16 minutes respectively. If both the pipes are opened together, then after how much time B should be closed so that the tank is full in 9 minutes ?
A.3 min and 30 sec. B.4 min and 30 sec. C.4 min. D.4 min 77 sec.
51.The number 3072 is divisible by both 6 and 8. Which one of the following is the first integer larger than 3072 that is also divisible by both 6 and 8?
A.3084 B.3086 C.3090 D.3096
52.The numbers 1 to 29 are written side by side as follows 1234567891011……2829. If the number is divided by 9, then what is the remainder?
A.0 B.1 C.2 D.3
53.Find the greatest five digit number that is exactly divisible by 7, 10, 15, 21 and 28.
A.99840 B.99900 C.99960 D.99990
54. Which of the following fractions contains 12/17 ?
(i) 32/34 and 30/34 (ii) 30/51 and 38/51
(iii) 45/68 and 53/68 (iv) 56/85 and 59/85
A. (ii) only B.(i)&(iii) C.(ii)&(iii) D.(i)&(iv)
55. Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
A.1050 B.1440 C.1520 D.1590
56. The average of 12 consecutive even integer is 30. What will be the average of next 12 consecutive even integer?
A.36 B.42 C.54 D.56
57. The average weight of a class of 20 boys was calculated to be 58.4 kg and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
A. 67.4kg B. 58.85kg C. 57.75kg D. 49.4kg
58. The average temperature for Monday, Tuesday and Wednesday is 36.3 degrees C. The average temperature for Tuesday, Wednesday and Thursday is 36.7 degrees C. if Monday’s temperature recorded as 39 degrees c, find the Thursday’s temperature?
A. 40.2 deg C B. 39.2 deg C C. 41.4 deg C D. 40.4 deg C
59. A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs.5, 200 a year. What is his average monthly income?
A. Rs. 2050 B. Rs. 210 0 C. Rs. 1950 D. Rs. 2200
60. A person spends 20% of his income on rent, 20% of the rest on food, 10% of the remaining on clothes and 10% on groceries. If he is left with Rs. 9520/- find his income.
a. 10000/- b.15000 c. 20000/- d. None
61.If A is 20% taller than B, by what percent is B shorter than A?
a. 20% b. 25% c. 16.66% d. None
62.In an election, 30% of the voters voted for candidate A whereas 60% of the remaining voted for candidate B. The remaining voters did not vote. If the difference between those who voted for candidate A and those who did not vote was 1200, how many individuals were eligible for casting vote in that election?
a.10,000 b.60,000 c.45,000 d.72,000
63. Ram obtains 40 % of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25 % of Ram’s marks, while Bhuvan is ahead of Shyam by one ninth of his own marks. How many marks does Bhuvan get?
a.110 b.112.5 c.115.5 d.125
64. What is the % change in the area of a square (which will become rectangle) if its length side is increased by 10% and its width side is decreased by 10%?
a.10%dec b.1% dec c.10% inc d.1% inc
65.The population of a town in the first year increases by 10% in the next year it decreases by 10% once again in the third year it increases by 10% and in the fourth year it decreases by 10%.If the present population be 20,000 then the population after four years will be.
a.21000 b.19800 c.21700 d.19602
66.The height of ramya some times ago was 110cm.Now his height is 120cm.find the percentage in his height.
a. 10% b. 9.09% c. 16.66% d. None
67. If SP of 10 articles is equal to CP of 12 articles. What is the gain percent?
a. 10% b. 20% c. 25% d. None
68. If Kapil had sold a stereo for Rs. 6000, he would have made a 20% profit. Instead, he sold it for a 40% loss. At what price was the stereo sold?
a.4500 b.3500 c.5000 d.3000
69.Radha purchased grains worth Rs.600.She sold 1/3rd at a loss of 10%.At what gain percentage should the remainder be sold so as to gain 20% overall?
a. 20% b. 35% c. 25% d. 30%
70. What is the effect when price of gold is increased by 20% and sales decreased by 15%.
a. 4% b. 2.5% c. 2% d. 5%
71.In a shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, find out approximately what percentage of the selling price is the profit?
a. 250% b. 100% c. 70% d. 30%
72.An exporter expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
a.Insufficient Data b.Rs. 80 c. Rs.90 d.Rs.72
73. The difference between the compound interest and the simple interest on a certain sum at 12% p.a. for two years is Rs.90. What will be the value of the amount at the end of 3 years?
A.9000 B.6250 C.8530.80 D.8780.80
74.Some money was lent on 4% C.I. If the difference in interest of second and the first year is Rs. 88, find out the sum.
A.Rs. 50,000 B.Rs. 60,000 C.Rs. 65,000 D.Rs. 55,000
75. A sum of money doubles in 8 years. In how many years, it will treble at S.I.
A.4 B.8 C.12 D.16
76. Rs.100 doubled in 5 years when compounded annually. How many more years will it take to get another Rs.200 compound interest?
A.10 years B.5 year C.7.5 years D.15 years
77. 1.A and B together have Rs. 1210. If 4/15 of A’s amount is equal to 2/5 of B’s amount, how much amount does B have?
A.Rs. 460 B.Rs. 484 C.Rs. 550 D.Rs. 664
78.The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
A.20 B.30 C.48 D.58
79. Two vessels of equal volume have milk and water in the ratio 3:2 and 3:7. The vessels are then mixed. Find the ratio of milk and water in the mixture.
A.9:11 B.6:9 C.3:9 D.3:3.5
80. In a certain class, the ratio of passing grades to failing grades is 7 to 5. How many of the 36 students failed the course?
A.21 B.15 C.18 D.24
81. A bus started from bus stand at 8.00am, and after 30 minutes staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus is 18mph. In return journey bus travels with 50% fast speed. At what time it returns to the bus stand?
A.10.30a.m. B.10.00a.m. C.9.30a.m. D.11.00a.m.
82. A thief is spotted by a policeman at a distance of 400 m. If the speed of the thief be 10 km/hr and that of the policeman be 12 km/hr, at what distance will the policeman catch the thief?
A.4k m B.3km C.2.4k m D.2k m
83. A skating champion moves along the circumference of a circle of radius 28m in 44 sec. How many seconds will it take her to move along the perimeter of a hexagon of side 48 m?
A.90 B.84 C.68 D.72
84. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km /hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
A.12 sec B.24 sec C. 48 sec D.60 sec
85. Two trains 100 meters and 120 meters long are running in the same direction with speeds of 72 km/hr and 54 km/hr. In how much time will the first train cross the second?
A.40 sec B. 44 sec C. 46 sec D. 48 sec
86. A train leaves station X at 5am and reaches station Y at 10am. Another train leaves station Y at 7am and reaches station X at 10:30 am. At what time do the two trains cross each other?
A.7:36 am B.7:56 am C.8:14 am D.8:56 am
87. Distance between two stations A and B is 778km. A train covers the journey from A to B at 84km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of train during the whole journey.
A.60 km/hr B.30.5 km/hr C.57 km/hr D.67.2 km/hr
88.Speed of a boat in standing water is 9 kmph and the speed of the stream is 1. 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is
A. 16 hours B. 18 hours C. 20 hours D. 24 hours
89. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:
A. 2 mph. B. 4 mph. C. 1 mph. D. 2.5 mph.
90. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
A. 40 minutes B. 1 hour C. 1 hour 15 min D. 1 hour 30 min
91. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
A.3 B.5 C.7 D.Cannot be found
92. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
A.11 days B.13 days C.20(3/17)days D.None of these
93. A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
A.22 days B.22.5 days C.20(3/17)days D.None of these
94. Aditya, Vedus and Yuvraj alone can do a job for 6 weeks, 9 weeks and 12 weeks respectively. They work together for 2 weeks. Then, Aditya leaves the job. Vedus leaves the job a week earlier to the completion of the work. The job would be completed in:
A.4 weeks B.5 weeks C.7 weeks D.None of these
95.Machine P can print one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours while machine R can print the same in 12 hours. All the machines started printing at 9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work. Approximately at what time will the printing of one lakh books be completed?
A. 3 pm B. 2 pm C. 1:00 pm D. 11 am
96.A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold ?
A. 8660 B. 8460 C. 6320 D.8640
97.A pump can fill a tank with water in 2 hours. Because of a leak, it took 2×1/3 hours to fill the tank. The leak can drain all the water of the tank in
A. 7hrs B. 14hrs C. 16hrs D.4hrs
98. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
A. 24 B. 22 C. 23 D.26
99. Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar’s age at present
A. 10 B. 16 C. 22 D.26
100. My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then, what was the age of my father and mother respectively when my brother was born ?
A. 32 yrs, 23 yrs B. 32 yrs, 29 yrs C. 35 yrs, 29 yrs D. 35 yrs, 33 yrs
Answers
1 c 26 c 51 a 76 b
2 c 27 b 52 a 77 b
3 b 28 d 53 c 78 b
4 b 29 a 54 a 79 a
5 c 30 c 55 d 80 b
6 a 31 c 56 c 81 d
7 d 32 c 57 b 82 c
8 d 33 b 58 a 83 d
9 b 34 c 59 b 84 b
10 b 35 b 60 b 85 b
11 c 36 b 61 b 86 c
12 b 37 b 62 b 87 d
13 b 38 d 63 b 88 d
14 b 39 c 64 b 89 a
15 c 40 b 65 d 90 c
16 c 41 a 66 b 91 c
17 c 42 c 67 b 92 b
18 a 43 d 68 d 93 b
19 c 44 d 69 b 94 a
20 b 45 d 70 c 95 c
21 b 46 d 71 c 96 d
22 a 47 a 72 d 97 b
23 c 48 d 73 d 98 b
24 d 49 d 74 d 99 b
25 a 50 c 75 d 100 a
2 c 27 b 52 a 77 b
3 b 28 d 53 c 78 b
4 b 29 a 54 a 79 a
5 c 30 c 55 d 80 b
6 a 31 c 56 c 81 d
7 d 32 c 57 b 82 c
8 d 33 b 58 a 83 d
9 b 34 c 59 b 84 b
10 b 35 b 60 b 85 b
11 c 36 b 61 b 86 c
12 b 37 b 62 b 87 d
13 b 38 d 63 b 88 d
14 b 39 c 64 b 89 a
15 c 40 b 65 d 90 c
16 c 41 a 66 b 91 c
17 c 42 c 67 b 92 b
18 a 43 d 68 d 93 b
19 c 44 d 69 b 94 a
20 b 45 d 70 c 95 c
21 b 46 d 71 c 96 d
22 a 47 a 72 d 97 b
23 c 48 d 73 d 98 b
24 d 49 d 74 d 99 b
25 a 50 c 75 d 100 a
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