IBPS - Aptitude Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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If 2x + 3y -31, y – z - 4 and x + 2z – 11, then what is the value of x + y + z ?





If A : B =8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to:





If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone:





Which of the following value of x do not satisfy the inequality (x² - 3x + 2 > 0) at all?





If Rs. 782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4 then the first part is:





A set of cards bearing the number 200-299 is used in a game. if card is drawn at random, what is the probability that it is divisible by:





Water flows into a reservoir which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m X 0.2m) at 20kmph. In what time will the water level be 8?





In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hrs 18 min 15 seconds of watch time. What is the time gained or lost by this watch in one day?





If in a code, 52 – 36 = 97 and 46 – 78 = 1510, then how 53 – 62 can be encoded?





If 8e + 2p = 12 and y – 3p = 4, then what is the value of y?






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





Ajay spends 25% of his salary on house rent, 5% on food, 15% on travel, 10% on clothes and the remaining amount of Rs. 27,000 is saved. What is Ajay’s income?






Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:





A man can row 10 kmph in still water and the river is running at 2 kmph. If the man takes 1 hr to row to a place and back, how far is the place?





√7921 *51+374 = (?)3






A pump can fill a tank with water in 2 hours. Because of a leak, it tookhours to fill the tank. The leak can drain all the water of the tank in:





The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?





A man invested 1/3 of his capital at 7%, ¼ at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is:





P , Q and R started a business by investing Rs 120000 , Rs 135000 & Rs 150000 respectively. Find the share of each, out of the annual profit of Rs 56700





What is the percentage increase in the total number of cars sold this year when compared to the total number of cars sold in the previous year?





The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm. The radius of the square is





A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:





Cost of painting the 4 walls of a room 40ft.*15ft. At Rs.5 per square feet is Rs.7500. Find the height of the room?





30 laborers, working 7 hours a day can finish a piece of work in 18 days. If the laborers work 6 hours a day, then the number of laborers to finish the same piece of work in 30 days, will be:





(4356)1/2 ÷ 11/4=√? X6






The number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm, required to construct a wall 6m long , 5m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is





Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:





A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?





If x=1+2a+3a2+4a2+……( -1 < a < 1 ) and y=1+3b+6b2+10b3+……( -1 < b < 1 )then find 1+ab+(ab)2+(ab)3+….. in terms of x and y.





The cost price of 19 articles is equal to the selling price of 16 articles. Gain percent is:





√(12X 148÷8+21-74)= ?  






The jogging track in a sports complex is 726 metres in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in:





If the equations x2 + ax + b = 0 and x2 + bx + a = 0, have one root in common, then find the value of (a + b).





A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. The average age of the family is





A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?





If r(x) is the remainder obtained by dividing a polynomial p(x) by another polynomial q(x), then





Tarun got 30% concession on the labeled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labeled price?






What percent of 7.2 kg is 18 gms ?





A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was





If 15% of x = 20% of y, then x : y is:





Which five consecutive months have the lowest average cost per man-month under the new technique?





How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?





A truck travelling at 70 kilometres per hour uses 30% more diesel to travel a certain distance than it does when it travels at the speed of 50 kilometres per hour. If the truck can travel 19.5 kilometres on a litre of diesel at 50 kilometres per hour, how far can the truck travel on 10 litres of diesel at a speed of 70 kilometres per hour?





P ( - 4, b ) and Q ( 2, b + 2 ) are 2 points and the co-ordinates of the middle point of PQ are ( - 2, 2) . The value of b is





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?





Mary jogs 9 km at a speed of 6 km per hour. At what speed would she need to jog during the next 1.5 hours to have an average of 9 km per hour for the entire jogging session?





If  a * b – 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to:





The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?





No bird is an animal. All birds are insects (I)No insect is animal (II)No animal is insect





The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class





The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?





(3/7)*(4/9) *(2/7) * 3719 =?






In a house, there are dogs, cats and parrot in the ratio 3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7, what is the minimum of pets in the house?





The circumference of a circle is 100 cm. The side of a square inscribed in the circle is:





0.01 X 0.1 - 0.001 ÷10 + 0.01 = ?






If x2-1/x+1=4,  x=?





A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is





A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after  one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years?





Fi nd the next term in the series 123, 129, 141, 147, ______





A man can row at 5km ph in still water .if the velocity of current  is 1 km ph and it  Takes him 1   hours  to row to a place and come back ,how far is the place?





How many total numbers of not more than 20 digits that can be formed by using the digits 0 ,1 ,2 ,3 , and 4 is






Taps A and B can independently fill a tank in 6 and 10 hours . Leak C can empty a filled tank in 8 hours. On an empty tank A, B, C are opened. How long does it take to fill the tank





A certain sum of money is borrowed by a person at 8% simple interest for 4 years. If he has topay Rs. 7384 as interest, what is the total amount he has to pay?






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:





52.416 ÷ 18.72+6.28 = ?





If 0.75 : Z : : 5 : 8, then Z is equal to





(-5)(4)(2)(-1/2)(3/4)= ?





In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If the ratio is to be 1 : 2, then the quantity of water to be further added is:





The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:





In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?





Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7 : 9, how old is sachin?






23.999 X 9.004 X 16.997 =?






Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5 ?





The cost of cultivating a square field at the rate of Rs. 135 per hectare is Rs. 1215. The cost of putting a fence around it at the rate of 75 paise per metre would be





If x2 + 1/x2 = 51 , then the value of x-1/x is





In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?





If A : B = 5 : 7 and B: C = 6 : 11, then A : B : C is :





The cost of 16 packets of salt, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1kg?





A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?





Volume of a right circular cylinder is 450 cm3and its curved surfaces area is 200 cm2. Find its radius?





At a simple interest ? 800 becomes ? 956 in three years. If the interest rate, is increased by 3%, how much would ?800 become in three years?






The number which exceeds 16 % of by 42 is:





A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the work, the daily wages of B and C are:





Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is:





If (z – 5) = 4z – 8, then which of the following could be the value of z?






Find the slope of the line given by the equation y + 2 = 6/8 (c – 9)?






Four milkmen rented a pasture. A grazed 15 cows for 4months, B grazed 12 cows for 2months, C grazed 18 cows for 6 months, and D grazed 16 cows for 5 months. If A’s share of rent is Rs 1,020, what is C’s share of rent?





The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?





13 16 21 27 39 52 69






The circumference of two circles is 88 metres and 220 metres respectively. What is the difference between the area of the larger circle and the smaller circle?






A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?





If an arc of 600 on circle I has the same length as an arc of 450 on circle II, what is the ratio of thearea of circle I to that of circle II ?





Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.





A general wishes to draw up his 36581 soldiers in the form of a solid square. After arranging them, he found that some of them are left over. How many are left?





Mohan deposits Rs.150 on the first of every month starting from 1st Jan1985, in the recurring deposit scheme of a bank which allows simple interest @ 6% p.a.on the sum standing to his credit at the end of each month. What is the amount, Mohan is entitled to on 31st Dec, 1985





The length of a ladder is exactly equal to the height of the wall it is resting against. Iflower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m awayfrom the wall, the upper end of the ladder coincides with the top of the wall. Then,the height of the wall is:





If 3x – 4y + z = 7; 2x – z + 3y = 19; x + 2y + 2z = 24, then what is the value of z ?





The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:





What would be the compound interest obtained on an amount of Rs. 6,350/- at the rate of 14 p.c.p.a after two years?






The population of city is 80,000. If it increases 11% in the first year and decreases by 9% in the second year, what will be the population of the city after two years?






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