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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Which of the following statements is correct about the cumulative production of the plant from the year 1999 to the year 2004





What is the sum of the total surface areas of all the cubes formed when a cuboid of size  5.2 m x 13 m x 39 m is cut completely into the least possible number of cubes, all of which are identical?





The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?





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?





3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?





When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?





If α, β are the roots of (x –√ 3) (x –√ 5) =√ 7, the roots of (x –α) (x –β) +√ 7= 0 are





A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in:





If a = 0.1039, then the value of √4a2-4a+1 +3a is 





Murali purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. Find out his profit percentage.





What is the minimum value of x for which the expression x3 – 7x2 + 11x – 5 gives positive values?





The angle of elevation of a ladder leaning against a wall is 600 and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:





The coordinates of a point which divide the join of A (5, 5) and (8, 5) in the ratio 2 : 1 are






Which family has the lowest average savings?





A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:





There are 6 boxes numbered 1,2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:






In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. What percentage of the poor population is illiterate?





A tank is filled in 5 hours by theree pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank ?






The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:





The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of 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?





In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?





A person can save only 8% of his income . Five years hence his income is increased by 20% and he still saves the same amount find the increase % in his expenditure.





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





In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining food last now?





A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced?





4561 + 3254 =5422 +?  






A flagstaff 17.5 m high casts a shadow of length 40.25m. The height of the building which casts a shadow of length 28.75 under similar conditions will be:





If h = 2/3 and k = 6 then k/h + 4/h2 =






If the perimeter of a square is 80, what is the area of the square?






A Started a business with 4500 and another person B joined after some period with  3,000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2:1  






270 candidates appeared for an examination, of which 252 passed. The pass percentage is:





A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?





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?





If A=x% of y and B = y% of x, then which of the following is true?






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





If x = 3 –  √5 , then the value of x2+16/x2 is equal to





H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is 2^4 x 3^5 x 5^2 x 7^2 The third number is:





Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:





If r varies directly as n and r/m = 10, then what is the value of r when m = 2.2?






A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was;





The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:





From a number of apples, a man sells half the number of existing apples plus 1 to the first customer, sells 1/3rd of the remaining apples plus 1 to the second customer and 1/5th of the remaining apples plus 1 to the third customer. He then finds that he has 3 apples left. How many apples did he have originally?





x varies inversely as square of y. Given that y=2 for x=1 The value of x for y=6 will be equal to:





A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:





Which of the following is true?





7 person can do a piece of work in 21 days. How many persons are required to do a piece of work in 3 days?





A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:











325-(12)² + 75= (?)²-68  






Find the next term in the series 123, 129, 141, 147, ______





In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?





The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:





If e varies directly as n and e/d = 10, then what is the value of e when d = 30?






If 2x = 3√32, then x is equal to :





A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6.25% p.a for 2 years. Find his gain in the transaction per year.





A shopkeeper purchased 25 items at 36 Rs per item. He spent 100 Rs on transportation of these items. What should be the selling price of each item if he wants to make 22.5% as profit?






74x 25-33x 45=?






 If s varies directly as e and s/e = 6, then what is the value of s when e = 2.2?






If logx/(a2+b2+ab) = logy/(b2+c2+bc) = logz/(c2+a2+ac) then, the value of x(a-b).y(b-c).z(c-a) is





180% of 25501 + 50% of 28999 = ?






A, B, and C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire Charges to be paid by B:





If A’s salary is 25% higher than B’s salary, how much per cent is B’s salary lower than A’s





A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km





X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?





If ( p - q) 2 = ( x – y ) 2, then x =





A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :





Two whole numbers whose sum is 72 cannot be in the ratio:





How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?





A man has nine friends, four boys and five girls. In how many ways can he invite them, if there have to be exactly three girls in the invitees?





A monkey ascends a greased pole 12 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top?






The g.c.d. of x3 + x2 – x – 1 and x2 – 1 is





Solve the simultaneous inequalities: 13x + 4 < 5x +20 andl2x+5>9x + 14.





The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?






If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be:





If a material is sold for Rs.34.80, there is a loss of 25%. Find out the cost price of the material?





Solve for real x: 6x2 + 5x - 6 ≥ 0





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:





If A = x% of y and B = y% of x, then which of the following is true?






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. What are the marks obtained by them?





If o = 4/3 and h = 6 then h/o + 4/o2 =






Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?





The number of solutions of x2 - 5|x| + 6 = 0 is





A man rows downstream at 32 km and 14 km upstream at 13kmph.the speed of the stream is:





A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?





H.C.F. of two polynomials is a + 5 and their L.C.M. is (a + 5) (a + 4) (a – 1). If one of the polynomial is a2+ 4a – 5,then the other polynomial is





The price of tea being increased by 20%, a man reduces his consumption by 20%. By how much percent will his expenses for tea be decreased?





How many 4 letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?





If 3x – 5y = 5 and x/x + y = 5/7, then what is the value of x – y ?  






Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?





If (2a + 3b)(2c – 3d) - (2a – 3b)(2c + 3d), then :





What is the percentage increase in expenditure from 1996 to 1998?






If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:





XYZ is an equilateral triangle with vertices X (6, -2), Y (2, - 1) and Z (4, -2). If ZA is one of its medians find the length of the median





40.83 x 1.02 x 1.2 =?





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





Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs. 320, what percentage of profit would he have made if he had sold the transistor at the marked price?





At what rate percent per annum will the simple interest on a sum money be 2/5 of the amount in 10 years?





45 men can do a piece of work in 20 days. How many men would be required to do the same work in 30 days?






A boat can travel with a speed of 13km/hr in still water .if the speed of the stream is 4km /hr  Find the time taken by the boat to go 68km downstream





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