### IBPS - Aptitude Test

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A and B are two stations 300 km apart. Two trains T1 and T2 start from A and B respectively, towards each other at the same time. T1 reaches B nine hours and T2 reaches A four hours after they meet. Find the difference between the speeds of T1 and T2

A person spends 65 per cent of his capital on machines and 22 per cent on raw materials. If 20 per cent of what he spent on machines is Rs 1300, then how much did he spend on machines and material (in rupees)?

How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.

In how many different ways can the letters of the word ‘BLOATING’ be arranged?

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:

If ( p - q) 2 = ( x – y ) 2, then x =

The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:

A closed wooden box of thickness 0.5 cm and length 21 cm, width 11 cm, and height 6 cm, is panted on the inside. The cost of painting is Rs 70. What is the rate of painting in rupees per sq. cm?

A man completes 5/8 of a job in 10 days. At this rate, how many more days will it takes him to finish the job

The distance between the points (3, -4) and (3, 3) is

[148-{28-58}]≥(?)

Ganeshi's monthly income is twice that of Jassi's monthly income. Two-third of Jassi's monthly income is equal to Sukhvinder’s monthly income. If Sukhvinder’s annual income is Rs. 2.34 lacs. What is Ganeshi’s monthly income?(In some cases annual income and in some cases monthly income is given.)

What will be the area of a semi-circle whose perimeter is 36cm?

Madhu has received admission in all schools listed above. She wishes to select the highest overall ranked school whose a) annual tuition fee does not exceed \$23,000 and b) median starting salary is at least \$70,000. Which school will she select?

A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?

Milind takes as much time in running 15 metres as a car takes in covering 40 metres. What will be the distance covered by Milind during the time the car covers 2 km?

The average age of A and B is 20-years. If C were to replace A, the average would be 19 and if C were to replace B, the averge wouldbe21. What are the age ofA, Band C?

A candidate appearing for an examination has to secure 35% marks to pass. But he secured only 40 marks and failed by 30 marks. What would be the maximum marks of test?

If  x *y=x2 + y2 – xy, then the value of 9*11 is:

[log(a2/bc)+log(b2/ac)+log(c2/ab)] is equal to

The price of a T.V. set worth F 20,000 is to paid in 20 instalments of Z 1000 each. If the rate of interest be 6% per annum, and the first instalment be paid at the time of purchase, then the value of the last instalment covering the interest as well will be

749 -325 -124 / 1254 – 1100 =?

A certain amount was divided between A and B in the ratio 4 : 3. If B’s share was Rs. 4800, the total amount was:

A Rs. 35000 crore JSW Steel Plant was inaugurated in November 2008 in ----

In a 100 m race, A can give B 10 m and C 28 m. in the same race B can give

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

A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point c midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?

A car travelling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 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 ?

The present population of a country estimated to be 10 crores is expected to increase to 13.31 crores during the next three years. The uniform rate growth is :

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

A well 20m in diameter is dug 15m deep and earth is spread all around a width of 5m to form an embankment. Find the height of the embankment.

If a1 = 1 and an+1 = 2an + 5, n = 1, 2 ...., then a100 is equal to :

P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?

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?

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A number when increased by 30% give 78 what is the number?

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?

Find the compound interest in Rs.2400 for 2 1/2 years at 5 % p.a.,interest being compounded annually.

Water flows at the rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm?

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?

Find the number of pairs of real numbers x, y such that (x2 + 8x +17)(y2 − 2y + 6) = 5

The value of log(-1/3) 81 is equal to

A 70 cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. How many centimeters will the shorter piece be ?

85 kg of a mixture contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3 : 1 ?

A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?

A man invests Rs. 4400 in stock at 110 and sells when the stock rises to 119. What is profit?

If a, b and c are the sides of a triangle and a4 + b4 + 2a2b2 = c4, then the triangle is

If (x + z) (x – 2y + z) = (x – z)2, where x, y and z are all real and distinct, then

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

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

In the adjoining figure, AC + AB = 5 AD and AC - AD = 8. The area of the rectangle ABCD is:

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3, and 4, if repetition of digits is allowed?

Two boats, traveling at 5 and 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms) one minute before they collide

A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?

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?

What was the total sales revenue in 1996

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

Mr. Amin borrowed some money from Mr Vishwas. The of interest for first two years is 8% p.a., for the next tit years is 11 % p.a. and for the period beyond 5 years I p.a. Mr Vishwas got an amount of 210920 as an intere the end of eight years. Then what amount was borrowed  MrAmin?

The Ratio of Science and Arts students in a college is 4:3. If 14 Science students shift to Arts then the ratio becomes 1:1. Find the total strength of students in both science and arts together

Two urns contain 5 white and 7 black balls and 3 white and 9 black balls respectively. One ball is transferred to the second urn and then one ball is drawn from the second urn. Find the probability that the first ball transferred is black, given that the ball drawn is black?

The perimeter of a right-angled triangle is 60 cm. Its hypotenuse is 26 cm. The area of the triangle is

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as intrest at 4.5%per annum of simple interest?

Two different teams with four students each were training for an international math contest. The students were given an assessment exam and their scores were ranked. What is the probability that the four best scores come from only one of the teams assuming that no two students got the same score?

The ratio between the whole expenses on taxes for every year and the entire expenses on fuel and transports for every year is around

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:

If 5√5 x 53 + 5-3/2 = 5a+2, then the value of a is:

The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?

Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

A firm of readymade garment? makes both men's and women's shirts. Its average profit is 6% of the sales. Its profit in men's shirts average 8% of the sales  and women's shirts comprise 60% of the output. The average profit per sale rupee in women shirts is

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

A car travels a distance of 120 Km at the rate of 30 Km/h. It covers the nest 150 Km at the rate of 25 km/h and the last 90 Km   of its journey at the speed of 18 Km/h. what is the average speed of the car?

How many litres of pure acid are there in 8 litres of a 20% solution?

A, B and C went to buy ration from a wholesale market. They had a combined sum of Rs 900. A spent 80%, B spent 70% and C spent 75%of their respective amounts. Now the ratio of amounts left with them is 4 : 9 : 10. Find the ratio of amounts they had in the beginning.

If x2-1/x+1=4,  x=?

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:

The compound interest on a sum of money for 2 years in Rs. 832 and the simple interest on the same sum for the same period is Rs. 800. The difference between the compound interest and the simple interest for 3 years will be:

A, B and C enter into partnership. A invests some money at the beginning. B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27,000, C’s share 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?

If the area of a square increases by 69%, then the side of the square increases by

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. what is the length of the of the fast train

The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by:

What percent of 7.2 kg is 18 gms ?

If x% of 500 = y% of 300 and x% of y% of 200 = 60, then x = ?

The present ages of Chetna and Shikha are in the ratio of 5 :7 respectively. After 7 years, their ages will be in the ratio of 11:14 respectively. What is the difference between their ages?

10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days?

The profit earned after selling a T-shin for Rs. 575/- is the same as loss incurred after selling the same T-shirt for Rs. 295/-. What is the cost price of the T-shirt?

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

Let tan θ = tan 10 − tan 50 + tan 70 then θis ?( all angles in degress)

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 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

The difference between a discount of 50 % on Rs. 500 and two successive discounts of 45 % and 5% on the same amount is

345/23 /5 = ?

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:

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

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?

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?

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

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