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.
Start Test

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A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

  

  

  

  

A bag contains 50p, 25p and 10p coins in the ratio 5 : 9 : 4 amounting to Rs.206. Find the number of coins of 10p?

  

  

  

  

16 men can complete a work in 35 days. In many days can 28 men complete the same piece of work?

  

  

  

  

  

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?

  

  

  

  

  

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was again of Rs. 4005, then what will be the share of Kamal?

  

  

  

  

In a 100m race A cover the distance in 36 seconds and B in 45 seconds. In this race A beats B by

  

  

  

  

From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the uncut to the cut portion?

  

  

  

  

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:

  

  

  

  

(98x198)÷(48x148)=?

  

  

  

  

  

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

  

  

  

  

  

If a man rows at the rate of 5 km ph in still water and his against the current is 3.5km ph, then The man’s rate along the current is:

  

  

  

  

0.01 X 0.1 - 0.001 ÷10 + 0.01 = ?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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%?

  

  

  

  

How many plants will be there in a circular bed whose outer edge measure 30 cms, allowing 4 cm2 for each plant ?

  

  

  

  

  

if (64)2 - (36)2 = 10x, then x = ?

  

  

  

  

A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already half full and both the tanks are opened together the tank will be:

  

  

  

  

(21 .35)2 +(12.25)2 =?

  

  

  

  

  

A and B weave a carpet in 10 days and 15 days respectively. They begin to work together but B leaves after 2 days. In what time will A complete the remaining work

  

  

  

  

The area of the triangle whose vertices are (a, a), (a + 1, a + 1), (a + 2, a) is :

  

  

  

  

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. What is the present age of the husband?

  

  

  

  

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?

  

  

  

  

One of the editors must work completely alone for the whole day in order to prevent confusion and disorder. If no other editor can afford to lose his available time, then the only possible editor privileged with working alone is

  

  

  

  

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

  

  

  

  

The average of 10 numbers is 40.2. Later it is found that two  numbers have been wrongly copied. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.

  

  

  

  

  

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?

  

  

  

  

Three circles touch each other externally. If xy = 15,yz = 10, xz = 21 Find the radius of each circle

  

  

  

  

In a watch, the minute hand crosses the hour hand for the third time exactly after every 34hrs., 18 min., 15 seconds of watch time. What is the time gained or lost by this watch in one day?

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

n4 − 20n2 + 4 = k where k is a prime number and n is an integer. How many such k exist?

  

  

  

  

  

In a partnership, A invests 1/6 of the capital for 1/6 of the time B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for whole time find A’s share of the total profit of 2,300  

  

  

  

  

  

The H.C.F and L.C. M. of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is:

  

  

  

  

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 rectangular plot 15 m x10 m, has a path of grass outside it. If the area of grassy pathway is 54 m2, find the width of the path.

  

  

  

  

  

The strength of a class is 36 of whom 33.3% are graduates and others are non-graduates. There are girls of whom 70% are non graduates. How many male graduates are there in the class.

  

  

  

  

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

  

  

  

  

What is the ratio of the number of aspirants appearing for the banking exam from Institute A,C, and E together to the number of aspirants appearing for the exam from Institute B, D and F together?

  

  

  

  

A man XY of height 1.75 cm stands at a distance of 4 metres from a pillar AB. If the pillar l is at the height of 5.25 m from the ground, what is the length of the man’s shadow on the ground?

  

  

  

  

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

  

  

  

  

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

  

  

  

  

  

Arun borrowed a sum of money from  Jayant at the rate of 8% per annum simple interest for the first four years; 10% per annum for the next six years and 12% per annum for the period beyond ten years. If he pays a total of ?12,160 as interest only at the end of 15 years, how much money did he borrow?

  

  

  

  

  

The sum of the radius of the base and height of a solid cylinder is 40m. If the total surface area of the cylinder is 1760 m2 its volume is:

  

  

  

  

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:

  

  

  

  

The H.C.F. of 2923 and 3239 is :

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

The points of intersection of the circle x2 +y2=34 and line y=5

  

  

  

  

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 C.P. of an article is 40% of the S.P. The percent that the S.P is of C.P is:

  

  

  

  

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

  

  

  

  

  

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

  

  

  

  

1369 1521 1681 1849 ?

  

  

  

  

  

3.14% of 1250 - 1.5% of 2500 =? – 1.55

  

  

  

  

P lent Rs.600 to Q for 2 years and Rs.150 to R for 4 years and received altogether from both Rs.90 as interest. Find the rate of interest, simple interest being calculated

  

  

  

  

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

  

  

  

  

How many spherical bullets can be made out of lead cylindrical 15 cm high and with base radius 3 cm, each bullet being 5 mm in diameter

  

  

  

  

A man invests Rs. 3000 at a rate of 5% per annum. How much more should he investat a rate of 8%, so that he can earn a total of 6% per annum?

  

  

  

  

Manoj sold and article for Rs. 15,000. Had he offered a discount of 10% on the selling price he would have earned a profit of 8%. What is the cost price?

  

  

  

  

  

6, 12, 48, 100, 384, 768, 3072 Find out the wrong number in the series.

  

  

  

  

  

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:

  

  

  

  

If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?

  

  

  

  

A and B play a game where each is asked to select a number from 1 to 5. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is:

  

  

  

  

7999.99+72x49.99=?

  

  

  

  

  

Angle 'N. of the quadrilateral ABCD is 260 less than angle B. Angle B is twice angle C and angle C is 100 more than the angle D. What would be the measure of angle A?

  

  

  

  

  

I buy a 20% stock of face value 50/- at 45/- and sell it at 55/-. A year later, what is my yield

  

  

  

  

A watch ticks 90 times in 95 secs. And another watch ticks 315 times in 323 secs. If they start together, how many times will they tick together in first hour?

  

  

  

  

√571536/42 * ?=5850

  

  

  

  

  

Pure milk cost  3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at  per litre. How many litres of water does he add?

  

  

  

  

  

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:

  

  

  

  

A boy goes to his school form his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is:

  

  

  

  

Let x1, x2, ..., be positive integers in A.P. such that x1 + x2 + x3 = 12 and x4 + x6 = 14. Then x5 is

  

  

  

  

The ratio between the rate of walking of x and y is 2:3. If the time taken by B to cover a certain distance is 24min, to cover the same distance A will take:

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 7/10. What is the original fraction?

  

  

  

  

  

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 car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?

  

  

  

  

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

  

  

  

  

  

(logb a X logc b X loga c) is equal to

  

  

  

  

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit

  

  

  

  

(16)²- 5³ + √169 = (?)²  

  

  

  

  

  

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

  

  

  

  

A box contains 9 red toys, 7 green toys and 9 blue toys. Each ball is of a different size. The probability that the red ball being selected is the smallest red toy, is:

  

  

  

  

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?

  

  

  

  

Two shopkeepers announce the same price of Rs. 700 for a sewing machine. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount, charges…………less than the other shopkeeper.

  

  

  

  

Given √5 = 2.2361, √3 = 1.7321, then 1/√5 - √3 is equal to;

  

  

  

  

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

  

  

  

  

A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?

  

  

  

  

If the income of the company in the year 2007 was Rs. 45 lakhs, what was the expenditure of the company in the year?

  

  

  

  

  

A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 2/5 of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time, each persons now working 9 hours a day.

  

  

  

  

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

  

  

  

  

Complete the series 25, 125, 36, 216, 49, ___

  

  

  

  

What is the respective ratio of the students having Finance as specialisation to that of students having HR as specialisation?

  

  

  

  

  

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

  

  

  

  

13 16 21 27 39 52 69

  

  

  

  

  

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

  

  

  

  

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? 

  

  

  

  

  

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