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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A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

  

  

  

  

If the final amount of money that Ghosh Babu had with him was Rs. 100, what was the initial amount he had With him?

  

  

  

  

If 3x – 3x-1 – 18, then the value of xx is:

  

  

  

  

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?

  

  

  

  

  

A square of 36 cm x 36 cm is completely divided into a grid of cells of size 3 cm x 2 cm each, where 3cm is the vertical dimension of each cell and 2 cm is the horizontal dimension. What is the total number of squares that can be located in the grid?

  

  

  

  

What is the difference between the per cent profit in 1999-2000 and that in 2000-2001?

  

  

  

  

  

Harkamal purchased 8 Kgs. of grapes at the rate of Rs. 70/- per Kg. and 9 Kgs. of mangoes at the rate of Rs. 55/-per kg. How much amount did he pay to the shopkeeper?  

  

  

  

  

  

The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2. The height of the mountain is

  

  

  

  

X, Y, Z, enter into a partnership. X invests some money at the beginning y, invests 4 times  The amount after 8 months and Z invests 3 times the amount after 10 months. If the annual profit be Rs. 8500 then Z’s share is

  

  

  

  

A and B invest in a business in the ratio 3:2 if 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit 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:

  

  

  

  

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

  

  

  

  

  

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

  

  

  

  

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

  

  

  

  

What amount a man would have received on a principal of RS.4,000 after two years on simple interest @ 5 p.c.p.a.?

  

  

  

  

  

In a strike called by a union, a part of the 1500 employees of the company reported for work whilethe others were on strike. The next day, 4% of the striking workers reported for work and 6% ofthe working employees joined the strike. If number of striking workers on both days were thesame, how many workers were striking ?

  

  

  

  

√841x √64÷√25=?  

  

  

  

  

  

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

  

  

  

  

Rs.9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of income. The investment in 9% stock is:

  

  

  

  

An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

  

  

  

  

In a game of 100 points, A can give B 20 points and C 28 points. Then, B a start of 8 m and still beats him by 8 sec. The speed of B is

  

  

  

  

405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

  

  

  

  

If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day; in how many days will 16 pumps raise 1736 tonnes of water, working 9 hours a day?

  

  

  

  

968 * 445 ÷7=17230.4

  

  

  

  

  

A shopkeeper sells a badminton racket, whose marked price is Rs. 30, at a discount of 15% and gives a shuttle cock costing Rs. 1.50 free with each racket. Even then he makes a profit of 20%. His cost price per racket is:

  

  

  

  

If x=√3+1/√3-1and y=√3-1/√3+1,then the value of (x2 + y2) is:

  

  

  

  

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

  

  

  

  

7008÷ 24 + 6208÷16=?

  

  

  

  

  

The compound interest on any sum at the rate of 5% lb two years is ?512.50. Find the sum.

  

  

  

  

  

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 x varies as y2 + 2 and is equal to 36 when y = 4, find x when y = 12.

  

  

  

  

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

  

  

  

  

Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at, compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?

  

  

  

  

  

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?

  

  

  

  

  

The distance between the points (-9, 5) and (-8, -20) 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:

  

  

  

  

In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?

  

  

  

  

If x = (7 - 4√3),then the value of (x + 1/x) is:

  

  

  

  

What is the ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is?

  

  

  

  

If the ratio of sec w to cosec w is 1:7, then the ratio of tan w to cot w is

  

  

  

  

  

The monthly salaries of two persons are in the ratio of 4:7. If each receives an increase of Rs.25 in the salary, the ratio is altered to 3:5. Find their respective salaries.

  

  

  

  

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

  

  

  

  

10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In  how many days will a woman finish the work?

  

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

Mayank, Mirza, Little and Jaspal bought a motorbike for $60.00. Mayank paid one half of the sum of the amounts paid by the other boys, Mirza paid one third of the sum of the amounts paid by the other boys; and Little paid one fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?

  

  

  

  

15.5% of 850 + 24.8% of 650 = ?

  

  

  

  

  

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?

  

  

  

  

In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65. How many subjects were there in the examination?

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

What would be the compound interest obtained on an amount of 12600 Rs at the rate of 10% per annum after two years?

  

  

  

  

  

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

  

  

  

  

  

There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. The number of horizontal layers in the pile is

  

  

  

  

If log10 2=0.3010 and log10 7=0.8451, then the value of log10 2.8 is

  

  

  

  

A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?

  

  

  

  

A man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 2 men and 8 women to do the work in 2 days?

  

  

  

  

  

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

  

  

  

  

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

  

  

  

  

23.999 X 9.004 X 16.997 =?

  

  

  

  

  

In how many different ways can the letter of the word ‘AVERGE’ be arranged so that the vowels always come together?

  

  

  

  

A man was traveling on a motorcycle at the speed of 50 km/h for 2 1/2hours. Then a car full of youngster overtake him at a speed of 80 km/h. To overtake them he increased his speed to 70 km/h, but he could not overtake the car even after 2 1/2hours. How far did he travel in the total time of 4 hours?

  

  

  

  

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?

  

  

  

  

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 x + y > 4 and x < 3, then y > 1 is true.  Is this statement true?

  

  

  

  

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 ?

  

  

  

  

What is the ratio whose terms differ by 40 and the measure of which is 2/7?

  

  

  

  

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

  

  

  

  

How much water must be added to 60 litres of milk at 1 ½ litres for 20 so as to have a mixture worth 10 2/3 a litre? 

  

  

  

  

  

For Company A, in which year is the percentage increase/ decrease in the production from the previous year the highest?

  

  

  

  

  

Which of the following is equal to 3.14 x 106?

  

  

  

  

Sakshi can do a piece of work in  20 days. Tanya is 25% more efficient tha Sakshi. The number of days taken by Tanya to do the same piece of work is

  

  

  

  

  

A can contains a mixture of two liquids A and B in thye ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the initially?

  

  

  

  

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 starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. what is B's contribution in the capital?

  

  

  

  

How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

  

  

  

  

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

  

  

  

  

  

To comfortably sit in a room, every girl must be allowed a floor space of 2 sq.m. and air space of 5.5 cubic metres.  Fifty girls are to be seated comfortably in a room 10m. long.  What should be its height?

  

  

  

  

80% of p = 40% of Q and Q = X % P . Then the value of x is

  

  

  

  

A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed in the train travelling?

  

  

  

  

A man bought some shares at a price of 16 shares for Rs. 100 and sold them at a price of Rs. 10 each. Find his profit or loss percentage?

  

  

  

  

What is the slope of the line given by the equation 2h – 8 = 7 – 2a?

  

  

  

  

  

A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to Rs. 1104?

  

  

  

  

A circular park has a path of uniform width around it. The difference between outer and inner circumference of the circular path is 132m. Its width is:

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

  

  

  

  

The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the tenth year?

  

  

  

  

  

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

  

  

  

  

The ratio between rhe perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle ?

  

  

  

  

  

Two train 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

  

  

  

  

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

  

  

  

  

If log2 [log3(log2 x)]=1, then x is equal to

  

  

  

  

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

  

  

  

  

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?

  

  

  

  

  

At what approximate time between 4 and 5 am will the hands o f a clock be at right angle?

  

  

  

  

  

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