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 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?

  

  

  

  

How much of 200 Rs / kg type tea should be mixed with 12 kg of 100 Rs / kg type tea to make 160 Rs / kg of branded tea ?

  

  

  

  

The price of a t.v. set worth Rs. 20,000 is to be paid in 20 installments of Rs. 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 best instalment covering the interest as well will be

  

  

  

  

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 ?

  

  

  

  

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

  

  

  

  

If the S.P of Rs. 24 results in a 20% discount on list price. What S.P. would result in a 30% discount on list price?

  

  

  

  

By how much does √12 + √18 exceed √3 + √2 ?

  

  

  

  

A sum of money invested at compound interest amounts to Rs. 4624 in 2 years and to Rs. 4913 in 3 years. The sum of money is:

  

  

  

  

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?

  

  

  

  

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 x + y = 2, xy = 1, then the values of x and y are respectively

  

  

  

  

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?

  

  

  

  

  

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:

  

  

  

  

At a certain fast food restaurant, Brian can buy 3 burgers, 7 shakes, and one order of fries for Rs. 120 exactly. At the same place, it would cost Rs. 164.5 for 4 burgers, 10 shakes, and one order of fries. How much would it cost for an ordinary meal of one burger, one shake, and one order of fries ?

  

  

  

  

If ( p - q) 2 = ( x – y ) 2, then x =

  

  

  

  

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

  

  

  

  

  

The boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls are adults, the percentage of students who are not adults is:

  

  

  

  

√00004761 equals

  

  

  

  

A man bought a horse and a carriage for 3000. He sold the horse at a gain of 20% and the carriage at a loss 10%, thereby gaining 2% on the whole. Find the cost of the horse.

  

  

  

  

  

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 ?

  

  

  

  

If a/3 = b/4 = c/7, then a + b + c /c is equal to:

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

A rectangle has width a and length b. If the width is decreased by 20% and the length is increases by 10%, then what is the area of the new rectangle in percentage compared to ’ab’ ?

  

  

  

  

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean 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:

  

  

  

  

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:

  

  

  

  

325-(12)² + 75= (?)²-68  

  

  

  

  

  

Kamya purchased an item of Rs. 46,000 and sold it at loss of 12 per cent. With that amount she purchased another item and sold it at a gain of 12 per cent. What was her overall gain/loss?

  

  

  

  

  

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

  

  

  

  

  

A wholesaler allows a discount of 10% on cash payment. The value of the article for which the customer paid Rs. 180 is-

  

  

  

  

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?

  

  

  

  

  

12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

  

  

  

  

The curved surface area of a cylinder pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height

  

  

  

  

If 4x + 3y = 18xy and 2x – 5y + 4xy = 0, then the value of x and y will be respectively:

  

  

  

  

A shopkeeper sold a T.V. set for Rs.17,940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered?

  

  

  

  

  

If u(m) =3m2+ 2 then what is the value of u(m + 4)?

  

  

  

  

  

The speed of the boat in still water in 12 kmph. It can travel downstream through 45 kms in 3 hrs. In what time would it cover the same distance upstream?

  

  

  

  

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

  

  

  

  

If p and q are real numbers; p ≠  0, then the equation 3x – 5 + q = px + 1 has no solution, if

  

  

  

  

How many factors of 25*36*52 are perfect squares?

  

  

  

  

A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary? I. Number of toys sold. II. Cost price of each toy.

  

  

  

  

  

Find the average of the following set of scores.746 1020 321 12 63 428 226 144

  

  

  

  

  

A 210m long train takes 6s to cross a man running at 9 kmph in a direction opposite to that of the train. What is the speed of the train? (in kmph)

  

  

  

  

  

If 2x + 3y -31, y – z - 4 and x + 2z – 11, then what is the value of x + y + z ?

  

  

  

  

A person travels from A to B at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?

  

  

  

  

The value of (log9 27+log8 32) is

  

  

  

  

Three friends A, B and C run around a circular track of length 120 metres at speeds of 5 m/s, 7 m/sec and 15 m/sec, starting simultaneously from the same point and in the same direction. How often will the three of them meet?

  

  

  

  

675.456 + 12.492 X 55.671 = ?

  

  

  

  

  

A began a business with Rs. 85, 000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

  

  

  

  

If 13x + 1 < 2?z , and z+3 =5y then

  

  

  

  

A shopkeeper purchased 150 identical pieces of calculators at the rate of Rs. 250 each. He spent an amount of Rs .2500 on transport and packing. He fixed the labeled price of each calculator at Rs. 320. However, he decided to give a discount of 5% on the labeled price. What is the percentage profit earned by him?

  

  

  

  

  

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per  annum is:

  

  

  

  

Of the four number, whose average is 60, the first is one-fourth of the sum of the last three. The first number is:

  

  

  

  

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

  

  

  

  

Solve for real x: 6x2 + 5x - 6 ≥ 0

  

  

  

  

The currencies in countries X and Y are denoted by Xs. and Ys. respectively. The exchange rate in 1990 was 1 Xs. = 0.6 Ys. The price level in 2006 in X and Y are 150 and 400 respectively with 1990 as a base of 100. The exchange rate in 2006, based solely on this purchasing power parity consideration, is 1 Xs.=

  

  

  

  

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?

  

  

  

  

There are two sections A and B of a class, consisting of 36 and 44 students’ respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.

  

  

  

  

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

  

  

  

  

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:

  

  

  

  

160% of 250+?=120% of 400

  

  

  

  

  

If 2x = 3√32, then x is equal to :

  

  

  

  

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?

  

  

  

  

  

The ratio of the present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years?

  

  

  

  

45% of816 - 23% of? = 240.7  

  

  

  

  

  

64% of 562.8 = 25% of ?

  

  

  

  

  

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

  

  

  

  

A sum of Rs. 2600 is lent out I two parts in such a way that the interest on one part at 10% for 5 years is equal to that on another at 9% for 6 years. The sum lent out at 10% 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?

  

  

  

  

What is the slope of the line given by the equation 4g - 5 = 7 - 2e?

  

  

  

  

  

Nikhilesh invested certain amount in three different schemes A, B and C with the rate of interest 10 p.c.p.a., 12 p.c.p.a. and 15 p.c.p.a.. respectively. If the total interest accrued in one year was ? 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount Invested in scheme B, what was the amount invested in scheme B?

  

  

  

  

  

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

  

  

  

  

  

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is;

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

52.416 ÷ 18.72+6.28 = ?

  

  

  

  

If Rs. 4,601 were distributed equally among 37 people, Rs. 13 was left out. How much amount did each person get? 

  

  

  

  

  

A 120m-long train crosses a 30-long bridge in 7.5 seconds. What is the speed of that train in km/h?

  

  

  

  

  

A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A’s speed is equal to:

  

  

  

  

A contractor undertakes to built a walls in 50 days. He employs 50 peoples for the same. However after 25 days he funds that only 40% of the work is complete. How many more man need to be employed to complete the work in time ?

  

  

  

  

  

The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then :

  

  

  

  

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?

  

  

  

  

Let N = 553 + 173 - 723. N is divisible by:

  

  

  

  

If 20 – 4 = 10 and 30 – 6 = 10 then 40 – 8 = ?

  

  

  

  

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.

  

  

  

  

19 26 40 68 124 (?) Find the nex number in the series.

  

  

  

  

  

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

There are three cities A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from on city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?

  

  

  

  

The average speed of a car is 1(4/5)  times the average speed of a bus. A tractor covers 575 km in 23 hours. How much distance will the car in 4 hours if the speed of the bus is twice speed of the tractor?

  

  

  

  

  

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

  

  

  

  

if the volume of a cube is 729 cm3, then the surface area of the cube will be

  

  

  

  

Complete the series 1, 3, 4, 13, 53, ___

  

  

  

  

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

  

  

  

  

  

The number of revolutions made by a wheel of diameter 56 cm in covering a distance of 1.1 km is: (use π= 22/7)

  

  

  

  

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

  

  

  

  

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

  

  

  

  

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and 10 months, a profit of Rs. 378 is divided among them. What is B’s share?

  

  

  

  

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