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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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?

  

  

  

  

Find the number of triplets of real numbers (x, y, z) which satisfy (x + y)3 = z (y + z)3 = x (z + x)3 = y

  

  

  

  

  

If the interest on Rs. 800 exceeds that on Rs. 600 by Rs. 15.50 in 6 months, find the rate percent p.a

  

  

  

  

The sum of the number of boys and girls in a school is 150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is:

  

  

  

  

A test has 50 questions. A student scores 1 mark for a correct answer, -1/3 for a wrong answer,and –1/6 for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student cannot be less than

  

  

  

  

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

  

  

  

  

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 x = 1 – q and y = 2q + 1, then for what value of q, x is  equal to y?

  

  

  

  

A man can row three-quarters of a kilometer against the stream in 11 ¼ minutes. The speed (in km/hr) of the man in still water is:

  

  

  

  

In how many ways can the letters of the word ’RUMOUR’ be arranged

  

  

  

  

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is

  

  

  

  

  

Mohan deposits Rs.150 on the first of every month starting from 1st Jan1985, in the recurring deposit scheme of a bank which allows simple interest @ 6% p.a.on the sum standing to his credit at the end of each month. What is the amount, Mohan is entitled to on 31st Dec, 1985

  

  

  

  

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first being 10%. What was the second discount rate?

  

  

  

  

  

33 39 57 87 129 (?)

  

  

  

  

  

Four milkmen rented a pasture. A grazed 15 cows for 4months, B grazed 12 cows for 2months, C grazed 18 cows for 6 months, and D grazed 16 cows for 5 months. If A’s share of rent is Rs 1,020, what is C’s share of rent?

  

  

  

  

A man can row at 5km ph in still water .if the velocity of current  is 1 km ph and it  Takes him 1   hours  to row to a place and come back ,how far is the place?

  

  

  

  

Let x and y be consecutive integers. Suppose m be the number of solutions of x3 − y3 = 3k2 and n be the number of solutions of x3 − y3 = 2t2,where k, t are integers. Then m + n equals:

  

  

  

  

  

If x=2+22/3+21/3, then which of the following is true?

  

  

  

  

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

  

  

  

  

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

  

  

  

  

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?

  

  

  

  

Three pencils , four erasers and two sharpeners together cost Rs. 10.50. Two pencils one eraser and three sharpeners together cost Rs. 9.50. How much does each eraser cost?

  

  

  

  

Deepa bought a calculator at 30% discount on the listed price. Had she not got the discount, she would have paid  82.50 extra. At what price did she buy the calculator ?

  

  

  

  

  

The length of a ladder is exactly equal to the height of the wall it is resting against. Iflower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m awayfrom the wall, the upper end of the ladder coincides with the top of the wall. Then,the height of the wall is:

  

  

  

  

171.995 x 14.995 ÷ 25 = ?

  

  

  

  

  

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.

  

  

  

  

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?

  

  

  

  

  

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 1 + 2 + 22 + 23 +.......+ 250 is divided by 7, what will be the remainder?

  

  

  

  

If ( p - q) 2 = ( x – y ) 2, then x =

  

  

  

  

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

  

  

  

  

The fourth proportional to 5, 8, 15 is:

  

  

  

  

If √18x14xX=84 then x equals:

  

  

  

  

At what coordinates does the graph of 4c+ 6 = d - 1 intersects the c axis?

  

  

  

  

  

4.59 x 1.8 ÷3.6 + 5.4 of 1/9 – 1/5 =?

  

  

  

  

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

  

  

  

  

20 litres of a mixture contains milk and water in the ratio 5 : 3. If 4 litres of this mixture be replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be:

  

  

  

  

If a + b + c = 13, a2 + b2 + c2 = 69, then find ab + bc + ca.

  

  

  

  

If x = 1 – q and y = 2q + 1, then for what value of q, x is  equal to y?

  

  

  

  

The sales of a company increased for two years by 10% each year and in the third year it decreased by 5%. Again, it increased by 10% each year for two years and then it decreased by 5% in the third year. What will be the effect from 1997-2001? (Give approximate answer)

  

  

  

  

  

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:

  

  

  

  

On a sum of money, the simple interest for 2 years is Rs. 660, while the compound interest is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is:

  

  

  

  

In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hrs 18 min 15 seconds of watch time. What is the time gained or lost by this watch in one day?

  

  

  

  

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

  

  

  

  

  

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:

  

  

  

  

Spheres A and B have their radii 40 cm and 10 cm respectively. The ratio of the surface area of A to the surface area of B is

  

  

  

  

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.

  

  

  

  

The dimensions of a room are 10 m × 7m ×5 m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1 m × 3m, one window is of size 2 m× 1.5 m and the other two windows are of size 1 m × 1.5 m. The cost of painting the walls at Rs. 3 per m2 is

  

  

  

  

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?

  

  

  

  

2418.065 + 88 ÷ 14.2 X 6 = ?

  

  

  

  

  

If 8a + 4b = 11 and 2a + 4g = 5. The value of b = 2. You need to find the value of a and g.

  

  

  

  

  

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

  

  

  

  

Rs 4830 is divided among Abhishek, Dishant and Prashant such that if Abhishek's share diminishes by Rs 5, Dishant's share diminishes by Rs 10 and Prashant's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find the Dishant's original share?

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

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:

  

  

  

  

The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class

  

  

  

  

From 7 men and 5 ladies a committee of 4 is to be formed. If Mrs. X is not willing to join the committee in which Mr.Y is a member whereas Mr. Y is willing to join the committee only if Mrs. Z is included, how many such committees in all are possible?

  

  

  

  

A train crosses a platform 100 m long in 60 sec at a speed of 45 km/hr. the time taken by the train by the train to cross an electric pole is:

  

  

  

  

An automobile financier claims to be leading 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:

  

  

  

  

The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?

  

  

  

  

What is the minimum length of a string with which one can surround a triangle of area 36√3 cm?

  

  

  

  

What will be the difference between simple and compound interest @ 10% per annum on a sum of Rs. 1000 after 4 years?

  

  

  

  

  

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?

  

  

  

  

  

There are 8 Orange, 6 White and 7 Black pens in a Parul Bag. Parul picked up randomly a pen. What is the probability that it is neither orange nor white?

  

  

  

  

√(12X 148÷8+21-74)= ?  

  

  

  

  

  

160% of 250+?=120% of 400

  

  

  

  

  

If fresh grapes contain 80% water and 20% pulp, by weight, and 10 kg of fresh grapes yield 2.5 kg of dry grapes, then find the percentage of pulp. by weight, in dry grapes.

  

  

  

  

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?

  

  

  

  

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs. 100 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay:

  

  

  

  

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?

  

  

  

  

If 4x + 5y = 83 and 3x/2y = 21/22 how much is y – x

  

  

  

  

  

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

  

  

  

  

  

√00004761 equals

  

  

  

  

By selling 75 toys a shopkeeper gains the selling price of 25 toys. Find his gain percent

  

  

  

  

Garima purchased a briefcase with an additional 10% discount on the reduced price after deducting 20% on the labeled price. If the labeled price was Rs. 1400, at what price did she purchase the briefcase?

  

  

  

  

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

  

  

  

  

A shopkeeper buys pencils at 9 for Rs. 16 and sells them at 11 for Rs. 22. Find out his loss or gain percentage?

  

  

  

  

IN how many years, Rs. 150 will produce the same interest @ 8% as Rs. 800 produce in 3 years@ 4(1/2)%?

  

  

  

  

If X and Y are positive integers and X + Y = 1, what is the least value of (X+1/X)2 + (Y+1/Y)2 ?

  

  

  

  

A pump can fill a tank with water in 2 hours. Because of a leak, it tookhours to fill the tank. The leak can drain all the water of the tank in:

  

  

  

  

What percentage of numbers from 1 to 70 has 1 or 9 in the unit's digit?

  

  

  

  

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 :

  

  

  

  

If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?

  

  

  

  

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

  

  

  

  

  

A set of cards bearing the number 200-299 is used in a game. if card is drawn at random, what is the probability that it is divisible by:

  

  

  

  

A certain sum of money is borrowed by a person at 8% simple interest for 4 years. If he has topay Rs. 7384 as interest, what is the total amount he has to pay?

  

  

  

  

  

Find the co-ordinates of the foot of the perpendicular from point (5,7) on the line whose equation is: x + 7y - 10 = 0.

  

  

  

  

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?

  

  

  

  

Ajay spends 25% of his salary on house rent, 5% on food, 15% on travel, 10% on clothes and the remaining amount of Rs. 27,000 is saved. What is Ajay’s income?

  

  

  

  

  

Rajeev buys goods worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

  

  

  

  

(47.5*6* 8) ÷ 12-38=?  

  

  

  

  

  

2 1/9 * 1 2/19 ÷ 2 ? =?-1½  

  

  

  

  

  

What is the average mark obtained by the six students in Philosophy out of 75?

  

  

  

  

  

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

  

  

  

  

A man sold 18 cots for Rs. 16,800, gaining thereby the cost price of 3 cots. The cost price of cot is:

  

  

  

  

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

  

  

  

  

11.6 +9.28 ÷ 0.464 – 0.2828 + 0.07 - ?

  

  

  

  

A boat covers a certain distance downstream in 1 hour, while it comes back in 1 ½ hours. If the speed of the stream be 3 kmph what is the speed of the boat in still water?

  

  

  

  

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?

  

  

  

  

  

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