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

  

  

  

  

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in:

  

  

  

  

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

  

  

  

  

If 4x + 5y = 83 and 3x/2y = 21/22, then y-x = ?

  

  

  

  

Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs. 320, what percentage of profit would he have made if he had sold the transistor at the marked price?

  

  

  

  

  

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?

  

  

  

  

The length of a rectangle is 18 cm and its breadth is 10 cm. When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same?

  

  

  

  

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 car travels at an average of 50 miles per hour for 212 hours and then travels at a speed of 70 miles per hour for 112 hours. How far did the car travel in the entire 4 hours?

  

  

  

  

74x 25-33x 45=?

  

  

  

  

  

The cost of 8 Sharpeners and 12 Pens is Rs. 76/- What is the cost of 20 Sharpeners and 30 Pens?  

  

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

If the side of a square is increased by 3 cm., the area increases by 33 cm. The side of the square is

  

  

  

  

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6.25% p.a for 2 years. Find his gain in the transaction per year.

  

  

  

  

Rajesh walks to and fro to a shopping mall. He spends 30 minutes shopping. If he walks at speed of 10 km an hour, he returns to home at 19.00 hours. If he walks at 15 km an hour, he returns to home at 18.30 hours. How fast must he walk in order to return at 18.15 hours?

  

  

  

  

The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

  

  

  

  

Of an amount, 20% of 25% of 30% is Rs. 75. Then what is the original number?

  

  

  

  

  

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 ?

  

  

  

  

There are 5 duplicating machines in an office. The fastest of the machines makes P copies in 10 hours and the slowest of the machines makes P copies in 11 hours. If each machine makes P copies then the average time per machine cannot be

  

  

  

  

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

  

  

  

  

If 2p + 3q = 18 and 2p – q  =2, then 2p + q =?

  

  

  

  

Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7 : 9, how old is sachin?

  

  

  

  

  

A money lender finds that due to a fall in the annual rate of interest from 8% to 7(3/4)%, his yearly income diminishes by Rs. 61.50. His capital is

  

  

  

  

If santa can walk a certain distance in 200 days when he rests 18 hours each day; how long will it take to walk twice the distance twice as fast and the rest half as long each day ?

  

  

  

  

√00004761 equals

  

  

  

  

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

  

  

  

  

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)?

  

  

  

  

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:

  

  

  

  

√841x √64÷√25=?  

  

  

  

  

  

If (2a + 3b)(2c – 3d) - (2a – 3b)(2c + 3d), then :

  

  

  

  

If 75% of a number is added to 75, the result is the number itself, then the number is

  

  

  

  

Simplify the expression (1+i)6+(1+i)4 .

  

  

  

  

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?

  

  

  

  

If √2n = 64, then the value of n is:

  

  

  

  

How is my father’s wife’s grandfather’s only child’s sons is related to me?

  

  

  

  

Difference between the compound interest and the simple interest accrued on an amount of Z 18000, in two years was ?405 What was the rate of interest p.c.p.a?

  

  

  

  

  

What is 25% of 25% equal to?

  

  

  

  

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

  

  

  

  

The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?

  

  

  

  

  

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?

  

  

  

  

If f (x+(y/8), x-(y/8)) = xy, then f (m, n) + f (n, m) = 0

  

  

  

  

The cost of cultivating a square field at the rate of Rs. 135 per hectare is Rs. 1215. The cost of putting a fence around it at the rate of 75 paise per metre would be

  

  

  

  

What is the ratio whose terms differ by 50 and the measure of which is 3 / 5

  

  

  

  

Mr. Bagdi purchased an Air Conditioner for Rs. 12,000/- and sold it for Rs. 15,000/-. What was the profit percentage?

  

  

  

  

  

Peter bought an item at 20% discount on its original price. He sold it with 40% increase on the price he bought it. The new sale price is by what percent more than the original price?

  

  

  

  

  

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?

  

  

  

  

An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles. If three marbles are picked at random, what is the probability that at least one is yellow?

  

  

  

  

  

The salaries of A and B together amount to Rs. 2000. A spends 95% of his salary and B, 85% of his . If now, their savings are the same. What is A’s salary?

  

  

  

  

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

  

  

  

  

What will be the cost of gardening  1metre broad boundary around a rectangular plot having perimeter of 340 meters at the   rate of Rs. 10 per square metres?

  

  

  

  

  

54.35 × 39.87 ÷ 13.35 =?

  

  

  

  

  

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 ?

  

  

  

  

  

A, B, C enters into a partnership investing Rs 35000 Rs 45000 and Rs 55000 respectively. The respective shares of A, B and C in annual profit of Rs 40,500 are

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

A Started a business with 4500 and another person B joined after some period with  3,000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2:1  

  

  

  

  

  

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:

  

  

  

  

5800 ÷ (32x 14.5) =?  

  

  

  

  

  

A monkey ascends a greased pole 12 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top?

  

  

  

  

  

The present worth of Rs. 169 due in 2 years at 4% per annum compound interest is

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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, according to the treasury secretary, was the only way out of the exchange problem?

  

  

  

  

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:

  

  

  

  

When Rs 1074 is divided among Anumeha, Shobha and Sanghmitra so that if their shares are diminished by Rs 6, Rs 8 and Rs 10 respectively, the remainder shall be in the ratio 4 : 5 : 6. Find the share of Shobha

  

  

  

  

  

A car travels a distance of 360km at a uniform speed. If speed of the car is 20km/hr more then time is 3 hrs. less.The original speed of car was:

  

  

  

  

1 27 127 343 729

  

  

  

  

Ina mixture of milk and water the proportion of water by weight was 75 %. If in the 60gms mixture 15 gms., water was added, what would be the percentage of water in the new mixture?

  

  

  

  

  

Company A pays 5.5% on shares of Rs.100, and another pays at the rate of 3.5%  On shares of Rs.10 each. If the price of the former be Rs.150.00 and of the later Rs.15.00, compare the rates of interest which the shares return to a purchaser.

  

  

  

  

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D. What is B’s share?

  

  

  

  

How many 4-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed?

  

  

  

  

If 20% of a = b, then b% of 20 is the same as:

  

  

  

  

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?

  

  

  

  

(2.0001)^3=?

  

  

  

  

  

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.

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

  

  

  

  

  

39815 + 42305 = 122678-?

  

  

  

  

  

Sam invested Rs. 15,000 @ per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be

  

  

  

  

  

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?

  

  

  

  

968 * 445 ÷7=17230.4

  

  

  

  

  

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 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?

  

  

  

  

  

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

  

  

  

  

What is the least number of square tiles required to pave the floor of a room 15 cm 17 cm long and 9 m 6 cm broad?

  

  

  

  

When x5– 5x4+ 9x3– 6x2– 16x + 13 is divided by x2 – 3x + a, the quotient and the remainder are x3 2x2+ x + 1 and  – 15x + 11, respectively. The value of a is equal to

  

  

  

  

The area of a triangle is 21 sq. units. If two of its vertices lie on points (5, 3) and (–4, –3), then find the locus of the third vertex.

  

  

  

  

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?

  

  

  

  

  

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

  

  

  

  

  

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is

  

  

  

  

892.7 – 573.07 – 95.007 =?

  

  

  

  

(3/7)*(4/9) *(2/7) * 3719 =?

  

  

  

  

  

Divide ?2379 into 3 parts so that their amounts after 2,3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is

  

  

  

  

  

A , B , C started a partnership business by investing Rs 27000 , 72000 , 81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?

  

  

  

  

The average weight of 45 students in a class is 52 kg. Five of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?

  

  

  

  

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

  

  

  

  

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