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 log8 (X2+X)-log5(x+1)=2, then the value of x is

  

  

  

  

If 8 men can reap 80 hectares 24 days, then how many hectares can 36 men reap in 30 days?

  

  

  

  

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

  

  

  

  

  

A, B and C 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 truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed?

  

  

  

  

(xn - an) is completely divisible by (x - a), if

  

  

  

  

. If the roots, x1,and x2, of the quadratic equation x2 - 2x + c = 0 also satisfy the equation 7x2 - 4x1 = 47, then which of the following is true?

  

  

  

  

960 839 758 709 ? 675

  

  

  

  

  

Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after 6 months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R?

  

  

  

  

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?

  

  

  

  

A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was

  

  

  

  

The compound interest on Rs. 20,480 at 6(1/4) per annum for 2 years 73 days, is:

  

  

  

  

s varies directly as the square of p. When s = 3.5, p = 0.5 If s = 90, then c would be equal to

  

  

  

  

  

A, B and C enter into partnership. A invests some money at the beginning. B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27,000, C’s share is:

  

  

  

  

If (x + 4) (x + 6) (x +1) 2> 0, then the solution set for the inequality is

  

  

  

  

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

  

  

  

  

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 quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?

  

  

  

  

  

If a * b – 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to:

  

  

  

  

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 ?

  

  

  

  

If selling price of an article is Rs. 250, profit percentage is 25%. Find the ratio of the cost price and the selling price

  

  

  

  

750.46 + 114.09-84004 =? -13.09  

  

  

  

  

  

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

  

  

  

  

  

A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks 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%?

  

  

  

  

The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre.

  

  

  

  

If a1 = 1 and an+1 = 2an + 5, n = 1, 2 ...., then a100 is equal to :

  

  

  

  

3 pipes can fill a reservoirin 10,15 and 20 hrs. resp. The first was opened at 5 a.m. , the second at 6 a.m., third at 7 a.m. When will the reservoir the filled?

  

  

  

  

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:

  

  

  

  

The value of (log9 27+log8 32) is

  

  

  

  

61 72 ? 73 59 74 58

  

  

  

  

  

Aman gave 40% of the amount he had to Rohan. Rohan in turn gave one-fourth of what he received from Aman to Sahil. After paying Rs. 200 to the taxi driver out of the amount he got from Rohan, Sahil now has Rs. 600 left with him. How much did Aman have?

  

  

  

  

The average of runs of a cricket player of 10 innings was 32.How many runs must he make in his next innings so as to increase his average of runs by 4 ?

  

  

  

  

In a shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, find out approximately what percentage of the selling price is the profit?

  

  

  

  

7008÷ 24 + 6208÷16=?

  

  

  

  

  

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

  

  

  

  

5% of (25% of Rs. 1600) is

  

  

  

  

How many words with or without meaning, can be formed by using all the letters of the word. “DELHI’ using all the letters of the word ‘DELHI’ using each letter exactly once?

  

  

  

  

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

  

  

  

  

  

Which of the following is equal to 3.14 x 106?

  

  

  

  

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 ?

  

  

  

  

A car finishes a jouney in ten hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?

  

  

  

  

  

If 5x + 9 > 3x + 19, what is the range of values x can take?

  

  

  

  

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?

  

  

  

  

  

A shopkeeper marks up his goods to gain 35%. But he allows 10% discount for cash payment. His profit on the cash transaction therefore, in percentage, is

  

  

  

  

  

(-5)(4)(2)(-1/2)(3/4)= ?

  

  

  

  

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

  

  

  

  

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining works?

  

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

  

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:

  

  

  

  

56.703 - 63.179 + 49.361 =?

  

  

  

  

  

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

  

  

  

  

  

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:

  

  

  

  

Two whole numbers whose sum is 72 cannot be in the ratio:

  

  

  

  

A man’s speed with the current is 15 km/hr and the speed of the current is 2.5kmph, the man’s   Speed against the current is

  

  

  

  

A trader gives 12% additional discount on the discounted price, after giving an initial discount of 20% on the labeled price of an item. The final sale price of the item is Rs.704. Find out the labeled price?

  

  

  

  

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.

  

  

  

  

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

  

  

  

  

When an item is sold for Rs. 18,700, the owner loses 15%. At what price should that plot be sold to get a gain of 15%?

  

  

  

  

√00004761 equals

  

  

  

  

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?

  

  

  

  

Solid cube of 6 * 6 * 6. This cube is cut into to 216 small cubes. (1 * 1 * 1).the big cube is painted in all its faces. Then how many of cubes are painted at least 2 sides.

  

  

  

  

The factors of x2 + xy − 2 xyz −2z are:

  

  

  

  

If y(u) = 2u2 + 2 then what is the value of y, if u = 3?

  

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

The banker’s discount on a sum of money for 1(1/2) years is Rs. 558 and the true discount on the same sum for 2 yers is Rs. 600. The rate percent is

  

  

  

  

125% of 605 +(4/5) of 218 =?

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

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.

  

  

  

  

Marks obtained by Komal in English are equal to 1/3rd of marks obtained by her in Music. Total marks obtained by her in both the subjects is 160. How many marks did she secure in Music?

  

  

  

  

  

1/2 of 4/5 of 3/8 of 7450=?  

  

  

  

  

  

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.

  

  

  

  

2 men, 3 women and 8 machines take 12 days to complete a job and 6 women and 28 machines take 6 days to complete it. A man and a machine take 45 days to complete it. Find the time taken by a machine to complete it (in days).

  

  

  

  

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?

  

  

  

  

(51 + 52 + 53 + ……… + 100) is equal to:

  

  

  

  

A retailer buys an electronic buzzer for Rs. 215. His overhead expenses are Rs. 25. If he sells the buzzer for Rs. 300, his profit percentage would be

  

  

  

  

A car travels from P to Q at a constant speed. If its speed were increased by 10 km/hr, it would have taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/hr. What is the distance between the two cities?

  

  

  

  

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is:

  

  

  

  

40% of 5/6 is

  

  

  

  

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

  

  

  

  

  

Ujakar and Keshab atternplted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the original quadratic equation?

  

  

  

  

(16)²- 5³ + √169 = (?)²  

  

  

  

  

  

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?

  

  

  

  

(A) All batsmen are bowlers.       (B) No bowler is a keeper. (C) Some bowlers are batsmen.   (D) Some keepers are bowlers. (E) All keepers are batsmen.        (F) Some batsmen are not keepers.

  

  

  

  

What is the proportion of Government internet owners to the Private internet owners in the period 1999-2000?

  

  

  

  

  

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

A number when decreased by 14% of it, gives 215. What is the number?

  

  

  

  

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 price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?

  

  

  

  

The population of a town was 1,60,000 three years ago. If it increased by 3%, 2.5% and 5% respectively in the last three years, then the present population is:

  

  

  

  

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

  

  

  

  

A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were:

  

  

  

  

The area of a rhombus is 150 cm2. The length of one of its diagonals is 10cm. The length of the other diagonal is:

  

  

  

  

Five years ago the ratio of the ages of A and B 2 : 3 and after 7 years it will be 4 : 5 What is the present age of  ‘A’?

  

  

  

  

  

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