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

  

  

  

  

22% of? + 166.64 = 340  

  

  

  

  

  

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

  

  

  

  

The L.C.M. of 6x2 – 5x – 6 and 12x2 + 11x + 2 is

  

  

  

  

A and B weave a carpet in 10 days and 15 days respectively. They begin to work together but B leaves after 2 days. In what time will A complete the remaining work

  

  

  

  

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

  

  

  

  

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

  

  

  

  

Find the number of solutions in positive integers (k; a1, a2, . . . , ak; b1, b2, . . . , bk) to the equation a1(b1) + a2(b1 + b2) + · · · + ak(b1 + b2 + . . . + bk) = 7

  

  

  

  

  

What is the percentage increase in the total number of cars sold this year when compared to the total number of cars sold in the previous year?

  

  

  

  

What is the largest number of pipes of the shape of right circular cylinders with length10 cm and radius 1 cm that can be fitted into a box, all of whose sides are 20 cm in length?

  

  

  

  

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

  

  

  

  

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

  

  

  

  

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

  

  

  

  

A Boat running downstream covers a distance of 16 km in 2 hours while for covering the same Distance upstream it takes   4 hours. What is the speed of the boat in still water?

  

  

  

  

Pure milk cost  3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at  per litre. How many litres of water does he add?

  

  

  

  

  

 The ratio between the 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?  

  

  

  

  

Find the area of the cyclic quadrilateral whose sides are 15,12,10 and 13 cms.

  

  

  

  

If 15% of x = 20% of y, then x : y is:

  

  

  

  

(2.0001)^3=?

  

  

  

  

  

Three unbiased coins are tossed. What is the probability of getting at most two heads?

  

  

  

  

Where defined, {y2 – 3/3} {8/2y + 3} =

  

  

  

  

  

270 candidates appeared for an examination, of which 252 passed. The pass percentage is:

  

  

  

  

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

  

  

  

  

In a partnership, A invests 1/6 of the capital for 1/6 of the time B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for whole time find A’s share of the total profit of 2,300  

  

  

  

  

  

If ‘P’ denotes ‘multiplied by’ , ‘R’ denotes ‘added to’; ‘T’ denotes ‘subtracted from’ and ‘W’ denotes ‘divided  by ‘, then 64W4P8TR$=?

  

  

  

  

  

Rajeev buys good 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.

  

  

  

  

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

  

  

  

  

A man bought some oranges at Rs. 10 per dozen and bought the same number of oranges at Rs. 8 per dozen. He sold these oranges at Rs. 11 per dozen and gained Rs. 120. The total number oranges bought by him was:

  

  

  

  

If o = 4/3 and h = 6 then h/o + 4/o2 =

  

  

  

  

  

In a mile race Akshay can be given a start of 128 metres by Bhairav. If Bhairav can given Chinmay a start of 4 metres in a 100 metres dash, then who out of Akshay and Chinmay will win a race of one and half mile, and what will be the final lead given by the winner to the loser? (One mile is 1600 metres).

  

  

  

  

. 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?

  

  

  

  

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

  

  

  

  

Speed of a boat in standing water is 9km ph and the speed of the stream is 1.5km ph. A man rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is

  

  

  

  

Which of the following fractions is less than 7/8 and greater than 1/3?

  

  

  

  

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

  

  

  

  

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?

  

  

  

  

How many spherical bullets can be made out of lead cylindrical 15 cm high and with base radius 3 cm, each bullet being 5 mm in diameter

  

  

  

  

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:

  

  

  

  

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:

  

  

  

  

Let tan θ = tan 10 − tan 50 + tan 70 then θis ?( all angles in degress)

  

  

  

  

  

5, 6, 3, 4, 1, ____

  

  

  

  

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?

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

The value of (4.7 x13.26 + 4.7 x 9.43 + 4.7 x 77.31 ) is

  

  

  

  

The average age of three boys  is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is

  

  

  

  

  

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

  

  

  

  

Three circles touch each other externally. If xy = 15,yz = 10, xz = 21 Find the radius of each circle

  

  

  

  

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 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:

  

  

  

  

180% of 25501 + 50% of 28999 = ?

  

  

  

  

  

A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% compound interest. The sum borrowed was:

  

  

  

  

Which of the following statements is correct about the cumulative production of the plant from the year 1999 to the year 2004

  

  

  

  

In how many of the given years was the production of Milk more than the average production of the given years?

  

  

  

  

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?

  

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after  one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years?

  

  

  

  

A trader buys a chair for Rs. 600 and sells it for Rs. 765 at a credit of 4 months. Reckoning money worth 6% p.a., his gain percent is:

  

  

  

  

The number' of students studying Agriculture in the year 1999 is what per cent of the total number of students studying rest of the disciplines together during that year? (Rounded off to two digits after decimal)

  

  

  

  

  

Taps A and B can independently fill a tank in 6 and 10 hours . Leak C can empty a filled tank in 8 hours. On an empty tank A, B, C are opened. How long does it take to fill the tank

  

  

  

  

If xy = 96 and 3y = 2x, then what is the value of x

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

24 men working 8 hours a day can finish a work in 10 days. Working at he rate of 10 hours a day, the number of men required to finish the same work in 6 days is

  

  

  

  

  

The H.C.F of 24 x 32 x 53 x 7, 23 x 33 x 52 x 72 and 3 x 5 x 7 x 11 is:

  

  

  

  

Rajani has to read a book of 445 pages. She has already read the first 157 pages of the book and if she reads 24 pages of the book everday then how long will she take now to complete the book ?

  

  

  

  

  

A man spends 35% of his income on food, 25% on children’s education and 80% of the remaining on house rent. What percent of his income he is left with?

  

  

  

  

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?

  

  

  

  

A thief steals a car at 2.30 p.m. and drives it at 60 kmph. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief?

  

  

  

  

2 trains starting at the same time from 2 stations 200km apart and going in opposite direction cross each other at a distance of 110km from one of the stations. What is the ratio of their speeds?

  

  

  

  

The difference between compound interest and simple interest on a sum for 2 years at 10% per annum, when the interest is compounded annually is Rs. 16. If the interest were compounded half-yearly, the difference in two interests would be:

  

  

  

  

Water flows into a reservoir which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m X 0.2m) at 20kmph. In what time will the water level be 8?

  

  

  

  

In 1994, students seeking jobs in finance earned Rs. _____ more than those opting for software (in lakhs)

  

  

  

  

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

  

  

  

  

In an examinations, a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?

  

  

  

  

  

By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg, a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg. 3 kg of the other brand is added, then how much per kg does the other band cost?

  

  

  

  

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%?

  

  

  

  

24*22=? ÷8 

  

  

  

  

  

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?

  

  

  

  

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:

  

  

  

  

[148-{28-58}]≥(?)

  

  

  

  

  

A man rows downstream at 32 km and 14 km upstream at 13kmph.the speed of the stream is:

  

  

  

  

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

  

  

  

  

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 capacity of a tank of dimensions (8 m x 6 m x 2.5 m) 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 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?

  

  

  

  

If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:

  

  

  

  

A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already half full and both the tanks are opened together the tank will be:

  

  

  

  

The slope of the line Joining A (-4. 6) and B (5, 3) is

  

  

  

  

If log32, log3(2x – 5), log3(2x – 7/2) are in arithmetic progression, then the value of x is equal to

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

The sum of the radius of the base and height of a solid cylinder is 40m. If the total surface area of the cylinder is 1760 m2 its volume is:

  

  

  

  

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

  

  

  

  

If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5 ?`

  

  

  

  

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

  

  

  

  

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