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

  

  

  

  

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.=

  

  

  

  

Abhishek started a business with an investment of Rs 50,000. After one year, he invested another Rs 30,000 and now Sunil joined him with Rs 70,000. If the total profit earned during the three years from the beginning is Rs 84,000, how much will Sunil get out of it

  

  

  

  

  

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’ ?

  

  

  

  

5% of (25% of Rs1600) is

  

  

  

  

A square of 36 cm x 36 cm is completely divided into a grid of cells of size 3 cm x 2 cm each, where 3cm is the vertical dimension of each cell and 2 cm is the horizontal dimension. What is the total number of squares that can be located in the grid?

  

  

  

  

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?

  

  

  

  

  

Nelson borrowed some money at the rate of 6 p.c.p.a. for the first three years, 9 p.c.p.a. for the next five years and 13 p.c.p.a. for theperiod beyond eight years. If the total interest paid by him at the end of eleven years is F 8,160, how much money did he borrow?

  

  

  

  

  

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

  

  

  

  

If a - 4 = 4 (2- a), then what is the value of a?

  

  

  

  

  

The difference between a discount of 35% and successive discounts of 20% and 20% on a certam bill 22. Find the amount of the bill.

  

  

  

  

  

The eldest is

  

  

  

  

7999.99+72x49.99=?

  

  

  

  

  

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:

  

  

  

  

From the salary of an officer, 10% is deducted as house rent, 20% of the rest, he spends on conveyance, 20% of the rest he pays as income tax and 10% of the balance, he spends on clothes. Then, he is left with Rs. 15,552. Find his total salary?

  

  

  

  

If 2x = 3√32, then x is equal to :

  

  

  

  

P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?

  

  

  

  

 If s varies directly as e and s/e = 6, then what is the value of s when e = 2.2?

  

  

  

  

  

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

  

  

  

  

  

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:

  

  

  

  

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:

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

9050 ÷ 40=?  

  

  

  

  

  

What is the respective ratio of the students having Finance as specialisation to that of students having HR as specialisation?

  

  

  

  

  

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

  

  

  

  

(log5 3)X(log3 625) equals

  

  

  

  

The value of (log9 27+log8 32) is

  

  

  

  

The difference between a discount of 35% and two successive discounts of 20% on a certain bill was Rs. 22. Find the amount of the bill.

  

  

  

  

  

The price of oil is increased by 25%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is

  

  

  

  

The value of log(-1/3) 81 is equal to

  

  

  

  

On selling an item for 96 Rs a man gains 20%. In order to gain 35%. What will be the increase in the selling price?

  

  

  

  

  

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?

  

  

  

  

If the expenditure of Company B increased by 20% from 1995 to 1996, the income in 1996 will be how many times the income in 1995?

  

  

  

  

  

The ratio of ages of a father and son is 17:7 respectively. 6 years ago the ratio of their ages was 3:1 respectively. What is the father's present age?

  

  

  

  

If x = 3 –  √5 , then the value of x2+16/x2 is equal to

  

  

  

  

What will be the area of a semi-circle whose perimeter is 36cm?

  

  

  

  

  

The population of a town increased from 1, 75,000 to 2, 62, 500 in a decade. The average percent increase of population per year is?

  

  

  

  

The person worth of Rs. 1404 due in two equal half yearly installments  at 8% per annum simple interest is

  

  

  

  

Two cards are drawn  together from a pack of 52 cards .The probability that one is a spade and one is a heart ,is

  

  

  

  

A juice shop requires 35 kgs. of sugar for seven days. How many kgs. of sugar will it require for 50 days?

  

  

  

  

  

A boat goes 13 km upstream in 39 minutes. The speed of stream is 3 km/hr. The speed of boat in still water is:

  

  

  

  

Girish started a business investing Rs. 45,000. After 3 months, Vijay joined him with a capital of Rs. 60,000. After another 6 months, Ankush joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. What is Girish’s share of profit ?

  

  

  

  

  

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:

  

  

  

  

Two different teams with four students each were training for an international math contest. The students were given an assessment exam and their scores were ranked. What is the probability that the four best scores come from only one of the teams assuming that no two students got the same score?

  

  

  

  

  

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

  

  

  

  

  

Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

  

  

  

  

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 ?

  

  

  

  

61 72 ? 73 59 74 58

  

  

  

  

  

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;

  

  

  

  

Manoj sold and article for Rs. 15,000. Had he offered a discount of 10% on the selling price he would have earned a profit of 8%. What is the cost price?

  

  

  

  

  

56484-3284-7125 =?  

  

  

  

  

  

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

  

  

  

  

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.

  

  

  

  

Evaluation of 83 × 82 × 8-5    is:

  

  

  

  

If 45 – [ 28 – {37 – (15 - *)}] = 58, then * is equal to:

  

  

  

  

If x2+y2+z2-64/xy-yz-zx=-2and x + y = 3z, then the value of z 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:

  

  

  

  

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

  

  

  

  

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

  

  

  

  

  

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6565 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500 ?

  

  

  

  

A certain amount was divided between A and B in the ratio 4 : 3. If B’s share was Rs. 4800, the total amount was:

  

  

  

  

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?

  

  

  

  

√00004761 equals

  

  

  

  

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

  

  

  

  

(4356)1/2 ÷ 11/4=√? X6

  

  

  

  

  

If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is:

  

  

  

  

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

  

  

  

  

  

A man takes 20 days to reach the point B under normal circumstances. But, due to the increasingly hostile weather conditions the distance they travel every day reduces by 20%. In how many days would the man reach the point B, taking into consideration weather conditions?

  

  

  

  

The present population of a country estimated to be 10 crores is expected to increase to 13.31 crores during the next three years. The uniform rate growth is :

  

  

  

  

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

  

  

  

  

  

If the numerator of a fraction is increased by 200%and the denominator of the fraction in increased by 150%, the resultant fraction is 7/10. What is the original fraction?

  

  

  

  

  

Manick received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Raunaq earned at the end of one year. If manick invested Rs. 20,000 for 6 months, whereas Raunaq invested his amount for the whole year, what was the amount invested by Raunaq?

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?

  

  

  

  

A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr The man’s speed against the current is?

  

  

  

  

A sphere of maximum volume is cut out from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut out sphere is

  

  

  

  

Amit invests Rs. 9000 partly in 5%, Rs. 167 Shares @ Rs.240 and partly in 3% Rs. 700 shares @ Rs.850. If his total income is 500, how much has he invested in each?

  

  

  

  

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

  

  

  

  

  

405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

  

  

  

  

A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrical opposite fixed gates A and B on the boundary is 7 meters. The distance of the pole from one of the gates is:

  

  

  

  

Which of the following fractions is the smallest?

  

  

  

  

The value of 1÷[1 + 1 ÷{1 + 1 ÷(1 + 1 ÷2)}] is:

  

  

  

  

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 sec. the speed of the sec train is

  

  

  

  

A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?

  

  

  

  

A circular cylinder can hold 61.6 c.c of water. If the height of the cylinder is 40 cm and the outer diameter is 16 mm, then the thickness of the material of the cylinder is

  

  

  

  

The cost of carpeting a room 18 m long with a carpet 75 cm wide at Rs. 4.50 per meter is Rs. 810. The breadth of the room is :

  

  

  

  

If 5+2√3/7+√3=a+b√3,then :

  

  

  

  

A train overtaken two persons walking along a railway track. The first one walks at 4.5 km/hr. the other one walks at 5.4 km/hr. the train needs 8.4 and 8.5 sec respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train

  

  

  

  

If log 2=0.3010 and log 3=0.4771, then value of log5 512 is

  

  

  

  

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?

  

  

  

  

After successive discounts of 12% and 5% an article was sold for Rs. 209. What was the original price of the article?

  

  

  

  

If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?

  

  

  

  

A sum of Rs. 1300 is divided amongst P, Q, R and S such that P’s ahare/Q’s share = Q’s share/R’s share  = R’s share/S’s share =2/3.Then, P’s share is:

  

  

  

  

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

  

  

  

  

The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?

  

  

  

  

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