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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   Time Left : 00 : 30    : 00

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 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?

  

  

  

  

If 9c + 2d = 11 and z – 3d = 5, then what is the value of g?

  

  

  

  

  

If u(m) =3m2+ 2 then what is the value of u(m + 4)?

  

  

  

  

  

A wholesaler allows a discount of 10% on cash payment. The value of the article for which the customer paid Rs. 180 is-

  

  

  

  

36. If 18 pumps can raise 2170 tones of water in 10 days, working 7 hours a day; in how many days will 16 pumps raise 1736 tones of water working 9 hours a day?

  

  

  

  

Nikhilesh invested certain amount in three different schemes A, B and C with the rate of interest 10 p.c.p.a., 12 p.c.p.a. and 15 p.c.p.a.. respectively. If the total interest accrued in one year was ? 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount Invested in scheme B, what was the amount invested in scheme B?

  

  

  

  

  

5 (P ‘s Capital ) = 10 (Q’s Capital)=15 (R’s Capital) then the ratio of their capital is

  

  

  

  

A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. B alone will be able to complete the same working in:

  

  

  

  

Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How many days will a woman take to do the job, if she works alone on it?

  

  

  

  

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

  

  

  

  

If one number is 80% of the other and 4 times the sum of their squares is 656, then the number are?

  

  

  

  

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?

  

  

  

  

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:

  

  

  

  

√00004761 equals

  

  

  

  

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

  

  

  

  

Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.

  

  

  

  

(log5 3)X(log3 625) equals

  

  

  

  

37 ? 103 169 257 367

  

  

  

  

The angle of elevation of a ladder leaning against a wall is 600 and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

  

  

  

  

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?

  

  

  

  

10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In  how many days will a woman finish the work?

  

  

  

  

  

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

  

  

  

  

What will be the area of a semi-circle of 14 metres diameter?

  

  

  

  

  

A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

  

  

  

  

Which of the following statements is NOT true?

  

  

  

  

Pipes A and B fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in

  

  

  

  

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?

  

  

  

  

  

Mr. Gangadhar, Mr. Ramesh and Mr. Shridhar together earned 19800. The ratio of earnings between Mr. Gangadhar and Mr. Ramesh 2:1 while that between Mr. Ramesh andMr. Shridhar is 3:2. How much did Mr. Ramesh earn?

  

  

  

  

  

Anuradha purchased 30 kg of rice at the rate of Rs 11.50 per kg and 20 kg of rice at the rate of Rs 14.25 per kg. She mixed the two and sold the mixture. Approximately at what price per kg should she sell the mixture to make 30 per cent profit

  

  

  

  

  

40% of 5/6 is

  

  

  

  

13 16 21 27 39 52 69

  

  

  

  

  

Successive discounts of 20% and 15% are equivalent to a single discount of

  

  

  

  

If x + y = 2, xy = 1, then the values of x and y are respectively

  

  

  

  

The eldest is

  

  

  

  

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?

  

  

  

  

  

If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph, then the man’s rate along the current is?

  

  

  

  

Find the compound interest in Rs.2400 for 2 1/2 years at 5 % p.a.,interest being compounded annually.

  

  

  

  

A discount of 15% on one article is the sum as a discount of 20% on another article. The costs of the two articles can be:

  

  

  

  

The total expenditure of the company over these items during the year 2000 is?

  

  

  

  

If the numerator of a fraction is increased by 10% and the denominator is increased by 20% the resultant fraction is 11/15. What was the original fraction?

  

  

  

  

  

A, B and 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?

  

  

  

  

The circumference of two circles is 88 metres and 220 metres respectively. What is the difference between the area of the larger circle and the smaller circle?

  

  

  

  

  

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

  

  

  

  

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.

  

  

  

  

  

What is the minimum value of x for which the expression x3 – 7x2 + 11x – 5 gives positive values

  

  

  

  

Mr. Ram is on tour and he has Rs 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by Rs 3. The number of days of Mr. Ram's tour programme is

  

  

  

  

The value of (log9 27+log8 32) is

  

  

  

  

The total number of workers working in the shifts 1230 P.M.- 6.30 P.M. and 6.30 P.M.-12.30 A.M. in factory E isapproximately what per cent of the total number of workers working in the same shifts in Factory A?

  

  

  

  

  

56.703 - 63.179 + 49.361 =?

  

  

  

  

  

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)?

  

  

  

  

A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary? I. Number of toys sold. II. Cost price of each toy.

  

  

  

  

  

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:

  

  

  

  

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?

  

  

  

  

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)

  

  

  

  

  

If he is able to sell only 1200 out of the 1500 watches he has made in the season, then in the season he has made a profit of:

  

  

  

  

If log10 125+log10 8=X, then X is equal to

  

  

  

  

Ajit Singh wants to travel a distance of 15 kms. He starts his journey by Type A vehicle. After travelling 6 kms, he changes the vehicle to Type B for the remaining distance. How much money will he be spending in all?

  

  

  

  

  

The H.C.F and L.C. M. of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is:

  

  

  

  

If( 4x2 – 3y2) : (2x2 + 5y2)= 12 : 19, then (x : y) is:

  

  

  

  

52.416 ÷ 18.72+6.28 = ?

  

  

  

  

5x2 – 13xy + 6y2 = 0,then x : y is:

  

  

  

  

The sum of X and Y's age is 105. When X was Y's age, she was 1.5 times Y's age then what are their present ages?

  

  

  

  

The L.C.M of 148 and 185 is:

  

  

  

  

In a business, A  and C invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by A and B was 3 : 2. If Rs. 1,57, 300 was their profit, how much amount did B receive?

  

  

  

  

If x = 5 + 2√6, then (x -1)/√x is equal to:

  

  

  

  

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27kg of sugar costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?

  

  

  

  

A boy goes to his school form his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is:

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

Solve for real x: 6x2 + 5x - 6 ≥ 0

  

  

  

  

Two train 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same direction

  

  

  

  

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

  

  

  

  

In what time will a train 100 meters long cross an electric pole, if its speed be 144 km/hr?

  

  

  

  

Amrita took a loan of Rs. 50,600/- at a certain rate of simple interest for 5 years. At the end of 5 years she repayed an amount of Rs 65,780/-. What is the rate of interest at which Amrita took the loan?

  

  

  

  

  

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

  

  

  

  

  

Cause: Incessant rains have lashed the city during the past forty eight hours. Which of the following can be a possible effect of the above cause? (A) The transport systems of the city have come to complete halt for the past twenty four hours. (B) Many low lying areas of the city are submerged under water. (C) Many people living in slums are shifted to municipal schools. -,.

  

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

If a2 = b4 = c8 = d16, then logd2 (abc)1/3

  

  

  

  

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

  

  

  

  

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

  

  

  

  

A 6% stock yields 8%.The market value of the stock is

  

  

  

  

A circular garden has a circumference of 440m. There is a 7m border inside the garden along its periphery. The area of the border is

  

  

  

  

A began business with  12500 and is joined afterwards by the B with  37,500. When did B Join, if the profits at the end of the year are divided equally?  

  

  

  

  

  

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.

  

  

  

  

What would be the compound interest obtained on an amount of 12600 Rs at the rate of 10% per annum after two years?

  

  

  

  

  

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 ?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

  

  

  

  

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?

  

  

  

  

The number of positive integers n in the range 12  ? n? 40 such that the product (n – 1) (n –2)…3.2.1 is not divisible by n is 

  

  

  

  

6, 12, 48, 100, 384, 768, 3072 Find out the wrong number in the series.

  

  

  

  

  

A garment company declared 15% discount for whole buyers. Mr Sachdev bought garments from the come for 25,000 after getting discount. He fixed up the sell price of garments in such a way that he earned a profit 8% on original company price. What is the approximate total selling price?

  

  

  

  

  

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

  

  

  

  

  

Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs 153 per Kg , the price of the third variety per Kg will be?

  

  

  

  

In how many ways is it possible to choose a white square and a black square on a chess board so that the squares must not lie in the same row or column?

  

  

  

  

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. The number of pupils in the class is:

  

  

  

  

  

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