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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1 27 127 343 729

  

  

  

  

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 ?

  

  

  

  

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

  

  

  

  

  

The value of (log9 27+log8 32) is

  

  

  

  

The mean o 12, 22, 32, 42, 52, 62, 72 is:

  

  

  

  

Raviraj invested an amount of ?10,000 at compound interest of 10 pcpa for a period of three years. How much amount, Raviraj get after three years?

  

  

  

  

  

If x = (7 - 4√3),then the value of (x + 1/x) is:

  

  

  

  

A fan is listed at Rs. 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to Rs. 1104?

  

  

  

  

What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?

  

  

  

  

What will be the simple interest accured on a sum of Rs. 5,224 at a rate of 5 p.c.p.a. in 5 years?  

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

Water flows at the rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm?

  

  

  

  

What is the slope of the line given by the equation 2h – 8 = 7 – 2a?

  

  

  

  

  

A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it 90 days. In what time can A alone do it?

  

  

  

  

23 10 40 172 885 5346

  

  

  

  

  

The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights

  

  

  

  

If the final amount of money that Ghosh Babu had with him was Rs. 100, what was the initial amount he had With him?

  

  

  

  

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

  

  

  

  

10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days?

  

  

  

  

If A : B =8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to:

  

  

  

  

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 ?

  

  

  

  

The value of 1/4 + 1/9 + 1/16 + ... +1/n2 is

  

  

  

  

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

  

  

  

  

For which of the following years, percentage increase/ decrease in the number of students studying Commerce with respect to the previous year is the maximum?

  

  

  

  

  

The value of 1001 + 11 of 13 is:

  

  

  

  

Murali purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. Find out his profit percentage.

  

  

  

  

A shopkeeper buys 144 eggs at 90 paise each. In the way 20 eggs were broken. He sold the remaining eggs at Rs. 1.20 each. The percentage gain or loss is

  

  

  

  

A train moves with a speed of 108 kmph. Its speed in meters per sec

  

  

  

  

There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. The number of horizontal layers in the pile is

  

  

  

  

The ratio between the whole expenses on taxes for every year and the entire expenses on fuel and transports for every year is around

  

  

  

  

  

What should come in place of question mark (?) 121 114 105 94 81 66 (?)

  

  

  

  

  

The average speed of a car is 1(4/5)  times the average speed of a bus. A tractor covers 575 km in 23 hours. How much distance will the car in 4 hours if the speed of the bus is twice speed of the tractor?

  

  

  

  

  

In a simultaneous throw of two coins he probability of getting at least one head is

  

  

  

  

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

  

  

  

  

The eldest is

  

  

  

  

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?

  

  

  

  

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

  

  

  

  

If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be:

  

  

  

  

The ratio between the rate of walking of x and y is 2:3. If the time taken by B to cover a certain distance is 24min, to cover the same distance A will take:

  

  

  

  

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?

  

  

  

  

√(12X 148÷8+21-74)= ?  

  

  

  

  

  

12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required, is:

  

  

  

  

What is the difference between the per cent profit in 1999-2000 and that in 2000-2001?

  

  

  

  

  

Rs.9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of income. The investment in 9% stock is:

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

I buy a 20% stock of face value 50/- at 45/- and sell it at 55/-. A year later, what is my yield

  

  

  

  

Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

  

  

  

  

  

Find the co-ordinates of the foot of the perpendicular from point (5,7) on the line whose equation is: x + 7y - 10 = 0.

  

  

  

  

√571536/42 * ?=5850

  

  

  

  

  

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. -,.

  

  

  

  

  

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?

  

  

  

  

A rectangular tank measuring 5m x 4.5 m x 2.1 m is dug in the centre of the field measuring 13.5.m x 2.5. The earth dug out is spread evenly over the remaining portion of afield. How much is the level of the field raised ?

  

  

  

  

  

If a, b and c are the sides of a triangle and a4 + b4 + 2a2b2 = c4, then the triangle is

  

  

  

  

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

  

  

  

  

Euclid had a triangle in his mind .The longest side is 20 and the other side is 10.Area of the triangle is 80.The third side is

  

  

  

  

A flagstaff 17.5 m high casts a shadow of length 40.25m. The height of the building which casts a shadow of length 28.75 under similar conditions will be:

  

  

  

  

A train takes 10 seconds to cross an electric pole. It takes 30 seconds to cross a train travelling in the same direction at 36 kmph and having a length of 300 m.Find its length  (in metres).

  

  

  

  

A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

  

  

  

  

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 ?

  

  

  

  

  

Find tan 9 − tan 27 − tan 63 + tan 81 ( all angles in degrees)

  

  

  

  

  

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

  

  

  

  

A man divides his property so that his son’s share to the wife’s and the wife’s share to his daughter are both in the ratio 3:1. If the daughter gets 10,000 less than the find the total worth property.  

  

  

  

  

  

x varies inversely as square of y. Given that y=2 for x=1 The value of x for y=6 will be equal to:

  

  

  

  

Vivek purchased 120 tables at a price of Rs 110 per table. He sold 30 tables at a profit of Rs 12 per table and 75 tables at a profit of Rs 14 per table. The remaining tables were sold at a loss of Rs 7 per table. What is the average profit per table?

  

  

  

  

  

If 20 – 4 = 10 and 30 – 6 = 10 then 40 – 8 = ?

  

  

  

  

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:

  

  

  

  

A man completes 5/8 of a job in 10 days. At this rate, how many more days will it takes him to finish the job

  

  

  

  

If one root of ax2 + bx + c = 0 is double the other, then a, b, c are related as

  

  

  

  

A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.

  

  

  

  

  

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?

  

  

  

  

What is the slope of the line given by the equation 3p – 5 = 5 – 2k?

  

  

  

  

  

A well 20m in diameter is dug 15m deep and earth is spread all around a width of 5m to form an embankment. Find the height of the embankment.

  

  

  

  

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

  

  

  

  

11.6 +9.28 ÷ 0.464 – 0.2828 + 0.07 - ?

  

  

  

  

If the interest on Rs. 800 exceeds that on Rs. 600 by Rs. 15.50 in 6 months, find the rate percent p.a.

  

  

  

  

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?

  

  

  

  

(2√27-√75+√12) is equal to:

  

  

  

  

A man purchased 40 fruits; apples and oranges for Rs 17. Had he purchased as many as oranges as apples and as many apples as oranges, he would have paid Rs 15. Find the cost of one pair of an apple and an orange

  

  

  

  

What is the average mark obtained by the six students in Philosophy out of 75?

  

  

  

  

  

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 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?

  

  

  

  

What is the distance between the c intercept and the r intercept of the line given by the equation? 2r = 6 - f?  

  

  

  

  

  

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

  

  

  

  

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

  

  

  

  

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?

  

  

  

  

At what coordinates does the graph of 4c+ 6 = d - 1 intersects the c axis?

  

  

  

  

  

If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?

  

  

  

  

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

  

  

  

  

If 8a + 4b = 11 and 2a + 4g = 5. The value of b = 2. You need to find the value of a and g.

  

  

  

  

  

750.46 + 114.09-84004 =? -13.09  

  

  

  

  

  

If a sum of money at certain rate of interest doubles in 5 years and at a different rate of interest becomes 3 times in 12 years, the better rate of interest is

  

  

  

  

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:

  

  

  

  

Total number of students of qualified in the exam from School-P over all the years together was approximately what percentage of total number of students who qualified in the exam from both the schools together in the year 2006 and 2007 together?

  

  

  

  

  

A 9% stock yields 8%. The market value of stock is

  

  

  

  

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

  

  

  

  

  

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:

  

  

  

  

1/4 of 3/5 of 6/5 of a number is 54 what is the number?

  

  

  

  

  

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

  

  

  

  

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