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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At a simple interest ? 800 becomes ? 956 in three years. If the interest rate, is increased by 3%, how much would ?800 become in three years?

  

  

  

  

  

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

  

  

  

  

Kamal started a business investing Rs.900.After 5 months,Sameer joined with a capital of  Rs.8000.If at the end of the year,they earn a profit of  Rs.6970,then what will be the share of Sameer in profit?

  

  

  

  

Total number of men selecting Product F forms approximately what percent of the total number of people selecting all the Products together?

  

  

  

  

  

If logx/(a2+b2+ab) = logy/(b2+c2+bc) = logz/(c2+a2+ac) then, the value of x(a-b).y(b-c).z(c-a) is

  

  

  

  

Four milkmen rented a pasture. A grazed 15 cows for 4months, B grazed 12 cows for 2months, C grazed 18 cows for 6 months, and D grazed 16 cows for 5 months. If A’s share of rent is Rs 1,020, what is C’s share of rent?

  

  

  

  

(21 .35)2 +(12.25)2 =?

  

  

  

  

  

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as intrest at 4.5%per annum of simple interest?

  

  

  

  

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 

  

  

  

  

At what rate percent per annum will the simple interest on a sum money be 2/5 of the amount in 10 years?

  

  

  

  

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

  

  

  

  

In a cyclic quadrilateral ABCD, if AB = 2, BC = 3, CD = 4 and DA = 5, what is the ratio of the lengths of the diagonals?

  

  

  

  

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

  

  

  

  

The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of the other diagonal?

  

  

  

  

One of the editors must work completely alone for the whole day in order to prevent confusion and disorder. If no other editor can afford to lose his available time, then the only possible editor privileged with working alone is

  

  

  

  

A shop gives 10% discount on the purchase of an item. If paid for in cash immediately, a further discount of 12% is given. If the original price of the item is Rs. 250, what is the price of the article if a cash purchase is made?

  

  

  

  

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

  

  

  

  

  

If 4x + 5y = 83 and 3x/2y = 21/22, then y-x = ?

  

  

  

  

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced?

  

  

  

  

A house and a shop were sold for Rs. 1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale resulted into 20% profit. The entire transaction resulted in:

  

  

  

  

If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone:

  

  

  

  

5800 ÷ (32x 14.5) =?  

  

  

  

  

  

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

  

  

  

  

  

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.

  

  

  

  

The simple interest accrued on a sum of certain principal is Rs. 2,000/- in five years at the rate of p.c.p.a. What would be the compound interest accrued on a principal at same rate in two years?

  

  

  

  

  

A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A’s speed is equal to:

  

  

  

  

If r(x) is the remainder obtained by dividing a polynomial p(x) by another polynomial q(x), then

  

  

  

  

54.35 × 39.87 ÷ 13.35 =?

  

  

  

  

  

If 15 men and 10 boys can do in 1 day as much work as 12 men and 20 boys. How much should a man be paid a day if a boy is to get Rs.10 a day?

  

  

  

  

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3, and 4, if repetition of digits is allowed?

  

  

  

  

  

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:

  

  

  

  

Mary jogs 9 km at a speed of 6 km per hour. At what speed would she need to jog during the next 1.5 hours to have an average of 9 km per hour for the entire jogging session?

  

  

  

  

If (z – 5) = 4z – 8, then which of the following could be the value of z?

  

  

  

  

  

A and B play a game where each is asked to select a number from 1 to 5. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is:

  

  

  

  

The probability that a card drawn from a pack of 52 cards will be a diamond or a king 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

  

  

  

  

The radius of the wheel of a bus is 70 cms and the bus is 66 km/h, then the r.p.m. (revolutions per minute)of the wheel is

  

  

  

  

  

Manzoor had two equations containing three variables each. If they were x + 2y + 5z = 33, 2x+ 3y + z = 27, then which of the following choice will help him get a unique solution for x, y and z?

  

  

  

  

ABCD is a rhombus with the diagonals AC and BD intersecting at the origin on the x - y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC?

  

  

  

  

Rohan and Sohan started a business with investments of Rs 15000 and Rs 20000. Rohan continued till the end of the first year and Sohan left after x months. Their profits at the end of the first year were equal. Find x.

  

  

  

  

The height of the Qutub Minar is 230 metres. It is planned that a stairway from ground to the topof the Minar would be made by arranging cube shaped boulders in a step like fashion. A man firstplaces a boulder on the ground. He then steps on to it, and then throws one boulder down such thatit touches the side of the previous bolder, and then places one over the new one. He then climbsonto the last boulder thus placed and continues to do the same to create steps right to the top, witheach of his step being 1 metre. If each boulder measures 1 cubic metre, how many boulders arerequired in all ?

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

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:

  

  

  

  

An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are:

  

  

  

  

Shiwani thought of a two-digit number and divided the number by the sum of the digits of the number. He found that the remainder is 3. Devesh also thought of a two-digit number and divided the number by the sum of the digits of the number. He also found that the remainder is 3. Find the probability that the two digit number thought by Shiwani and Devesh is TRUE?

  

  

  

  

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

  

  

  

  

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

  

  

  

  

If 20kg of rice cost Rs.200 less than 80 kgs of wheat. If a kg mixture of rice and wheat is in the proportion 2:3 and cost Rs.15, Find per kg cost of rice in Rs

  

  

  

  

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:

  

  

  

  

The C.P. of an article is 40% of the S.P. The percent that the S.P is of C.P is:

  

  

  

  

If x2 + 1/x2 = 51 , then the value of x-1/x 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?

  

  

  

  

3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

  

  

  

  

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:

  

  

  

  

 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?  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The body weight of seven students of a class is recorded as 54 Kgs., 78 Kgs., 43 Kgs., 82 Kgs., 67Kgs., 42 Kgs. and 75 Kgs. What is the average body weight of all the seven students?  

  

  

  

  

  

Ranjan 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?

  

  

  

  

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

  

  

  

  

  

What, according to the treasury secretary, was the only way out of the exchange problem?

  

  

  

  

If  x1/3+y1/3+z1/3=0, then the values of (x+y+z)3 will be

  

  

  

  

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?

  

  

  

  

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 ?

  

  

  

  

39815 + 42305 = 122678-?

  

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

River is running at 3 kmph. It takes a man twice as long to row up as to row down the river. The rate of the main in still water is:

  

  

  

  

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?

  

  

  

  

If a + b = 0, then (1 + xa)-1 + (1 + xb)-1 - xa+b =

  

  

  

  

√53824=?

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

A can run 1 km in 3 min. 10 sec. and B cover the same distance in 3 min. 20 sec. By what distance can A beat B?

  

  

  

  

Ratio of Rani’s and komals age is 3 : 5 respectively. Ratio of Komal’s and pooja’s age is 2 : 3 respectively. If Rani is two – fifth of Poja’s age, what is Rani’s age?

  

  

  

  

  

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

  

  

  

  

  

√00004761 equals

  

  

  

  

A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?

  

  

  

  

21 goats eat as much as 15 cows. How many goats each as much as 35 cows?

  

  

  

  

24*22=? ÷8 

  

  

  

  

  

7414 + 3698 + 1257 + 1869 = ?

  

  

  

  

  

A truck travelling at 70 kilometres per hour uses 30% more diesel to travel a certain distance than it does when it travels at the speed of 50 kilometres per hour. If the truck can travel 19.5 kilometres on a litre of diesel at 50 kilometres per hour, how far can the truck travel on 10 litres of diesel at a speed of 70 kilometres per hour?

  

  

  

  

A and B working together can finish a job in T days. If A works alone and completes the job, he will take T+5 days. If B works alone and completes the same job, he will take T+45 days. What is T?

  

  

  

  

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

  

  

  

  

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 2n – 1 + 2n + 1 = 320, then n is equal to:

  

  

  

  

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs ?

  

  

  

  

In a race of 200m, A can beat B by 31 m and C by 18 m. In a race of 350m, C will beat B by:

  

  

  

  

Given the quadratic equation x2- (A - 3) x - (A - 2), for what value of A will the sum of the squares of the roots be zero?

  

  

  

  

A watch gains 12 seconds every 3 hours, what time will it show at 10 A.M. on Tuesday if the watch is set right at 3 A.M. on Sunday?

  

  

  

  

Complete the series 25, 125, 36, 216, 49, ___

  

  

  

  

If (2a + 3b)(2c – 3d) - (2a – 3b)(2c + 3d), then :

  

  

  

  

The price of sugar having gone down by 10%, Sharad can buy 6.2 kg more for Rs. 279. The difference between the original and the reduced price (per kg) is:

  

  

  

  

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for?

  

  

  

  

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?

  

  

  

  

The number which exceeds 16 % of by 42 is:

  

  

  

  

What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum?

  

  

  

  

The cost of cultivating a square field at the rate of Rs. 135 per hectare is Rs. 1215. The cost of putting a fence around it at the rate of 75 paise per metre would be

  

  

  

  

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