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 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?

  

  

  

  

The average of 10 scores is 80. When the highest and the lowest scores are dropped the average is 81. If the highest score is 92, find the lowest score.

  

  

  

  

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

  

  

  

  

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 quality sold at 18% profit 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?

  

  

  

  

  

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:

  

  

  

  

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?

  

  

  

  

A bus started its journey from Ramgarh and reached Devgarh in 44 minutes with its average speed of 50km/hour. If the average speed of the bus is increased by 5 km/hour, how much time will it take to cover the same distance?

  

  

  

  

  

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

  

  

  

  

  

Let x and y be consecutive integers. Suppose m be the number of solutions of x3 − y3 = 3k2 and n be the number of solutions of x3 − y3 = 2t2,where k, t are integers. Then m + n equals:

  

  

  

  

  

In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hrs 18 min 15 seconds of watch time. What is the time gained or lost by this watch in one day?

  

  

  

  

How many five digits positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4, and 5, without any of the digits getting repeating?

  

  

  

  

  

A 210m long train takes 6s to cross a man running at 9 kmph in a direction opposite to that of the train. What is the speed of the train? (in kmph)

  

  

  

  

  

If log10 2=0.3010, then value of log10 25 is

  

  

  

  

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

  

  

  

  

  

The ratio of Gomathi’s and Rashmi’s ages is 3:5 respectively. After ten years this ratio will become 2:3. What is Rashmi’s age in years?

  

  

  

  

  

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

  

  

  

  

In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If the ratio is to be 1 : 2, then the quantity of water to be further added is:

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

12.5% * 33% * 40% * 3333.55 =?

  

  

  

  

Complete the series 1, 3, 4, 13, 53, ____

  

  

  

  

A man has divided his total money in his will in such a way that half of it goes to his wife, 2/3 rd of the remaining among his three sons equally and the rest among his four daughters equally. If each daughter gests Rs. 20,000, how much money will each son get?

  

  

  

  

  

 (3² * 4² * 5) ÷ 36 = (?)²-80  

  

  

  

  

  

Which of the following value of x do not satisfy the inequality (x² - 3x + 2 > 0) at all?

  

  

  

  

The salaries of A, B, C are in the ration 2:3:5. If the increments of 15% ,10% and 20% are allowed respectively in their salaries, then   what will be the ratio of their salaries?

  

  

  

  

  

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 70 cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. How many centimeters will the shorter piece be ?

  

  

  

  

Two diagonals of a parallelogram are 72 cm and 30 cm respectively. What is its perimeter?

  

  

  

  

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

  

  

  

  

  

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 ?

  

  

  

  

  

Garima purchased a briefcase with an additional 10% discount on the reduced price after deducting 20% on the labeled price. If the labeled price was Rs. 1400, at what price did she purchase the briefcase?

  

  

  

  

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:

  

  

  

  

The dimensions of a room are 10 m × 7m ×5 m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1 m × 3m, one window is of size 2 m× 1.5 m and the other two windows are of size 1 m × 1.5 m. The cost of painting the walls at Rs. 3 per m2 is

  

  

  

  

Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is:

  

  

  

  

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

  

  

  

  

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 radii of two cylinders are in the ratio 2 : 3 and heights 5 : 3. Calculate ratio of their volumes

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

If 5√5 x 53 + 5-3/2 = 5a+2, then the value of a is:

  

  

  

  

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?

  

  

  

  

A spends 1/4th of his leisure on reading books, 2.3rd of the remaining on watching TV. If he spends 2 hrs on watching TV what is the total time of her leisure?

  

  

  

  

24*22=? ÷8 

  

  

  

  

  

A shopkeeper sold a T.V. set for Rs.17,940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered?

  

  

  

  

  

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?  

  

  

  

  

  

A book dealer allows 16 per cent discount to a retailer and the retailer allows 10 per cent discount to a customer. These both discounts are given on the printed price of the book. If the customer pays Rs 270 for a book and the dealer makes a profit of 5 per cent what is the cost price of the book for the dealer?

  

  

  

  

  

The profit earned after selling a T-shin for Rs. 575/- is the same as loss incurred after selling the same T-shirt for Rs. 295/-. What is the cost price of the T-shirt? 

  

  

  

  

  

A person works on a project and completes 5/8 of the job in 10 days. At this rate, how many more days will he it take to finish the job?

  

  

  

  

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

  

  

  

  

If l + m + n=0, which of the following conditions must l, m and n satisfy so that the system of simultaneous linear equations x + 3y -4z = l, 2x - y - z = m, x + y - 2z = n has at least one ?

  

  

  

  

  

A boat covers a certain distance downstream in 1 hour, while it comes back in 1 ½ hours. If the speed of the stream be 3 kmph. What is the speed of the boat in still water?

  

  

  

  

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first being 10%. What was the second discount rate?

  

  

  

  

  

In a strike called by a union, a part of the 1500 employees of the company reported for work whilethe others were on strike. The next day, 4% of the striking workers reported for work and 6% ofthe working employees joined the strike. If number of striking workers on both days were thesame, how many workers were striking ?

  

  

  

  

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?

  

  

  

  

  

A shopkeeper purchased 25 items at 36 Rs per item. He spent 100 Rs on transportation of these items. What should be the selling price of each item if he wants to make 22.5% as profit?

  

  

  

  

  

7 person can do a piece of work in 21 days. How many persons are required to do a piece of work in 3 days?

  

  

  

  

A company produces on an average 4000 items per month for the first 3 months. How many items it must produce on an average per month over the next 9 months, to average 4375 items per month over the whole?

  

  

  

  

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

  

  

  

  

  

The length of the bridge which a train, 130 metres long and travelling at 45 km per hour, can cross in 30 seconds, is

  

  

  

  

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 average price of three items of furniture is Rs. 15000. If their price are in the ratio 3 : 5 :7, the price of the cheapest item 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:

  

  

  

  

Triangle ABC is right angled at A and has a perimeter of 136. A circle is drawn from A point X on AB such that it is tangent to BC and AC.The radius of the circle is 17 . If BX=m/n where m and n are relatively prime.Then m + n =?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

171.995 x 14.995 ÷ 25 = ?

  

  

  

  

  

A trader mixes three varieties of groundnuts costing Rs. 50, Rs. 20 and Rs. 30 per kg in the ratio 2 : 4 :  3 in terms of weight, and sells the mixture at Rs. 33 per kg. What percentage of profit does he make?

  

  

  

  

A sum of Rs. 725 is lent in the brgining of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the ywar, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest

  

  

  

  

  

A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?

  

  

  

  

Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

  

  

  

  

(0.04)²÷ (0.008)*(0.2)? = (0.2)^?

  

  

  

  

  

If the surface areas of two spheres are in the ratio 4:25, then the ratio of their volumes is:

  

  

  

  

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

  

  

  

  

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

  

  

  

  

When an item is sold for Rs. 18,700, the owner loses 15%. At what price should that plot be sold to get a gain of 15%?

  

  

  

  

If the ratio of sec w to cosec w is 1:7, then the ratio of tan w to cot w is

  

  

  

  

  

If 3x – 5y = 5 and x/x + y = 5/7, then what is the value of x – y ?  

  

  

  

  

  

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?

  

  

  

  

  

A man performs 3/5 of the total journey by rail, 17/20 by bus and the remaining 6.5 km on foot. His total journey is:

  

  

  

  

Let N = 553 + 173 - 723. N is divisible by:

  

  

  

  

(2.0001)^3=?

  

  

  

  

  

The values of the numbers 22004 and 52004 are written one after another. How many digits are there in all

  

  

  

  

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).

  

  

  

  

The length of a rectangle is 18 cm and its breadth is 10 cm. When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same?

  

  

  

  

Two whole numbers whose sum is 72 cannot be in the ratio:

  

  

  

  

If p and q are real numbers; p ≠  0, then the equation 3x – 5 + q = px + 1 has no solution, if

  

  

  

  

A milk man borrowed ?2,500 from two money lenders. For one loan, he paid 5% p.a. and for the other, he paid 7% p.a. The total interest paid for two years was Z 275. How much did he borrow at 7% rate?

  

  

  

  

  

The jogging track in a sports complex is 726 metres in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in:

  

  

  

  

How many litres of pure acid are there in 8 litres of a 20% solution?

  

  

  

  

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?

  

  

  

  

Two pipes A and B can fill a cistern in 12 minutes and 16 minutes respectively. If both the pipes are opened together, then after how much time B should be closed so that the tank is full in 9 minutes?

  

  

  

  

4561 + 3254 =5422 +?  

  

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

A box contains 9 red toys, 7 green toys and 9 blue toys. Each ball is of a different size. The probability that the red ball being selected is the smallest red toy, is:

  

  

  

  

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