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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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. -,.

  

  

  

  

  

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

  

  

  

  

  

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

  

  

  

  

Ganeshi's monthly income is twice that of Jassi's monthly income. Two-third of Jassi's monthly income is equal to Sukhvinder’s monthly income. If Sukhvinder’s annual income is Rs. 2.34 lacs. What is Ganeshi’s monthly income?(In some cases annual income and in some cases monthly income is given.)  

  

  

  

  

  

X, Y, Z, enter into a partnership. X invests some money at the beginning y, invests 4 times  The amount after 8 months and Z invests 3 times the amount after 10 months. If the annual profit be Rs. 8500 then Z’s share is

  

  

  

  

At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?

  

  

  

  

125% of 605 +(4/5) of 218 =?

  

  

  

  

  

The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?

  

  

  

  

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:

  

  

  

  

If 3x – 4y + z = 7; 2x – z + 3y = 19; x + 2y + 2z = 24, then what is the value of z ?

  

  

  

  

A circular park has a path of uniform width around it. The difference between outer and inner circumference of the circular path is 132m. Its width is:

  

  

  

  

12 men take 18 days to complete a job whereas 12 women in 18 days can complete 3/4 of the same job. How many days will 10 me and 8 women together take to complete the same job ?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

85 kg of a mixture contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3 : 1 ?

  

  

  

  

A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in an annual profit of Rs. 40,500 are :

  

  

  

  

  

If the perimeter of a rectangle and a square, each is equal to 80 cm and the difference of their areas is 100sq.cm. The sides of the rectangle are

  

  

  

  

40% of 5/6 is

  

  

  

  

If A = x% of y and B = y% of x, then which of the following is true?

  

  

  

  

  

A man rows downstream at 32 km and 14 km upstream at 13kmph.the speed of the stream is:

  

  

  

  

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. What is the principal?

  

  

  

  

(47 × 588) ÷ (28 × 120) =?

  

  

  

  

  

The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trebled after 5 years, what will be the total interest at the end of the tenth year?

  

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

  

If x varies as y2 + 2 and is equal to 36 when y = 4, find x when y = 12.

  

  

  

  

The cost of 15 kgs. of sugar is Rs. 255, the cost of 17 kgs. of tea is Rs. 1615 and the cost of 22kgs. of rice is Rs. 572. What is the total cost of 18 kgs.of sugar, 21 kgs. of tea and 27 kgs. Of rice?

  

  

  

  

  

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:

  

  

  

  

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:

  

  

  

  

Sterna invested an amount of ?16000 for two years at compound interest and received an amount of ? 17640 on maturity. What is the rate of interest?

  

  

  

  

  

If 3x – 3x-1 – 18, then the value of xx is:

  

  

  

  

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

  

  

  

  

Mayank, Mirza, Little and Jaspal bought a motorbike for $60.00. Mayank paid one half of the sum of the amounts paid by the other boys, Mirza paid one third of the sum of the amounts paid by the other boys; and Little paid one fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?

  

  

  

  

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:

  

  

  

  

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 ?

  

  

  

  

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?

  

  

  

  

A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?

  

  

  

  

The market value of a 10.5% stock, in which an income of Rs. 756 is derived from investing Rs. 9000, brokerage being ¼%, is

  

  

  

  

In a test, a candidate secured 336 marks out of maximum marks "x", If the maximum marks 'x'were converted into 400 marks, he would have secured 192 marks. What were the maximum marks of the test?

  

  

  

  

  

Divide ?2379 into 3 parts so that their amounts after 2,3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is

  

  

  

  

  

A large watermelon weighs 20 kg with 96% of its weight being water. It is allowed to stand in the sun and some of the water evaporates so that only 95% of its weight is water. Its reduced weight will be:

  

  

  

  

If o = 4/3 and h = 6 then h/o + 4/o2 =

  

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

337.62 + 8.591 + 34.4 =?

  

  

  

  

A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?

  

  

  

  

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?

  

  

  

  

Rs 4830 is divided among Abhishek, Dishant and Prashant such that if Abhishek's share diminishes by Rs 5, Dishant's share diminishes by Rs 10 and Prashant's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find the Dishant's original share?

  

  

  

  

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

  

  

  

  

  

A number when decreased by 14% of it, gives 215. What is the number?

  

  

  

  

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

  

  

  

  

(3080 + 6160) +28 = ?

  

  

  

  

  

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

  

  

  

  

Water flows into a reservoir which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m X 0.2m) at 20kmph. In what time will the water level be 8?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

A, B, and C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire Charges to be paid by B:

  

  

  

  

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?

  

  

  

  

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:

  

  

  

  

The value of log2(log3 625) is

  

  

  

  

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

  

  

  

  

Pure milk cost  3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at  per litre. How many litres of water does he add?

  

  

  

  

  

If √2n = 64, then the value of n is:

  

  

  

  

Which family has the lowest average savings?

  

  

  

  

Kamya purchased an item of Rs. 46,000 and sold it at loss of 12 per cent. With that amount she purchased another item and sold it at a gain of 12 per cent. What was her overall gain/loss?

  

  

  

  

  

345/23 /5 = ?

  

  

  

  

  

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:

  

  

  

  

Five-third of the smallest side of a right angled triangle is equal to its largest side. Also the length of the second largest side of triangle is 8 cm. What is the sum of the smallest and the largest sides of that triangle together?

  

  

  

  

  

 (3² * 4² * 5) ÷ 36 = (?)²-80  

  

  

  

  

  

A salesman makes a commission of x percent on the first Rs. 2,000 worth of sales in any given month and y percent on all further sales during that month. If he makes Rs. 700 from Rs. 4,000 of sales of March and he makes Rs. 900 from Rs. 5,000 of sales in April, what is the value of x?

  

  

  

  

Two busess travel to a place 20 kmph and 40 kmhr. If the second bus takes 6 hrs. less than the fixed for the journey the length of the journey is:

  

  

  

  

74.2% of 7685.4 +?% of 5546.8 = 6750

  

  

  

  

  

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?

  

  

  

  

A shopkeeper sold sarees at Rs. 266 each after giving 5% discount on labeled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?

  

  

  

  

  

If the cube root of the square root of a number is 5, what is the number?

  

  

  

  

  

The value of √0.121 is:

  

  

  

  

16 men can complete a work in 35 days. In many days can 28 men complete the same piece of work?

  

  

  

  

  

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?

  

  

  

  

  

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 Boat running downstream covers a distance of 16 km in 2 hours while for covering the same Distance upstream it takes   4 hours. What is the speed of the boat in still water?

  

  

  

  

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit

  

  

  

  

The distance between the points (3, -4) and (3, 3) is

  

  

  

  

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

  

  

  

  

The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre.

  

  

  

  

A and B weave a carpet in 10 days and 15 days respectively. They begin to work together but B leaves after 2 days. In what time will A complete the remaining work

  

  

  

  

Sakshi can do a piece of work in  20 days. Tanya is 25% more efficient tha Sakshi. The number of days taken by Tanya to do the same piece of work is

  

  

  

  

  

Solve the simultaneous inequalities: 13x + 4 < 5x +20 andl2x+5>9x + 14.

  

  

  

  

If x% of 500, = y% of 300 and x% of y% of 200 = 60, then x = ?

  

  

  

  

  

Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

  

  

  

  

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 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?

  

  

  

  

  

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

  

  

  

  

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 shopkeeper purchased 150 identical pieces of calculators at the rate of Rs. 250 each. He spent an amount of Rs .2500 on transport and packing. He fixed the labeled price of each calculator at Rs. 320. However, he decided to give a discount of 5% on the labeled price. What is the percentage profit earned by him?

  

  

  

  

  

A singles tennis tournament is held, in which 30 men participated. If a player is eliminated as soon as he loses a match, how many matches are required to determine the winner

  

  

  

  

In a house, there are dogs, cats and parrot in the ratio 3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7, what is the minimum of pets in the house?

  

  

  

  

There are two examination rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is;

  

  

  

  

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