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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Aman gave 40% of the amount he had to Rohan. Rohan in turn gave one-fourth of what he received from Aman to Sahil. After paying Rs. 200 to the taxi driver out of the amount he got from Rohan, Sahil now has Rs. 600 left with him. How much did Aman have?

  

  

  

  

Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs. 320, what percentage of profit would he have made if he had sold the transistor at the marked price?

  

  

  

  

Two boats, traveling at 5 and 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms) one minute before they collide?

  

  

  

  

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 ?

  

  

  

  

If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 7/10. What is the original fraction?

  

  

  

  

  

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:

  

  

  

  

The average age of A and B is 20-years. If C were to replace A, the average would be 19 and if C were to replace B, the averge wouldbe21. What are the age ofA, Band C?

  

  

  

  

  

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:

  

  

  

  

Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

  

  

  

  

The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly:

  

  

  

  

A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 2/5 of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time, each persons now working 9 hours a day.

  

  

  

  

The number' of students studying Agriculture in the year 1999 is what per cent of the total number of students studying rest of the disciplines together during that year? (Rounded off to two digits after decimal)

  

  

  

  

  

4561 + 3254 =5422 +?  

  

  

  

  

  

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?

  

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

The weights in kilograms of 10 students are 52, 45, 31, 35, 40, 55, 60, 38, 44, 36. If 44 is replaced by 46 and 40 is replaced by 35 then new median will be

  

  

  

  

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

  

  

  

  

A car travelling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

  

  

  

  

No bird is an animal. All birds are insects (I)No insect is animal (II)No animal is insect

  

  

  

  

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

  

  

  

  

The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?

  

  

  

  

A watch ticks 90 times in 95 secs. And another watch ticks 315 times in 323 secs. If they start together, how many times will they tick together in first hour?

  

  

  

  

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

  

  

  

  

In a 100m race A cover the distance in 36 seconds and B in 45 seconds. In this race A beats B by

  

  

  

  

A closed wooden box of thickness 0.5 cm and length 21 cm, width 11 cm, and height 6 cm, is panted on the inside. The cost of painting is Rs 70. What is the rate of painting in rupees per sq. cm?

  

  

  

  

Find the slope of the line given by the equation y + 2 = 6/8 (c – 9)?

  

  

  

  

  

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)

  

  

  

  

  

The eldest is

  

  

  

  

7414 + 3698 + 1257 + 1869 = ?

  

  

  

  

  

2418.065 + 88 ÷ 14.2 X 6 = ?

  

  

  

  

  

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

  

  

  

  

If e varies directly as n and e/d = 10, then what is the value of e when d = 30?

  

  

  

  

  

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

  

  

  

  

A milkman claims to sell milk at the cost price but actually mixes water and milk in the ratio1 : 4. By selling this product, his revenue is Rs. 600 every day. The amount of milk remains thesame every day. One day his revenue is Rs. 560 by selling the product at its normal fixed price ofRs. 10 per litre. What is the proportion of water in milk on that day ?

  

  

  

  

I f 09/12/2001 happens to be Sunday, then 09/12/1971 would have been at

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

How much of 200 Rs / kg type tea should be mixed with 12 kg of 100 Rs / kg type tea to make 160 Rs / kg of branded tea ?

  

  

  

  

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6.25% p.a for 2 years. Find his gain in the transaction per year.

  

  

  

  

P ( - 4, b ) and Q ( 2, b + 2 ) are 2 points and the co-ordinates of the middle point of PQ are ( - 2, 2) . The value of b is

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

Find C.P when S.P =Rs 40.60, gain =16%

  

  

  

  

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:

  

  

  

  

The compound interest on any sum at the rate of 5% lb two years is ?512.50. Find the sum.

  

  

  

  

  

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

  

  

  

  

  

How many total numbers of not more than 20 digits that can be formed by using the digits 0 ,1 ,2 ,3 , and 4 is

  

  

  

  

  

A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is:

  

  

  

  

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

  

  

  

  

54.35 × 39.87 ÷ 13.35 =?

  

  

  

  

  

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

  

  

  

  

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 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

  

  

  

  

  

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:

  

  

  

  

The boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls are adults, the percentage of students who are not adults is:

  

  

  

  

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

  

  

  

  

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B

  

  

  

  

Simplify the expression (1+i)6+(1+i)4 .

  

  

  

  

A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half 1/2. What is the number of students in the class?

  

  

  

  

Mohan deposits Rs.150 on the first of every month starting from 1st Jan1985, in the recurring deposit scheme of a bank which allows simple interest @ 6% p.a.on the sum standing to his credit at the end of each month. What is the amount, Mohan is entitled to on 31st Dec, 1985

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

  

74.2% of 7685.4 +?% of 5546.8 = 6750

  

  

  

  

  

A boatman goes 2 km against the current of the stream in 1 hour and goes 1km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

  

  

  

  

The Ratio of Science and Arts students in a college is 4:3. If 14 Science students shift to Arts then the ratio becomes 1:1. Find the total strength of students in both science and arts together

  

  

  

  

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is:

  

  

  

  

Given √5 = 2.2361, √3 = 1.7321, then 1/√5 - √3 is equal to;

  

  

  

  

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

  

  

  

  

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

  

  

  

  

A rectangle has width a and length b. If the width is decreased by 20% and the length is increases by 10%, then what is the area of the new rectangle in percentage compared to ’ab’ ?

  

  

  

  

Four cards are drawn at random from a pack of 52 plating cards. Find the probability of getting all the four cards of the same suit

  

  

  

  

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

  

  

  

  

0.01 X 0.1 - 0.001 ÷10 + 0.01 = ?

  

  

  

  

  

A man sold two steel chairs for X 500 each. On one he gains 20% and on other, he loses 12%. How much does he gain or lose in the whole transaction?

  

  

  

  

  

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

  

  

  

  

  

The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:

  

  

  

  

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

  

  

  

  

A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. The average age of the family is

  

  

  

  

There are two sections A and B of a class, consisting of 36 and 44 students’ respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.

  

  

  

  

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?

  

  

  

  

Marks obtained by Komal in English are equal to 1/3rd of marks obtained by her in Music. Total marks obtained by her in both the subjects is 160. How many marks did she secure in Music?

  

  

  

  

  

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

  

  

  

  

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

  

  

  

  

What is the ratio of the number of aspirants appearing for the banking exam from Institute A,C, and E together to the number of aspirants appearing for the exam from Institute B, D and F together?

  

  

  

  

5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a woman and a boy are in the ratio:

  

  

  

  

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?

  

  

  

  

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 log10 2=0.3010 and log10 7=0.8451, then the value of log10 2.8 is

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

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 capacity of a tank of dimensions (8 m x 6 m x 2.5 m) is

  

  

  

  

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.

  

  

  

  

  

If the side of a square is increased by 3 cm., the area increases by 33 cm. The side of the square is

  

  

  

  

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

  

  

  

  

  

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