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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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

  

  

  

  

Which of the following element  is lightest and has the atomic number 1?

  

  

  

  

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 train after travelling 30 km from X meets with an accident and proceeds at 3/4 of the former speed and reaches by 45 min. late. Had the accident happened 10 kms further one, it would have arrived 15 min sooner. Find the original speed and distance.

  

  

  

  

(94)2 + (?)2 = (145)2- (56)2- 3869 //

  

  

  

  

  

A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr The man’s speed against the current is?

  

  

  

  

A man invested 1/3 of his capital at 7%, ¼ at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is:

  

  

  

  

If x=1+2a+3a2+4a2+……( -1 < a < 1 ) and y=1+3b+6b2+10b3+……( -1 < b < 1 )then find 1+ab+(ab)2+(ab)3+….. in terms of x and y.

  

  

  

  

If (√3)5 x 92 = 3n x 3√3, then the value of n is:

  

  

  

  

Consider a sequence where the nth term, tn=n/(n+2), n = 1, 2, .... The value of t3 x t4 x t5 x ....... x t53 equals

  

  

  

  

  

A card is drawn from a pack of 52 cards .The probability of getting a queen of club or king of heart is

  

  

  

  

The total number of workers working in the shifts 1230 P.M.- 6.30 P.M. and 6.30 P.M.-12.30 A.M. in factory E isapproximately what per cent of the total number of workers working in the same shifts in Factory A?

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are

  

  

  

  

  

(1/10)18 – (1/10)20 = ?

  

  

  

  

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

  

  

  

  

2 1/9 * 1 2/19 ÷ 2 ? =?-1½  

  

  

  

  

  

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

  

  

  

  

  

The cost of 9 kgs. of sugar is Rs. 279. What is the cost of 153 kgs. of sugar?

  

  

  

  

  

4561 + 3254 =5422 +?  

  

  

  

  

  

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?

  

  

  

  

  

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

  

  

  

  

The average of five consecutive numbers is n. If the next two numbers are also included, the average will :

  

  

  

  

There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

  

  

  

  

A Started a business with 4500 and another person B joined after some period with  3,000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2:1  

  

  

  

  

  

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

  

  

  

  

The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

  

  

  

  

5982 + 1345 + 736-? = 4588 ÷ 992

  

  

  

  

  

A man bought some oranges at Rs. 10 per dozen and bought the same number of oranges at Rs. 8 per dozen. He sold these oranges at Rs. 11 per dozen and gained Rs. 120. The total number oranges bought by him was:

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:

  

  

  

  

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?  

  

  

  

  

  

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

  

  

  

  

  

The H.C.F and L.C. M. of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is:

  

  

  

  

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

  

  

  

  

  

In how many ways is it possible to choose a white square and a black square on a chess board so that the squares must not lie in the same row or column?

  

  

  

  

A man bought some shares at a price of 16 shares for Rs. 100 and sold them at a price of Rs. 10 each. Find his profit or loss percentage?

  

  

  

  

The cross-section of a canal is trapezium in shape. The canal is 12m wide at the top and 8 m wide at the bottom. If the area of the cross-section is 840sq.m, the depth of the canal is:

  

  

  

  

A man takes 20 days to reach the point B under normal circumstances. But, due to the increasingly hostile weather conditions the distance they travel every day reduces by 20%. In how many days would the man reach the point B, taking into consideration weather conditions?

  

  

  

  

In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

If 5+2√3/7+√3=a+b√3,then :

  

  

  

  

If 3a = 4b = 6c and a + b + c = 27√29, then √a2+b2+c2 is

  

  

  

  

The price of a t.v. set worth Rs. 20,000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first instalment be paid at the time of purchase, then the value of the best instalment covering the interest as well will be

  

  

  

  

Five years ago the ratio of the ages of A and B 2 : 3 and after 7 years it will be 4 : 5 What is the present age of  ‘A’?

  

  

  

  

  

5% of (25% of Rs. 1600) is

  

  

  

  

What annual instalment will discharge a debt of 4,200 due in 5 yearsat 10% simple interest?

  

  

  

  

  

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?

  

  

  

  

If √18x14xX=84 then x equals:

  

  

  

  

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent 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

  

  

  

  

The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?

  

  

  

  

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

  

  

  

  

The total cost of major investment projects sanctioned in andhra pradesh in 1995 was Rs.63,243 crores. This has increased by 16% in 1996. Approximately what percentage of the cost of investment projects sanctioned are for chittoor and khammam districts together in 1996?

  

  

  

  

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?

  

  

  

  

P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?

  

  

  

  

P lent Rs.600 to Q for 2 years and Rs.150 to R for 4 years and received altogether from both Rs.90 as interest. Find the rate of interest, simple interest being calculated

  

  

  

  

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 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?

  

  

  

  

A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

What length of solid cylinder 2 cm in diameter mush be taken to cast into a hollow cylinder of external diameter 12 cm, 0.25 cm thick and 15 cm long?

  

  

  

  

The percentage profit earned by selling an articles for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

In 1994, students seeking jobs in finance earned Rs. _____ more than those opting for software (in lakhs)

  

  

  

  

If 2x + 3y -31, y – z - 4 and x + 2z – 11, then what is the value of x + y + z ?

  

  

  

  

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?

  

  

  

  

From a number of apples, a man sells half the number of existing apples plus 1 to the first customer, sells 1/3rd of the remaining apples plus 1 to the second customer and 1/5th of the remaining apples plus 1 to the third customer. He then finds that he has 3 apples left. How many apples did he have originally?

  

  

  

  

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday 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?

  

  

  

  

Volume of a right circular cylinder is 450 cm3and its curved surfaces area is 200 cm2. Find its radius?

  

  

  

  

A circular cylinder can hold 61.6 c.c of water. If the height of the cylinder is 40 cm and the outer diameter is 16 mm, then the thickness of the material of the cylinder is

  

  

  

  

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

  

  

  

  

A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?

  

  

  

  

9 examiners can examine a certain number of answer books in 12 days by working 5 hours a day. How many hours in a day should 4 examiners work to examine twice the number of answer books in 30 days?

  

  

  

  

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

  

  

  

  

The L.C.M of 22, 54, 108, 135 and 198 is:

  

  

  

  

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.)  

  

  

  

  

  

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. -,.

  

  

  

  

  

The cost of 8 Sharpeners and 12 Pens is Rs. 76/- What is the cost of 20 Sharpeners and 30 Pens?  

  

  

  

  

  

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?

  

  

  

  

An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles. If three marbles are picked at random, what is the probability that at least one is yellow?

  

  

  

  

  

The area of the triangle whose vertices are (a, a), (a + 1, a + 1), (a + 2, a) is :

  

  

  

  

The present worth of Rs. 169 due in 2 years at 4% per annum compound interest is

  

  

  

  

A juice shop requires 35 kgs. of sugar for seven days. How many kgs. of sugar will it require for 50 days?

  

  

  

  

  

If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is:

  

  

  

  

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?

  

  

  

  

Applied to a bill for Rs. 1,00,000, the difference between a discount of 40% and two successive discounts of 36% and 4% is

  

  

  

  

What is the ratio of the number of units manufactured in the year 2003 to the number of units manufactured in the year 2007?

  

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

The H.C.F of 2/3, 8/9, 64/81 and 10/27 is:

  

  

  

  

I used to save 20% of my income . When my income was raised by 50% and if I should save the same amount as before , what per cent of my income can I afford to spend.

  

  

  

  

Ajit Singh wants to travel a distance of 15 kms. He starts his journey by Type A vehicle. After travelling 6 kms, he changes the vehicle to Type B for the remaining distance. How much money will he be spending in all?

  

  

  

  

  

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