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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   Time Left : 00 : 30    : 00

9050 ÷ 40=?  

  

  

  

  

  

If x = (7 - 4√3),then the value of (x + 1/x) is:

  

  

  

  

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

  

  

  

  

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

  

  

  

  

A pump can fill a tank with water in 2 hours. Because of a leak, it tookhours to fill the tank. The leak can drain all the water of the tank in:

  

  

  

  

3 ? 14 55 274 1643

  

  

  

  

  

If x3+ ax2+bx +6 has (x – 2) as a factor and leaves a remainder 3 when divided by (x – 3), the value of a and b respectively are

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

  

Mr. Gangadhar, Mr. Ramesh and Mr. Shridhar together earned 19800. The ratio of earnings between Mr. Gangadhar and Mr. Ramesh 2:1 while that between Mr. Ramesh andMr. Shridhar is 3:2. How much did Mr. Ramesh earn?

  

  

  

  

  

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

  

  

  

  

The monthly salaries of two persons are in the ratio of 4:7. If each receives an increase of Rs.25 in the salary, the ratio is altered to 3:5. Find their respective salaries.

  

  

  

  

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

  

  

  

  

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

  

  

  

  

A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

171.995 x 14.995 ÷ 25 = ?

  

  

  

  

  

A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is above the cost price by:

  

  

  

  

  

Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was:

  

  

  

  

n4 − 20n2 + 4 = k where k is a prime number and n is an integer. How many such k exist?

  

  

  

  

  

76% of 1285 = 35% of 1256 + ?

  

  

  

  

  

A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed?

  

  

  

  

The ratio between the whole expenses on taxes for every year and the entire expenses on fuel and transports for every year is around

  

  

  

  

  

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?

  

  

  

  

  

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

  

  

  

  

In an examination of n questions, a student replied 15 out of the first 20 questions correctly. Of the remaining questions, he answered one-third correctly. All the questions have the same credit. If the student gets 50% marks, the value of n is:

  

  

  

  

A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrical opposite fixed gates A and B on the boundary is 7 meters. The distance of the pole from one of the gates is:

  

  

  

  

XYZ is an equilateral triangle with vertices X (6, -2), Y (2, - 1) and Z (4, -2). If ZA is one of its medians find the length of the median

  

  

  

  

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?

  

  

  

  

What is the slope of the line given by the equation 3w - 7 = 6 - 2y?

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

If √2n = 64, then the value of n is:

  

  

  

  

How many plants will be there in a circular bed whose outer edge measure 30 cms, allowing 4 cm2 for each plant ?

  

  

  

  

  

64% of 562.8 = 25% of ?

  

  

  

  

  

A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. B alone will be able to complete the same working in:

  

  

  

  

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

  

  

  

  

The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by:

  

  

  

  

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?

  

  

  

  

  

4.59 x 1.8 ÷3.6 + 5.4 of 1/9 – 1/5 =?

  

  

  

  

Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at, compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?

  

  

  

  

  

A, B and C 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?

  

  

  

  

Of an amount, 20% of 25% of 30% is Rs. 75. Then what is the original number?

  

  

  

  

  

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?

  

  

  

  

Euclid had a triangle in his mind .The longest side is 20 and the other side is 10.Area of the triangle is 80.The third side is

  

  

  

  

Deepa bought a calculator at 30% discount on the listed price. Had she not got the discount, she would have paid  82.50 extra. At what price did she buy the calculator ?

  

  

  

  

  

A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?

  

  

  

  

40219+ 38924 =?+67713

  

  

  

  

  

The average weight of 45 students in a class is 52 kg. Five of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?

  

  

  

  

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

  

  

  

  

Sam 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. What was his percentage profit?

  

  

  

  

  

The percentage profit earned by selling an article 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 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?

  

  

  

  

Rajesh walks to and fro to a shopping mall. He spends 30 minutes shopping. If he walks at speed of 10 km an hour, he returns to home at 19.00 hours. If he walks at 15 km an hour, he returns to home at 18.30 hours. How fast must he walk in order to return at 18.15 hours?

  

  

  

  

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

  

  

  

  

(0.04)²÷ (0.008)*(0.2)? = (0.2)^?

  

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

The ratio between rhe 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 ?

  

  

  

  

  

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:

  

  

  

  

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?

  

  

  

  

If  x *y=x2 + y2 – xy, then the value of 9*11 is:

  

  

  

  

If α, β are the roots of (x –√ 3) (x –√ 5) =√ 7, the roots of (x –α) (x –β) +√ 7= 0 are

  

  

  

  

If a * b – 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to:

  

  

  

  

What would be the compound interest obtained on an amount of rs 8,800/- at the rate of 16 p.c.p.a. after 2 years?

  

  

  

  

  

If x = 5 + 2√6, then (x -1)/√x is equal to:

  

  

  

  

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?

  

  

  

  

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

  

  

  

  

In how many ways can the letters of the word ’RUMOUR’ be arranged

  

  

  

  

345/23 /5 = ?

  

  

  

  

  

A candidate appearing for an examination has to secure 35% marks to pass. But he secured only 40 marks and failed by 30 marks. What would be the maximum marks of test?

  

  

  

  

  

In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together whereas 2 particular green toys are always together?

  

  

  

  

The slope of the line Joining A (-4. 6) and B (5, 3) is

  

  

  

  

Which five consecutive months have the lowest average cost per man-month under the new technique?

  

  

  

  

On a day of fluctuating market prices, the share price of XYZ Ltd. ends with a gain, i.e., it is higher at the close of the day compared to the opening value. Which trader got the maximum return on that day?

  

  

  

  

  

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?

  

  

  

  

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 ?

  

  

  

  

[log(a2/bc)+log(b2/ac)+log(c2/ab)] is equal to

  

  

  

  

A shopkeeper sells some toys at Rs. 250 each. What percent profit does he make? To find the answer, which of the following information given in Statements I and II is/are necessary? I. Number of toys sold. II. Cost price of each toy.

  

  

  

  

  

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?

  

  

  

  

  

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per  annum is:

  

  

  

  

There are 12 pipes that are connected to a tank. Some of them are fill pipes and the others are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain the tank completely in 6 hours. If all the fill pipes and drain pipes are kept open, an empty tank gets filled in 24 hours. How many of the 12 pipes are fill pipes?

  

  

  

  

(6)² + (8)² + (2)² - (9)²=?

  

  

  

  

  

A man invested 1/3 of his capital at 7%, 1/4 at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is

  

  

  

  

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

  

  

  

  

  

(2√27-√75+√12) is equal to:

  

  

  

  

The number of non-negative real roots of 2x – x – 1 = 0 equals

  

  

  

  

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining works?

  

  

  

  

  

The average of 10 numbers is 40.2. Later it is found that two  numbers have been wrongly copied. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.

  

  

  

  

  

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 and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

  

  

  

  

An article when sold for 200 fetches 25 per cent profit. What would be the percentage profit/loss if 6 such articles are sold for 1,056?

  

  

  

  

  

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

  

  

  

  

6, 12, 48, 100, 384, 768, 3072 Find out the wrong number in the series.

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

1/4 of 3/5 of 6/5 of a number is 54 what is the number?

  

  

  

  

  

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:

  

  

  

  

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