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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A test has 50 questions. A student scores 1 mark for a correct answer, -1/3 for a wrong answer,and –1/6 for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student cannot be less than

  

  

  

  

Within a square ground with one side 20 m , there is a square path that is 4 m in breadth. What is the area of the park without the path

  

  

  

  

If log10 5+ log10 (5x+1)= log10 (x+5)+1, then x is equal to

  

  

  

  

A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?

  

  

  

  

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

  

  

  

  

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

  

  

  

  

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 thief steals a car and drives it at 15 km/hr. The theft has been discovered after one hour and the owner of the car sets off in another car at 25 km/hr. When will the owner overtake the thief from the starting point?

  

  

  

  

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

  

  

  

  

Tarun got 30% concession on the labeled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labeled price?

  

  

  

  

  

If  x1/3+y1/3+z1/3=0, then the values of (x+y+z)3 will be

  

  

  

  

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?

  

  

  

  

In a watch, the minute hand crosses the hour hand for the third time exactly after every 34hrs., 18 min., 15 seconds of watch time. What is the time gained or lost by this watch in one day?

  

  

  

  

  

40.83 x 1.02 x 1.2 =?

  

  

  

  

Which of the following is true?

  

  

  

  

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

  

  

  

  

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 5x + 9 > 3x + 19, what is the range of values x can take?

  

  

  

  

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

  

  

  

  

The cost price of 19 articles is equal to the selling price of 16 articles. Gain percent is:

  

  

  

  

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  

  

  

  

  

  

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

  

  

  

  

X sells 6 horses and buys 9 Cows, thus in creasing his cash by Rs 90. He then at the same prices buys 9 horses and sells 15 Cows, thus decreasing his cash by Rs 91. Find the price of each Cow.Assume he had nil balance at the start.

  

  

  

  

675.456 + 12.492 X 55.671 = ?

  

  

  

  

  

Evaluation of 83 × 82 × 8-5    is:

  

  

  

  

Three friends A, B and C run around a circular track of length 120 metres at speeds of 5 m/s, 7 m/sec and 15 m/sec, starting simultaneously from the same point and in the same direction. How often will the three of them meet?

  

  

  

  

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

  

  

  

  

How many 4-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed?

  

  

  

  

39815 + 42305 = 122678-?

  

  

  

  

  

√7921 *51+374 = (?)3

  

  

  

  

  

If the area of an equilateral triangle is 24√3 sq. cm, then its perimeter is

  

  

  

  

What is the missing number in this series: 8 2 14 6 11 ? 14 6 18 12

  

  

  

  

The sum of the radius of the base and height of a solid cylinder is 40m. If the total surface area of the cylinder is 1760 m2 its volume is:

  

  

  

  

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

  

  

  

  

A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point c midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?

  

  

  

  

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?

  

  

  

  

The average of runs of a cricket player of 10 innings was 32.How many runs must he make in his next innings so as to increase his average of runs by 4 ?

  

  

  

  

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

  

  

  

  

If 0 < a< 1, then the value of a + 1/a is:

  

  

  

  

The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will It cover in 5 revolutions use (π=22/ 7)

  

  

  

  

  

415% of 620 =?  

  

  

  

  

  

By investing Rs.1620 in 8% stock .Michael earns Rs. 135. The stock is then quoted at

  

  

  

  

A shopkeeper buys pencils at 9 for Rs. 16 and sells them at 11 for Rs. 22. Find out his loss or gain percentage?

  

  

  

  

10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days?

  

  

  

  

(16)²- 5³ + √169 = (?)²  

  

  

  

  

  

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

  

  

  

  

A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was;

  

  

  

  

In a lottery there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

56484-3284-7125 =?  

  

  

  

  

  

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27kg of sugar costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?

  

  

  

  

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

  

  

  

  

Angle 'N. of the quadrilateral ABCD is 260 less than angle B. Angle B is twice angle C and angle C is 100 more than the angle D. What would be the measure of angle A?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

If x = 1 – q and y = 2q + 1, then for what value of q, x is  equal to y?

  

  

  

  

5, 6, 3, 4, 1, ____

  

  

  

  

For prime numbers p and q, p + q = 102 and p > q. What is the least possible value of p − q?

  

  

  

  

  

His report, including thorough notes on the background investigation, were well received

  

  

  

  

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is:

  

  

  

  

If a material is sold for Rs.34.80, there is a loss of 25%. Find out the cost price of the material?

  

  

  

  

A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

  

  

  

  

In what time will a train 100 meters long cross an electric pole, if its speed be 144 km/hr?

  

  

  

  

If the area of a circle decreases by 36%, then the radius of a circle decreases by

  

  

  

  

  

Two pipes A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?

  

  

  

  

The largest value of min (2 + x², 6 - 3x) when x > 0 is

  

  

  

  

12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

  

  

  

  

960 839 758 709 ? 675

  

  

  

  

  

A, B and C went to buy ration from a wholesale market. They had a combined sum of Rs 900. A spent 80%, B spent 70% and C spent 75%of their respective amounts. Now the ratio of amounts left with them is 4 : 9 : 10. Find the ratio of amounts they had in the beginning.

  

  

  

  

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:

  

  

  

  

What will be the cost of gardening  1metre broad boundary around a rectangular plot having perimeter of 340 meters at the   rate of Rs. 10 per square metres?

  

  

  

  

  

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

  

  

  

  

An automobile financier claims to be leading money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

  

  

  

  

If y(u) = 2u2 + 2 then what is the value of y, if u = 3?

  

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

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?

  

  

  

  

In a river flowing at 2 km/hr, a boat travels 32 km upstream and then returns downstream to the starting point. If speed in still water be 6 km/hr, find the total journey time.

  

  

  

  

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

  

  

  

  

The average height of 25 boys is 1.4 m. When 5 boys leave the group, then the average height increase by 0.15 m. What is the average height of the 5 boys who leave ?

  

  

  

  

P beats Q by 5 seconds in a race of 1000m and Q beats R by 5 metres in a race of 100m. By how many seconds does P beats R in a race of 1000 m?

  

  

  

  

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

  

  

  

  

What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum?

  

  

  

  

The perimeter of a right-angled triangle is 60 cm. Its hypotenuse is 26 cm. The area of the triangle is

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

3x=5y=45z, then

  

  

  

  

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

  

  

  

  

The average age of 30 students is 9 years .If the age of their teacher is included ,it becomes 10 years . The age of the teacher (in years ) is

  

  

  

  

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

  

  

  

  

√841x √64÷√25=?  

  

  

  

  

  

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.

  

  

  

  

The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2. The height of the mountain is

  

  

  

  

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