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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The number of positive integers n in the range 12  ? n? 40 such that the product (n – 1) (n –2)…3.2.1 is not divisible by n is 

  

  

  

  

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

  

  

  

  

7 person can do a piece of work in 21 days. How many persons are required to do a piece of work in 3 days?

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

  

(16)²- 5³ + √169 = (?)²  

  

  

  

  

  

x men working x hours per day can do x units of a work in x days. How much work can be completed by y men working y hours per day in y days?

  

  

  

  

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?

  

  

  

  

If 8e + 2p = 12 and y – 3p = 4, then what is the value of y?

  

  

  

  

  

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?

  

  

  

  

  

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

  

  

  

  

The value of log2(log3 625) is

  

  

  

  

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 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

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

  

  

  

  

A Rs. 35000 crore JSW Steel Plant was inaugurated in November 2008 in ----

  

  

  

  

  

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

  

  

  

  

If 2n – 1 + 2n + 1 = 320, then n is equal to:

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

  

(0.04)? x (0.2)? ÷ (0.008)^2 =(0.2)?  

  

  

  

  

  

A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it 90 days. In what time can A alone do it?

  

  

  

  

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;

  

  

  

  

If A : B = 5 : 7 and B: C = 6 : 11, then A : B : C is :

  

  

  

  

The value of 1001 + 11 of 13 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:

  

  

  

  

If √(x-y)(y+2)=7, x and y being positive whole numbers, then the values of x and y respectively are:

  

  

  

  

A man can row three-quarters of a kilometer against the stream in 11 ¼ minutes. The speed (in km/hr) of the man in still water is:

  

  

  

  

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;

  

  

  

  

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

  

  

  

  

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

  

  

  

  

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced?

  

  

  

  

If the perimeter of a square is 80, what is the area of the square?

  

  

  

  

  

If a = log2, b = log 3 and c = log 7 then find the value of log67 in terms of a, b and c.

  

  

  

  

If X and Y are positive integers and X + Y = 1, what is the least value of (X+1/X)2 + (Y+1/Y)2 ?

  

  

  

  

In two triangles, the ratio of the areas is 4 : 3 and ratio of their heights is 3 : 4. Find the ratio of their bases

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

9050 ÷ 40=?  

  

  

  

  

  

5434+5782=? * 25 

  

  

  

  

  

What will come in place of question mark (?) 362.721 + 431.027 - 118.079 = 521.211 + ?

  

  

  

  

  

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. what is B's contribution in the capital?

  

  

  

  

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:

  

  

  

  

If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?

  

  

  

  

The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm. The radius of the square is

  

  

  

  

By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg, a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg. 3 kg of the other brand is added, then how much per kg does the other band cost?

  

  

  

  

345/23 /5 = ?

  

  

  

  

  

The L.C.M. of 6x2 – 5x – 6 and 12x2 + 11x + 2 is

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:

  

  

  

  

How many factors of 25*36*52 are perfect squares?

  

  

  

  

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:

  

  

  

  

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

  

  

  

  

Given the quadratic equation x2- (A - 3) x - (A - 2), for what value of A will the sum of the squares of the roots be zero?

  

  

  

  

From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the uncut to the cut portion?

  

  

  

  

The average number of printing error per page in a'bod 512 pages is 4. If the total number of printing error ml first 302 pages is 1,208, the average number of printinget per page in the remaining pages is'

  

  

  

  

  

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

  

  

  

  

The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. What is the time?

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

  

  

  

  

892.7 – 573.07 – 95.007 =?

  

  

  

  

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?

  

  

  

  

A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is:

  

  

  

  

  

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.

  

  

  

  

What will come in place of both the question marks(?) in the following question?  (?)¹·³/45 = 75/(?)¹·7

  

  

  

  

  

The H.C.F. of 2923 and 3239 is :

  

  

  

  

What is the percentage increase in expenditure from 1996 to 1998?

  

  

  

  

  

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

  

  

  

  

  

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km

  

  

  

  

If log10 2=0.3010, then value of log10 25 is

  

  

  

  

The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

  

  

  

  

If 2p + 3q = 18 and 2p – q  =2, then 2p + q =?

  

  

  

  

What should come in place of question mark (?) 121 114 105 94 81 66 (?)

  

  

  

  

  

The system of equations x + 2y = 3 and 2x + 4y = 3, has

  

  

  

  

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?

  

  

  

  

The banker’s discount on a sum of money for 1(1/2) years is Rs. 558 and the true discount on the same sum for 2 yers is Rs. 600. The rate percent is

  

  

  

  

What percent of 7.2 kg is 18 gms ?

  

  

  

  

(98x198)÷(48x148)=?

  

  

  

  

  

40.83 x 1.02 x 1.2 =?

  

  

  

  

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 :

  

  

  

  

  

A train of length 150 meters takes 40.5 sec to cross a tunnel of length 300 meters. What is the speed of the in km/hr

  

  

  

  

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

  

  

  

  

  

What percentage of numbers from 1 to 70 has 1 or 9 in the unit's digit?

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

  

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 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5 ?`

  

  

  

  

180% of 25501 + 50% of 28999 = ?

  

  

  

  

  

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?

  

  

  

  

A batsman scored 110 runs which included 3 boundaries and 8 sixes, What percent of his total score did he make by running between the wickets?

  

  

  

  

If x + y = 2, xy = 1, then the values of x and y are respectively

  

  

  

  

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?

  

  

  

  

The value of √0.121 is:

  

  

  

  

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