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.
Start Test

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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?

  

  

  

  

A singles tennis tournament is held, in which 30 men participated. If a player is eliminated as soon as he loses a match, how many matches are required to determine the winner

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

The average weight of 8 persons 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?

  

  

  

  

  

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 A’s salary is 25% higher than B’s salary, how much per cent is B’s salary lower than A’s

  

  

  

  

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?

  

  

  

  

Amit invests Rs. 9000 partly in 5%, Rs. 167 Shares @ Rs.240 and partly in 3% Rs. 700 shares @ Rs.850. If his total income is 500, how much has he invested in each?

  

  

  

  

In a game of 100 points, A can give B 20 points and C 28 points. Then, B a start of 8 m and still beats him by 8 sec. The speed of B is

  

  

  

  

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?

  

  

  

  

Ujakar and Keshab atternplted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the original quadratic equation?

  

  

  

  

 If g = log, (ax) then pz =

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

A shopkeeper purchases 10 kg of rice at 600 and sells at a loss as much the selling price of 2 kg of rice. Find the sale rate of rice/kg.

  

  

  

  

  

(13)3+73/(13)2+72-? =20

  

  

  

  

(2.0001)^3=?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

If santa can walk a certain distance in 200 days when he rests 18 hours each day; how long will it take to walk twice the distance twice as fast and the rest half as long each day ?

  

  

  

  

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?

  

  

  

  

Water flows at the rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm?

  

  

  

  

A well 20m in diameter is dug 15m deep and earth is spread all around a width of 5m to form an embankment. Find the height of the embankment.

  

  

  

  

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 shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

  

  

  

  

A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed in the train travelling?

  

  

  

  

If a = 0.1039, then the value of √4a2-4a+1 +3a is 

  

  

  

  

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 

  

  

  

  

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?

  

  

  

  

An automobile financier claims to be lending 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:

  

  

  

  

30 laborers, working 7 hours a day can finish a piece of work in 18 days. If the laborers work 6 hours a day, then the number of laborers to finish the same piece of work in 30 days, will be:

  

  

  

  

 (3² * 4² * 5) ÷ 36 = (?)²-80  

  

  

  

  

  

At what approximate time between 4 and 5 am will the hands o f a clock be at right angle?

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

  

Arun borrowed a sum of money from  Jayant at the rate of 8% per annum simple interest for the first four years; 10% per annum for the next six years and 12% per annum for the period beyond ten years. If he pays a total of ?12,160 as interest only at the end of 15 years, how much money did he borrow?

  

  

  

  

  

The profit earned after selling a T-shin for Rs. 575/- is the same as loss incurred after selling the same T-shirt for Rs. 295/-. What is the cost price of the T-shirt? 

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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;

  

  

  

  

If 20 – 4 = 10 and 30 – 6 = 10 then 40 – 8 = ?

  

  

  

  

16.02 x 0.001 =?

  

  

  

  

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?

  

  

  

  

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

  

  

  

  

180% of 25501 + 50% of 28999 = ?

  

  

  

  

  

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?

  

  

  

  

A boat can travel with a speed of 13km/hr in still water .if the speed of the stream is 4km /hr  Find the time taken by the boat to go 68km downstream

  

  

  

  

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:

  

  

  

  

A tempo is insured to the extent of 4 5 of its original value. If the premium on it at the rate of 1.3 percent amounts to Rs. 910, the original value of the tempo is

  

  

  

  

  

A square of 36 cm x 36 cm is completely divided into a grid of cells of size 3 cm x 2 cm each, where 3cm is the vertical dimension of each cell and 2 cm is the horizontal dimension. What is the total number of squares that can be located in the grid?

  

  

  

  

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

  

  

  

  

  

In how many ways can the letters of the word LEADER be arranged?

  

  

  

  

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

  

  

  

  

If the expenditure of Company B increased by 20% from 1995 to 1996, the income in 1996 will be how many times the income in 1995?

  

  

  

  

  

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

  

  

  

  

  

If a man rows at the rate of 5 km ph in still water and his against the current is 3.5km ph, then The man’s rate along the current is:

  

  

  

  

If r(x) is the remainder obtained by dividing a polynomial p(x) by another polynomial q(x), then

  

  

  

  

Two shopkeepers announce the same price of Rs. 700 for a sewing machine. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount, charges…………less than the other shopkeeper.

  

  

  

  

Karan and Arjun run a 100-metre race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100-metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race

  

  

  

  

(-5)(4)(2)(-1/2)(3/4)= ?

  

  

  

  

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?

  

  

  

  

  

The ratio of the present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years?

  

  

  

  

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

  

  

  

  

5, 6, 3, 4, 1, ____

  

  

  

  

Manoj sold and article for Rs. 15,000. Had he offered a discount of 10% on the selling price he would have earned a profit of 8%. What is the cost price?

  

  

  

  

  

A powder tin has a square base with side 16 cm and height 28 cm. Another tin has a circular base with diameter 16 cm and height 28 cm. Find the difference in their capacities. 

  

  

  

  

 If s varies directly as e and s/e = 6, then what is the value of s when e = 2.2?

  

  

  

  

  

A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

Rs.7,50,000 are invested in Rs. 100 shares which are quoted at Rs.1200. Find the income if 25 % dividend is declared on the shares.

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

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 farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

  

  

  

  

3.14% of 1250 - 1.5% of 2500 =? – 1.55

  

  

  

  

The simple interest accrued on a sum of certain principal is Rs. 2,000/- in five years at the rate of p.c.p.a. What would be the compound interest accrued on a principal at same rate in two years?

  

  

  

  

  

How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

  

  

  

  

If the sum of the first 11 terms of an arithmetic progression equals that of the first 19 terms, then what is the sum of the first 30 terms?

  

  

  

  

(47.5*6* 8) ÷ 12-38=?  

  

  

  

  

  

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:

  

  

  

  

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:

  

  

  

  

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?

  

  

  

  

  

At what rate percent per annum will the simple interest on a sum money be 2/5 of the amount in 10 years?

  

  

  

  

The distance between the points (-9, 5) and (-8, -20) is

  

  

  

  

  

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.

  

  

  

  

In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining food last now?

  

  

  

  

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?

  

  

  

  

Harkamal purchased 8 Kgs. of grapes at the rate of Rs. 70/- per Kg. and 9 Kgs. of mangoes at the rate of Rs. 55/-per kg. How much amount did he pay to the shopkeeper?  

  

  

  

  

  

If 4x + 3y = 18xy and 2x – 5y + 4xy = 0, then the value of x and y will be respectively:

  

  

  

  

If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day; in how many days will 16 pumps raise 1736 tonnes of water, working 9 hours a day?

  

  

  

  

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:

  

  

  

  

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?

  

  

  

  

A material is purchased for Rs. 600. If one fourth of the material is sold at a loss of 20% and the remaining at a gain of 10%, Find out the overall gain or loss percentage?

  

  

  

  

In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65. How many subjects were there in the examination?

  

  

  

  

A and B are two taps which can fill a tank individually in 10 minutes and 20 minutes respectively. However, there is a leakage at the bottom which can empty a filled tank in 40 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there) ?

  

  

  

  

  

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

  

  

  

  

  

87878 - 7878 - 6666- 777- 33 =?  

  

  

  

  

  

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