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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How many Kg of rice at Rs.6.60 per Kg. be mixed with 56Kg of rice at Rs.9.60 per Kg to get a mixture worth Rs.8.20 per Kg

  

  

  

  

Taps A and B can independently fill a tank in 6 and 10 hours . Leak C can empty a filled tank in 8 hours. On an empty tank A, B, C are opened. How long does it take to fill the tank

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran’s share in the profit?

  

  

  

  

  

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'

  

  

  

  

  

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

  

  

  

  

  

A general wishes to draw up his 36581 soldiers in the form of a solid square. After arranging them, he found that some of them are left over. How many are left?

  

  

  

  

A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 2/5 of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time, each persons now working 9 hours a day.

  

  

  

  

135-924÷2-132x 6=?  

  

  

  

  

  

Murali 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. Find out his profit percentage.

  

  

  

  

If log8 (X2+X)-log5(x+1)=2, then the value of x is

  

  

  

  

√0.00169x?=1.3

  

  

  

  

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?

  

  

  

  

Peter bought an item at 20% discount on its original price. He sold it with 40% increase on the price he bought it. The new sale price is by what percent more than the original price?

  

  

  

  

  

If h = 2/3 and k = 6 then k/h + 4/h2 =

  

  

  

  

  

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

  

  

  

  

In a 100m race A cover the distance in 36 seconds and B in 45 seconds. In this race A beats B by

  

  

  

  

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

  

  

  

  

Sakshi can do a piece of work in  20 days. Tanya is 25% more efficient tha Sakshi. The number of days taken by Tanya to do the same piece of work is

  

  

  

  

  

2 trains starting at the same time from 2 stations 200km apart and going in opposite direction cross each other at a distance of 110km from one of the stations. What is the ratio of their speeds?

  

  

  

  

What is the ratio whose terms differ by 40 and the measure of which is 2/7?

  

  

  

  

Find the area of the cyclic quadrilateral whose sides are 15,12,10 and 13 cms.

  

  

  

  

How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3, and 4, if repetition of digits is allowed?

  

  

  

  

  

Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after 6 months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R?

  

  

  

  

A man rows downstream at 32 km and 14 km upstream at 13kmph.the speed of the stream is:

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

  

Find the number of pairs of real numbers x, y such that (x2 + 8x +17)(y2 − 2y + 6) = 5

  

  

  

  

  

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 (4.7 x13.26 + 4.7 x 9.43 + 4.7 x 77.31 ) is

  

  

  

  

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

  

  

  

  

In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

  

  

  

  

√7+√5 / √7 - √5 is equal to

  

  

  

  

A flagstaff 17.5 m high casts a shadow of length 40.25m. The height of the building which casts a shadow of length 28.75 under similar conditions will be:

  

  

  

  

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

  

  

  

  

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

  

  

  

  

85 kg of a mixture contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3 : 1 ?

  

  

  

  

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?  

  

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

A retailer buys an electronic buzzer for Rs. 215. His overhead expenses are Rs. 25. If he sells the buzzer for Rs. 300, his profit percentage would be

  

  

  

  

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?

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

The jogging track in a sports complex is 726 metres in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in:

  

  

  

  

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours then the speed of the first train is:

  

  

  

  

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

  

  

  

  

In a class, there are 100 students and among them 40 are girls. What is the ratio of the number of boys to the number of girls?

  

  

  

  

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

  

  

  

  

If r varies directly as n and r/m = 10, then what is the value of r when m = 2.2?

  

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

The ratio of actual spending on food in 2005 to that in 1980 is:

  

  

  

  

  

In a cyclic quadrilateral ABCD, if AB = 2, BC = 3, CD = 4 and DA = 5, what is the ratio of the lengths of the diagonals?

  

  

  

  

100 x 10 -100+2000÷100 =?

  

  

  

  

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?

  

  

  

  

24 men working 8 hours a day can finish a work in 10 days. Working at he rate of 10 hours a day, the number of men required to finish the same work in 6 days is

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

In an organisation average salary of employee is Rs 12,000. If the average salary of 15 employees is increased by 15% and the average salary of remaining 10 employees is increased by 10%, what is the overall percentage increase in average salary of all the 25 employees together

  

  

  

  

  

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 ?

  

  

  

  

Let x1, x2, ..., be positive integers in A.P. such that x1 + x2 + x3 = 12 and x4 + x6 = 14. Then x5 is

  

  

  

  

If (c – 5) = 4c – 7, then which of the following could be the value of c?

  

  

  

  

  

The value of √0.121 is:

  

  

  

  

In how many of the given years was the production of Milk more than the average production of the given years?

  

  

  

  

9050 ÷ 40=?  

  

  

  

  

  

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

  

  

  

  

(3/7)*(4/9) *(2/7) * 3719 =?

  

  

  

  

  

A, B, C enters into a partnership investing Rs 35000 Rs 45000 and Rs 55000 respectively. The respective shares of A, B and C in annual profit of Rs 40,500 are

  

  

  

  

A can run 1 km in 3 min. 10 sec. and B cover the same distance in 3 min. 20 sec. By what distance can A beat 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. The number of pupils in the class is:

  

  

  

  

  

2.002 + 7.9 {2.8 – 6.3 (3.6 – 1.5) + 15.6} = ?

  

  

  

  

A jogger running at 9 kmph alongside a railway track is 240 meters ahead of the engine of a 120 meter long train running at 45 kmph in the same direction. How much time will the train pass the jogger?

  

  

  

  

A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?

  

  

  

  

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 question mark (?) 362.721 + 431.027 - 118.079 = 521.211 + ?

  

  

  

  

  

270 candidates appeared for an examination, of which 252 passed. The pass percentage is:

  

  

  

  

If one number is 80% of the other and 4 times the sum of their squares is 656, then the number are?

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

A rectangle has width a and length b. If the width is decreased by 20% and the length is increases by 10%, then what is the area of the new rectangle in percentage compared to ’ab’ ?

  

  

  

  

The boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls are adults, the percentage of students who are not adults is:

  

  

  

  

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?

  

  

  

  

Mr. Amin borrowed some money from Mr Vishwas. The of interest for first two years is 8% p.a., for the next tit years is 11 % p.a. and for the period beyond 5 years I p.a. Mr Vishwas got an amount of 210920 as an intere the end of eight years. Then what amount was borrowed  MrAmin?

  

  

  

  

  

If in a code, 52 – 36 = 97 and 46 – 78 = 1510, then how 53 – 62 can be encoded?

  

  

  

  

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

  

  

  

  

Walking at 2/3 of his usual speed a man is 2 hrs.late. Find his actual travel time

  

  

  

  

A certain amount was divided between A and B in the ratio 4 : 3. If B’s share was Rs. 4800, the total amount was:

  

  

  

  

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

  

  

  

  

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. 

  

  

  

  

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

  

  

  

  

  

If 8% of x = 4% of y, then 20% of x is :

  

  

  

  

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

  

  

  

  

The number of solutions of x2 - 5|x| + 6 = 0 is

  

  

  

  

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:

  

  

  

  

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