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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P ( - 4, b ) and Q ( 2, b + 2 ) are 2 points and the co-ordinates of the middle point of PQ are ( - 2, 2) . The value of b is

  

  

  

  

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?

  

  

  

  

  

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, Rs.8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which he was receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

  

  

  

  

A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?

  

  

  

  

74x 25-33x 45=?

  

  

  

  

  

23 10 40 172 885 5346

  

  

  

  

  

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:

  

  

  

  

If 8a + 4b = 11 and 2a + 4g = 5. The value of b = 2. You need to find the value of a and g.

  

  

  

  

  

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

  

  

  

  

If 7s + 2e = 14 and s – 2e = 5, then what is the value of s?

  

  

  

  

  

A monkey ascends a greased pole 12 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top?

  

  

  

  

  

In the adjoining figure, AC + AB = 5 AD and AC - AD = 8. The area of the rectangle ABCD is:

  

  

  

  

Vivek 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?

  

  

  

  

  

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is

  

  

  

  

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:

  

  

  

  

If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be:

  

  

  

  

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:

  

  

  

  

7414 + 3698 + 1257 + 1869 = ?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

  

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:

  

  

  

  

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:

  

  

  

  

Two busess travel to a place 20 kmph and 40 kmhr. If the second bus takes 6 hrs. less than the fixed for the journey the length of the journey is:

  

  

  

  

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

45% of816 - 23% of? = 240.7  

  

  

  

  

  

A car travels a distance of 120 Km at the rate of 30 Km/h. It covers the nest 150 Km at the rate of 25 km/h and the last 90 Km   of its journey at the speed of 18 Km/h. what is the average speed of the car?

  

  

  

  

  

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?

  

  

  

  

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

  

  

  

  

If ax - b, by – c and cz – a, then the value of xyz is:

  

  

  

  

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

  

  

  

  

What is the least number of square tiles required to pave the floor of a room 15 cm 17 cm long and 9 m 6 cm broad?

  

  

  

  

By how much does √12 + √18 exceed √3 + √2 ?

  

  

  

  

The cross-section of a canal is trapezium in shape. The canal is 12m wide at the top and 8 m wide at the bottom. If the area of the cross-section is 840sq.m, the depth of the canal is:

  

  

  

  

A 270-metre-long train running at the speed of 120 kmph crosses another train running in opposite direcion a the speed of 80 kmph in 9 secs. What is the length of the other train?

  

  

  

  

  

(A) All batsmen are bowlers.       (B) No bowler is a keeper. (C) Some bowlers are batsmen.   (D) Some keepers are bowlers. (E) All keepers are batsmen.        (F) Some batsmen are not keepers.

  

  

  

  

If the income of the company in the year 2007 was Rs. 45 lakhs, what was the expenditure of the company in the year?

  

  

  

  

  

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:

  

  

  

  

Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

  

  

  

  

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is

  

  

  

  

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;

  

  

  

  

The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80 after getting two successive discounts, the first being 10%. What was the second discount rate?

  

  

  

  

The price of sugar having gone down by 10%, Sharad can buy 6.2 kg more for Rs. 279. The difference between the original and the reduced price (per kg) is:

  

  

  

  

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:

  

  

  

  

Cost of painting the 4 walls of a room 40ft.*15ft. At Rs.5 per square feet is Rs.7500. Find the height of the room?

  

  

  

  

A contractor undertakes to built a walls in 50 days. He employs 50 peoples for the same. However after 25 days he funds that only 40% of the work is complete. How many more man need to be employed to complete the work in time ?

  

  

  

  

  

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was again of Rs. 4005, then what will be the share of Kamal?

  

  

  

  

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

  

  

  

  

Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

  

  

  

  

The ratio between the length and the perimeter of a rectangular plot is 1 : 3. What is the ratio between the length and breadth of the plot?

  

  

  

  

Given √5 = 2.2361, √3 = 1.7321, then 1/√5 - √3 is equal to;

  

  

  

  

13 16 21 27 39 52 69

  

  

  

  

  

If the numerator of a fraction is increased by 200%and the denominator of the fraction in increased by 150%, the resultant fraction is 7/10. What is the original fraction?

  

  

  

  

  

A, B and C enter into partnership. A invests some money at the beginning. B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 27,000, C’s share is:

  

  

  

  

Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is:

  

  

  

  

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

  

  

  

  

What percent of 7.2 kg is 18 gms ?

  

  

  

  

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as intrest at 4.5%per annum of simple interest?

  

  

  

  

If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone:

  

  

  

  

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:

  

  

  

  

76% of (?) – (11)² = 525

  

  

  

  

  

If x + y > 4 and x < 3, then y > 1 is true.  Is this statement true?

  

  

  

  

The value of (4.7 x13.26 + 4.7 x 9.43 + 4.7 x 77.31 ) is

  

  

  

  

If 8 men can reap 80 hectares 24 days, then how many hectares can 36 men reap in 30 days?

  

  

  

  

If a, b and c are the sides of a triangle and a4 + b4 + 2a2b2 = c4, then the triangle is

  

  

  

  

If the equations x2 + ax + b = 0 and x2 + bx + a = 0, have one root in common, then find the value of (a + b).

  

  

  

  

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

  

  

  

  

(logb a X logc b X loga c) is equal to

  

  

  

  

What is 35% of 42% of (6/7)th of 500?

  

  

  

  

  

A boy goes to his school form his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is:

  

  

  

  

In which year was the per capita availability of tea minimum?

  

  

  

  

A group of 630 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What number of rows is not possible.

  

  

  

  

  

(4576+ 3286+ 5639)÷(712+415 + 212)=?

  

  

  

  

  

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

  

  

  

  

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 , B , C started a partnership business by investing Rs 27000 , 72000 , 81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?

  

  

  

  

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

  

  

  

  

Two trains, one from Howrah to Patna and other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is

  

  

  

  

(872% of659) ÷ 543 = ?

  

  

  

  

  

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

  

  

  

  

If log 2=0.30103, the number of digits in 450 is

  

  

  

  

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

  

  

  

  

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 ?

  

  

  

  

When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

  

  

  

  

By selling 75 toys a shopkeeper gains the selling price of 25 toys. Find his gain percent

  

  

  

  

What is the minimum length of a string with which one can surround a triangle of area 36√3 cm?

  

  

  

  

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

  

  

  

  

  

If √1+55/729=1+x/27 then the value of x is :

  

  

  

  

A circular park has a path of uniform width around it. The difference between outer and inner circumference of the circular path is 132m. Its width is:

  

  

  

  

A, B and C together earn Rs. 300 per day, while A and C together earn Rs. 188 and B and C together earn Rs.152. The daily earning of C is;

  

  

  

  

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

  

  

  

  

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

  

  

  

  

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?

  

  

  

  

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?

  

  

  

  

If he is able to sell only 1200 out of the 1500 watches he has made in the season, then in the season he has made a profit of:

  

  

  

  

A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is:

  

  

  

  

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