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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   Time Left : 00 : 30    : 00

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.

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

If a sum of money at certain rate of interest doubles in 5 years and at a different rate of interest becomes 3 times in 12 years, the better rate of interest is

  

  

  

  

A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.

  

  

  

  

  

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?

  

  

  

  

By selling an article for Rs. 100, a man gains Rs. 15. Then, his gain % is:

  

  

  

  

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?

  

  

  

  

  

A bag contains 50p, 25p and 10p coins in the ratio 5 : 9 : 4 amounting to Rs.206. Find the number of coins of 10p?

  

  

  

  

Which of the following statements is correct about the cumulative production of the plant from the year 1999 to the year 2004

  

  

  

  

If f (x+(y/8), x-(y/8)) = xy, then f (m, n) + f (n, m) = 0

  

  

  

  

 If g = log, (ax) then pz =

  

  

  

  

  

45 men can do a piece of work in 20 days. How many men would be required to do the same work in 30 days?

  

  

  

  

  

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

  

  

  

  

How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.

  

  

  

  

40219+ 38924 =?+67713

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

If 80 lamps can be lighted, 5 hours per day for 10 days for Rs. 21,25, then the number of lamps, which can be lighted 4 hours daily for 30 days, for Rs. 76.50, 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:

  

  

  

  

If a + b + c = 13, a2 + b2 + c2 = 69, then find ab + bc + ca.

  

  

  

  

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:

  

  

  

  

If a2 = b4 = c8 = d16, then logd2 (abc)1/3

  

  

  

  

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?

  

  

  

  

If both the pipes are opened, how many hours will be taken to fill the tank? I. The capacity of the tank is 400 litres. II. The pipe A fills the tank in 4 hours. III. The pipe B fills the tank in 6 hours.

  

  

  

  

If √2n = 64, then the value of n is:

  

  

  

  

(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 18 binders bind 900 books in 10 days, how many  binders will be required to bind 660 books in 12 days?

  

  

  

  

The average weight of 8 person's 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 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 and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

  

  

  

  

If √24 = 4.899, the value of √8/3 is

  

  

  

  

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

  

  

  

  

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

  

  

  

  

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 price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?

  

  

  

  

  

The value of(1/3 log10 125- 2log10 4+log10 32) is

  

  

  

  

A train 150 meters long running at a speed of 60 kmph takes 30 seconds to cross a bridge. The length of the bridge is,

  

  

  

  

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

  

  

  

  

The difference between a discount of 50 % on Rs. 500 and two successive discounts of 45 % and 5% on the same amount is

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

The curved surface area of a right circular cylinder of base radius r is obtained by multiplying its volume by

  

  

  

  

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

  

  

  

  

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

  

  

  

  

If (x + 4) (x + 6) (x +1) 2> 0, then the solution set for the inequality is

  

  

  

  

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

  

  

  

  

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

  

  

  

  

For Company A, in which year is the percentage increase/ decrease in the production from the previous year the highest?

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

  

If a/3 = b/4 = c/7, then a + b + c /c is equal to:

  

  

  

  

A sum fetched a total simple interest of RS. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

  

  

  

  

  

1/2 of 4/5 of 3/8 of 7450=?  

  

  

  

  

  

The Ratio of Science and Arts students in a college is 4:3. If 14 Science students shift to Arts then the ratio becomes 1:1. Find the total strength of students in both science and arts together

  

  

  

  

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

  

  

  

  

  

74x 25-33x 45=?

  

  

  

  

  

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

  

  

  

  

Solve the following equation 3s + 5 = s – 1

  

  

  

  

  

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 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:

  

  

  

  

Find the average of the following set of scores.746 1020 321 12 63 428 226 144

  

  

  

  

  

If the value of x lies between 0 & 1 which of the following is the largest?

  

  

  

  

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

  

  

  

  

  

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

  

  

  

  

40.83 x 1.02 x 1.2 =?

  

  

  

  

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?

  

  

  

  

  

In which category was the percentage of spam emails increasing but at a decreasing rate?

  

  

  

  

Triangle ABC is right angled at A and has a perimeter of 136. A circle is drawn from A point X on AB such that it is tangent to BC and AC.The radius of the circle is 17 . If BX=m/n where m and n are relatively prime.Then m + n =?

  

  

  

  

  

The value of log2(log3 625) is

  

  

  

  

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

  

  

  

  

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs. 100 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay:

  

  

  

  

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

  

  

  

  

19% of 421+? =150

  

  

  

  

  

The dimensions of a room are 10 m × 7m ×5 m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1 m × 3m, one window is of size 2 m× 1.5 m and the other two windows are of size 1 m × 1.5 m. The cost of painting the walls at Rs. 3 per m2 is

  

  

  

  

What is the largest number of pipes of the shape of right circular cylinders with length10 cm and radius 1 cm that can be fitted into a box, all of whose sides are 20 cm in length?

  

  

  

  

(log5 3)X(log3 625) equals

  

  

  

  

(2.0001)^3=?

  

  

  

  

  

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?

  

  

  

  

1 27 127 343 729

  

  

  

  

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

  

  

  

  

7080÷925 X 741 - 172 =?

  

  

  

  

  

Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16,500 at the end of the year, B’s share is:

  

  

  

  

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:

  

  

  

  

s varies directly as the square of p. When s = 3.5, p = 0.5 If s = 90, then c would be equal to

  

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights

  

  

  

  

A began a business with Rs. 85, 000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

  

  

  

  

If 0.75 : Z : : 5 : 8, then Z is equal to

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The value of √0.121 is:

  

  

  

  

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

  

  

  

  

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