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

171.995 x 14.995 ÷ 25 = ?

  

  

  

  

  

Jatin bought a refrigerator with 20% discount on the labeled price. Had he bought it with 25% discount, he would have saved Rs. 500. At what price did he buy the refrigerator?

  

  

  

  

If Rs. 782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4 then the first part is:

  

  

  

  

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?

  

  

  

  

  

The H.C.F and L.C. M. of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is:

  

  

  

  

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 company E employees decide to shift from Alliance to Shergil, and each employee makes1000 calls and sends 200 SMS, what is the estimated monthly savings for the company on themobile phone bill of all its employees?

  

  

  

  

The H.C.F of 2/3, 8/9, 64/81 and 10/27 is:

  

  

  

  

After successive discounts of 12% and 5% an article was sold for Rs. 209. What was the original price of the article?

  

  

  

  

I f 09/12/2001 happens to be Sunday, then 09/12/1971 would have been at

  

  

  

  

  

At a simple interest ? 800 becomes ? 956 in three years. If the interest rate, is increased by 3%, how much would ?800 become in three years?

  

  

  

  

  

A wholesaler allows a discount of 10% on cash payment. The value of the article for which the customer paid Rs. 180 is-

  

  

  

  

If the S.P of Rs. 24 results in a 20% discount on list price. What S.P. would result in a 30% discount on list price?

  

  

  

  

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

  

  

  

  

If ‘P’ denotes ‘multiplied by’ , ‘R’ denotes ‘added to’; ‘T’ denotes ‘subtracted from’ and ‘W’ denotes ‘divided  by ‘, then 64W4P8TR$=?

  

  

  

  

  

What percentage of 2650 is Rs.1987.50?

  

  

  

  

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?

  

  

  

  

Find the number of triplets of real numbers (x, y, z) which satisfy (x + y)3 = z (y + z)3 = x (z + x)3 = y

  

  

  

  

  

56.703 - 63.179 + 49.361 =?

  

  

  

  

  

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

  

  

  

  

A circular garden has a circumference of 440m. There is a 7m border inside the garden along its periphery. The area of the border is

  

  

  

  

Which of the following is equal to 3.14 x 106?

  

  

  

  

A certain sum of money is borrowed by a person at 8% simple interest for 4 years. If he has topay Rs. 7384 as interest, what is the total amount he has to pay?

  

  

  

  

  

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?  

  

  

  

  

  

What annual instalment will discharge a debt of 4,200 due in 5 yearsat 10% simple interest?

  

  

  

  

  

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:

  

  

  

  

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

  

  

  

  

  

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

  

  

  

  

If x=2+22/3+21/3, then which of the following is true?

  

  

  

  

What is the slope of the line given by the equation 2h – 8 = 7 – 2a?

  

  

  

  

  

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

  

  

  

  

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

  

  

  

  

If (z – 5) = 4z – 8, then which of the following could be the value of z?

  

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

The banker’s discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is

  

  

  

  

√571536/42 * ?=5850

  

  

  

  

  

Two diagonals of a parallelogram are 72 cm and 30 cm respectively. What is its perimeter?

  

  

  

  

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

  

  

  

  

  

16.02 x 0.001 =?

  

  

  

  

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

  

  

  

  

A person borrows rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 1/4 % p.a. for 2 years. Find his gain in the transaction per year

  

  

  

  

  

In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?

  

  

  

  

If (√3)5 x 92 = 3n x 3√3, then the value of n is:

  

  

  

  

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:

  

  

  

  

A number when decreased by 14% of it, gives 215. What is the number?

  

  

  

  

A car travels a distance of 360km at a uniform speed. If speed of the car is 20km/hr more then time is 3 hrs. less.The original speed of car was:

  

  

  

  

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.

  

  

  

  

The mean o 12, 22, 32, 42, 52, 62, 72 is:

  

  

  

  

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

  

  

  

  

The price of tea being increased by 20%, a man reduces his consumption by 20%. By how much percent will his expenses for tea be decreased?

  

  

  

  

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

  

  

  

  

√7+√5 / √7 - √5 is equal to

  

  

  

  

16 men can complete a work in 35 days. In many days can 28 men complete the same piece of work?

  

  

  

  

  

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

  

  

  

  

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?

  

  

  

  

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

  

  

  

  

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quality sold at 18% profit is:

  

  

  

  

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

  

  

  

  

  

If (x + z) (x – 2y + z) = (x – z)2, where x, y and z are all real and distinct, then

  

  

  

  

892.7 – 573.07 – 95.007 =?

  

  

  

  

Where defined, {y2 – 3/3} {8/2y + 3} =

  

  

  

  

  

A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr The man’s speed against the current is?

  

  

  

  

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

  

  

  

  

Two urns contain 5 white and 7 black balls and 3 white and 9 black balls respectively. One ball is transferred to the second urn and then one ball is drawn from the second urn. Find the probability that the first ball transferred is black, given that the ball drawn is black?

  

  

  

  

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining works?

  

  

  

  

  

Company A pays 5.5% on shares of Rs.100, and another pays at the rate of 3.5%  On shares of Rs.10 each. If the price of the former be Rs.150.00 and of the later Rs.15.00, compare the rates of interest which the shares return to a purchaser.

  

  

  

  

If 1 + 2 + 22 + 23 +.......+ 250 is divided by 7, what will be the remainder?

  

  

  

  

In how many distinguishably different ways can a cube be painted using at most two colours - White and Black - such that each face is coloured with exactly one of the two given colours?

  

  

  

  

  

The square root of (7 + 3√5)(7-3√5) is:

  

  

  

  

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

  

  

  

  

Find the number of solutions in positive integers (k; a1, a2, . . . , ak; b1, b2, . . . , bk) to the equation a1(b1) + a2(b1 + b2) + · · · + ak(b1 + b2 + . . . + bk) = 7

  

  

  

  

  

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

  

  

  

  

A and B are two stations 300 km apart. Two trains T1 and T2 start from A and B respectively, towards each other at the same time. T1 reaches B nine hours and T2 reaches A four hours after they meet. Find the difference between the speeds of T1 and T2

  

  

  

  

345/23 /5 = ?

  

  

  

  

  

(98x198)÷(48x148)=?

  

  

  

  

  

The sum of the radius of the base and height of a solid cylinder is 40m. If the total surface area of the cylinder is 1760 m2 its volume is:

  

  

  

  

A man invested 1/3 of his capital at 7%, 1/4 at 8% and the remainder at 10%. If his annual income is Rs. 561, the capital is

  

  

  

  

The number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm, required to construct a wall 6m long , 5m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is

  

  

  

  

Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5 ?

  

  

  

  

A. Some babies are boys; Some boys are fathers; Some babies are fathers B. Some films are books; Some books are good; Some films are good C. Some fruits are sweet; Some mangoes are sweet; Some fruits are mangoes D.Some mothers have babies; Some babies are boys; Some mothers have boys

  

  

  

  

9050 ÷ 40=?  

  

  

  

  

  

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:

  

  

  

  

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

  

  

  

  

  

A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is:

  

  

  

  

A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement. Find the probability that both toys will show even numbers.

  

  

  

  

19% of 421+? =150

  

  

  

  

  

(2.0001)^3=?

  

  

  

  

  

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

  

  

  

  

(25.01)2 -(15.99)2=?

  

  

  

  

  

The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?

  

  

  

  

A person spends 65 per cent of his capital on machines and 22 per cent on raw materials. If 20 per cent of what he spent on machines is Rs 1300, then how much did he spend on machines and material (in rupees)?

  

  

  

  

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:

  

  

  

  

80% of p = 40% of Q and Q = X % P . Then the value of x is

  

  

  

  

Kamya purchased an item of Rs. 46,000 and sold it at loss of 12 per cent. With that amount she purchased another item and sold it at a gain of 12 per cent. What was her overall gain/loss?

  

  

  

  

  

3 pipes can fill a reservoirin 10,15 and 20 hrs. resp. The first was opened at 5 a.m. , the second at 6 a.m., third at 7 a.m. When will the reservoir the filled?

  

  

  

  

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

  

  

  

  

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?

  

  

  

  

  

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

  

  

  

  

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