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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In a house, there are dogs, cats and parrot in the ratio 3:7:5. If the number of cats was more than the number of dogs by a multiple of both 9 and 7, what is the minimum of pets in the house?

  

  

  

  

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?

  

  

  

  

How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?

  

  

  

  

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?

  

  

  

  

  

Euclid had a triangle in his mind .The longest side is 20 and the other side is 10.Area of the triangle is 80.The third side is

  

  

  

  

P beats Q by 5 seconds in a race of 1000m and Q beats R by 5 metres in a race of 100m. By how many seconds does P beats R in a race of 1000 m?

  

  

  

  

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 o = 4/3 and h = 6 then h/o + 4/o2 =

  

  

  

  

  

Within a square ground with one side 20 m , there is a square path that is 4 m in breadth. What is the area of the park without the path

  

  

  

  

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

  

  

  

  

Two pipes A and B can fill a cistern in 12 minutes and 16 minutes respectively. If both the pipes are opened together, then after how much time B should be closed so that the tank is full in 9 minutes?

  

  

  

  

A Started a business with 4500 and another person B joined after some period with  3,000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2:1  

  

  

  

  

  

If a - 4 = 4 (2- a), then what is the value of a?

  

  

  

  

  

A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the work, the daily wages of B and C are:

  

  

  

  

For prime numbers p and q, p + q = 102 and p > q. What is the least possible value of p − q?

  

  

  

  

  

In what time will a train 100 meters long cross an electric pole, if its speed be 144 km/hr?

  

  

  

  

The average of five consecutive numbers is n. If the next two numbers are also included, the average will :

  

  

  

  

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?

  

  

  

  

325-(12)² + 75= (?)²-68  

  

  

  

  

  

In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?

  

  

  

  

An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are:

  

  

  

  

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

  

  

  

  

A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

  

  

  

  

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?

  

  

  

  

  

Which family has the lowest average savings?

  

  

  

  

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

  

  

  

  

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?

  

  

  

  

How many 4-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed?

  

  

  

  

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:

  

  

  

  

A dog taken 4 leaps for every 5 leaps of a hare but three leaps of the dog is equal to 4 leaps of the hare. Compare their speeds

  

  

  

  

The value of 1/4 + 1/9 + 1/16 + ... +1/n2 is

  

  

  

  

If 5√5 x 53 + 5-3/2 = 5a+2, then the value of a is:

  

  

  

  

(xn - an) is completely divisible by (x - a), if

  

  

  

  

125% of 605 +(4/5) of 218 =?

  

  

  

  

  

If the area of a square increases by 69%, then the side of the square increases by

  

  

  

  

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

  

  

  

  

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in

  

  

  

  

In a race of 200m, A can beat B by 31 m and C by 18 m. In a race of 350m, C will beat B by:

  

  

  

  

The fourth proportional to 5, 8, 15 is:

  

  

  

  

How much of 200 Rs / kg type tea should be mixed with 12 kg of 100 Rs / kg type tea to make 160 Rs / kg of branded tea ?

  

  

  

  

76% of (?) – (11)² = 525

  

  

  

  

  

A rectangular plot 15 m x10 m, has a path of grass outside it. If the area of grassy pathway is 54 m2, find the width of the path.

  

  

  

  

  

When an item is sold for Rs. 18,700, the owner loses 15%. At what price should that plot be sold to get a gain of 15%?

  

  

  

  

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:

  

  

  

  

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:

  

  

  

  

Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs 153 per Kg , the price of the third variety per Kg will be?

  

  

  

  

23.999 X 9.004 X 16.997 =?

  

  

  

  

  

Milind takes as much time in running 15 metres as a car takes in covering 40 metres. What will be the distance covered by Milind during the time the car covers 2 km?

  

  

  

  

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

  

  

  

  

A train moves with a speed of 108 kmph. Its speed in meters per sec

  

  

  

  

In a 100 m race, A can give B 10 m and C 28 m. in the same race B can give

  

  

  

  

If 2p + 3q = 18 and 2p – q  =2, then 2p + q =?

  

  

  

  

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?

  

  

  

  

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

  

  

  

  

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 70 cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other. How many centimeters will the shorter piece be ?

  

  

  

  

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

  

  

  

  

ABCD is a rhombus with the diagonals AC and BD intersecting at the origin on the x - y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC?

  

  

  

  

a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are

  

  

  

  

  

The average of 10 numbers is 40.2. Later it is found that two  numbers have been wrongly copied. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.

  

  

  

  

  

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

  

  

  

  

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:

  

  

  

  

The total expenditure of the company over these items during the year 2000 is?

  

  

  

  

When processing flower-nectar into honeybees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 15% water?

  

  

  

  

A number when increased by 30% give 78 what is the number?

  

  

  

  

The currencies in countries X and Y are denoted by Xs. and Ys. respectively. The exchange rate in 1990 was 1 Xs. = 0.6 Ys. The price level in 2006 in X and Y are 150 and 400 respectively with 1990 as a base of 100. The exchange rate in 2006, based solely on this purchasing power parity consideration, is 1 Xs.=

  

  

  

  

750.46 + 114.09-84004 =? -13.09  

  

  

  

  

  

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:

  

  

  

  

Ina mixture of milk and water the proportion of water by weight was 75 %. If in the 60gms mixture 15 gms., water was added, what would be the percentage of water in the new mixture?

  

  

  

  

  

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

  

  

  

  

  

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?

  

  

  

  

What, according to the treasury secretary, was the only way out of the exchange problem?

  

  

  

  

If √24 = 4.899, the value of √8/3 is

  

  

  

  

If a = log2, b = log 3 and c = log 7 then find the value of log67 in terms of a, b and c.

  

  

  

  

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?

  

  

  

  

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

  

  

  

  

  

45% of816 - 23% of? = 240.7  

  

  

  

  

  

The distance between the points (3, -4) and (3, 3) is

  

  

  

  

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should be mixed from each of the containers so as to get 12 litres of milk such that the ratio of water of milk is 3:5?

  

  

  

  

The perimeter of a right-angled triangle is 60 cm. Its hypotenuse is 26 cm. The area of the triangle is

  

  

  

  

What will be the difference between simple and compound interest @ 10% per annum on a sum of Rs. 1000 after 4 years?

  

  

  

  

  

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

  

  

  

  

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

  

  

  

  

Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at, compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?

  

  

  

  

  

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:

  

  

  

  

The price of oil is increased by 25%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is

  

  

  

  

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

  

  

  

  

  

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:

  

  

  

  

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, what is the price of the third variety per kg ?

  

  

  

  

A pump can fill a tank with water in 2 hours. Because of a leak, it tookhours to fill the tank. The leak can drain all the water of the tank in:

  

  

  

  

What will be the area of a semi-circle whose perimeter is 36cm?

  

  

  

  

  

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:

  

  

  

  

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.

  

  

  

  

Rajesh walks to and fro to a shopping mall. He spends 30 minutes shopping. If he walks at speed of 10 km an hour, he returns to home at 19.00 hours. If he walks at 15 km an hour, he returns to home at 18.30 hours. How fast must he walk in order to return at 18.15 hours?

  

  

  

  

76% of 1285 = 35% of 1256 + ?

  

  

  

  

  

Solid cube of 6 * 6 * 6. This cube is cut into to 216 small cubes. (1 * 1 * 1).the big cube is painted in all its faces. Then how many of cubes are painted at least 2 sides.

  

  

  

  

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?

  

  

  

  

  

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?

  

  

  

  

If 2x = 3√32, then x is equal to :

  

  

  

  

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